On Gaussian Beams Described by Jacobi's Equation

DOI10.1137/130915996zbMath1315.53104arXiv1304.1931OpenAlexW3102683083MaRDI QIDQ5173243

Steven T. Smith

Publication date: 9 February 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.1931

zbMATH Keywords

Hamilton-Jacobi equationRiemannian curvatureGaussian curvatureGaussian beamJacobi's equationacoustic rayparaxial ray

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Hydro- and aero-acoustics (76Q05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Variational methods applied to problems in optics and electromagnetic theory (78M30) Geometric optics (78A05) Hamilton-Jacobi equations (35F21)

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