Calculation of exact frequency-dependent rays when the solution of the Helmholtz equation is known
DOI:
https://doi.org/10.26089/NumMet.v16r455Keywords:
Helmholtz equation, exact frequency-dependent rays, ray theory, numerical methodsAbstract
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 analyzed and compared with the classical ray theory and with the method of finite-difference modeling for the first time. In this paper we study the dependence of these rays on the frequency of probing 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 impenetrable for the classical rays.
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Published
14-10-2015
How to Cite
Гадыльшин К., Протасов М. Calculation of Exact Frequency-Dependent Rays When the Solution of the Helmholtz Equation Is Known // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2015. 16. 586-594. doi 10.26089/NumMet.v16r455
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Section
Section 1. Numerical methods and applications