Analytical Approximation of the Second-Harmonic Conversion Efficiency
Optics
2020-10-28 v1 Applied Physics
Atomic Physics
Abstract
The second-harmonic generation process of a focused laser beam inside a nonlinear crystal is described by the Boyd-Kleinman theory. Calculating the actual conversion efficiency and upconverted power requires the solution of a double integral that is analytically intractable. We provide an expression that predicts the exact gain coefficient within an error margin of less than 2% over several orders of magnitude of the confocal parameter and as a function of the walk-off parameter. Our result allows for readily tuning the beam parameters to optimize the performance of the upconversion process and improve optical system designs.
Keywords
Cite
@article{arxiv.2009.08430,
title = {Analytical Approximation of the Second-Harmonic Conversion Efficiency},
author = {John R. Daniel and Shan-Wen Tsai and Boerge Hemmerling},
journal= {arXiv preprint arXiv:2009.08430},
year = {2020}
}
Comments
7 pages, 3 figures