Abstract

We study a scattering-assisted second harmonic generation process of a structured fundamental wave, whose phase front is periodically modulated, in a homogenous nonlinear medium. Scattering-assisted multiple-conical second harmonic in a one-dimensional structured fundamental wave and second harmonic belts in two-dimensional cases were observed. The experimental results are consistent with our analysis. This method not only allows dynamic control of the scattering-assisted second harmonic signal, but also has potential applications in various nonlinear frequency conversion processes.

Highlights

  • Scattering phenomenon has been extensively investigated in nature

  • Not limited in linear optics, such scattering phenomenon has been reported in processes of nonlinear frequency conversion [1,2,3,4,5,6], in which the nonlinear signal is enhanced because of the phase matching of the incident and scattered light in some special directions

  • The quasi-phase matching(QPM) method allows to phase match a nonlinear process in the transparency range of the nonlinear photonic crystals (NPCs) by spatially modulating its nonlinear coefficient

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Summary

Introduction

Scattering phenomenon has been extensively investigated in nature. In general, scattering of light could be a detrimental effect in some fields, such as optical communication and imaging system, but it could be beneficial in others. Since QPM proposed by Bloembergen et al in 1962 [7], plenty of phase-matching geometries by diverse types of one- and two-dimensional NPCs, including square, hexagonal lattices, annular periodical, or even random structures [8,9,10,11,12] have been studied Such special designed NPCs provide a method to enhance the conversion efficiency of the nonlinear signal, and provide a platform to shape the light beam in nonlinear manner [13,14,15,16,17,18,19]. When transverse phase periodical modulated FW propagates along a homogenous second order nonlinear medium, scattering-assisted multiple-conical SH can be observed This method provides a way to manipulate the scattering-assisted SH signal in real time and has potential applications in various nonlinear frequency conversion processes

The theoretical analysis
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