Abstract

Recently, there has been much interest in using Gaussian beam methods to solve wave propagation problems in spatially inhomogeneous media. A new full-wave propagation technique, multiple Gaussian wave packets (MGWP), will be described, which combines some features of Gaussian beam methods and the split-step PE algorithm. Briefly, the MGWP technique consists of expanding the initial wave field at some starting range into a series of complex Gaussian wave packets and then allowing the wave packets to evolve with range. Each wave packet has the functional form of a Gaussian with complex parameters that control the phase-space distribution of the wave packet. The range evolution of the Gaussian parameters is governed by a Schrödinger equation and is exact for refrative index profiles that are quadratic. Comparisons of the MGWP method with a normal mode propagation model will be shown. [Work supported by NOSC IR.]

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