Waveguide propagation of laser beams in media with saturating non-linearity

Abstract

The waveguide propagation of Gaussian laser beams in dielectric media with saturating non-linearity has been investigated analytically, using two profiles for the dependence of the dielectric constant on intensity. An expression for the radius of the uniform wave-guide, corresponding to a given power of the beam, has been obtained and the existence of a minimum radius, corresponding to an optimum power, has been predicted. For high power laser beams, oscillatory waveguides have been obtained; for very high powers the oscillations of the radius of the waveguide are small.

Effects of self-focusing on the selfdistortion of amplitude modulated microwaves in non-parabolic semiconductors

“…The non-linear current density may now be written as Using Equations 2 and 4 for the initial intensity distribution and dielectric constant, the method of Akhmanov et al [3] and Tewari et al [7] has been adopted to solve the Maxwell's equations. The following expression has been obtained for the amplitude distribution inside the medium:…”

“…There could also be some reactive mechanisms which may promote the distortion of the modulated signal. In recent papers of Akhmanov et al [3], Sodha et al [4,5,8], Tewari et al [7] and Dawes and Margburger [6], a detailed discussion of the effect of reactive non-linearities on electromagnetic wave propagation may be found. A very important effect of these non-linearities is the selffocusing of waves.…”