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High Speed Sub-GHz Spectrometer for Brillouin Scattering Analysis

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Published on: December 22, 2015

Speckle orientation in paraxial optical systems.

Dayan Li¹, Damien P Kelly, Raoul Kirner

¹Communications and Optoelectronic Research Centre, Science Foundation Ireland-Strategic Research Cluster in Solar Energy Conversion, School of Electrical, Electronic and Communications Engineering, College of Engineering and Architecture, University College Dublin, Belfield, Dublin 4, Ireland.

|February 7, 2012

Summary

Speckle properties in optical systems are controllable by system parameters. This study reviews speckle correlation functions in linear canonical transform (LCT) systems, confirming control via optical components and pixel integration effects.

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Area of Science:

Optics and Photonics
Statistical Optics

Background:

Speckle statistical properties depend on optical system parameters.
Speckle orientation and longitudinal size vary significantly with system configuration.
Off-axis speckle correlation length differs between Fourier transform and Fresnel systems.

Purpose of the Study:

To review speckle correlation functions in general linear canonical transform (LCT) systems.
To demonstrate control over speckle properties using optical components.
To examine the impact of camera pixel integration on speckle statistics.

Main Methods:

Theoretical review of speckle correlation functions in LCT systems.
Numerical simulations of correlation function changes in typical LCT systems.
Theoretical analysis of camera pixel integration effects on speckle statistics.

Main Results:

Speckle properties can be controlled by introducing lenses and free space sections.
Numerical simulations show changes in correlation functions for typical LCT systems.
Experimental results confirm the effect of pixel size on first-order statistics and speckle orientation.

Conclusions:

Speckle properties are tunable within LCT systems.
Optical components and pixel integration significantly influence measured speckle statistics.
Experimental validation supports theoretical predictions on speckle behavior.