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

Authors :
GARNIER, JOSSELIN
PAPANICOLAOU, GEORGE
Source :
Stochastics & Dynamics. Mar2008, Vol. 8 Issue 1, p127-138. 12p. 1 Diagram.
Publication Year :
2008

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02194937
Volume :
8
Issue :
1
Database :
Academic Search Index
Journal :
Stochastics & Dynamics
Publication Type :
Academic Journal
Accession number :
31186210
Full Text :
https://doi.org/10.1142/S0219493708002214