By Leung Tsang Jin Au Kong Kung-Hau Ding Chi On Ao
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Extra info for Scattering of Electromagnetic Waves, Volume 2: Numerical Simulations
Example text
In a real-life situation, there can be built-in incoherence. For example, the interfaces of the layered structure can be rough with rms height larger than 1/16 of a wavelength so that the reflection is rendered incoherent. In Fig. 3, we also show the brightness temperature averaged over 200 realizations. The 8 1 MONTE CARLO SIMULATIONS OF LAYERED MEDIA averaging shows that all the coherent oscillations have been smoothed out in the average. However, in order to produce a significant amount of decrease in brightness temperature due to reflection, a small correlation length of 2 mm is required as shown in Fig.
3). The volume V§ is infinitesimal. Nevertheless the shape of the exclusion volume has to be specified. The dyad L depends on the shape of the exclusion volume. The volume integral equation becomes where is the self field. e. relative to the background e), and with internal field E(r} inside V§. 41) is the contribution to E(r) from the incident field and its surrounding medium. Since V$ —> 0, the self field Ese\f (r) can be interpreted in terms of electrostatic field created by free charge and polarization charge densities and surface charge densities.
1 Common choices of basis functions: (a) pulse functions; (b) triangle functions. where the interval a < x < b have been divided into N intervals with endpoints an and 6 n , n — 1, 2 , . . , N. Another choice is the triangle basis functions (Fig. 1b). In Fig. 1b we show fn(x) and / n+ i(x). Note that fn(x) and fn+i(x) overlap. Weighting Functions Two common choices are (1) Galerkin's method. , u)n(x) = fn(z)(2) Point matching. One can pick a set of points x = x i , X 2 , . . 3). Then where This particular choice of testing procedure is called point matching.