Mean power reflection from a one-dimensional nonlinear random medium

Journal Article · Tue Jul 01 04:00:00 EDT 1986 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527042· OSTI ID:5654831

Spigler, R

A model of wave propagation in a slab 0< or =x< or =L of a nonlinear random medium is considered. The index of refraction is k(1+epsilon-tilde(x,wVertical Baru/sup epsilon/(x,L,w)Vertical Bar/sup 2/))/sup 1//sup ///sup 2/, where epsilon-tilde(x,..cap alpha..) = epsilonm(x)+epsilon/sup 2/((n(x)= +idelta(x))..cap alpha..+theta(x)+i..gamma..(x)), with epsilon a small parameter, m,n,delta,theta,..gamma.. suitable stochastic processes, u/sup epsilon/(x,L,w) the wave field, and w> or =0 the intensity of nonlinearity. The mean reflected power is evaluated from a certain nonlinear partial differential equation satisfied by the reflection coefficient R/sup epsilon/(L,w).

• Research Organization: Courant Institute of Mathematical Sciences, New York University, New York, New York 10012
• DOE Contract Number: AC02-76ER03077
• OSTI ID: 5654831
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 27:7; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657004 -- Theoretical Physics-- Acoustics-- (-1987)
657005* -- Theoretical Physics-- Optics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACOUSTICS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
FLUCTUATIONS
NONLINEAR OPTICS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
OPTICS
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS
REFLECTION
SLABS
STOCHASTIC PROCESSES
VARIATIONS
WAVE PROPAGATION