基于Chirp Z-转换的散射光的对轴传播
Lujia Zhao1, Yu-Ang Liu2, Huiru Ji1
1National Gravitation Laboratory, MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China.
Sensors (Basel, Switzerland)
|March 17, 2025
概括
本研究介绍了一种有效的方法来模拟使用维格纳函数和chirp z-transform的部分连贯光传播. 这种新的方法提高了像Ritchey-Chrétien望远镜这样的复杂光学系统的模拟灵活性和速度.
科学领域:
- 光学物理学的光学物理.
- 计算光学是一种计算光学.
- 图像处理 图像处理
背景情况:
- 使用维格纳函数模拟部分连贯的光传播是由于富里埃变换约束而计算密集的.
- 维格纳函数模拟中的矩阵尺寸是固定的,限制了灵活性,并对复杂的光学系统需要大量的内存.
研究的目的:
- 开发一种更灵活,更有效的方法来模拟部分连贯的光传播.
- 为了克服传统的基于维格纳函数的模拟的内存和计算限制.
主要方法:
- 将chirp z-变换的位移定理与维格纳函数的整合.
- 在光学系统的频率域内对感兴趣的区域进行有针对性的模拟.
- 基于chirp z-transform的Wigner传输算法的应用在Ritchey-Chrétien望远镜系统上.
主要成果:
- 这种新方法显著提高了模拟效率,使得有针对性的频率域分析成为可能.
- 用Ritchey-Chrétien望远镜进行的模拟显示了与传统方法的高度一致性.
- 该方法在模拟部分连贯的光传输方面提供了更大的灵活性.
结论:
- 提出的维格纳函数和chirp z-变换集成为光学系统模拟提供了有效和有效的替代方案.
- 这种方法提高了计算效率和灵活性,特别是在复杂的系统中.
- 该技术非常适合模拟先进的光学设计,如Ritchey-Chrétien望远镜.
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