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This problem is also important and valuable in Nonlinear Optics. It will be very helpful to understand how the aberrations affect the course of three- wave mixing, such as the change of conversion efficiency, the distribution of intensity and phase.Small signal solution of aberrated second harmonic generation is deduced from three-dimension three wave coupling functions. The numerical work gives out lot of results of different aberrations. The effects of the fundamental waves aberrations, which will change the conversion efficiency, distribution of intensity and phase in the frequency conversion, is analyzed. It shows that when walk-off and diffraction effects could be ignored approximately estimation of the phase distribution of second-harmonic wave could be done. The far field divergent angle and second moment radius of harmonic wave will vary with the aberration of fundamental wave, but the far field divergent angle will be obviously smaller than that of fundamental wave. The phase distribution of both fundamental and harmonic wave is measured using Hartmann-Shack wave front sensor in the experiment with 1064nm and 790nm lasers, respectively. Results are given.

首次从三维三波相互作用方程组推导得到了位相畸变光束倍频的小信号解;通过建立国防科学技术人学研究生院学位论文三维数值模型,编写相应仿真程序,首次得到了位相畸变光束倍频过程的大量计算结果,深入细致地研究了位相畸变光束经非线性光学频率变换后谐波的转换效率、光强分布、位相分布以及影响它们的各种因素;得出谐波的远场发散角和光斑二阶矩的变化规律会因为基波像差的不同而不同,但谐波的远场发散角明显地比相应基波的小的结论;得到了在走离效应和衍射效应等影响许多因素可以忽略的情况下,位相畸变传递到二次谐波的估算式;举例分析了KDP三倍频方案中,基波位相畸变对二次谐波和三次谐波的影响;实验工作中,用哈特曼一夏克传感器分别对IO64nm倍频过程和790飞秒超短脉冲倍频过程中的基波和谐波的位相分布进行了测量,给出了相应结果。

Small signal solution of aberrated second harmonic generation is deduced from three-dimension three wave coupling functions. The numerical work gives out lot of results of different aberrations. The effects of the fundamental wave's aberrations, which will change the conversion efficiency, distribution of intensity and phase in the frequency conversion, is analyzed. It shows that when walk-off and diffraction effects could be ignored approximately estimation of the phase distribution of second-harmonic wave could be done. The far field divergent angle and second moment radius of harmonic wave will vary with the aberration of fundamental wave, but the far field divergent angle will be obviously smaller than that of fundamental wave. The phase distribution of both fundamental and harmonic wave is measured using Hartmann-Shack wave front sensor in the experiment with 1064nm and 790nm lasers, respectively. Results are given.

首次从三维三波相互作用方程组推导得到了位相畸变光束倍频的小信号解;通过建立三维数值模型,编写相应仿真程序,首次得到了位相畸变光束倍频过程的大量计算结果,深入细致地研究了位相畸变光束经非线性光学频率变换后谐波的转换效率、光强分布、位相分布以及影响它们的各种因素;得出谐波的远场发散角和光斑二阶矩的变化规律会因为基波像差的不同而不同,但谐波的远场发散角明显地比相应基波的小的结论;得到了在走离效应和衍射效应等影响许多因素可以忽略的情况下,位相畸变传递到二次谐波的估算式;举例分析了KDP三倍频方案中,基波位相畸变对二次谐波和三次谐波的影响;实验工作中,用哈特曼-夏克传感器分别对1064nm倍频过程和790飞秒超短脉冲倍频过程中的基波和谐波的位相分布进行了测量,给出了相应结果。

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