二次相位采样问题的等效输入场算法
Equivalent source algorithm for secondary phase factor sampling problem
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摘要: 分析了采样定理与二次相位采样问题的关系；基于菲涅耳衍射公式，推导了离焦位置光场的计算方法，避免聚焦计算中遇到的二次相位采样问题。提出了等效输入场算法思想，将聚焦过程中遇到的插入元件等效为对源场的调制，从而不需要计算插入位置的光场，解决在离焦位置有任意多个相位板的传输计算中的二次相位采样问题。将由等效输入场算法得到的输出光强与由基于菲涅耳积分公式的光场解析式计算得到的光强进行对比,在0~100 mm范围内的各离焦位置,两者相对误差小于1013,从而证实了等效输入场算法的正确性。Abstract: The relation of sampling principle to secondary phase sampling problem is analyzed. Based on Fresnel diffraction principle, the computation method for non-focal position is deduced, a new method, the equivalent source field method, is proposed to rebuild the source field to reflect the phase board encountered by the propagating field. As a results, phase boards as many as possible could be inserted into the transmitting path of the field with second phase factor, and still the accurate output field could be got. Comparing the out field intensity obtained by the equivalent source field method with using the light field analysis formula based on the Fresnel diffraction principle, the result shows that within 100 mm defocus distance, the relative error between the two is less than 10-13, so t
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Key words:
- secondary phase factor /
- sampling /
- equivalent source algorithm /
- non-focal /
- spatial filtering
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