The initial-value problems in acoustics, elastodynamics and electromagnetics

DOI10.1016/0165-2125(95)00050-XzbMath0920.35157MaRDI QIDQ1278999

Adrianus T. de Hoop

Publication date: 28 February 1999

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

zbMATH Keywords

power flowfirst-order partial differential equationsarea densityinhomogeneous and anisotropic mediainitial-value problems for acoustic waves in fluids, elastic waves in solids and electromagnetic waves

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Hydro- and aero-acoustics (76Q05) Waves and radiation in optics and electromagnetic theory (78A40)

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A non-electromagnetic wavefield in affine \((N+1)\)-spacetime with covariance properties under a Lorentz-type of transformation ⋮ Closed-form analytic expressions for the pulsed-source radiated electromagnetic field in a class of media with time-varying wave speed ⋮ Lorentz-covariant electromagnetic fields in \((N+1)\)-spacetime -- an axiomatic approach to special relativity

Cites Work

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• A new look at 2-D time-domain elastodynamic Green's functions for general anisotropic solids
• The geometry of the hyperbolic system for an anisotropic perfectly elastic medium
• A modification of cagniard’s method for solving seismic pulse problems
• Transient Compressional Waves in an Infinite Elastic Plate or Elastic Layer Overlying a Rigid Half-Space
• Shear waves in finite elastic strain
• What is the Laplace Transform?

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