Asymptotic wave-splitting in anisotropic linear acoustics

DOI10.1016/j.wavemoti.2009.11.005zbMath1231.76272arXiv0908.1507OpenAlexW2077984211MaRDI QIDQ661803

Martin Norgren, B. Lars G. Jonsson

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1507

zbMATH Keywords

anisotropyalgebraic Riccati operator equationacousticsplitting matrixacoustic-admittance mapdirectional wave-field decompositionpseudodifferential operators with parametersystem's matrixwave-splitting

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) PDEs in connection with fluid mechanics (35Q35) Hydro- and aero-acoustics (76Q05)

Related Items

Bremmer series for the multimodal sound propagation in inhomogeneous waveguides

Cites Work

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• Seismic inverse scattering in the downward continuation approach
• Elastic wave up/down decomposition in inhomogeneous and anisotropic media: An operator approach and its approximations
• One-way propagation in electromagnetic materials
• \(T\)- and \(D\)-matrix methods for electromagnetic scattering by impedance obstacles
• Wave splitting of Maxwell's equations with anisotropic heterogeneous constitutive relations
• Invariant imbedding for the wave equation in three dimensions and the applications to the direct and inverse problems
• A Fast Method for Linear Waves Based on Geometrical Optics
• Matrix Analysis
• Direct and inverse scattering in the time domain for a dissipative wave equation. I. Scattering operators
• Radiation boundary conditions for acoustic and elastic wave calculations
• Time-domain wave splitting of Maxwell’s equations
• Generalized-Screen Approximation and Algorithm for the Scattering of Elastic Waves
• True amplitude wave equation migration arising from true amplitude one-way wave equations
• The Bremmer series for a multi-dimensional acoustic scattering problem
• Uniform Asymptotic Expansion of the Generalized Bremmer Series
• Retrofocusing of Acoustic Wave Fields by Iterated Time Reversal
• Wave front layer stripping approach to inverse scattering for the wave equation
• Generalization of the Bremmer coupling series
• A method for inverse scattering based on the generalized Bremmer coupling series
• Wave field decomposition in anisotropic fluids: a spectral theory approach
• Transient electromagnetic wave propagation in laterally discontinuous, dispersive media.