Electrodynamics as a problem of eigenvalues. I. Maxwell operator and its properties. Momentum-energy tensor

Journal Article · Mon Jan 01 04:00:00 EST 1996 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.871815· OSTI ID:253497

Yudin, L A; Efimov, S P; Kapchinsky, M I; Korenev, I L ^[1]

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1. Moscow Radio Technical Institute, Varshavskoye shosse 132, Moscow, 113519 (Russia)

A new method of formulation of problems in macroscopic electrodynamics is proposed. Maxwell equations are written in the abstract-operator form. A solution to the formal problem of eigenvalues and eigenfunctions of the introduced Maxwell operator allows us to use the well-developed mathematical technique of linear operator theory for various electrodynamical problems. In particular, calculation of the momentum-energy tensor, wave generation, perturbation theory, and variational approach can be applied for electrodynamical systems (cavities, waveguides, free space) filled with media of arbitrary dispersion. In the first part of the paper we deal with a formal foundation of the method and calculation of the momentum-energy tensor. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 253497
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 1 Vol. 3; ISSN 1070-664X; ISSN PHPAEN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DISPERSION RELATIONS
EIGENFUNCTIONS
EIGENVALUES
ELECTRODYNAMICS
ENERGY-MOMENTUM TENSOR
MATHEMATICAL OPERATORS
MAXWELL EQUATIONS
VARIATIONAL METHODS
WAVEGUIDES