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Analytical Approximation of the Second-Harmonic Conversion Efficiency

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posted on 2023-11-30, 20:35 authored by John R. Daniel, Shan-Wen Tsai, Boerge Hemmerling
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.

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