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Effect of Finite Spectral Width on the Modulational Instability of Langmuir Waves described by a Nonlinear Schrödinger Equation
Author(s) -
Roy P. C.
Publication year - 1992
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.2150320207
Subject(s) - modulational instability , physics , monochromatic color , dispersion relation , monochromatic electromagnetic plane wave , spectral density , wavelength , spectral width , nonlinear schrödinger equation , quantum electrodynamics , gaussian , nonlinear system , computational physics , optics , quantum mechanics , mathematics , statistics
By using the two‐point space correlation function an equation for the power spectral density for a random Langmuir field has been derived. The dispersion relation for a monochromatic wave is regained for a delta spectrum. For a Gaussian spectrum, the maximum growth rate is less than that for a monochromatic wave. For a “meander spectrum”, the growth rate is increased with the width of the spectrum in the first stage then decreased for further increase of the width.