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

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Mode coupling by circular apertures.

|February 19, 2010

Summary

This summary is machine-generated.

Light beams entering an interferometer through an aperture couple to its modes, even when matched. This study quantifies this mode coupling using Gaussian Laguerre functions, simplifying calculations for Gaussian beams.

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Area of Science:

Optics
Quantum Optics
Interferometry

Background:

Freely propagating light beams interact with interferometers.
Beam matching to interferometer modes is crucial for optimal performance.
Apertures can introduce unexpected mode coupling.

Purpose of the Study:

To analyze the mode coupling that occurs when a light beam passes through a limiting aperture into an interferometer.
To develop a method for quantifying coupling coefficients between an incoming beam and interferometer modes.
To simplify the analysis for specific cases, such as incoming Gaussian beams.

Main Methods:

Modeling the incoming beam and interferometer modes using Gaussian Laguerre functions.
Assuming a circular, on-axis limiting aperture.
Deriving coupling coefficients for arbitrary incoming modes and expanding sets.

Main Results:

Mode coupling occurs even when the incoming beam is matched to the interferometer.
Analytical expressions for coupling coefficients were obtained.
Simplified solutions were derived for incoming Gaussian beams when the expanding set is matched.

Conclusions:

Apertures introduce significant mode coupling in interferometers, affecting beam propagation.
The derived coefficients provide a quantitative understanding of this phenomenon.
The findings are particularly relevant for optical systems utilizing Gaussian beams.