Abstract

A method for obtaining numerical solutions of the nonlinear eigenvalue problem ϵ ( e) e − λ ▿ × (▿ × e) = 0 is described. The nonlinearity is due to the ponderomotive force exerted by the wave on a plasma, which modifies the densities. A centred finite-difference scheme is used, which avoids spectra pollution. Starting from the linear, small amplitude solution, a predictor-corrector method allows one to reach solutions of increasing amplitude.

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