Phase space representation of spatially partially coherent imaging

Area of Science:

• Optics and Photonics
• Image Science
• Wave Phenomena

Background:

• Understanding the spatial coherence of optical fields is crucial for characterizing imaging systems.
• Existing methods for phase space representation of optical fields have limitations in describing systems with varying coherence states.

Purpose of the Study:

• To develop a novel phase space representation for optical fields across all states of spatial coherence.
• To introduce new functions for analyzing the optical transfer and response of imaging systems using Wigner distribution functions.
• To analyze specific imaging scenarios, including the imaging of two point sources.

Main Methods:

• Development of a phase space representation using spatial coherence wavelets.
• Application of Wigner distribution functions to describe the optical field.
• Analysis of specific imaging cases and the imaging of two point sources.

Main Results:

• A new phase space representation for optical imaging is established, applicable to fields in any state of spatial coherence.
• New functions are derived for characterizing the optical transfer and response of imaging systems.
• The analysis provides insights into the imaging of multiple point sources.

Conclusions:

• The developed phase space method offers a comprehensive framework for analyzing optical imaging systems.
• This approach enhances the understanding of how spatial coherence affects image formation.
• The study provides a valuable tool for the analysis and design of optical imaging systems.