Analytical Approximation of the Second-Harmonic Conversion Efficiency
- Resource Type
- Working Paper
- Authors
- Daniel, John R.; Tsai, Shan-Wen; Hemmerling, Boerge
- Source
- Subject
- Physics - Optics
Physics - Applied Physics
Physics - Atomic Physics
- Language
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.
Comment: 7 pages, 3 figures