By Leung Tsang Jin Au Kong Kung-Hau Ding Chi On Ao

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**Extra resources for Scattering of Electromagnetic Waves, Volume 2: Numerical Simulations**

**Sample text**

In the following we first consider a two-dimensional scattering problem so that the surface integral equation becomes one-dimensional. Consider an incident wave impinging upon an object. , | = 0 (Fig. 1). 1 2-D scattering problem with 1-D boundary. Let n = nxx + nzz. 6) that Thus for two-dimensional problem, we can simply use ^. Then (i) For TE problem of perfect electric conductor, the boundary condition is (ii) For TM problem of perfect electric conductor, the boundary condition is For two-dimensional problems, the Green's function is where p = xx + zz and HQ is the zeroth order Hankel function of the first kind.

Tsang, and H. Rott (1996), Microwave emission from density stratified Antarctic firn at 6 cm wavelength, J. of Glaciology, 42(140), 63-76. 3 Steepest Descent Method Real Symmetric Positive Definite Matrix General Real Matrix and Complex Matrix 46 48 52 References and Additional Readings 57 - 13 14 2 INTEGRAL EQUATION FORMULATIONS AND NUMERICAL METHODS In this chapter, we discuss integral equation formulation of boundary value problems. We will give a brief overview with more detailed analysis to be given in subsequent chapters where the numerical methods are applied to specific problems.

13) with d3 replaced by (47r/3)a3. The internal field of a small sphere is (3e/(ep + 2e}}E which becomes the same as that of a small cube. 2 of Volume I, we have noted that the Clausius-Mossoti internal field is not accurate enough because when one applies the optical theorem using the result forward scattering amplitudes, it does not give the contribution due to the scattering part. For the case of small cube, the same reasoning applies. Thus to ensure that the final scattering obeys energy conservation, one has to take into account radiative correction.