On circularly-polarized nonlinear electromagnetic waves
Author:
M. M. Carroll
Journal:
Quart. Appl. Math. 25 (1967), 319-323
DOI:
https://doi.org/10.1090/qam/99887
MathSciNet review:
QAM99887
Full-text PDF Free Access
Abstract |
References |
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Abstract: An exact solution of the nonlinear electromagnetic equations for a conservative nondispersive isotropic centro-symmetric dielectric is obtained, which has an especially simple form, i.e., a harmonic, circularly-polarized plane progressive wave. The normal incidence of such a wave at a plane interface is considered and also the propagation of such waves in a transversely isotropic, uniformly magnetized material.
- R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391
- L. J. F. Broer, Exact solution of the reflexion problem in non-linear optics, Phys. Lett. 4 (1963), 65. MR 152263
- N. Bloembergen, Nonlinear optics, W. A. Benjamin, Inc., New York-Amsterdam, 1965. A lecture note and reprint volume. MR 0193880
- A. C. Pipkin and R. S. Rivlin, Galvanomagnetic and thermomagnetic effects in isotropic materials, J. Mathematical Phys. 1 (1960), 542–546. MR 116657, DOI https://doi.org/10.1063/1.1703691
M. M. Carroll and R. S. Rivlin, Quart. Appl. Math. 23, 365 (1966)
R. Courant and D. Hilbert, Methods of mathematical physics, Vol. II, Interscience, New York, 1962
L. J. F. Broer, Physics Letters 4, 65 (1963)
N. Bloembergen, Nonlinear optics, W. A. Benjamin Inc., New York, 1965
A. C. Pipkin and R. S. Rivlin, J. Math. Phys. 1, 542 (1960)
M. M. Carroll and R. S. Rivlin, Quart. Appl. Math. 23, 365 (1966)
Additional Information
Article copyright:
© Copyright 1967
American Mathematical Society
