The Scattering Problem and the Fermat Principle
The Weighted Fermat Triangle Problem
... d 2 d 3 Figure 1 Robertello in 1965 6 as the three-factory problem and solved using trigonometry; two subse- quent papers by van de Lindt 7 and Tong and Chua 8 offered geometric solutions. There is also a ...
16
A multiple scattering problem
... interaction between the volume elements (self-interaction) is neglected~ The interaction of the particles is taken into account (multiple scattering) and conditions are s[r] ...
144
The Problem of Scattering by a Mixture of Cracks and Obstacles
... the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having an open crack Γ and a bounded domain D in R 2 as cross ...the problem can be reformulated as a boundary integral ...
19
An Inverse Electromagnetic Scattering Problem for an Ellipsoid
... Electromagnetic Scattering Problem for an Ellipsoid Evangelia ...Abstract—The scattering problem of time-harmonic electromagnetic plane waves by an impedance and a dielectric ellipsoid is ...
10
Generalized Fermat curves
... The link between the first two applications is made as follows. If π : X → P 1 is a pencil of curves of genus g with singular fibers at t ∈ { 0 , 1 , ∞} , then, by the universal property of moduli space, there is a ...
18
The limiting absorption principle and a radiation condition for the scattering by a periodic layer
... ABSORPTION PRINCIPLE AND A RADIATION CONDITION FOR THE SCATTERING BY A PERIODIC LAYER ANDREAS KIRSCH AND ARMIN LECHLEITER ...Abstract. Scattering of time-harmonic waves from periodic structures at ...
34
Inverse scattering problem in turbulent magnetic fluctuations
... The scattering formulation has mathematically lu- cidly been presented by Koelink ...induction problem (Weidelt, 1972). A similar problem refers to the propagation of seismic p waves in one dimension ...
17
Galerkin method for the scattering problem of strip gratings
... diffraction problem of periodic strip gratings is ...this problem usually concentrated on the numerical method; however, we try to analyze this problem and the convergence of the numerical solution ...
14
The Morozov Discrepancy Principle for the Elliptic Inverse Problem
... This second example yields much more favorable results in terms of the error levels. Five percent noise causes a noticeable malformation of the co- efficient reconstruction, but a recognizable reconstruction is found for ...
89
Basic principle for the solution of the building evacuation problem
... evacuation problem. As we analyze in the state of the art, this problem can be studied from different perspectives and even as a problem of optimization considering different ...the problem. ...
18
Privacy Law\u27s Precautionary Principle Problem
... The problem with letting such precautionary thinking guide policy is that it poses a serious threat to technological progress, economic entrepreneurialism, social adaptation, and long-run ...precautionary ...
21
RESOLUTION OF EXTREMISATION PROBLEM USING DUALITY PRINCIPLE
... 2 Department of Mathematical Sciences, Olabisi Onabanjo University, Ago-Iwoye *Corresponding author Definition 1.1 Given a vector x in a Hilbert space H and a subspace M in H. We wish to find the vec- tor m closest to x ...
9
Fermat s Principle and the Geometric Mechanics of Ray Optics Summer School Lectures, Fields Institute, Toronto, July 2012
... Figure 4: Fermat’s principle states that the ray path from an observer at A to point B in space is a stationary path of optical length. For example, along a sun-baked road, the temperature of the air is warmest ...
142
An inverse scattering problem to reconstruct refractive index distributions
... Clearly, our problem is ill-posed. First, propagation of light is described by the Helmholtz equation and since the BPM model is an approximation, an unique solution does not exist. That is, one can make a small ...
51
Ettore Majorana and the Theoretical Problem of Photon Electron Scattering
... basic scattering process reveals very clearly the key physical ideas behind the phenomenon under ...the problem of bound electron scat- tering, where Majorana was able (for the first time) to quantitatively ...
13
MoL 2018 05: Leibniz's Principle and the Problem of Nonindividuality
... a problem for ...the problem should at least hinting at a possible formalisation of the relevant claims (un- less such formalisation is shown to be ...Exclusion Principle we can maintain that one ...
94
Performance Analysis of Fermat Factorization Algorithms
... factorization problem that involves finding the two prime factors for an odd composite ...this problem is that no polynomial time has yet been found. The problem is used in cryptography to break the ...
13
Field of moduli and generalized fermat curves
... If in Weil’s Galois descent theorem the curve C is assumed to be irreducible and non-singular, the model E can also be assumed to have the same properties. In this paper we will be in that situation. Weil’s theorem works ...
18
The Gaussian Beam Summation and the Gaussian Launching Methods in Scattering Problem
... 4. Conclusion The main purpose of the asymptotic approximation technique in electromagnetism is to give effective numerical solution of the wave equation combining accuracy and bet- ter computing time. We treat two ...
8
Outlier Phenomenon in Data Interpretation for One Waves Scattering Problem
... Waves Scattering data interpretation Removing such errors can be important in data mining and data analysis ...data. Scattering of acoustic or electromagnetic waves by several objects has im- portant ...
9