Spectra of discontinuous noise waves

Abstract

The article considers the problem of the transformation of the energy spectrum of an intense random wave in a nonlinear, nondisperse medium. It is assumed that at the inlet to the nonlinear medium there is given a random quasimonochromatic wave, and an investigation is made of the spectrum of a nonlinear wave at distances where the original continuous wave goes over into a sequence of sawtooth pulses with a random position of the discontinuity and with random amplitudes. In the work, an investigation was made of the dependence of the spectral characteristics of discontinuous noise waves on the statistics of the amplitude and phase of the input quasimonochromatic wave. The form of the spectrum of the wave is found at low frequencies, which appear due to the effect of the autodetection of the quasimonochromatic wave in a nonlinear medium. The effect of the viscosity of the medium on the form of the energy spectrum is also discussed.