Abstract

Resonant third harmonic generation of super-Gaussian laser beam in rippled density plasma is studied. Both the relativistic and ponderomotive nonlinearities are included in the analysis, and the study is done for self-guided laser beam. The quasi-static component of ponderomotive force creates electron density depression in the beam region while the second harmonic component leads to second harmonic density oscillations, leading to third harmonic generation. The relativistic mass variation supplements these processes with same order of contributions. The ripple provides the phase matching and requisite ripple wave number decreases with the frequency of the laser.

Highlights

  • Introduction and motivationThe generation of harmonics by the interaction of intense short pulse laser with plasma is a topic of continued interest because of its potential for producing coherent ultraviolet radiation to X-ray pulses [1,2,3,4,5,6]

  • Keeping in mind all these points, we study in the present work a resonant third harmonic generation of superGaussian laser beam in a rippled density plasma on

  • The depressed electron density channel created by a superGaussian laser beam facilitates self-guiding of the beam

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Summary

Introduction

Introduction and motivationThe generation of harmonics by the interaction of intense short pulse laser with plasma is a topic of continued interest because of its potential for producing coherent ultraviolet radiation to X-ray pulses [1,2,3,4,5,6]. Keywords Third harmonic generation · Super-Gaussian beams · Self guided beams · Density ripples · Phase matching Liu and Tripathi [13] developed an analytical theory for third harmonic generation of a plane uniform laser beam in a plasma density ripple. The self-focusing of Gaussian laser beam has been found to enhance the efficiency in third harmonic generation [16].

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