A depleted and numerical model for pulsed Gaussian wave type II second harmonic generation

TL;DR

This paper develops a 3D nonlinear wave model to simulate pulsed Gaussian second harmonic generation in KTP crystals, analyzing how pulse energy and beam size affect conversion efficiency.

Contribution

It introduces a numerical 3D spatio-temporal model for type II SHG with depletion in KTP crystals, which is novel in capturing detailed wave interactions.

Findings

SHG efficiency increases with pulse energy and interaction length.

SHW maintains Gaussian profile similar to FW.

Model accurately predicts energy conversion dynamics.

Abstract

This paper presents a three-dimensional (3-D) and spatio-temporal dependent nonlinear wave model to explain the generation of pulsed Gaussian Second Harmonic Waves (SHW). We solve numerically three coupled equations describing the type II Second Harmonic Generation (SHG) in cylindrical KTP crystals under the assumption of fundamental waves depletion, two for ordinary and one for extraordinary Fundamental Waves (FW). The results are attained by a homemade code written in FORTRAN. The results depict the efficiency of the SHG process with the conversion of FW energy to SHW energy, while SHW keeps the same Gaussian profile as FW. Furthermore, the results examine the effect of pulse energy, beam spot size, and therefore interaction length on SHW efficiency.