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Theory of modulational instability in periodic media with a Kerr nonlinearity

C. Martijn de Sterke

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Abstract

Modulational instability in periodic media with a Kerr nonlinearity is investigated using coupled mode theory. In the presence of anomalous dispersion, the standard nonlinear Schroedinger results are obtained at low powers, though at higher powers deviations from this well-known behavior occur. For normal dispersion an instability with a finite threshold is found. This instability has no equivalent in the nonlinear Schroedinger equation.

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What this paper is about

Modulational instability in periodic media with a Kerr nonlinearity is investigated using coupled mode theory. In the presence of anomalous dispersion, the standard nonlinear Schroedinger results are obtained at low powers, though at higher powers deviations from this well-known behavior occur. For normal dispersion an instability with a finite threshold is found. This instability has no equivalent in the nonlinear Schroedinger equation.

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Available abstract

Modulational instability in periodic media with a Kerr nonlinearity is investigated using coupled mode theory. In the presence of anomalous dispersion, the standard nonlinear Schroedinger results are obtained at low powers, though at higher powers deviations from this well-known behavior occur. For normal dispersion an instability with a finite threshold is found. This instability has no equivalent in the nonlinear Schroedinger equation.

Key concepts: Modulational instability, Instability, Physics, Nonlinear Schrödinger equation, Dispersion (optics), Nonlinear system, Quantum electrodynamics, Quantum mechanics

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