Transmission of waves by a nonlinear random medium |
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| Authors: | R. Knapp G. Papanicolaou B. White |
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| Affiliation: | (1) Los Alamos National Laboratory, 87545 Los Alamos, New Mexico;(2) Courant Institute, 251 Mercer Street, 10012 New York, New York;(3) Exxon Research and Engineering Company, Route 22, 08801 East Annandale, New Jersey |
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| Abstract: | We study analytically and numerically the effect of nonlinearity on transmission of waves through a random medium. We introduce and analyze quantities associated with the scattering problem that clarify the lack of uniqueness due to the nonlinearity as well as the localization of waves due to the random inhomogeneities. We show that nonlinearity tends to delocalize the waves and that for very large scattering regions the average transmitted energy is small. |
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| Keywords: | Localization nonlinear waves |
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