论文标题
第二次谐波转换效率的分析近似
Analytical Approximation of the Second-Harmonic Conversion Efficiency
论文作者
论文摘要
Boyd-Kleinman理论描述了非线性晶体内部聚焦激光束的第二次谐波生成过程。计算实际的转换效率和上流功率需要解决分析上棘手的双积分的解决方案。我们提供了一个表达式,该表达式可预测在几个几个数量级的共聚焦参数和散步参数的函数上,在误差范围内的确切增益系数不到2%。我们的结果允许轻松调整光束参数,以优化上转换过程的性能并改善光学系统设计。
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.