The Effects of Ripple Characteristics on the Simultaneous Relativistic-Ponderomotive Self-Focusing

Abstract

In this study the nonlinear dependences of simultaneous ponderomotive-relativistic self-focusing on the ripple characteristics including the initial width of the ripple, the phase difference between the electric fields of the main beam and the ripple, the amplitude of electric field, and the position of the ripple on the wave front of the beam are found. The intensity profile of the main beam is regarded as Gaussian profile and the ripple is assumed as ring ripple. All the results are verified by solving for the boundary equation of beam width and good agreement is obtained. The presented approach can be applied for other profiles of the main beam and also for other ripple shapes such as the Gaussian ripples.