COMPUTATION OF HIGH FREQUENCY FIELDS NEAR CAUSTICS

DOI10.1142/S0218202501000842zbMath1012.78008OpenAlexW2056157082MaRDI QIDQ4798861

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Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202501000842

zbMATH Keywords

geometric opticscausticuniform expansions

Mathematics Subject Classification ID

Related Items (3)

A geometrical optics-based numerical method for high frequency electromagnetic fields computations near fold caustics. I ⋮ Using \(K\)-branch entropy solutions for multivalued geometric optics computations ⋮ On the System of Hamilton–Jacobi and Transport Equations Arising in Geometrical Optics

Cites Work

• Quasiclassical approximation in stationary scattering problems
• Longitudinal caustic scale and boundaries of applicability of uniform Airy-asymptotics
• Big ray tracing: Multivalued travel time field computation using viscosity solutions of the eikonal equation
• Numerical solution of the high frequency asymptotic expansion for the scalar wave equation
• Boundary layer problems in diffraction theory
• Asymptotic Expansion of the Pearcey Integral Near the Caustic
• Oscillatory integrals, lagrange immersions and unfolding of singularities
• The high‐frequency asymptotic field of a point source in an inhomogeneous medium
• High-frequency refraction and diffraction in general media
• Remarks on a paper of D. Ludwig

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