Diffraction by Plane Sectors and Polygons

Hanyga, Andrzej

doi:10.1007/978-3-0348-9213-1_7

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Hamiltonian Ray Tracing1

Introduction1

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2001

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Cited by 1 publication

(2 citation statements)

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“…Following Hanyga (1995, 1996a), we base the calculation of diffracted waves on an estimate of the excess traveltime T e = T D − T P representing the difference between the traveltimes T P and T D of the principal and diffracted waves. The excess traveltime vanishes at the shadow boundary θ =0 and is small in the shadow boundary layer.…”

Section: Hamiltonian Ray Tracingmentioning

confidence: 99%

See 1 more Smart Citation

A Hamiltonian approach to asymptotic seismic reflection and diffraction modelling

Hanyga¹,

Druzhinin

Dzhafarov³

et al. 2001

Geophysical Prospecting

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A model‐independent Hamiltonian formulation of paraxial and diffracted ray‐tracing equations is presented. It is applied to asymptotic Green's function computations. The medium can have an arbitrary number of interfaces, possibly intersecting at diffracting edges and vertices. Continuously varying model parameters and anisotropy are allowed. The algorithm for elastic waves, involving accuracy control and amplitude computation, is implemented in a platform‐independent object‐orientated C++ package. Numerical tests and modelling examples are presented.

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Section: Hamiltonian Ray Tracingmentioning

confidence: 99%

“…The paraxial approximation makes it possible to construct a sufficiently dense bundle of rays for almost no extra cost. It is in particular well suited for efficient computation of diffracted amplitudes (Bakker 1990; Sun 1994; Hanyga 1996a).…”

Section: Introductionmentioning

confidence: 99%