TY - JOUR

T1 - Computational method for exact frequency-dependent rays on the basis of the solution of the Helmholtz equation

AU - Protasov, M.

AU - Gadylshin, K.

PY - 2017/7/1

Y1 - 2017/7/1

N2 - 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.

AB - 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.

KW - Numerical approximations and analysis

KW - Numerical solutions

KW - Wave propagation

UR - http://www.scopus.com/inward/record.url?scp=85037160051&partnerID=8YFLogxK

U2 - 10.1093/gji/ggx188

DO - 10.1093/gji/ggx188

M3 - Article

AN - SCOPUS:85037160051

VL - 210

SP - 525

EP - 533

JO - Geophysical Journal International

JF - Geophysical Journal International

SN - 0956-540X

IS - 1

ER -