A theory of steady state nonlinear wave propagation is discussed. Here "steady state" implies that wave parameters remain invariant in time and space domains. Conditions for the existence of such a state are analyzed. A detailed discussion is given for a quadratic homogeneous medium. The necessary conditions providing a steady state, and concerning medium properties and wave amplitudes, are derived in closed form for a quadratic dispersive medium. It is shown that a steady state may be achieved for small amplitude waves where a certain relation between the input amplitude and the medium dispersive and nonlinear properties is satisfied. The case of very weak dispersion is discussed separately.
|Number of pages||25|
|Journal||Journal of Electromagnetic Waves and Applications|
|State||Published - 1 Jan 1995|
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy (all)
- Electrical and Electronic Engineering