Asymptotic diffusion limit for electromagnetic wave reflection from a random medium

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1502-1519
Number of pages18
JournalSIAM Journal on Applied Mathematics
Volume60
Issue number5
DOIs
Publication statusPublished - 2000 Jan 1

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Electromagnetic wave reflection
Diffusion Limit
Asymptotic Limit
Random Media
Electromagnetic Wave
Fokker Planck equation
Electromagnetic waves
Mathematical operators
Total Internal Reflection
Transition Density
Multilayers
Kolmogorov Equation
Differential equations
Random Coefficients
Operator Theory
Reflection Coefficient
Perturbation Analysis
Scattering
Pseudodifferential Operators
Fokker-Planck Equation

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

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Asymptotic diffusion limit for electromagnetic wave reflection from a random medium. / Kim, Jeong Hoon; Sohn, So Young.

In: SIAM Journal on Applied Mathematics, Vol. 60, No. 5, 01.01.2000, p. 1502-1519.

Research output: Contribution to journalArticle

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