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A Numerical and Asymptotic Solution of Maxwell’s Equations for Nonlinear Optical Pulse Propagation

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Abstract

Recent interest in the development of all-optical switching devices and in the utilization of nonlinear optical fibers for long distance communication systems has lead to extensive research on the propagation of nonlinear optical pulses. A particularly important example is the optical soliton [1], whose propagation in nonlinear optical media is frequently modelled by the nonlinear Schrodinger (NLS) equation [1, 2]. While the NLS equation is an appropriate model for sufficiently wide pulses, some approximations implicit in this equation are no longer valid for narrow or high-powered pulses. To account for these types of pulses, the NLS equation has been extended to include higher-order linear and nonlinear dispersion, as well as effects due to Raman scattering [1, 2].

© 1993 Optical Society of America

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