Second harmonic generation optimization under limited power density of fundamental radiation. Part 1
V.O. Troitskii
V.E. Zuev Institute of Atmospheric Optics of Siberian Branch of the Russian Academy of Science, Tomsk, Russia
Keywords: second harmonic generation, solution to a set of nonlinear equations, preset field approximation, optimization of focusing and wave detuning parameter
Abstract
The process of second harmonic generation (SHG) of laser radiation in a BBO crystal is theoretically studied with the aim of determining optimal values of focusing and wave detuning parameters providing maximal SHG efficiency. This optimization problem is solved under an additional condition, that is, the maximal radiation power density should not exceed an a priori specified value. No restrictions are posed on the radiation power. The study consists of two parts. In the first part (this work), the influence of this additional condition on the process and results of solution of the optimization problem is studied with the use of the preset field approximation. Due to the additional condition, optimal focusing and wave detuning parameters become dependent on the radiation power, but the algorithm of solution of the problem becomes noticeably simpler, which allows the computation time to be significantly reduced, by about an order of magnitude.
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