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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

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Generalized Gouy phase for focused partially coherent light and its implications for interferometry.

Xiaoyan Pang¹, David G Fischer, Taco D Visser

¹Department of Electrical Engineering, Delft University of Technology, Delft, The Netherlands.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|June 8, 2012

Summary

The Gouy phase, a π phase shift in focused waves, is undefined for partially coherent light. We show that the spectral degree of coherence exhibits a generalized Gouy phase, impacting interference experiments.

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Area of Science:

Optics and Photonics
Wave Phenomena

Background:

The Gouy phase describes a π phase shift in focused wave fields, critical for applications like optical coherence tomography and laser resonators.
Partially coherent fields, common in real-world scenarios, have random phases, rendering the standard Gouy phase undefined.

Purpose of the Study:

To investigate the behavior of the Gouy phase for spatially partially coherent fields.
To determine if a generalized Gouy phase exists for partially coherent wave fields and its dependence on coherence properties.

Main Methods:

Analysis of the spectral degree of coherence for partially coherent fields.
Theoretical demonstration of a generalized Gouy phase within the coherence function.

Main Results:

The spectral degree of coherence for partially coherent fields exhibits a generalized Gouy phase.
The behavior of this generalized Gouy phase is dependent on the transverse coherence length of the field.
This generalized Gouy phase non-trivially influences fringe spacing in interference experiments.

Conclusions:

A generalized Gouy phase exists and is measurable in partially coherent fields.
Understanding this generalized Gouy phase is essential for accurate analysis of interference phenomena involving partially coherent light.