ANALYSIS OF PULSE PROPAGATION THROUGH A ONE-DIMENSIONAL RANDOM MEDIUM USING COMPLEX MARTINGALES-Reference-Cited by-同舟云学术

ANALYSIS OF PULSE PROPAGATION THROUGH A ONE-DIMENSIONAL RANDOM MEDIUM USING COMPLEX MARTINGALES

Published:2008-03 Issue:01 Volume:08 Page:127-138
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

GARNIER JOSSELIN¹,PAPANICOLAOU GEORGE²

Affiliation:

1. Laboratoire de Probabilités et Modèles Aléatoires &, Laboratoire Jacques-Louis Lions, Université Paris VII, 2 Place Jussieu, 75251 Paris Cedex 5, France

2. Mathematics Department, Stanford University, Stanford, CA 94305, USA

Abstract

We show that the propagation of pulses in a one-dimensional random medium can be characterized using a new complex martingale representation of the transmission coefficient. This representation holds in the frequency domain and in a certain asymptotic limit where diffusion approximations can be used.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493708002214

Reference7 articles.

1. Frequency Content of Randomly Scattered Signals

2. One-dimensional wave propagation in a highly discontinuous medium

3. Multimode, one-dimensional wave propagation in a highly discontinuous medium

4. Spreading of a Pulse Travelling in Random Media

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