A uniform asymptotic analysis of dispersive wave motion across a space- time shadow boundary

DOI10.1016/0165-2125(82)90004-XzbMath0521.73022MaRDI QIDQ1055228

Warren B. Gordon

Publication date: 1982

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

zbMATH Keywords

spatially varying coefficientsacross space-time shadow boundaryamplitude modulated high frequency signaling dataformal uniformly valid asymptotic expansion of solutionFresnel functionone dimensional Klein-Gordon equationshadow regionstwo families of raystwo successive Bessel functions of integer order

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (1)

Moshinsky's shutter problem: an initial-value problem for the Klein–Gordon equation

Cites Work

• A uniform asymptotic analysis of dispersive wave motion
• Asymptotic theory of wave-propagation
• One-Dimensional Impact Waves in Inhomogeneous Elastic Media
• The Impact Problem for the Klein-Gordon Equation
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