Derivation of the vectorial wave equation from a variational point of view

T.M. Jørgensen

doi:10.1364/JOSAA.8.000750

Derivation of the vectorial wave equation from a variational point of view

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Abstract

The electromagnetic field in a linear, inhomogeneous, isotropic, and nonmagnetic dielectric is considered. It is shown that the vectorial wave equation for the electric field can apparently be derived on the basis of a principle of minimum divergence of the field. It is argued that this principle is preferable to the recently suggested method of obtaining the scalar wave equation by a principle of minimum Fisher information.

Original language	English
Journal	Optical Society of America. Journal A: Optics, Image Science, and Vision
Volume	8
Issue number	5
Pages (from-to)	750-754
ISSN	1084-7529
DOIs	https://doi.org/10.1364/JOSAA.8.000750
Publication status	Published - 1991

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title = "Derivation of the vectorial wave equation from a variational point of view",

abstract = "The electromagnetic field in a linear, inhomogeneous, isotropic, and nonmagnetic dielectric is considered. It is shown that the vectorial wave equation for the electric field can apparently be derived on the basis of a principle of minimum divergence of the field. It is argued that this principle is preferable to the recently suggested method of obtaining the scalar wave equation by a principle of minimum Fisher information.",

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AU - Jørgensen, T.M.

PY - 1991

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N2 - The electromagnetic field in a linear, inhomogeneous, isotropic, and nonmagnetic dielectric is considered. It is shown that the vectorial wave equation for the electric field can apparently be derived on the basis of a principle of minimum divergence of the field. It is argued that this principle is preferable to the recently suggested method of obtaining the scalar wave equation by a principle of minimum Fisher information.

AB - The electromagnetic field in a linear, inhomogeneous, isotropic, and nonmagnetic dielectric is considered. It is shown that the vectorial wave equation for the electric field can apparently be derived on the basis of a principle of minimum divergence of the field. It is argued that this principle is preferable to the recently suggested method of obtaining the scalar wave equation by a principle of minimum Fisher information.

KW - Optik og fluid dynamik

U2 - 10.1364/JOSAA.8.000750

DO - 10.1364/JOSAA.8.000750

M3 - Journal article

SN - 1084-7529

VL - 8

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EP - 754

JO - Optical Society of America. Journal A: Optics, Image Science, and Vision

JF - Optical Society of America. Journal A: Optics, Image Science, and Vision

IS - 5

ER -

Derivation of the vectorial wave equation from a variational point of view

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