Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation
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Publication:661484
DOI10.1016/j.wavemoti.2006.06.001zbMath1231.78005OpenAlexW2163030116MaRDI QIDQ661484
Publication date: 11 February 2012
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.wavemoti.2006.06.001
level set methodgeometrical opticsHamiltonian-preserving schemesreduced Liouville equationsnell's law of refraction
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Geometric optics (78A05)
Related Items (4)
A high order numerical method for computing physical observables in the semiclassical limit of the one-dimensional linear Schrödinger equation with discontinuous potentials ⋮ Computational high frequency waves through curved interfaces via the Liouville equation and geometric theory of diffraction ⋮ Grid adaptation and non-iterative defect correction for improved accuracy of numerical solutions of PDEs ⋮ A HAMILTONIAN-PRESERVING SCHEME FOR HIGH FREQUENCY ELASTIC WAVES IN HETEROGENEOUS MEDIA
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