Lagrangian formalism and conservation laws for electrodynamics in nonlinear elastic dielectrics
Abstract
For the continuum theory of electromagnetic fields in interaction with an elastic dielectric medium a new Lagrangian formalism is developed. The medium may be arbitrarily nonlinear and anisotropic, but in order to have conservation of quasimomentum it has to be homogeneous. For simplicity, the frequencies of the excitations are assumed to be such that dispersion can be neglected, but it is indicated how it can be taken into account. Directly from the Lagrangian equations of motion and alternatively by means of Noether's theorem the general conservation laws for energy, momentum, and quasimomentum are derived. They are formulated in both local (Eulerian) and material (Lagrangian) coordinate systems. Special attention is given to quasimomentum. 22 refs.
- Authors:
-
- Universitaet Zuerich (Switzerland)
- Publication Date:
- OSTI Identifier:
- 6655527
- Resource Type:
- Journal Article
- Journal Name:
- Annals of Physics (New York); (United States)
- Additional Journal Information:
- Journal Volume: 220:1; Journal ID: ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; DIELECTRIC MATERIALS; ELECTRODYNAMICS; CONSERVATION LAWS; LAGRANGE EQUATIONS; ELECTROMAGNETIC FIELDS; ENERGY CONSERVATION; EQUATIONS OF MOTION; MATRICES; PARTIAL DIFFERENTIAL EQUATIONS; DIFFERENTIAL EQUATIONS; EQUATIONS; MATERIALS; 661100* - Classical & Quantum Mechanics- (1992-); 661300 - Other Aspects of Physical Science- (1992-); 990200 - Mathematics & Computers
Citation Formats
Schoeller, H, and Thellung, A. Lagrangian formalism and conservation laws for electrodynamics in nonlinear elastic dielectrics. United States: N. p., 1992.
Web. doi:10.1016/0003-4916(92)90324-F.
Schoeller, H, & Thellung, A. Lagrangian formalism and conservation laws for electrodynamics in nonlinear elastic dielectrics. United States. https://doi.org/10.1016/0003-4916(92)90324-F
Schoeller, H, and Thellung, A. 1992.
"Lagrangian formalism and conservation laws for electrodynamics in nonlinear elastic dielectrics". United States. https://doi.org/10.1016/0003-4916(92)90324-F.
@article{osti_6655527,
title = {Lagrangian formalism and conservation laws for electrodynamics in nonlinear elastic dielectrics},
author = {Schoeller, H and Thellung, A},
abstractNote = {For the continuum theory of electromagnetic fields in interaction with an elastic dielectric medium a new Lagrangian formalism is developed. The medium may be arbitrarily nonlinear and anisotropic, but in order to have conservation of quasimomentum it has to be homogeneous. For simplicity, the frequencies of the excitations are assumed to be such that dispersion can be neglected, but it is indicated how it can be taken into account. Directly from the Lagrangian equations of motion and alternatively by means of Noether's theorem the general conservation laws for energy, momentum, and quasimomentum are derived. They are formulated in both local (Eulerian) and material (Lagrangian) coordinate systems. Special attention is given to quasimomentum. 22 refs.},
doi = {10.1016/0003-4916(92)90324-F},
url = {https://www.osti.gov/biblio/6655527},
journal = {Annals of Physics (New York); (United States)},
issn = {0003-4916},
number = ,
volume = 220:1,
place = {United States},
year = {Sun Nov 15 00:00:00 EST 1992},
month = {Sun Nov 15 00:00:00 EST 1992}
}