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- W185635867 abstract "Gaussian wave packets are high frequency, asymptotic solutions to the equations of elastodynamics. They can be used, for example, to model pulse propagation in complex materials with smoothly varying properties and sharp surfaces of material discontinuity. The fundamental departure from the usual geometrical optics development is that the phase function is assumed to be complex valued. This has important consequences for the behaviour of the solution in the neighbourhood of the unique central ray. For example, if the initial disturbance is in the shape of a gaussian envelope, the propagated pulse remains gaussian. Nonlinear effects are taken into account by assuming the strains remain small, so that weakly nonlinear wave theory can be used. A nonlinear phase modulation equation is derived; and solved for an initial disturbance corresponding to an acceleration wave. This example illustrates that one can obtain a much richer theory through the use of complex phase." @default.
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- W185635867 date "1989-01-01" @default.
- W185635867 modified "2023-09-27" @default.
- W185635867 title "Gaussian Wave Packets in Linear and Nonlinear Anisotropic Elastic Solids" @default.
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- W185635867 doi "https://doi.org/10.1016/b978-0-444-87272-2.50079-8" @default.
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