Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation
type: Item
instance of: scholarly article
title: Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation
zbMATH Open document ID: 1231.78005
author: Xin Wen
author: Shi Jin
published in: Wave Motion
publication date: 2012-02-11T00:00:00Z
Mathematics Subject Classification ID: 78A05
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 6005210
zbMATH Keywords: geometrical optics
zbMATH Keywords: reduced Liouville equation
zbMATH Keywords: level set method
zbMATH Keywords: Hamiltonian-preserving schemes
zbMATH Keywords: snell's law of refraction
MaRDI profile type: Publication
full work available at URL: j.wavemoti.2006.06.001
OpenAlex ID: W2163030116
cites work: Transport theory for acoustic waves with reflection and transmission at interfaces.
cites work: Big ray tracing: Multivalued travel time field computation using viscosity solutions of the eikonal equation
cites work: Direct computation of multivalued phase space solutions for Hamilton-Jacobi equations
cites work: An introduction to Eulerian geometrical optics (1992--2002)
cites work: An Eulerian method for capturing caustics
cites work: Motion of curves in three spatial dimensions using a level set approach
cites work: Q4659247
cites work: Computational high-frequency wave propagation using the level set method with applications to the semi-classical limit of Schrödinger equations
cites work: An accurate spectral/discontinuous finite-element formulation of a phase-space-based level set approach to geometrical optics
cites work: Multi-phase computations in geometrical optics
cites work: Q4247528
cites work: Computational high frequency wave propagation
cites work: High-frequency wave propagation by the segment projection method
cites work: Numerical solution of the high frequency asymptotic expansion for the scalar wave equation
cites work: Fast-phase space computation of multiple arrivals
cites work: Using \(K\)-branch entropy solutions for multivalued geometric optics computations
cites work: Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. II: Impurities, confinement and Bloch oscillations
cites work: TWO MOMENT SYSTEMS FOR COMPUTING MULTIPHASE SEMICLASSICAL LIMITS OF THE SCHRÖDINGER EQUATION
cites work: A HAMILTONIAN-PRESERVING SCHEME FOR HIGH FREQUENCY ELASTIC WAVES IN HETEROGENEOUS MEDIA
cites work: Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation
cites work: Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems
cites work: A level set method for the computation of multivalued solutions to quasi-linear hyperbolic PDEs and Hamilton-Jacobi equations
cites work: Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials
cites work: Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds
cites work: A Hamiltonian‐Preserving Scheme for the Liouville Equation of Geometrical Optics with Partial Transmissions and Reflections
cites work: Convergence of an Immersed Interface Upwind Scheme for Linear Advection Equations with Piecewise Constant Coefficients II: Some Related Binomial Coefficients Inequalities
cites work: A level set method for three-dimensional paraxial geometrical optics with multiple point sources
cites work: A study of numerical methods for hyperbolic conservation laws with stiff source terms
cites work: Refraction of high-frequency waves density by sharp interfaces and semiclassical measures at the boundary
cites work: Geometric optics in a phase-space-based level set and Eulerian framework
cites work: On positivity preserving finite volume schemes for Euler equations
cites work: A kinetic scheme for the Saint-Venant system with a source term
cites work: A level set-based Eulerian approach for anisotropic wave propagation
cites work: Some new results in multiphase geometrical optics
cites work: Q4385684
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes
cites work: A slowness matching Eulerian method for multivalued solutions of eikonal equations
cites work: High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
DOI: 10.1016/J.WAVEMOTI.2006.06.001
description: scientific article; zbMATH DE number 6005210