Scalar Wave Diffraction

SPIE Milestone

Series

Volume MS 51

Selected

_Papers

on

Scalar

Wave

Diffraction

Kurt

Edmund

_Oughstun,

Editor

University of

Vermont

Department of Computer

Science

and Electrical

_Engineering

and

_{Department of}

Mathematics

Brian

_J*

_Thompson

General

_Editor,

SPIE Milestone Series

SPIE Optical Engineering Press

APublicationofSPIE—TheInternational_Societyfor_{Optical Engineering}

Selected

_Papers

on

Scalar

Wave

Diffraction

Contents

xi Preface, Kurt Edmund_Oughstun Section One:

Foundations

of the Scalar

Theory

of the

Optical

Field

3 On the foundation of the scalardiffraction

_theory

of_{optical imaging} O. _Theimer,G. D._Wassermann, E. Wolf(Proceedings ofthe Royal Society

A 1952)

15 A scalar _{representation}of

_{electromagnetic}

fields

H. S. Green, E. Wolf_{(Proceedings of}the _{Physical Society}A 1953)

24 A scalar _{representation}of

_{electromagnetic}

fields: II E. Wolf_{(Proceedings of}the_{Physical Society}A 1959) 36 Use of scalar

_theory

in_optics

A. S. _Marathay,G. B. Parrent,Jr. (Journal ofthe _{Optical Society of}America

1970)

SectionTwo

General

Theory

41 A contributionto the

theory

ofacoustic radiation

C. J.

_{Bouwkamp (Philips}

_{Journal of}Research 1946)

68 On the _theory of diffraction_byan _aperturein aninfiniteplanescreen. I.

H.Levine,J. Schwinger

(Physical

Review 1948)

85 On the_theory of diffraction_by an _aperturein aninfinite planescreen. II.

H.Levine,J. Schwinger

(Physical

Review1949)

95

_Comparison

of theKirchhoff and the

_{Rayleigh-Sommerfeld}

theories of

diffraction atanaperture

E._Wolf, E.W. Marchand(Journal oftheOptical

Society of

America1964)

103

_{Rayleigh's integral}

inthenearFresnel region

H._Osterberg (Journalofthe Optical Society ofAmerica 1965)

108 Diffraction atablackscreen. Part I:Kirchhoffs

theory

F. Kottler (Progressin_Optics 1966)

133 _Reciprocity theorems in various theories of diffraction

A._Kujawski (Journalofthe _{Optical Society of}America1966)

137 Consistent formulation of Kirchhoffs diffraction

theory

E. W. Marchand, E. Wolf_{(Journal of}the OpticalSociety ofAmerica 1966)

148

_Application

of the convolution theorem to

Rayleigh's

_integralformulas

G. C.Sherman (Journalofthe _{Optical Society of}America 1967)

150 Diffraction at small apertures inblackscreens

E. W. Marchand, E. Wolf(Journal

of

the

_{Optical Society of}

America 1969)

Section Three

Theory

of the

Boundary

Diffraction

Wave

165 Die_{Beugungswelle}inder Kirchhoffschen Theorie der

Beugungserscheinungen

A. Rubinowicz (Annalender

_Physik

1917)

187 Generalizationof the

_{Maggi-Rubinowicz theory}

of the

_boundary

diffractionwave—Part I

K.

_Miyamoto,

E. Wolf(Journal

of

the

_{Optical Society of}

America 1962)

198 Generalizationof the _{Maggi-Rubinowicz}

_theory

of the

_boundary

diffractionwave—Part II

K.

_Miyamoto,

E.Wolf(Journal

of

the

_Optical

_Society

_of

America 1962)

210 _Boundarydiffractionwave in the domain of the Rayleigh'Kirchhoff

diffraction

_theory

E. W. _Marchand,E.Wolf(Journal ofthe

_Optical

Society

of

America 1962)

Section Four

Geometric and

Asymptotic

Theories

of

Diffraction

219 Diffraction

_by

an_aperture

J.B.Keller (Journal

of Applied Physics

1957)

238 Diffraction

_by

anaperture. II

J. B.Keller, R. M._Lewis,B. D.Seckler (Journal of

Applied Physics

1957)

248

_{Boundary layer problems}

in diffraction _theory

R. N._Buchal,J.B. Keller (Communications onPureand

Applied

Mathematics 1960)

272 Geometrical

_theory

of diffraction

J. B. Keller _{(Journal of}the

_{Optical Society of}

America 1962)

287 Uniform_asymptotic

_theory

of diffraction

_by

a

plane

screen

D.S.Ahluwalia,R. M. Lewis,J. Boersma _(S1AMJmrnalofApplied

Mathematics 1968)

306 Uniform_asymptotic

_theory

of

_edge

diffraction

R. M.Lewis,J.Boersma_{(Journal of'Mathematical Physics 1969)} 321 _{Diffraction, asymptotics} and

_catastrophes

J. J. Stamnes _(OpticaActa 1982)

338 Uniform_asymptotic

_theory

of diffraction_byapertures

J. J. Stamnes (Journalofthe Optical

Society of

America 1983)

SectionFive

Angular

Spectrum

of

Plane Waves

Representation

355

_{Ausbreitung electromagnetischer}

Wellen iiber einemebenenLeiter H._Weyl (Annalender_{Physik 1919)}

375 Diffraction

_theory

in the _{k-representation}

H. M._{Nussenzveig (Amis}da Academia Brasileira de Ciencias 1959)

381 Conditions for the

_validity

of the _{angularspectrum} of

_plane

waves

E.Lalor (Journal

of

the

_Optical

_Society

_of

America 1968)

384 Inversediffraction anda new reciprocity theorem

J.R. Shewell,E.Wolf(Journal

of

the

_{Optical Society of}

America1968)

392 Three-dimensionalstructuredetermination of _{semi-transparent} objects from

holographic

data

E. Wolf

_(Optics

Communications1969)

396 Generalization of the_{angular spectrum ofplane}waves and the diffraction

transform

G. C.Sherman, H._J. Bremermann (Journal

of

the

_{Optical Society}

ofAmerica 1969) 407 Diffracted wavefields expressible by plane-waveexpansions containing only

homogeneous

waves

G. C. Sherman (Journal ofthe

_{Optical Society}

ofAmerica 1969)

ATI Plane-wave_{representations} for scalar wave fields

A._{J. Devaney, G. C. Sherman(SIAM}Review 1973)

440 _{Asymptotic approximations}to _{angular-spectrum representations}

G. C._{Sherman, J. J. Stamnes,}E.Lalor (Journal

of

MathematicalPhysics 1976)

457 Thecontributions of_homogeneousand evanescentplanewaves tothe scalar

optical

field: exactdiffraction formulae

D. C. Bertilone (JournalofModem_Optics 1991)

Section Six

Diffraction

Theory

of the

Light

Distribution

Near

Focus

469 Das VerhaltenvonLichtwellen in der Naheeines Brennpunktes oder einer

Brennlinie

P. _Debye (Annalender_{Physik 1909)}

485

_Light

distribution nearfocus inan error-free diffraction image

E. Wolf

_(Proceedings

ofthe

_Royal

SocietyA 1951)

499 Phase distribution nearfocus inan aberration-free diffraction image

E. H. Linfoot, E. Wolf_{(Proceedings of}the

_Physical

Society B ₁₉₅₆₎

508 Measured

_phase

distribution in the_{image space} ofa microwave lens

G. W. Farnell (Canadian Journal

of Physics

1958)

514 _Attempt to_{investigate experimentally} the_intensitydistributionnear the focus in

the error-free diffraction _{patterns of circular and annular apertures}

C. A. _Taylor, B._{J. Thompson (Journal}

_of

the

_Optical

_Society

_of

America 1958)

521 Diffraction _{by semitransparent}and

_phase

annuli

B._J.

_Thompson

_{(Journal of}the _{Optical Society of}America1965)

526 _Focusing ofa

perfect

waveand the Airypatternformula

J. J.Stamnes

_(Optics

Communications 1981)

530 The_{Luneburg apodization}

_problem

in the

_nonparaxial

domain

J. J. Stamnes

(Optics

Communications 1981)

535 Conditions for the_validityof the_{Debye integral representation} of focused fields E._Wolf,Y. Li

_(Optics

Communications 1981)

540 Focal shifts in diffracted_{converging spherical} waves

Y. _Li, E.Wolf

_(Optics

Communications 1981)

545 _Focusingat small angular_apertures in the

_Debye

and Kirchhoff_{approximations}

J.

J. Stamnes, B.

_{Spjelkavik (Optics}

Communications ₁₉₈₁₎

Reciprocity principles for focused wavefields and the modified _{Debye integral} H. M. _{Pedersen, J. J.}Stamnes

_{Optica

Acta 1983)

An

_experimental

_{investigation of diffraction patterns}in low-Fresnel-number

focusingsystems

Y.Li, H. Platzer

_(Optica

Acta 1983)

Three-dimensional_intensity distribution near thefocusin _{systems of different}

Fresnel numbers

Y._Li, E.Wolf(Journal oftheOptical Society ofAmericaA 1984)

Three-dimensional _intensitydistribution in low-Fresnel-number _{focusing systems}

Y. Li (Journal

of

the

_{Optical Society}

ofAmericaA₁₉₈₇₎

Wave_theory foraconverging sphericalincident wave in an infinite-aperture

system

D. C. Bertilone (Journal ofModern

_Optics

1991)

Diffraction calculations _usingfast Fourier transformmethods

E. A._Sziklas,A. E. _{Siegman (Proceedings of}theIEEE ₁₉₇₄₎

Validity

of the Fresnel_{approximation} in the nearfield

W. H. Southwell (Journal

of

the

_{Optical Society of}

America 1981)

Evaluation ofdiffraction integralsusing local

phase

and

_amplitude

approximations

J. J.Stamnes, B.

_Spjelkavik,

H. M. Pedersen

_(Optica

Acta1983) Hybrid integration technique for efficient and accurate_computation of

diffraction

_integrals

J. J.Stamnes _{(Journal of}the _{Optical Society of}America A ₁₉₈₉₎ Author Index

Subject

Index