scientific article

Vlastislav Cerveny, Ivan Psencik, M. M. Popov

Publication date: 1982

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

wave fields asymptotic procedure complete wave field at receiver continued independently through an arbitrary inhomogeneous structure integral superposition of all Gaussian beams parabolic wave equation method simulation of wave field by system of Gaussian beams two-dimensional laterally inhomogeneous media

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Random vibrations in dynamical problems in solid mechanics (74H50) Waves in solid mechanics (74J99)

Related Items (43)

Pulsed beam reflection and transmission at a planar interface: Exact solutions and local models ⋮ Convergence of frozen Gaussian approximation for high-frequency wave propagation ⋮ Numerical solutions for point-source high frequency Helmholtz equation through efficient time propagators for Schrödinger equation ⋮ A Coupled Finite Difference – Gaussian Beam Method for High Frequency Wave Propagation ⋮ Babich's expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies ⋮ Elastic Gaussian wave packets in isotropic media ⋮ Analytical ray tracing system: introducing \texttt{art}, a C-library designed for seismic applications ⋮ Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation ⋮ Fast multiscale Gaussian beam methods for wave equations in bounded convex domains ⋮ Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime ⋮ The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation ⋮ Cones of silence, complex rays and catastrophes: high-frequency flow–acoustic interaction effects ⋮ Array realization of complex-source beam ⋮ Seismic Tomography with Random Batch Gradient Reconstruction ⋮ A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals ⋮ Numerical geometric acoustics: an eikonal-based approach for modeling sound propagation in 3D environments ⋮ A fixed-point iteration method for high frequency vector wave equations ⋮ Gaussian beam decomposition of high frequency wave fields using expectation-maximization ⋮ Gaussian beam summation in shallow waveguides ⋮ Taylor expansion and discretization errors in Gaussian beam superposition ⋮ Coupling of Gaussian Beam and Finite Difference Solvers for Semiclassical Schrödinger Equations ⋮ Stochastic regularity of a quadratic observable of high-frequency waves ⋮ Fast Multiscale Gaussian Beam Method for Three-Dimensional Elastic Wave Equations in Bounded Domains ⋮ On caustics associated with horizontal rays and vertical modes ⋮ Target-Oriented Inversion of Time-Lapse Seismic Waveform Data ⋮ Translation operators based on Gaussian beams for the fast multipole method in two dimensions ⋮ Translation operator based on Gaussian beams for the fast multipole method in three dimensions ⋮ The Eulerian Gaussian beam method for high frequency wave propagation in the reduced momentum space ⋮ A wavefront-based Gaussian beam method for computing high frequency wave propagation problems ⋮ Local intrinsic modes: Layer with nonplanar interface ⋮ A frozen Gaussian approximation-based multi-level particle swarm optimization for seismic inversion ⋮ Eulerian Geometrical Optics and Fast Huygens Sweeping Methods for Three-Dimensional Time-Harmonic High-Frequency Maxwell's Equations in Inhomogeneous Media ⋮ Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime ⋮ Complex source pulsed beam representation of transient radiation ⋮ A multi-scale Gaussian beam parametrix for the wave equation: the Dirichlet boundary value problem ⋮ Exact complex source representations of time-harmonic radiation ⋮ Gaussian beam decomposition of high frequency wave fields ⋮ Summation of Gaussian beams in a surface waveguide ⋮ A new method of computation of wave fields using Gaussian beams ⋮ Unnamed Item ⋮ A fixed-point iteration method for high frequency Helmholtz equations ⋮ Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions ⋮ A Gaussian Beam Method for High Frequency Solution of Symmetric Hyperbolic Systems with Polarized Waves

This page was built for publication: