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Spectral and Angle-Resolved Magneto-Optical Characterization of Photonic Nanostructures

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Nyquist Sampling Conditions of Some Diffraction Algorithms with Adjustable Magnification.

Chunzheng Wang¹, Jianshe Ma¹, Chao Cai¹

¹Tsinghua Shenzhen International Graduate School, Tsinghua University, Shenzhen 518055, China.

Sensors (Basel, Switzerland)

|February 11, 2023

Summary

This summary is machine-generated.

This study analyzes diffraction algorithms for holographic imaging, focusing on sampling conditions to prevent aliasing. Understanding these conditions helps select the right algorithm for accurate simulations.

Keywords:

aliasing diffraction algorithms sampling conditions

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Area of Science:

Optics and Photonics
Computational Imaging
Digital Holography

Background:

Diffraction algorithms are crucial for adjustable magnification in holographic projection and imaging.
Current algorithms face limitations due to Nyquist sampling conditions, leading to aliasing in simulations with incorrect parameters.

Purpose of the Study:

To provide a comprehensive analysis of sampling conditions for classical diffraction algorithms.
To compare these conditions under plane wave and spherical wave illumination.
To guide the selection of appropriate algorithms for accurate holographic simulations.

Main Methods:

Summarization of classical diffraction algorithms with adjustable magnification.
Analysis of sampling conditions for each algorithm.
Comparative study of sampling conditions under different wave illuminations (plane and spherical).

Main Results:

Identification of specific sampling condition limitations for various diffraction algorithms.
Demonstration of how parameter choices impact aliasing.
Comparative data on algorithm performance under different illumination types.

Conclusions:

A clear understanding of sampling conditions is essential for avoiding aliasing in holographic simulations.
Algorithm selection should be based on specific simulation parameters and illumination conditions.
This analysis aids researchers in choosing the most suitable diffraction algorithm for their holographic applications.