Steady State Electromagnetic Wave Propagation in Weakly Nonlinear Media

Ioseph Gurwich, Dan Censor

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


A theory of steady state nonlinear wa ve propagation is developed using a Volterra series formalism. Under the term “ steady state wave propagation” we imply a state in which wave parameters remain constant in the time and space-domain. Detailed consideration is given to a quadratic homogeneous medium. Conditions for the existence of such a state in static and dynamic meanings are investigated. It is shown that the main condition is a smallness of the total wave energy. Other necessary factors are medium dispersive properties and a correlation between nonlinearity and dispersion values. An estimate for high harmonics’ amplitudes ratio in a steady state is obtained for a case with a negligible small dispersion. But in such a case this state turns out to be unachievable in evolutionary processes. Sufficient closed form conditions for dispersive properties providing the dynamic achievability of a steady state are obtained.

Original languageEnglish
Pages (from-to)3192-3195
Number of pages4
JournalIEEE Transactions on Magnetics
Issue number5
StatePublished - 1 Jan 1994

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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