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Updated: Jun 11, 2026
08:32
Development of Whispering Gallery Mode Polymeric Micro-optical Electric Field Sensors
Published on: January 29, 2013
Marcum-Q correlated optical fields
Summary
We constructed a partially coherent field using the Marcum-Q function for spatial correlations. Its far-field correlations exhibit a Schell model with a jinc-type coherence function, confirmed by simulations.
Area of Science:
- Optics and Photonics
- Wave Propagation
- Statistical Optics
Background:
- Partially coherent fields are crucial in various optical systems.
- Understanding spatial correlations is key to predicting field behavior.
- The Marcum-Q function offers a novel approach to defining these correlations.
Purpose of the Study:
- To construct a partially coherent field with spatial correlations defined by the Marcum-Q function.
- To investigate the correlation properties of this field, particularly in the far-field.
- To determine if the far-field correlations conform to a Schell-model form.
Main Methods:
- Analytical derivation of spatial correlations using the Marcum-Q function.
- Investigation of near-field and far-field correlation properties.
- Numerical simulations to validate analytical findings.
Main Results:
- The constructed partially coherent field's spatial correlations are expressed via the Marcum-Q function.
- In general, the field's correlations do not adhere to the Schell-model.
- The far-field correlations exhibit a Schell-model form with a jinc-type coherence function.
Conclusions:
- The Marcum-Q function provides a framework for generating partially coherent fields with specific correlation properties.
- The study reveals a transition to Schell-model behavior in the far-field, characterized by a jinc-type coherence function.
- Numerical simulations confirm the analytical predictions, validating the theoretical model.
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