Eikonal Equation for Moving Media and Its Relation to Dynamic Programming

J. J. Brandstatter; D. Censor

doi:10.1109/PROC.1974.9430

Eikonal Equation for Moving Media and Its Relation to Dynamic Programming

J. J. Brandstatter, D. Censor

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The eikonal equation for moving media (first order in V/c) is derived for the electromagnetic case. Maxwell's equations with Minkowski's constitutive relations, and the dynamic programming approach, lead to essentially the same result. The acoustical eikonal equation for moving media is derived by means of the dynamic programming method. A result obtained by Kritikos, believed to be wrong, is shown to be valid as an approximation.

Original language	English
Pages (from-to)	400-401
Number of pages	2
Journal	Proceedings of the IEEE
Volume	62
Issue number	3
DOIs	https://doi.org/10.1109/PROC.1974.9430
State	Published - 1 Jan 1974
Externally published	Yes

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/PROC.1974.9430

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abstract = "The eikonal equation for moving media (first order in V/c) is derived for the electromagnetic case. Maxwell's equations with Minkowski's constitutive relations, and the dynamic programming approach, lead to essentially the same result. The acoustical eikonal equation for moving media is derived by means of the dynamic programming method. A result obtained by Kritikos, believed to be wrong, is shown to be valid as an approximation.",

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AB - The eikonal equation for moving media (first order in V/c) is derived for the electromagnetic case. Maxwell's equations with Minkowski's constitutive relations, and the dynamic programming approach, lead to essentially the same result. The acoustical eikonal equation for moving media is derived by means of the dynamic programming method. A result obtained by Kritikos, believed to be wrong, is shown to be valid as an approximation.

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Eikonal Equation for Moving Media and Its Relation to Dynamic Programming

Abstract

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