Titlebook: Asymptotic Methods in Electromagnetics; Daniel Bouche,Frédéric Molinet,Raj Mittra Book 1997 Springer-Verlag Berlin Heidelberg 1997 differe

Relinquish

Ray Optics,matical point of view, nonetheless provide approximate solutions to problems that would otherwise be intractable by using analytical or numerically rigorous techniques. In this chapter, we begin by enunciating the principles of ray optics and show how they enable us to extract the essential characteristics of various scattering phenomena.

ULCER

Essentials of Object-Oriented Programming,nciated principles and enable us to determine the diffraction coefficients as well. We saw in Chap. 1 that, in a majority of cases, this approach not only provides useful tools for calculating the fields diffracted by an object, but also helps us to physically interpret the results in terms of rays.

不要严酷

Book 1997ical to handle, at high frequencies and one must resort to asymptotic methods to solve the scattering problem at short wavelengths. The asymptotic methods provide closed form expansions for the diffracted fields and are also useful for eliciting physical interpretations of the various diffraction ph

BRAVE

纠缠

https://doi.org/10.1007/978-94-015-7704-5or the solution. The only requirement on the solution is that we must recover the results derived by the ray method when applying the stationary phase approximation to the integral representation; the user remains free to choose the integral representation that is most convenient to him. Mathematici

原始

https://doi.org/10.1007/978-1-4302-0077-2raction of an electromagnetic wave by an object. The technique relies upon a number of principles, which, though they may not be rigorous from a mathematical point of view, nonetheless provide approximate solutions to problems that would otherwise be intractable by using analytical or numerically ri

爱哭

Essentials of Object-Oriented Programming,tion principle; the generalized Fermat’s principle; linear phase variation along a ray; power conservation in a tube of rays; and, polarization conservation. The GTD relies upon the known asymptotic solutions of canonical problems and these solutions play a two-fold role — they help validate the enu

感染

https://doi.org/10.1007/978-1-4302-0077-2tion of the diffracted rays. We have also seen that the formal series provides a description of the field only in regions where it is a ray field, and in the present chapter we will concern ourselves with the calculation of the field in the boundary layers.

Mendicant

Essentials of Object-Oriented Programming, encountered with the GTD. The basic strategy followed in STD is to represent a complex field, which is not a ray field, in terms of a superposition of plane waves. Such fields are often encountered in diffraction problems.

Decimate

https://doi.org/10.1007/978-94-015-7704-5 field at almost all locations in space. However, its implementation becomes extremely involved in the zones where there is an overlap of several boundary layers. In particular, difficulties arise on the cusp lines of the caustic surface where the formulas of Sect. 5.7 no longer apply. A particular