### 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 language | English |
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Pages (from-to) | 1502-1519 |

Number of pages | 18 |

Journal | SIAM Journal on Applied Mathematics |

Volume | 60 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2000 Jan 1 |

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### All Science Journal Classification (ASJC) codes

- Applied Mathematics

### Cite this

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*SIAM Journal on Applied Mathematics*, vol. 60, no. 5, pp. 1502-1519. https://doi.org/10.1137/S0036139998346415

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Asymptotic diffusion limit for electromagnetic wave reflection from a random medium

AU - Kim, Jeong Hoon

AU - Sohn, So Young

PY - 2000/1/1

Y1 - 2000/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0033657769&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033657769&partnerID=8YFLogxK

U2 - 10.1137/S0036139998346415

DO - 10.1137/S0036139998346415

M3 - Article

AN - SCOPUS:0033657769

VL - 60

SP - 1502

EP - 1519

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

SN - 0036-1399

IS - 5

ER -