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Recovering the complete coherence function of a generalized Schell model field.

C Q Tran¹, K A Nugent

¹School of Physics, The University of Melbourne, Victoria 3010, Australia. tran@physics.unimelb.edu.au

|October 31, 2006

Summary

A generalized Schell model partially coherent field is defined by its intensity in three planes, simplifying wave field characterization without phase singularities. This finding offers new methods for understanding and analyzing optical fields.

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Area of Science:

Optics
Wave phenomena
Mathematical physics

Background:

Partially coherent fields are crucial in various optical applications.
Characterizing wave fields is essential for understanding light propagation.
Generalized Schell models offer a flexible framework for describing coherence properties.

Purpose of the Study:

To determine the conditions under which a generalized Schell model field is fully defined.
To investigate the role of intensity measurements in wave field characterization.
To simplify the process of analyzing partially coherent light.

Main Methods:

Mathematical derivation based on the properties of generalized Schell models.
Analysis of the relationship between intensity distribution and field definition.
Consideration of the absence of phase singularities.

Main Results:

A generalized Schell model partially coherent field is fully defined by its intensity distribution in three specific planes.
This definition holds true in the absence of phase singularities.
The intensity in these planes contains complete information about the field.

Conclusions:

Intensity measurements in just three planes are sufficient to characterize a generalized Schell model partially coherent field.
This significantly simplifies the problem of wave field characterization.
The findings have practical implications for optical system design and analysis.