Sampling analysis for Fresnel diffraction fields based on phase space representation

Area of Science:

• Optics and Photonics
• Computational Physics

Background:

• Numerical calculation of Fresnel diffraction is crucial for optical wave propagation simulations.
• Current methods often focus only on complex amplitude sampling, limiting comprehensive analysis of various diffraction fields.

Purpose of the Study:

• To systematically analyze the sampling of all Fresnel diffraction fields (complex amplitude, intensity, amplitude, phase) from a phase space optics perspective.
• To provide practical suggestions for numerical calculations of diverse diffraction fields.

Main Methods:

• Utilizing phase space optics to analyze sampling requirements for different Fresnel diffraction fields.
• Illustrating the space-bandwidth product of each field using phase space diagrams.
• Verifying the analysis through numerical experiments with discrete Fresnel diffraction.

Main Results:

• A comprehensive analysis of sampling for complex amplitude, intensity, amplitude, and phase in Fresnel diffraction.
• Demonstration of the space-bandwidth product for each field using phase space diagrams.
• Validation of the proposed sampling analysis through numerical simulations.

Conclusions:

• The study provides a systematic framework for understanding and implementing sampling strategies in Fresnel diffraction calculations.
• The findings offer practical guidance for optimizing numerical simulations based on specific diffraction field requirements.
• This work enhances the accuracy and comprehensiveness of numerical wave propagation simulations in optics.