Ray Tracing in Elastic and Viscoelastic Media

Ray Tracing in Elastic and Viscoelastic Media
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弹性和粘弹性介质中的光线追踪

DOI：
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发表时间：
2000
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通讯作者：
M. Seredynska
M. Seredynska
中科院分区：
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文献类型：
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作者：
A. Hanyga;M. Seredynska

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摘要-我们考虑射线跟踪的几种扩展(均匀渐近、复射线、时空射线)，因为它们必须联合使用以处理聚焦和衰减。考虑了两种具有代表性的声波传播模型：弹性模型和粘弹性模型。讨论了用正则函数和Maslov积分从射线场参数一致渐近估计波场的基本思想。给出了色散和衰减介质的复空时射线追踪算法。比较了粘弹性介质中的两种衰减模型：(1)一般衰减/色散的复空时射线方法；(2)弱衰减的实射线方法。
Abstract—We consider several extensions of ray tracing (uniform asymptotics, complex rays, space-time rays) interrelated by the fact that they must be used jointly in order to deal with both focusing and attenuation. Two representative models of acoustic wave propagation are considered: elasticity and viscoelasticity. Basic ideas behind canonical functions and Maslov integrals for uniformly asymptotic evaluation of the wave field from ray field parameters are discussed. Complex space-time ray tracing algorithms for dispersive and attenuating media are presented. Two models of attenuation in a viscoelastic medium are compared: (1) complex space-time ray methods for general attenuation/dispersion, (2) real ray methods for weak attenuation.