The updating and revising of a plasma discharge simulation program

June 1

to 84

1 •** •*•••••••••••#•••••••*♦## A

THIS IS TO CERTIFY THAT THE THESIS PREPARED UNDER M Y SUPERVISION BY

... JOSEPH A. GIERTYCH

E N T I T L E D T H E U P D A T I N G AND REVISING OF A PLASMA DISCHARGE

SIMULATION PROGRAM

IS APPROVED BY M E AS FULFILLING THIS PART OF THE REQUIREMENTS FOR THE

DEGREE OP BACHELOR OF SCIENCE IN CHEMISTRY

In u tru ctor in C harge

HEAD OF DEPARTMENT OF.

/

THE UPDATING AND REVISING

OF A

PLASMA DISCHARGE SIMULATION

PROGRAM

BY

JOSEPH A. GIERTYCH

THESIS

for the

DEGREE OF BACHELOR OF SCIENCE

IN

CHEMISTRY

College of Liberal Arts and Sciences

University of Illinois

Urbana, Illinois

1984

Through college some students feel like accomplish­

ing a goal, other than finishing.

I sincerely thank Dr.

Alexander Scheeline for the opportunity of working

towards a goal.

X have found Dr. Scheeline unique and

outstanding compared to teachers of my past. His wit,

brilliance and absolute devotion to his group members

and science is nothing short of amazing.

To the whole group, thank you for accepting me

into your family.

I truly enjoyed working with all of

you.

X would like to specially thank Mark Lovik and Mike

Zoellner.

Their computer literacy helped me greatly in

saving time. Thank you.

X would also like to thank Greg Kamla, Jennifer

Cousins and Carl Hoyer. Their help in and out of class

(especially class notes) was greatly appreciated.

Finally I thank the National Science Foundation for

their support.

Table of Contents

Abstract

Page

I.

Introduction ...

1

II.

Program Description

...

4

A.

Initialization and

Control ...

4

B. C o n s t r u e ...

7

C.

Forward (Radial to

Lateral Inversion)

9

D.

N o i s e ... 10

E.

S m o o t h ... 11

F. Abel (Lateral to Radial

Inversion) .

12

G. O u t p u t ... .. ... 12

H.

Shift

. ... 13

I. W a n d e r ... 14

III.

Results and D i s c u s s i o n ... 15

IV.

C o n c l u s i o n... 17

Bibliography

... 19

Appendices

A.

Program Listing

B.

Program Sample Run

A previously developed simulation program that

modeled a plasma discharge was revised and updated. With

the assumption that the discharge is cylinderically

symmetric, the program employs the mathematical method of

Abel inversion to convert observable lateral emission

intensity profiles to chemically important radial emission

profiles and visa versa.

The simulation also has the

capability to model and/or compensate for line and back­

ground emission, instrument misalignment, noise, discharge

wander, and absorption.

Changes in the program were necessary to clarify

and prepare the simulation for user interpretation and

additions.

The present form of the program uses the

modern language abilities of VAX BASIC to accomplish this

goal •

1

I.

Introduction

Analytical chemistry! to the layman! is the "how

much?" and "what's in it?" branch of chemistry. While

the instruments and techniques of the analytical chemist

are developed to help answer these questions! the history

of analytical chemistry since the time of Lavoisier clearly

establishes it as a science. As such, the inquisitive

analytical chemist (scientist) has had a need to know,

"why?" and "how?".

In this paper the analytical chemist's instrument

is the emission spectrometer.

The technique is spatially

resolved spectroscopy or the spatial resolution of the

plasma discharge (spark, arc, etc.) of an emission spectro­

meter. While Scheeline and Walters knew that experimental

and optical procedures answered the previous questions to

a large extent, they felt that the equivalent mathematical

tools had not been fully developed (1).

To adapt these

mathematical tools computer simulation was incorporated.

This simulation is the focus of this paper.

The complete simulation to be revised and updated

was developed by Scheeline as previously mentioned (2).

The impetus for development of the simulation was to model

the discharge mathematically. With the assumption of

cylinderical symmetry, the discharge could theoretically

be divided into discrete geometrical areas, so called rings

and lateral zones*

Scheeline applied Abel inversion (3),

a process of matrix inversion, to numerically distinguish

between light emitted in (or absorbed by) the outer

cylinders of a co-axially wrapped vertical discharge from

that in the inner cylinders (4).

Scheeline and Walters

(5) also programmed into the simulation features that took

into consideration instrument misalignment and/or discharge

wander*

The original simulation also had the capacity to

include absorption and noise.

Scheeline's form of the simulation had distinct

assumptions and physical properties that limited its

ability to further model the plasma discharge. One of the

problems was that emission and absorption were considered

to be spatially segregated into separate rings.

Scheeline

persisted and derived a mathematical treatment to take

into account concommitant emission and absorption (6)•

As a senior thesis, this treatment was supposed to be inte­

grated into the program by the author.

However, due to

time constraints this part of the thesis was postponed

for another willing candidate*

The main focus of this thesis is to eradicate cer­

tain syntactical properties inherent in the primitive BASIC

and the disjoint logic of the original program. These

problems limit the simulation’s expandability and therefore

its application.

These characteristics were, at the time

3

the original program was written unavoidable due to

limited memory on computers available in 1974.

With the advancement u. hardware capability and

understanding of good documentation practices, updating

and revising became

a useful project in order to clarify

the interpretation and flow of the simulation program.

Some of the areas that were in need of updating were

descriptive variable names, structured programming, and

general language modernization.

Tha purpose of the review­

ing was to make control and flow characteristics of the

program more logical and aasily undarstandabla. A good

indication of this wss ths number of GOTO's that wars re­

duced to increase intelligible program flow and control.

The original program had approximately 325 GOTO's in 1100

lines of code while the revised program has 150 in 1400

lines of code. Another feature of the revision was tha

extraction from the original main control routine of a

user friendly subroutine.

This greatly improves the user's

ability to follow control in the main routine.

A description of what ia actually happening in the

program is included in the body of this paper for examina­

tion by users. The description will proceed into the mein

control routine, initializations and finally into each

subroutine. Unfinished bugs and additions will be dis­

cussed.

Included are a program listing and sample run

II.

Program Characterization

Structurally the program is designed to be used

interactively with instructions being specified by simple

commands. The program was intentionally structured in a

"pinwheel" fashion with a centrally connected series of

independent subroutines (7).

The center of the pinwheel

includes the initialization, main control routine and

the subroutine friendly.

The initialization part of the simulation program

includes the dimensioning of program variables, initiali­

zation of long, frequently used string expressions, the

reading in of numeric data, and the user initialisation of

specific program variables.

From examination of program

variables it can be seen that descriptive variable names

were implemented with the new language capabilities. The

initialization of requently used long string expressions

came in handy when brevity was desired in the enormous

number of print and variable statements.

Default data for

each subroutine is also read in along with area and inverse

matrix data.

The program was structured to be run ir. a batch

or time sharing mode.

This is the first question to be

answered by the user. The batch mode is a simpler method

for specifying user initialized variables. The time shar­

ing mode proceeds through a series of questions that are

answered successively by the user while in the batch mode

5

all user initialized variables may be input at one time

without questions.

These questions will be covered when

the Friendly routine is discussed.

The next question has

to do with noise that is added to certain profiles later in

the program.

The question asks if the user would like

to "randomize.” If not the reproducible BASIC standard

documentable noise is generated; otherwise nonreproducable

noise is generated.

Scheeling explained this as a feature

that allows reproducible noise that can be followed through

different calculations, monitoring its effect (8). For

distinct runs non-reproducible random noise can be gen­

erated also.

Other user specified variable quantities

initialized in the main control routine are

The spatial zone width?

The last emission ring?

and 2 flags.

These two flags determine if the transmit­

tance profile protection flag is "on" or "off." This is

recommended to be "on" to prevent Abel inversion to be per­

formed on self absorption data unless -.he back light inten­

sity was set before the absorption data were calculated.

This could lead to calculated negative emissivities or

division by

if not "on." The other flag determines if

the spatial emission/absorption profile (8) is automatically

generated. This is particularly helpful when profile 1 *s

radial emission data is used for the rings that emit and

profile 2*s radial absorption data is used for those rings

which absorb.

This artificially jenerated profile occurs

in subroutine construe and can be

ced extensively in

the other subroutines.

The other two parts of the center of the pihwHeet

include the main control routine and the subroutine

Friendly.

The main control routine first determinti if

the user desires a batch or time sharing nc

If a bitch

job is run command variables such as subroutine number,

option number, major and minor profiles involved and

which are the first and last rings or zones affected are

input with one command statmeent.

The main control routine

checks these inputs for erroneous answers.

It also checks

for inputs of

'O’

which means use default value

'-2* this indicates the user would like to

change the default value.

When inputting the first and last ring or zone numbers, the

following inputs have special meaning also:

*0* the same as above

*-1 1

this indicates that the user wants the

emission region to be the same for the

profile as in the initialization

'-2' indicates that the absorption region

occurs in the succeeding rings or

zones after the specified last emis-

sion ring in the initialization (up

to ring or zone 50).

After the input commands are set, the main control routine

shifts control to those subroutines desired.

7

The time sharing mode differs from the batch mode

only in the method used for inputting commands.

The same

checks (i.e. for defaults) are made and control is given

to the subroutines as explained above.

The setting of command variables is unique to

this mode because it uses the subroutine Friendly.

Friendly

explicitly asks the questions such as subroutine number,

option number, major profile involved, secondary profile

involved, and finally which are the first and last rings

or zones.

The answers to these questions are tested so

that erroneous information can be excluded while useful

information is extracted. This subroutine tries to compen­

sate for mistakes that occur with the typing in of answers.

It gives the added dimension of a user friendly program.

Certain keyboard characters, howev r have special meaning

when typed in as answers.

These are:

■E*, 'D*

tells Friendly to reask question

*S*, *T'

tells Friendly to stop asking ques­

tions and go into a termination of

the program mode

1R '

restarts Friendly from the first ques­

tion and excludes all previous inputs

with this feature inputs can be changed anywhere at any­

time in Friendly. Also they provide for an easy method

for termination of a program run.

The first user specified routine is Construe.

Construe provides a method for the user to construct

his/her own profiles.

This characteristic of the program

is particularly powerful due to the fact that artificially

generated data can show trends that would be laborious to

generate or examine experimentally. Construe has 28

options 1-14 and 20-34.

Option 1)

An on-axis (centered in ring or zone 0)

Gaussian distribution of a profile is generated and added

to the contents of the major profile.

The user can specify

the Gaussian’s halfwidth at half height.

Option 2)

An off-axis Gaussian profile is con­

structed as in 1).

The user also specifies the center of

this Gaussian.

Option 3)

An ellipsodial profile is constructed.

The user specifies which ring or zone the ellipse falls

to zero in. This profile is also added to the present

contents of the major profile.

Option 4)

Adds to the specified major profile a

homogeneous (constant) profile.

Option 5)

The user can specify the values that are

contained in any rings or zones in the major profile.

Option 6)

Here all the rings or zones of a profile

can be assigned any specified value.

Option 7)

Certain rings or zones of profile can

be specified to be multiplied by a scale factor.

Option 8)

All the rings or zones of a profile are

or can be multiplied by a scale factor.

9

Option 9)

The user specifies a constant that is

added to relected rings or zones of a profile.

Option 10)

All the rings or zones of a profile

have a constant added in.

option 11)

The secondary profile is added to major

profile with the rsulting profile stored in the major

profile.

The secondary profile is left unchanged.

Option 12)

The secondary profile is subtracted from

the major profile with the resulting profile contained in the

major profile while the secondary profile remains unchanged.

Option 13)

Every applicable point in a specified

profile is scaled by a specific factor.

Option 14)

The major and minor profiles are cross

multiplied with the result contained in the major profile.

Adding 20 to any of these 14 options, giving options

20-34, clears the major profile prior to construction.

Out­

put is always to the major profile.

Profile 8 is constructed

keeping in mind the emission-absorption boundary specified

in the initialization.

This occurs only if the user

specifies profile 8 to be constructed.

Forward is a subroutine that has the main function

of converting radial emission profile data to lateral

intensity data.

There are 6 options in Forward, 1-4, 12

and 13.

12 and 13 perform the same function as 2 and 3

but they ignore the emission - absorption boundry specified

in the initialization.

This means all rings and zones are

included in the calculations.

Option 1)

Here a complete radial to lateral emis-

sion/absorption calculation is performed.

The back light

profile is constructed if not previously done in Construe.

The major profile is used as the input radial emission

profile and the secondary profile for the absorption pro­

file. When profile 8 is chosen as input major profile then

profile 8 is also the secondary profile.

Output profile 3

is first cleared and then used to store the calculated lat­

eral intensity.

Option 2)

The radial emission to lateral intensity

conversion is performed on a completely emitting profile

(the major profile)•

Option 3)

The radial absorption profile is inverted

to produce the transmittance (lateral intensity profile)•

So here a purely absorbing body is only operated on.

Back

light is constructed if not already done so.

Option 4)

An emitter surrounded by an absorber

(described by the secondary profile) can be used to describe

this option's function.

The lateral intensity profile is

therefore attenuated while taking into consideration this

absorption.

Noise is a very descriptive name for this next sub­

routine.

It basically adds differing amounts of noise to

different profiles.

It has 6 options 1-4, 14 and 24.

The

noise is always added to the present contents of the file.

11

The reault is contained in the major profile involved.

Option 1)

This option adds noise, that is independ­

ent of the input noiseless data, to the desired profile.

Option 2)

Here noise is added to the profile

according to the maximum data value in the emission region.

Option 3)

Noise is added as in 2) but based on the

maximum data value in the absorption region.

Option 4)

Here noise is added that is proportional

to noiseless data value.

Option 14)

Noise is added to the major profile

proportional to the square root of the noiseless data

value.

Option 24)

Noise is added to the major profile pro­

portional to some user specified power of the data.

While subroutine Smooth is not the next subroutine

in order after noise it is useful to discuss it at this

time.

It provides the smoothing of the noisy data.

It

uses a 3 point or triangular smoothing function with the

smoothed data appearing in the major profile and the secon­

dary profile containing the unsmoothed data.

It has only

2 options.

Option 1)

Smoothing does not occur across the

emission/absorption•

Option 2)

This option ignores the emission absorp­

tion boundry, and smoothes across the boundary if the

boundary is included in the smoothed region.

The subroutine Abel is complimentary to the subrou­

tine Forward.

It performs the lateral intensity profile

inversion to a radial emission profile.

It has 4 options

these have their calculated data outputted to profile 6

unless option 2 is chosen.

Then the output file is

profile 7 unless the user changes it to profile 6.

For

options 1 and 3 a back light intensity profile is con­

structed.

This is done only if the backlight profile wasn't

constructed in Construe.

Option 1) A complete lateral intensity to Radial

emission inversion is performed obeying the user specified

emission/absorption boundary.

Option 2) A lateral intensity to Radial emission

profile inversion is performed on a purely emitting profile.

Option 3)

A full inversion is performed.

Inversion

of a purely absorbing profile is assumed.

Option 4)

The lateral emission intensity profile

is taken as the major profile and the secondary profile is

the absorption profile.

A complete lateral to radial inver­

sion is performed on the emission data.

For the printing and plotting of the simulated data,

an output routine is included in the program.

This output

routine calls a special plotting program named Incplot.

Incplot was developed by Scheeline and Hardas (9) in order

to adapt a plotting package for the simulation.

This pack­

age allows for terminal or hard copy data printing and

I

plotting.

The output routine has only 2 options.

Option 1)

This option puts hte output into a plot

mode.

The profile can then be plotted.

Option 10)

Here the profile data are listed

along with the log of that data.

The next subroutine, Shift, is extremely versatile.

Here the profile can be shifted in the plane perpendicular

to the optical axis.

Phenomena due to instrument

misalignment and/or spark wander can be modeled.

It

calls its own utility subroutine, Shifter, to input data

after certain calculations in Shift are completed.

It has

9 options 1-6 and 11-13.

Options 11-13 are the same as

options 1-3 except when shifting occurs reflection and

filling in of the profile does not occur. Output is always

to the major profile specified.

Option 1)

The major profile is shifted by the

user specified number of zones.

The emission-absorption

boundary is respected (it is not shifted) in the calcula-i

tions.

Reflection and back filling of the shifted profile

does occur.

Option 2)

This option is identical to 1) except

the emission-absorption boundary is not fixed arid is

shifted also.

Option 3)

Here the profile is shifted but the

emission-absorption boundary is ignored.

13

Option 4)

This option unshifts the profile cur­

rently in the major profile*

Option 5)

This is extremely useful, when in the

subroutine Shift or in the program in general, reinitiali­

zation of the user variables is desired without leaving

the program.

Option 6)

When only the emission-absorption boun­

dary value is desired to be changed this option comes in

handy.

For shift where many calculations depend on the

boundary this can be a real time sever.

Shift is used by the next subroutine Wander. This

subroutine models the effect of spaxk wander, in the plane

perpendicular to the optical axis. Wandsr uses Shift to

determine the lateral intensities after a

shift (wander) of

the spark.

The subroutine Wander adds the intensities

accumulated over a specified number of sparks and determines

an average over these sparks.

Output is to the major pro­

file specified and pre-wander data is stored in profile 13.

The two options possible in Wander determine what kind of

distribution the sparks will have up to the maximum zonal

channel wander.

Option 1)

Spark wanders randomly.

The number of

sparks fired is user specified along with the maximum

zonal channel wander.

15

Option 2)

Spark wanders as a function of

(— ),

x2

where x is the number of zones from the stable spark

position, up to the maximum zonal channel wander. The

distribution will be peaked.

The maximum zonal channel

wander will determine how many sparks are fired,

III.

Results and Discussion

This section covers specifically program idiosyn­

crasies, bugs, and additions. Macy problems in the program

were inherent in the previous programming or developed by

the author.

The former being the idiosyncrasies, the latter

begs,

the first of these is in subroutine Construe.

Options 27, 28, 33 and 34 clear the major profile {as

specified by adding 20 to options 7, 3, 13 and 14) before

attempting any calculations.

These options multiply the

contents of the major profile by a number and if the con­

tents of the profile are cleared first the product will

always be zero.

So these options are basically non-

applicable.

Subroutine 9, Autocycle, was not completed by

Scheeline prior to updating.

This subroutine should there­

fore be avoided.

If Scheeline*s Ph.D. thesis is consulted

for further information, it should be kept in mind that

his plotting program was different than Incplot.

It will

have some non-applicable options as seen in his sample run.

Do not try to run the subroutine Abel without data in the

major profile otherwise the program will crash.

The final updated and revised version is not in

100% working condition. As of this writing there are

several problems.

After extensive program examination

certain bugs due arise.

Following Dr. Scheeline's scruti-

nization of the program additional bugs might be found.

The first bug occurs when a default value is changed (by

specifying a -2 input).

The program only checks once for

erroneous answers.

This author's advise is to be sure of

the default number that is changed to.

After extensive runs, calculations, and data exami­

nation, three options of approximately 60 seem to be

troubled.

In subroutine Foward, option 13 seems to be

taking into account the emission/absorption boundary and

not inverting in the emission region.

This can cause a

problem in subroutine Abel if the reverse inversion is

desired.

Protection flags will prevent the inversion due

to zeros in the lateral intensity profile.

In subroutine

Shift options 1 and 11 shift correctly but fail to reflect

and back fill.

This is probably traced back to variables

N1-N5 in Shift.

As previously mentioned Scheeline has derived a

mathematical treatment for concommitant emission/absorption.

The subroutine for this treatment should contain 1) calcu­

lation of all the absorption terms, 2) a method for deter­

mining which light from which rings can be ignored due to

abroption. With the large matrix inverse that is desired,

17

a trick that determines inverses (less tolerable to

noise) for upper and lower diagnalized matrices should

be employed.

Finally, the subroutine should fit easily

into the "pinwheel" of the program structure.

IV.

Conclusion

The author recommends when running that Dr. Scheel-

ine's Ph.D. thesis (if possible) should be used in con­

junction with this paper and a program listing.

This is

particularly important for beginning users.

Dr. Scheeline

documented the program very well and this can be seen in

his program listing.

However, thia documentation is at the

beginning of the program.

The revised and updated version

has more documentation in the actual program. For extensive

detail and explanation Dr. Scheeline'a Ph.D. thesis or some

of the references cover most of all the desired information

possible. Also, before attempting a program run the user

should have a general idea of what calculations, functions,

and constructions are desired and needed.

While the necessity for an update and revision seems

to connote an outmoded and useless program, this particular

program has not seen its full capability. When extensive

data is compiled and run the great power of this program

will be realized. When the comparison of simulated and

experimental data is arrived at this program might go far

in answering those age-old questions of "why?" and "how?".

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18

BIBLIOGRAPHY

(1)

Alexander Scheeline and J. P. Walters, in Contem­

porary Topics in Analytical and Clinical Chemis"try,

Voi. 4, Chapter 8.

Edited by David M. Hercules,

Gary M. Hieftje, Lloyd R. Snyder, and Merle A. Ever­

son.

(Plenum Pub. Corp., New York. (1981).

(2)

Alexander Scheeline, Ph.D. Thesis, >'niversity of

Wisconsin, Madison (1978).

(3)

Baker, Abel*s Theorem and the Applied Theory.

Cambridge University Press, (IS*/), pp. ££5-250.

(4)

Scheeline and Walters.

Contemporary Topics in Analy­

tical and Clinical Chemistry, p.

(5)

A. Scheeline and J. P. Walters, Anal. Chim. Acta,

Section on Computation and Optimization Techniques,

V. (95) , 59, (1977) .

(6) Scheeline and Walters, Contemporary Topics in

Analytical and Clinical~Chemlstry,

pp. 340-351.

(7)

Scheeline and Walters, Contemporary Topics in

Analytical and Clinical Chemistry, p. 29<>.

(8)

Alexander Scheeline, Ph.D. Thesis, University of

Wisconsin, Madison (1978) .

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TMtM M I N T “CAN'T UtC AG80RPT 1 ON REGION T H E M ISN'T ANV. “

ELSE 2170 2 ISO M I N T OTO I M O

jjsrfii :li

,F $8,**

THEN M I N T

<»so

I)

!

M? MtSSOikl

[

®« ZONE HUNGER MNCOHNANO! I >, ' IS ILLEGAL . TRY AGAIN ' ... . * f c i * , i } s i , s s m , ioNK . CONGINAT ION. '

FOSITlONaO OR t*G THEN 22SO ?*JNC0NRAw8 ( f ) *0

r v 4~

NANESS1KS);'

Kf)i:UIWL St'

INI, 2)

•220

.WolFMWatftiP-

*m,Ht

ib

§ v S i u m f i s r s k

1410 FOR I I I TO S 1420 FLAGS!I» a 0 NEXT I

'wr ; y ? M

,o

. POATA!I, J> a 0 NEXT J I

iyT0#Ti6N?I» a PROF INFO!1,1) a PROF INFO!1,2) « 0

iZli<a 0 TgEN GOTO 28G0

THE LAST ENlSSION RING', FLAGS!1)>

| 1

|

J K p A . i t . .

PROTECTION FLAG ON. ' OR STCONTROLS!11 a '-2' OR STCONTROLS!1) a '0 AUT0*AT,CALLY CONSTRUCTED'

■

,

a JV M ' °* 0TCONTROLGU> ■ 'V' OR STCONTROLS! I)a ‘0

tlON

U >0

°*

FOG!ANSWERS, CHARACTER, 1) >0

0CCVALUEO4J ANO DECVALUE048

L W m * S,CHARACTS, I ) < l)a VAL!ANSWERS)

R M I iUtBsRS* CHARACTS, D M

f r l! ^a’ vA C fW S N T R K S ff> | 0,CVA1*Ui “ “ N! ANSWERS! 1010 RETURN

1,1 ‘ J ® ‘M |

W h

'*

* i ma

RK

i

UKN

3 * 70 1F Klai 0* K3* f , TMSN FLAGS'X)al SUGROUTINS *;NANI8S<N3 ); ' 3180 3180

>1

MWli:!

,r ¥HS#.r

Kt > 4

■8

s a-ri:1:*!-'

’ f t U r

„ „

ills "fTS Pi8 SAU,,UM

!S MB * u » u i{i2n i conitdoctio h i m 12 Paint * gausssan half wToth at hai

l w

!°or ring

lit

140

HALF HSIOHT

iSiuT 08^ T Ka

VAaTA?K3T? ) K? PDATAOO ! ) ♦ • ! « (XP< • SS31473 • <(l - 0 3 ) / 0 8 )« « f)

m i

OAL PROF ILK

OR RING IN WHICH KLLIPSC FALLS TO IIRO

iTA<K3 , I ) ♦ St • StR ttS)

f

e

w

,

W jis!,

RtARil.'G-F

PROFILS CONSTRUCTION PDATA'KS, I) ♦ SI

l i f e

INTSRTWINKO. OR KS a S OR KS « S OR KS a 10

K4al ° ALUI#' ' * ° NCAMt ' ALL F0 8 8 IGLS VALUIS. '

•_IRT1.. * i CIOfB T0 #. JMFOttKS+4 ); ' MNP0S<S+K4 )j ' ' OROINATSG'KS), PROFILSGC1, K3 ) ; ' PROFILS.

I ON 'A FCW 20NCS

MSN PDATA'KS,Ok) a PO AT A 0 0 , 0 1 ) ♦ St

Rf8 T8p?f$N« 10 THCSK OPKRATC ON ALL RINGS OR ZONffl

(ini t o * " •

SSBO

ms

IF VALUIS, I PCR LINS OR RING •, I ; ' VALUfe',

M

t

r «

>>i

M i n t ' d " *

POATAlS|f?Ta vIlTt«>

1 ffiisftWSV1

* WATA(®»,)

JHjN *pAI J (5V >«FDATA<K1 , I)«POATA'S, I )

•NGN p o a

3S10 3380

>ATA'K3 , I) a FDATAOO, l > ♦ PDATA'G.t) ^OBSJRSB CONSTRUCT PROFILS 8 USING PROFILS I AMO t*S OATA

Hil’jl.o

WiTM^Pi

! l .

■'fig

SSCT10N ^ 4|4aI I , ? I a POATAU, I ) i r 78i 8°M I[JT^'IN RSTURNING*

POATA'8, 1)

HI!

j t f o R B jJBtl RATION f 0 * W tO ttt 11- 14131- 3 4 )

4390 4400

till

4430 4440

m

44T0 4400 4490 4900

EIHRiMS j

?t8,0N

lf

« s

TM* i f

i8 k l* « f * i fiR.8k.TINH « * 0 9 m

K

t

SK IWKVUl,*

i f ? t f S " s r i j K TS # r S>4 ANO RLTKNNSOlt ANO NLTfNRO OIJ

u h rtBViVtt'rS**

*u,"0UT"'t

'

It ANO 13 CNIBttON/AOiONATION 90UN0AV It IONONCD

**

w t pmv,ou,lv’

„

=-J iu J iM H iw * w w

l,SS6°?Ji0ScSViT'',*T '°'W

‘*D

•

" w i t u y C T f a u /

M | T I L t i f NOT 00NK IN C0N1TNUC RON OATiONf I ANO

S

a

T

a

I4*?>!

i

00

iNAB « 3 NLTfNAt ■ NLTtNAl

" S f t w h

1 StfB^ AJfriOS

« f « W U *• ” “ rOATAlt, 11 ♦ ANKAU, J) * ^clfTATl, 11 * AOATAO, |) • « « |iZK««t

CONVKNttON

AOATAINLTtNAO,J1

NkTINAt ON NLTCNNO ■ «

IF jCS»ffl-TIINt

®i 1TTANCK C0NVKN010N OAT I ON 3

N|NX ‘••I* “ ™ tA(1(|» ♦ ANCAI f

,

31 41 t’OAT A 4 NLTKNA7,

J

) i , n " • I0#*(-A0ATA43, HBlIZKBi)

IF IkltNA* a 3

*0 0 I • K t B 9 l TO M.TCIWI

H v W A f t I T I AOATA4NLTCNA7

t,*n

NITCMAO,!> ■ AOATAINLTKNAO,II a 1 0 » » (-0 tt i i(S K )

.*W!u«s r n y i r * 1

T#

MIOSION/AiOORNTION

WMdMTMWWr*

••

m

m

TSioilcJ?fco'w,Pr,Li,<,',,l,Tf,#i,i*

MOf,Li'

J :

si i apir™ *1'

_{IF K8 <>1 AMO M O O 10 AMO MOOll}

th

,

n

niff :

_AtTUAN

khh

<a,hW**awr-,N ,u,*ouT,Nt

■ ■

IF MO < 10

THIN l i a s

;

4

°

'FROFILE ', M3, * THK ', PROFILE*(1, M3»; ' FAOFIlf IS PRINTED 0KL0M

’ 0 0 W W W • '

I* 'tNOCX', 0 001 MATEO (M3), 'LOO ADATAll.J)'

itfc31

VA

i<f»OATAOO, I >))

frlSx:; i; PtS?2<83;IJ;

0T(MO, F0ATA(,>, It, 00, MFLOTl,), FMOFI Ltt <, ), Ml, M f, 08X1

141

vf.

•

|0 ';Mlj

*

TO *;Mt; ' ARK AFF1CTK0. ' s PDATA<K3,1)

/TON IN MOIIt ROUTINK

nB‘oSHfSE liSoiw.imfoN0'

ON MMAT POMCR Of THK DATA 00K0 NOIOK OKfKNO

tain v v a i swu ifsuLTim^T..

ELSE

[N*Pof8? 'WITH MAXIMUM SIGNAL TG NOISE RA TIO ';

mt

■r*

W 1 u

C U N

li.MAX^OATA INPUT VALUf 0P PROPILE

< ls ,L X )>

NT

•a I

•000

•oio

IF ?ScS ll

s| IP0ATAIM3, |>>««Nlft(RNO * 0 9)

;IN AOSOUUTC UNITS WHAT IS PCAM-TO-PEAK NO ISC VALUE',

IP «^« «

xi

p

H

i« Ml

•020 •030

POINT 'NOI SI OASCO ON MAXIMUM (MISSION SCOION OATA VALUI '

H.N M «

IP Ml a P H V f f #A#t0 °N ABSORPTION REGION OAT A VALUE '

•040

«p i f ! i °0R a . x

THe" & i BISfiiii!

!BW ;WMA?

1

«p Ki.4 1 8 #/T

THEN Nlal

poo i . i vh9n*

SIGNAL 10 NO I SC RATIO AT HIGHCST OATA VALUE',

Ll f P* TO Kt

£0ATA<M3,I I a P0ATACM3,I> ♦ T # (RND - 0 8)

■fCN /p iaJTi So K

9

>ia

silJll' •i«?5i8N

A|

i6K?il;1

,w #UM0

Ip !Sn W *|S

PINGS 00 ZONES ';KI; '

SUBROUTINE NAMCSS(KS); ' '

TO ';KS; ' ARC APPCCTCO

ms

ip | f % *

MANY

K

z U t

00 YOU WISH TO SHIPT THE PROPlLC',

iW L -

_{'RETURN AND TRY AGAIN '}

m

•3S0

NEXT I

RETURN AND TRY AGAIN MS a VALUI

IP KSOItlflKf)

-INTEGER SHIFTS ARE ILLEGAL TRY AGAIN 00

THEN PPlgT ‘NON-IN

ip * • < -il $ f 8 > U

-try a g a i n ..

fpigjpff1 Mh it v fr s 'm r w m :

IP i f ! Si48TXBNa ?|rLKCT,0W OR SACKPILLING WILL OCCUR

IF

iore/%1 If,rTf0 AL,°

i f f t s i / S s bS M 1 Snor ed f t R T T H tflir.io MSVC) M H

BUHB.

ANO 13

T k » i mu.. •

_{IP Ml < T}

KG

••SO

••SO

IP IP .... » MS « Ml ♦ :L“ 'S i U i 'S i . so

I

TO 0700

• 770

#t#0

7000 7010

I AND 11

m ^ ? ?KiI* ,,#,0N"*#,0**TI0* iog#eBV r x * t o Awe employed

4 « Ki

* Ml

* Ml . * 1

_J*UB >480

IF 41 <s M| TMfN if Mi <« 10 AMO 48 >* 0 THEN MB « Kl ♦ 48 ♦ 1 Ml * 2 IF Nf>42 THIN 48*42 IF N§>M} THEM Mfl«Ml Ml * MtIF 4t<W8 THEM •»: Nl <41 THEN N 1 =K 1 *4f *4i Nisi N4*N1

fF*a=7450

tr ^

m e v s h THEM N2s| MB s K 1 ♦ 4i

twm BfttFTINO

M3 7MBN Ml & m

it» s PMkTA«* TO?.)

F«t§Vfi

r sr>y

NEITT It *•>« TH»t MISMB

l€ *A<*iJ m * mmi

]<£ IMir

mi

* « ♦ « ♦ »

>8. tipi «2 s pyttpt l > ♦ mb -1 tjMt* « M f <0 T * » M 2=K2

* m tm m

FA<4, U U * |«0

-^j^PMSMUiMT FWBF14.E, MUMMt 4 , MAS M E M W m ^ m

ILC

(

S)

ana

THEM 47 s

ro*gW**L%r*t

MOJTAIMi,

xt>

s F0ATAI47, XK

>

pfir^rtc'oSAu^fB!

'"0FILE

*»•! M I K40K1 7 *B0

^8|?]3fl2dTitbiziyHlST’

s

;:

sti2l“ ’

H1TUHN

0

(1) ft so

T,“ ^ s w i m ' s ? wirj,is*T '

,,LL|,

in

™

e

°*t*

•OUMOAAV FIXED b n

J

tOATA(X7,0Z1)

ILE 8HIFT IMO <E-A> BOUNDARY

78S0 7880 7}§0 7ttO >0

soio

ARY to ’^SSPCCTING IF K8<=0 OK THCN Mil K9>4 7820

M

int 'o p t i o n 'ks

'is

il l e g a l »n s u b r o u t i n e ',n a h c s8< M I N T 'RETURN a&d Vkv a g a i n ' RETURN

5)

K§>, ' IF FLAGS O ) s 0

THCN If K9 : t 0 R K 8 : 3 * CONSTRUCT SACKLIGHT IF NOT ALRC THCN PRINT 'DEFAULT SACKLIGHT PROFILE WILL BE CONSTRUCTED

FOR®?!3*

Mo

SO

POATA(Kf,FXJ * 100

a XT

<Kf> ' RINGS OR ZONES ',K*. ' TO ',K M I N T TO RAOIXl INVERSION WILL OE PE*FORH€D ' P§|RT 'lKI; 'a. THE \ M O F I Lf} {1, K 3»: ' PROFILE '

IF S « U||* AN ,W*UT LA**"AL INTENSITY PROF

THEN PRINT ^PROFILE ',K4, ' IS THE BACKLIGHT INTENSITY PROFILE '

„ „ , 1 % ’dlN :H5ff,a.2S.*IW o i ,i?rf,M fiKik5*A‘ *MU"“

IF KS *2

THEN K7 *7

AOV DONE SO IN CONSTRUC

K2, ' ARE AFFECTED

ILE ’

k

;

s

! :«,iaysssi « t K.wsg'Rgriu

PRINT 'OUTPUT WILL BE TO PROF ILE 7 UNLESS --- IT

'I

IN RCSPONCC

---IT PRO

THEN K7 st

____ _____ _____ YOU INPUT THE NUHERAL ' PRINT 'f IN RCSPONCf TO NEXT QUESTION HARK

INPUT PRf IF KS = 4^ M *

THCN SCRATCHVAR : K] K3 s K4

K4 s SCRATCHYAR

PRINT 'PROFILE ',K3, THE ',PROFILE8C1,K3), ' PROFILE' SCRATCHYAR * K3

K3 : K4

K4 s SCRATCHVAR

IS THE ASSUHEO RADIAL ABSORPTION 0!STRIBUT!ON PRINT

KG * 4 PRINT 'THE PR NT 'AT TC - - PRINT 'AND RJH C^EAR QUT STORAGE

HAVE BEEN'

- OUT _ _ P * Kl TO K2

:

t

“ •a ;?u^^ols.T?>5M,r,L, NU",t" ''K7

THEN tF FLAGS(4100 ANO FLAGf<S)0| THEN PRINT 'FLAGS

01*----SI

URN *15 !5XW T A|*ORP?fON REGION

I

f IRS *2 OR N1»S0 OR KBs m w r L m t a i w j ,, IKS *2 OR Hl*8< IF kB«1 OR K1>*nI FOR

Igfi

QX s KB TO Kl

It

:¥"

FOR NX s MX t{ OR KBS4 OR K2<SN1) ANO KS<>3 THCN B100 3 MX IF P0ATA1

Si.

1 M r

■■

|LSC !SaV5?K7, U7.) a P0ATA<K7,UX> ♦ INVERSE<UX, NX > t LOOIOIPOATAIKS, NX) / PDI

i

N84

n

|L1C

rA<K7,UX) S PDATACK7.UX) • EFFECTS

j?JU

TENSITY DATA TO PDATAUS, J»

’t i l W

Wf iX --- ' POATAUB,YX> ♦ AREA! YX.BX) * PDATAIK9 , BX) TaTiB.YXI * PDATA<K3, YX> • iORIHPOATAMfi, YX) • SUE)

POATAIKJ.NXn

•••0

If

18 •710 ••20

II?

!18

•0*0 THf _ \PR

IOp iLI W T FIRfT SAVE UNSHOOTMEO PROFILE II SECONDARY \ Kl i M \ M i fCRATCHVAR

iii'i

N*XT «* I M , , X ’ * '‘’•T*"'1-**1

K| : K2 • K1

IF K| : 0 --- PI TWIN ••10

ir

ki

*

n THEN I

||Nr^ONC POINT ONLY NO NET SMOOTHING EFFECT

mrm

NO s 1 ••20 IF N O O l

fSen print print

THEN PgATAH<3^M2) = IPOATAIK4,M2> ♦ POATAIX4, M2^l>> t

’&PJ?Sn°c h o?c?M T , O N ,o u n o a*v m i n g IGNORED DUE TO'.

ISO 8680 ••70

POATAIK3, Kl ) s ?P0AfA<K4(Kl> ♦ P0ATAIK4.*!♦!

NX a Kl * 1

)> / 2

IF K| t I AND N1>K1 THEN ME a N1 - 1 IF nr * 2 THEN MS s K2 ~ 1 IF N r * 1 THEN IF Ml>Nf OR Ml<K1 - THEN NS * M2 - 1 IF N l O N f

THEN FOR AX*Kl TO NO «.«*•**.,*

P0ATAIK3,AX>»IP0ATAIK4, AX-l) ♦ 2 * POATAiN4,AX>♦PDATAIKA,AXtI)>/4 NEXT AX

P0ATA<N3tN«41» = IPDATAIK4, KSI ♦ PDATA1K4,X**1)>/2 St <KI+ S}S*1 THEN RETURN

IF (N|4n>N2

THEN PRINT 'INOEX ERROR IN SMOOTHING ROUTINE ' P f N T 'CH|CN LAST DATA PO|NT| MANUALLY '

* N2M

It-1

PRINT 'RETURN AND TRY AG* RETURN

- * W

i

t

_{F NI}**>*3 snS _

DATAIX}.M2) = (P6ATA(X4,M2) ♦ PDATAIK4,XI) ) /2 GOTO M O O \t * w r

si : Hisg;gi:ii

f! I

NS s ROUTOPTIONlkt) IF K8<> 1 AND K8<>2 t ,

THEN PRINT 'OPTION ,KS. IS ILlIGALIN SUOROUTINE ',NANESSIXS>,' PRINT 'RETURN AM) tRT AGAIN '

RETURN

IF NS * 2

THEN PRINT 'HA! ELSE IF K3*K4 THEN ' }ER WU

K3*r

ELSE

flfflfWSJIPMHn.'mSt:.

!?

w u r a ,M

k

T AX tHUH ZoSaL IhANNCL HANOI*■, F H > S o OR ASSUNTIP2) )<>P2 THEN 0S3O

WANT PRJNT ’WHAT IS MAXIMUM 2

f ini

Th e n p r i n t 's t a s l e s p a r k r o u t i n e a b a n d o n e d RETURN

& 0 V M . 0

.HR

***1

P E W ’*

TO K3 T ENPXUO . X ? 0*’

II

l i,°

K| * K4 Ki i ) K? * 13 IF PS * 1

THEN P3 * INT(2 « P2 • IRNO- 9) ♦

P4 * P4 ♦ l

SI

IF PS * | THEN P3 * P3 ♦ 1 PS * INTllPS/P3)R«2) PA * P4 ♦ 2 • Pi *Kl TO Kf A(K4,I3X) a PS * PDATAIPS,I3X)

mTtin

T 28«YSc-»°o*4*cf ^ ?!chh1f a*x

---NEXT 14$ lf*?8_* 2 ANO K«>0 THEN FftR CX * Kl

FT TO DUE SHIFTING OF PROFILES OUE TO WANDER * PARK

I4XT * POATAI17,14X1 ♦ P0ATAIK4,I4X) 0 !

••Kl

JUST TAKE AVERAGE ZONAL INTENSITY OVER THE

pSa t a i Ml, AT CX ELSE IF M

TO K2

,CX) * POATAI17, CX) / P4

5818 88

S f J2ki to n s

l!!JfoSl4<»T,GXl * POATAI 17, GX) ♦ POATAIP«,GX) • iPf^l )••• K * * 83 ♦ IPS ♦ !)•••

FOR^HX_* Kl fo.K* _

iicruiiN ' •••

AUTOCYCLI ROUT INC FOR LATCRAl TO RAOIAL COVCROiON

Hr

S

k

!

I g j l

j s f

tHtN Si! t i K ™ r,Lt#

can thavc

™ e ****

mamc

M , !l.%6,g!:viufs.si^j*iil“ !:*F«hi?iow ii^iiffvf,FM5cD

p i

.MU'

I liluf H I1POINT

i to no

«,ZX> a PROF ILE I N< Z't,) « s ,

tHtN ,FT & f e fM a ,

IX =

I TO 90

POATA<

i l l ALL OPTIONS i f • r P0ATA <4,1%) a too NEXT IX

m

K4 9 4 VX M COUNTER*, ' • * 0 ' 00 the inversion TO SO INIVX > a P0ATACXT,yxl

-R*Wti-T# B0

NEXT

PENINC ERROR TRAP

t h e n ir ctt*t

i ,

"

NO SPEC i n t o PILE TRV ASA IN

\ C L O iis s x

m

m in r c n s ;

I N i TO CWII lO EXECUTION NAV

(it

c x n n i d E*fcuw

*•0 IF ICO

i

ETU

k

3l8L:: ur'“

I H U c

ERROR IN INPUT PILE ^AUTOCVCLE CONPLETCD "

A TOTAL OP",C0UNT1RX,"PROPILCS

SOT<

W fOCV|L|r -PETURN I3X

i

Usemaeet QIERTYCH

F’niiwordi

Wei rose to VAX/VMS versirn VI. 4

l JUN 1904 02133151*46

If anyone it interested in a used Tektrom;; 4O0* 1. t- I**a ,e 1 unfart l/.O.rh

ludmston at .1 396? or send VAX MAIl to SATEH.

f b e P r i f i t r o n i K i » n i i t # t / f > l o t W r Im*. rer *1 r e d .

Directory SYS4USER: 11.10*0111

ABEL DAT A. DA r 11 ABFLRV. BAS i0r» AKt l RV . KA*.; \ ABriRV.IVISl

ABC! RV.OBJf l EDTINI.EDni INI.Pt U I . (U< j SI ! (JliIN.Pin; 1

SAVED. BASH TCRMlNATC.OB.JI 1

Total of 10 files.

User E330.0111 ha« 1027 hlm:("i used. 973 ivaiUM*.

Of 2000 authorized and permitted overdraft of I00C blm>s on SYS4USCR

• LINK ABELRV.BSBNOBJI1. INCPL.0T *0BJI l»TERMINATE.0B U 1

• BUN ABELRV.EXE12

BATCH OB TIMESHARE RUN I INPUT ‘BATCH* OR TIME* OR JOB ABORTS

RUN TYPE. JOB ABANDON. • BUN ABELRV.EXE12

BATCH OR TIMESHARE RUNI INPUi ‘BATCH* OR * TIME * OR JOB ABORTS ? BATCH

BATCH RUN ACTIVE.

BUN IDENTIFIER INPUT? DEMORUN ON BATCH MODE DO YOU WISH TO RANDOMIZEI * I * OR *YES* OR *Y*

IS AFFIRMATIVE. ALL OTHER RESPONSES ARE NEGATIVE.? 2 HOW MANY RANDOM NUMBERS DO YOU WANT TO SKIP? 2 WHAT IS THE SPATIAL ZONE WIDTH IN MICRONS? SO WHAT IS THE LAST EMISSION RING? 25

SHOULD THE TRAN8MITTANCE PROFILE PROTECTION FLAG

BE ON— . RECOMMENDED THAT IT BE ON.

ENTER *0N* OR *OFF‘ YOUR CHOICE? ON

SHOULD PROFILE 0 BE AUTOMATICALLY CONSTRUCTED? YES

? 1.0.0.0.0.0.

IN SUBROUTINE CONSTRUC OPTION 4 WILL BE

PERFORMED ON RINGS OR ZONES 1 TO SO

PROFILE NUMBERS" 1 11

YOU ARE CONSTRUCTING AN HOMOGENEOUS U.C. RADIAL EMISSION PROFILE

WHICH WILL BE ADDED TO THE CURRENT CONTENTS OF THAT PROFILE. MAXIMUM RELATIVE EMISSION VALUE IS"? 400

T 0.0.0.0*0.0

free line 1210

froe line 5500

froe line 2100

TERMINATE OR CONTINUE? TERMINATE XBA8-I-8T0. Sloe -BAS-1-FROL INSUB. -BAS-1-FROLINGSB» -BAS-1-FROL INMOD.

•

XRA8-FMCHMANVI0, -BAS-I U8EPC-PSL. -BAS-I-FROLINSUB. -BAS -1-FROLIMQSR» BASI-FROLINMOD. -SYSTEM-F-ACCVIO *

XTRACE F-TRACEBACK. svebolir stark

•odule naee routine naee

in suberodrais TERNINATE

in OOSUB 5500 in eodule ABELRM in module ABELRV

Memory mansdement violation

at user PC*OOOOFrA4» PSL»03C00004 froe line 1210 ir. suberodram TERMINATE

from line 5500 tr. nOSUB 5500 in module ABELRV from line 2100 in eodule ABELRV

access violation, reason mask*00. virtual address*00000000» PC"OOO16909* dumr follows

line rel PC abs PC

TERMINATE TERMINATE

atSffiS

ffiSSSi!

1210 00016989 00000014 B0000014 00000014 00000116 00016989 00000014 00000014 00000014 0000DB6E 5900 00004A6E OOOO026C MMAiall AAAAarsi PSL-03COOOOO

r I

IMS

00 YOU WISH TO RANDOMIZE! *1* OR 'YE** OR *Y*

It AFFIRMATIVE* ALL OTHER RESPONSES ARE NEGATIVE*? N HON MANY RANDOM NUMBERS DO YOU NANT TO SNIP? 3 NMAT IS THE SPATIAL ZONE NIDTM IN MICRONS? 50 MHAT IS THE LAST EMISSION RING? 25

SHOULD THE TRANSMITTANCE PROFILE PROTECTION FLAG DC ON— * RECOMMENDED THAT IT DE ON.

ENTER •ON* OR •OFF* YOUR CHOICE? ON

SHOULD PROFILE 8 BE AUTOMATICALLY CONSTRUCTED? Y

SUBROUTINE NUMBER*? 1

WHICH OPTION? I

MAJOR PROFILE INVOLVED*? 1

SECONDARY PROFILE INVOLVED*? 0

FIRST ZONE OR RING NUMBER*? 0

IN SUBROUTINE CONSTRUC OPTION I MILL BE

PERFORMED CM! RINGS OR ZONES 1 TO 50

PROFILE NUMBERS- l U

VOW ARE CONSTRUCTING AN ON-AXIS GAUSSIAN U.C. RADIAL EMISSION PROr11 r

WHICH WILL BE ADDED TO THE CURRENT CONTENTS OF THAT PROriir.

MAXIMUM RELATIVE EMISSION VALUE IS*? 100

GAUSSIAN HALF WIDTH AT HALF HEIGHT? 5

SUBROUTINE NUMBER*? 6

WHICH OPTION? 10

MAJOR PROFILE INVOLVED-? 1

SECONDARY PROFILE INVOLVED*? 0

FIRST ZONE OR RING NUMBER-? 1

LAST (OUTER) ZONE OR RING NUMBER? 50

IN SUBROUTINE PRINT-PI GT OPTION tO UIl t BE PERFORMED ON RINGS OR ZONES t TO 50

PROFILE NUMBERS* l t

HOME?

PROFILE 1 * I HE U.C. RADIAL EMISSION f'RUF II E IS PRINTED BELOW*

INDEX RELATIVE EMISSION VALUE LOG PDATA

1 97.2655 1.98796 89.5023 1.95104 3 _{77.9165 1.89163} 4 64.1713 _1.00734 5 50 _1.69897 A 36.8567 _1.56652 ? _{23.7028 t,40998} 0 16.9576 _1.72936 9 10.5843 _1*02466 10 6.25 _.79580 11 3.49152 _.343015 1 2 1.8453 .766067 13 .927651 .349627E• 14 .43644 _.360075 15 .195313 .70927 16 .08269 _1.00755 17 .331202E -01 1.47991 18 .125502E 01 !.90135 19 .44991 IE 02 7.34607 20 .152580C "7 _7.01648 21 .48950VE 3 3 31017 22 . 148614E 3 _3-02794 23 . 426 781 f '4 4 76979 24 .115951: 0 4 _{4 77573} 23 .29802JE05 -5.32575 26 .724684E-06 _6.13985 27 .16671IE-06 _6.77804 28 »362026E 07 7.4403 29 * 747053E 08 8.12665 30 .14SS19E 08 8.83/08 31 .268 USE 09 V.5715V 32 .467332E 10 10.3307 J3 .77t143E - 1 1 11.1179 34 .120329E 11 _1t.9196 33 .177636E 12 12.7505 36 .2480871 13 _13.6054 37 _{•32779E 14 14.4844} 38 _{•409742E-15 15.3875} 19 .48453E-16 16.3147 40 •542101E-17 t 7.2659 41 _{.573782E-18 18.2413} 42 _{.374341E-19 *19.2407} 43 .344276E-20 _-*20.2642 44 _{.487794E-21 21.3118} 43 * 413388C-22 -22*3834 46 .331738E-23 -23.4792 47 _{.2S1763E-24 -24.399} 48 _{.18073E-23 -25.7429} 49 . 122765E-26 26.9109 SO _{•788859E-28 20.103} SUBROUTINE NUHIER-? A WHICH OPTION?

i

MAJOR PROFILE INVOLVED-? I SECONDARY PROFILE INVOLVED-? 0 FIRST ZONE OR RING NUMBER-? I LAST (OUTER) ZONE OR RING NUMBER? 25

DO YOU WANT TO SET SCALES? ENTER ‘YES* OR •NO*.? Y

ENTER DESIRED NIN. OR HAX.

ENTER -2 TO LEAVE DEFAtJI T ALONE. U.C. RADIAL EHISBION MIN? 0.0

U.C. RADIAL EMISSION MAX? 100.0

INPUT TITLE

? U.C. RADIAL EMISSION PROFILE

IF SATISFIED* ENTER 'YES' OR 'Y'» OTHERWISE 'NO' OR 'N'? Y

U.C. RADIAL EMISSION PROFILE

1 * 2 * 3 * 4 * 5 * 4 4 7 * 8 * f • 10 « it * i 12 * A 13 * A 14 *A 13 *A 14 •A 17 •A IS •A If •A 20 *A 21 •A 22 *A 23 *A 24 •A 25 4A SCALES!

U.C. RADIAL EMISSION A MIN- 0 HAX- 100

WOULD YOU LIKE A COPY OF THIS PLOT IN YOUR OUTPUT FILE? H WOULD YOU LIKE TO CHANOE SCALES? H

SUBROUTINE HUMBER-? 1 WHICH OPTION? 2

MAJOR PROFILE INVOLVED-? 2 SECONDARY PROFILE INVOLVED-? 0 FIRST ZONE OR RING NUMBER-? I

LAST (OUTER) ZONE OR RING NUMBER? 50

IN SUBROUTINE C0N8TRUC OPTIC!* 2 HILL BE PERFORMED ON RINGS OR ZONES I TO 50

PROFILE NUMBERS- 2 11

YOU ARE CONSTRUCTING AN OFF-AXIS GAUSSIAN U.C. RADIAL ABSORPTION PROFILE WHICH WILL BE ADDED TO THE CURRENT CONTENTS OF THAT PROFILE.

MAXIMUM EPSILON*COMCEMTRATION IS-? 10 OAUSSIAN CENTERED IN ZONE OR RING? 15 GAUSSIAN HALF WIDTH AT HALF HEIGHT? S

SUBROUTINE NUMBER-? 4 WHICH OPTION? tO

MAJOR PROFILE INVOLVED-? 2 SECONDARY PROFILE INVOLVED-? 0 FIRST ZONE OR RING NUMBER-? t

LAST (OUTER) ZONE OR RING NUMBER? IS

IN SUBROUTINE PRINT-PLOT OPTION 10 WILL BE PERFORMED ON RINGS OR ZONES 1 TO 30

PROFILE NUMBERS* 2 1

HONE?

PROFILE 2 * THE U.C. RADIAL ABSORPTION PROFILE IS PRINTED BELOW.

INDEX EPSILON*CONCENTRATION

¥ i . v v, ’

a

2.37020 .409901 9 3.60567 .564517

to

3 .49097 1 1 4.41713 .807341 1 2 7.79145 .091629 13 8.95025 .951833 14 9.72655 .987959

IS

10 1 14 9.72653 .987959 17 8.95025 .951033 18 7,79145 .091629 if 6.41713 .007341 20 5 .69097 21 3.68567 .56651f 2 2 2.57028 .40990t 23 1.69576 . 279 U3 24 1.03043 7466?9E 01 75 .625 •0417 26 .349152 .456903 27 .18453 .733933 28 •922651E 01 1.03496 29 .043644 t.36008 30 .195313E 01 1.70927 SUBROUTINE NUMBER*? 6 WHICH OPTION? 10\0\

MAJOR PROFILE INVOLVED*? 2 SECONDARY PROFILE INVOLVED"? 0 FIRST ZONE OR RING NUMBER-? I LAST (OUTER) ZONE OR RING NUMBER? 30

IN SUiROUTINE PRINT-PLOT OPTION 1 WILL DC PERFORMED ON RINGS OR ZONES l TO JO

PROFILE NUMBERS* 2 1

PLOT MINOR PROFILE? N

INHERENT IN DATA ARl THE FOLLOWING!

MIN MAX

U.C. RADIAL ABSORPTION .177636E 13 10

DO YOU WANT TO SET SCALES? I TER *YES* OR *N0*.? N INPUT TITLE

? RADIAL ABSORPTION PROFILE

IF SATISFIED* ENTER 'YES' OR ' Y ' r OTHERWISE 'NO' OR N" Y

RADIAL ABSORPTION PROFILE

1 2 3

4

5

6

7

8

9 10

11

12 13 14

15

14

17

18

1»

20 21 22 23 24 25 24 27 28

2t

30 i t i t i i i t i i t m m m a m i t m m t t i i M i i m m m i i t i i i i i m SCALES!

U.C* RADIAL ABSORPTION MIN- .177A34E-13 MAX- 10

MOULD YOU LIKE A COPY OF THIS PLOT IN YOUR OUTPUT FILET N MOULD YOU LIKE TO CHANGE SCALES? N

IN SUBROUTINE CONSTRUE OPTION 3 WILL BE PERFORMED ON RINGS OR ZONES I TO SO

PROFILE NUMBERS- 3 U

YOU ARC CONSTRUCTING AN ELLIPSOIDAL LATCRAL INTENSITY PROFILE WHICH WILL BE ADDED TO THE CURRENT CONTENTS OF' THAI PROFILE, MAXIMUM OBSERVED INTENSITY IS** 100

ZONE OR RING IN WHICH ELLIPSE FAl I S TO ZEPO* 1 t' 3S

SUBROUTINE NUMBER-? 1 WHICH OPTION? 4

MAJOR PROFILE INVOLVED-* 4 SECONDARY PROFILE INVOLVED-* 0

FIRST ZONE OR RING NUMBER-* 1

LAST <OUTFR) ZONE OR RING NUMBER* 50

IN SUBROUT INF CONSTRUE OPT ION 4 WILL BE

PERFORMED ON RINGS OR ZONFS t 10 50

PROFILE NUMBERS- 4 U

YOU ARE CONSTRUCTING AN HOMOGENEOUS U.C. DACRL lGMT PROF V f

WHICH WILL SF AMBCB FO TNf CURRT N F o W H E N 10 (IF THA r ppfjf V, f . MARIFUM NQN-ADOORQEP UGLUF I5»* 10«

SUBROMT ? m NUMBER- * *

WHICH OPTION* 10

MAJOR PROFILE INVOLWEB-* 4 SCCGNOAF* PROFILE INVOLVED-* 0 FIRST ZBMF OR RING NUMBER-* 1 LAST (OUTER) ZONE OR RING NUMBER* S

IN SUBROUTINE PRINT PLOT OPTION IO WILL M PERFORMED ON RINGS OR ZONES I TO '

PROFILE NUMBERS- 4 1

HOME?

PROFILE 4 THE U.C. BACKLIGHT PROFILE IS PRINTED BELOW.

INDEX NON-ABSORBED VALUE LOG

t too 2 2 too 3 too n 4 100 2 5 too *3 LOO PDATA<I* J> SUBROUTINE NUMBER-* 1 WHICH OPTION* S

MAJOR PROFILE INVOLVED-* 1 SECONDARY PROFILE INVOLVED-* 0 FIRST ZONE OR RING NUMBER-* 1 LAST (OUTER) ZONE OR RING NUMBER* S

IN SUBROUTINE CONSTRUC OPTION 3 WILL BE PERFORMED ON RINGS OR ZONES I TO 5

PROFILE NUMBERS- I II

YOU HAVE DECIDED TO INPUT SELECTED RELATIVE EMISSION VALUEVALUES

IN THE U.C. RADIAL (MISSION PROFILE. ZONE OR RING -? 1 VALUE-? ?• ZONE OR RING •? 2 VALUE-? BO ZONE OR RING •* 3 VALUE*? 73 ZONE OR RING -? 45 SUBROUTINE NUMBER-? A WHICH OPTION? 10

MAJOR PROFILE INVOLVED-* 1 SECONDARY PROFILE INVOLVED-* 0

FIRST ZONK OR RINO NUMBER-? 1

LAST (OUTER) ZONE OR RING NUMSER? S

IN SUBROUTINE PRINT-PLOT OPTION 10 WILL BE

PERFORMED ON RINGS OR ZONES 1 TO 3

PROFILE NUMBERS* 1 1

HOME?

PROFILE I . THE U.C. RADIAL EMISSION PROFILE IS PRINTED BELOW.

INDEX RELATIVE EMISSION VALUE LOO PDATA(I.J)

1 98 1.99123 2 88 i.94448 3 73 1.87304 4 44.1713 1.80734 3 SO 1.49897 SUBROUTINE NUMBER-? 1 WHICH OPTIOM? A

MAJOR PROFILE INVOtWEB-? I

SECONDARY PROFILE IHVOLVED-? 0 FIRST ZONE OR RINO MUMBEM-? I LOOT (OUTER) ZONE OR RINO NUMBER?

IN m N OUTINE CONSTRUC OPTION A WILL BE

*r» iris. w.u. KHViW. Lfll ION PROFILE. INPUT 7 VALUES* I PEN LINE.

ZONE OA KINO I VALUE*? f7

ZONE ON RING 2 VALUE*? 8?

;ONE 08 RING ZONE OR RING ZONE OR RING ZONE OR RING ZONE OR KINO 3 VALUE-? 77 4 VALUE*? 44 5 VALUE** 50 4 VALUE*? 35 7 VALUE*? II SUIROUriNL NUMBER*? a WHICH OPTION? 10

MAJOR PROFILE INVOl VFD-? I SECONDARY PROFlEl INVOL VED <*0

FIRST ZONE OR RING NUMBER-? 1

LAST (OUTER) 70NF OR RING NUMBER? 10

IN SUBROUTINE ERIN! I t OT OPTION 10 WILL BE

PERFORMED ON RINbi uR znur !, 1 rr 10

PROFILE NUMBERS* 1 1

HOME?

PROFILE 1 • THE U.C. RADIAL EMISSION prof n r n PRINTED BCLOU.

INDEX RELATIVE f MISS 1 UN VALUE LOG F'DATAT I *

1 9? t.90477 2 119 1.74939 3 77 l.UUA49 4 64 1.B0A1U 5 SO t.6909? 4 35 1.5440 ' 7 11 1.0413? 8 14.9574 t. 9 10.5843 1.02444 10 4,25 .79500 SUBROUTINE NUMBER-? 1 WHICH OPTION? 7

HAJOR PROFILE INVOLVED*? 1 SECONDARY PROFILE INVOLVED"? 0 FIRST ZONE OR RING NUMBER-? 1 LAST (OUTER) ZONE OR RING NUMBER? 50

IN SUBROUTINE CONSTRUE OPTION 7 WILL BE PERFORMED ON RINGS OR ZONES 1 TO 50

PROFILE NUMBERS- 1 1 1

YOU HAVE DECIDED TO SCALE SE1 ECTCD REL ATIVE EMISSION VALUEVALUCS

IN THE U.C. RADIAL EMISSION PROFIT T . ZONE OR RING •? 7 VALUE- ? 2 ZONE OR RING -? 5 VALUE*? 1.1 ZONE OR RING *? SUBROUTINE NUMBER-? 4 WHICH OPTION? 10

MAJOR PROFILE INVOLVED-? 1

SECONDARY PROFILE INVOLVED-? 0 FIRST ZONE OR RING NUMBER-? 4 LAST (OUTER) ZONE OR RING NUMBER? 0

IN SUBROUTINE PRINT PLOT OPTION 10 WILL BE PERFORMED ON RINGS OR ZONES 4 TO 9

PROFILE LUMBERS- 1 1

HOME?

PROFILE 1 « THE U.C. RADIAL EMISSION PROFILE IS PRINTCD BCLOU.

INDEX RFtATIVE EMISSION VALUE LOG PDATAUtJ)

4 44 1 .00418 5 55 1 . 74036 4 35 1.54407 7 1.34242 8 14.9574 1.22934 SUBROUTINE NUMBER*? 1 WHICH OPTION? •

HAJOR PROFILF INVOLVED*? I

SECONDARY PROFILE INVOLVED*? 0

FIRST ZONE OR RING NUMBER*? I LAST (OUTER) ZONE OR RING NUMBER? 10

IN SUBROUTINE COMSTRUC OPTION 6 WILL BE

PERFORMED on RINOS OR ZONES 1 TO 10

PROFILE NUMBERS* 1 11

YOU HAVE DECIDED TO SCALE ALL POSSIBLE RELATIVE EMISSION VALUEVALUCS IN THE U.C. RADIAL EMISSION PROFILE.

INPUT 10 VALUES* I PER LINE. ZONE OR RING I VALUE*? 2

ZONE OR RING 2 VALUE*? 1.?

ZONE OR RING 3 VALUE-? 1..0

XBAS-F-ILLNUM# Uletfel nuMer

•AS-I-FROLIHGSB. tram lift* 3840 In Q09UB 3110 in Module ABELRV

-BAO-I-FROLINHOO, fro. lint 2300 in Module ASELRV

STRACt-F-fRACESACK » ewMboiic eteck due* fellow*

MMftulR n m m routine n * M line rel PC eb* PC

BATCH OR TIMESHARE RUN) INPUT ? TIME

DO YOU WISH TO RANDOMIZE) M *

•BATCH* OR •TINE* OR JOB OR •YES* OR ‘Y*

ABORTS

IS AFFIRMATIVE. ALL OTHER RESPONSES ARE NEGATIVE.? N HOW MANY RANDOM MUMPERS DO YOU WANT TO SKIP? S WHAT IS THE SPATIAL ZONE WIDTH IN MICRONS? 50 WHAT IS THE LAST EMISSION RING? 25

SHOULD THE TRANSMITTANCE PROPILE PROTECTION H A G RE ON--. RECOMMENDED THAT IT BE ON.

ENTER *0N* OR •OPE* YOUR CHOICE? ON

SHOULD PROFILE 8 BE AUTOMAT I CAL l Y CONSTRUE IT P? Y SUBROUTINE NUMBER-? 1

UH CM OPTION? 5

MAJOR PROF ILE INVOLVID i

SEC ONDAR r PR OE I i,f INVO l v ID ? o FIRST ZuNf '«C R fniQ NUMBER--? 1

LAST cOHfi , /CS* OR K'!N(» NUMBER? 1C

IN SUBROUTINE CONSTRUC OPTION S Wti L HE

PERFORMED ON RINGS OR ZONES \ in 10

PROT ILE NUMBERS 1 I 1

rOU NAVI DECIDED IU INPUT LLEl IID PILATIVE CM I SSI ON VAt lit VALUES

IN THE U.C. RAD !*l (Ml

ZONE OR RING »? A VALUE ? 64 ZONE Ok RING -? 5 VALUE-? 55 ZONE OR RING ? 6 VALUE-? 35 ZONE OR RING «? r VALUE-? 22 ZONE OR RING ~? 8 VALUE*? 14*9574 ZONE OR RING *? 1 VALUE-? 97 ZONE OR RING *? *■> VALUE*? 89 ZONE OR RING »? 3 VALUE *? / '? ZONE OR RING »? 9 VALUE*? 10.5843 ZONE OR RING -? to VALUE-? 6.25 ZONE OR RING »? SUBROUTINE NUMBER-? 1 WHICH OPTION? 8

MAJOR PROFILE INVOL VED*? 1 SECONDARY PROFILE INVOLVED-? 0 FIRST ZONE OR RING NUMBER ? 1 LAST <OUTER) ZONE OR RING NUMBER? 5

IN SUBROUTINE CONSTRUC OPTION H WILL BE

PERFORMED ON RINGS OR ZONES 1 rn 5

PROFILE NUMBERS- l 11

YOU HAVE DECIDED TO SCALE ALL POSSIUf RELATIVE EMISSION VALUEVALUES IN THE U.C. RADIAL EMISSION PROF ILF.

INPUT 5 VALUES * 1 PER LINE.

ZONE OR RING 1 VALUE*? 10

ZONE OP RING 2 VALUE*? 1

ZONE OR RING 3 VALUE*? .5

ZONE UR RING 4 VA4.UE-? .25

ZONE OR RING 5 VALUE-? . 1

SUBROUTINE NUMBER-? 4.\.\ WHICH OPTION? 10

MAJOR PROFILE INVOLVED-? i

SECONDARY PROFILE INVOLVED-? 0

FIRST ZONE OR RING NUMBER-? 1 LAST (OUTER) ZONE OR RING HUMBERT 10

IN SUBROUTINE PRINT PLOT OPTION 10 WILL BE

PERFORMED ON RINGS OR ZONES 1 TO 10

PROFILE NUMBERS- 1 1

HONE?

PROFILE 1 t THE U.C . RADIAL EMISSION PROFILE IS PRINTED BELOW.

INDEX RELATIVE EMISSION VALUE LOG PDATA

1 970 2.98477 2 39 l.94939 3 38.5 l.50546 4 16 1 20412 5 *i •5 . 740.1/1 6 15 l.54407 7 22 1.34242 8 14.9574 1.22936 9 10.5843 1.02446 10 4.25 .79580 SUBROUTINE NUMBER*? 1 WHICH OPTION? ?

MAJOR PROFILE INVOLVED*? 1 SECONDARY PROFILE INVOLVED*? 0

XM SUBROUTINE CONSTRUE OPTION 9 U R L SE PERFORMED ON RINGS OP ZONES 1 TO 10

MOTILE NUMBERS* | u

YOU HAVE DECIDED TO ADD TO SELECTED RELATIVE EMISSION VALUEVALUES

IN THE U.C. RADIAL EMISSION PROFILE.

ZONE OR RING •»* i VALUE-? | ZONE OR RING ** 2 VALUE*? 2

ZONE

OR U N O •* 3 VALUE*? 3 ZONE OR RING *? 4 VALUE*? 4 ZONE OR RING ** 5 VALUE*? 5A ZONE

OR

RING ** 6 VALUE-? -3 ZONE OR $ \ m ^ 7

VALUE*? 0

ZONE OR RING ** 8 VALUE** - . 8 ZONE OR RING -?

SUBROUTINE NUMBER ? Ai\t UNICM OPTION? to

MAJOR PROFILE INVOLVED-* |

SECONDARY PROFILE INVOLVED*1’0

FIR8T ZONE OR RING NUMBER-* I

LAST (OUTER) ZONF OR RING NUMBER* 10

PERFORMED ON R INIit. OR ZONn; t rn to

PROFILE NUMBERS* t i

HOME?

PROFILE t . ! HE U.C. RAD IAt EMISSION 1 t o r II i IS PR INI ED R E t U U .

INDEX RELATIVE CM I S M ON VAl IJt 1 OC PDAT/i

1 9 71 _2.90722 2 _{V I 1.95904} 3 41 .3 1.61805 4 20 1.30103 3 At .3 _1.7A888 A 30 1,47712 7 22 1 . 34,*47 • 16.4576 _{t 7163/} 9 _{10.5843 l - 07466} 10 6.25 . ’ 9*.HO SUBRQUT LMF NUMBER* ? 1 UN*CH OPTION* 10

MAJOR PROFILE INVOLVED** 1

SECONDARY PROFILE INVOLVED-? 0

FIRST ZONE OR RING NUMBER ** I

LAS? (OUTER) m m OP RING NUMBER* 5

IN SUBROUTINE CONSTRUE OPTION 10 WILL flC

PERFORMED ON RINfin OR ZONES 1 TO 5

YOU HAVE DECIDED Tf ADD

IN THE U.C. RADIAL EMISSION INPUT 5 VALUES, i PER LINT

ZONE OR RING I VALUE®* .3

ZONE OR RING 2 VALUE * * ’

ZONE OR RING 3 VALUE ? 3

ZONE OR RING 4 VALUE* ' 3

ZONE OR RING 5 VAl ill - 4

)

W

ro m i p o s s i b i i m m r i w e m i s s i o n v a l u e v a u I L E .

SUBROUTINE NUMBER** A

UNICH OPTION* 10

HAJOR PROFILE INVOLVED > I SECONDARY PROFILE INVOLVED*? 0

FIRST ZONE OR RING NUMBER*? 1

LAST (OUTER) ZONE OR RING NUMBER* 10

IN lURROUTINE PRINT-PLOT OPTION 10 WILL BE

PERFORMED ON RINGS OR ZONES 1 TO 10

PROFILE NUMBERS* i i

HOME?

PROFILE 1 t THE U.C. RADIAL EMISSION PROFILE IS PRINTED BELOU.

INDEX RELATIVE EMISSION VALUE LOO r'DAT

1 974 _2.98836 2 94 _1.97313 3 44.3 _1.64836 4 23 1.36173 5 AS.5 _1.81A24 A 30 _1.47712 7 22