Exact solutions of the three-dimensional scalar wave equation and Maxwell's equations from the approximate solutions in the wave zone through the use of the Radon transform

DOI10.1098/RSPA.1989.0034zbMath0692.35060OpenAlexW1970914490MaRDI QIDQ3034177

H. E. Moses, Reese T. Prosser

Publication date: 1989

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1989.0034

zbMATH Keywords

asymptotic solutionsMaxwell's equationsacoustic equationRiemann functions

Mathematics Subject Classification ID

Wave equation (35L05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)

Related Items (1)

The general solution of the three-dimensional acoustic equation and of Maxwell’s equations in the infinite domain in terms of the asymptotic solution in the wave zone

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