Accession Number : AD0758911
Title : Harmonic Generation in an Electromagnetic Wave.
Descriptive Note : Contract rept.,
Corporate Author : LEHIGH UNIV BETHLEHEM PA CENTER FOR THE APPLICATION OF MATHEMATICS
Personal Author(s) : Venkataraman,R. ; Rivlin,R. S.
Report Date : FEB 1973
Pagination or Media Count : 35
Abstract : ION, HARMONIC ANALYSIS), DIELECTRICS, FOURIER ANALYSIS, SERIES(MATHEMATICS), APPROXIMATION(MATHEMATICS), POLARIZATIONMAXWELLS EQUATIONS, PLANE WAVES, POLARIZED ELECTROMAGNETIC RADIATION, THEMIS PROJECTA plane electromagnetic wave is propagated in a non-linear non-dissipative isotropic dielectric. A method is given for the calculation of the change in the amplitudes and phases of harmonics of all orders, as the wave progresses, for any specified dependence of the dielectric constant on the magnitude of the electric field and for any initial wave form. The calculations are valid provided the distance of travel is sufficiently small that shocks are not formed. The formulae for the amplitudes and phases of the various harmonics take a particularly simple form when the initial wave-form is sinusoidal and the non-linearity of the dielectric is not too great. (Author Modified Abstract)
Descriptors : (*ELECTROMAGNETIC RADIATION, HARMONIC ANALYSIS), DIELECTRICS, FOURIER ANALYSIS, SERIES(MATHEMATICS), APPROXIMATION(MATHEMATICS), POLARIZATION
Subject Categories : Optics
Radiofrequency Wave Propagation
Distribution Statement : APPROVED FOR PUBLIC RELEASE