We consider a temporally pulsed electromagnetic wave obliquely incident upon a weakly dispersive and dissipative random `multilayer. The incident pulse width is chosen to be intermediate to two spatial scales with a deterministic macroscale and a random microscale. An asymptotic diffusion limit theory of stochastic differential equations is extended to a noncentered system and applied to analyze the asymptotic interplay of random scattering and total internal reflection. The perturbation analysis of the Kolmogorov-Fokker-Planck equation is performed for the random reflection coefficient and the pseudodifferential operator theory is used to represent the transition probability density of it.
All Science Journal Classification (ASJC) codes
- Applied Mathematics