Computational method for exact frequency-dependent rays on the basis of the solution of the Helmholtz equation

M. Protasov, K. Gadylshin

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

A numerical method is proposed for the calculation of exact frequency-dependent rays when the solution of the Helmholtz equation is known. The properties of frequency-dependent rays are analysed and compared with classical ray theory and with the method of finite-difference modelling for the first time. In this paper, we study the dependence of these rays on the frequency of signals and show the convergence of the exact rays to the classical rays with increasing frequency. A number of numerical experiments demonstrate the distinctive features of exact frequency-dependent rays, in particular, their ability to penetrate into shadow zones that are impenetrable for classical rays.

Original languageEnglish
Pages (from-to)525-533
Number of pages9
JournalGeophysical Journal International
Volume210
Issue number1
DOIs
Publication statusPublished - 1 Jul 2017

Keywords

  • Numerical approximations and analysis
  • Numerical solutions
  • Wave propagation

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