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Updated: Jun 21, 2026

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Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters
Published on: June 2, 2010
Three-dimensional speckle size in generalized optical systems with limiting apertures.
Jennifer E Ward1, Damien P Kelly, John T Sheridan
1School of Electrical, Electronic and Mechanical Engineering, UCD Communications nad Optoelctronic Research Centre, University College, Dublin, Ireland.
Summary
This study analyzes speckle field correlation properties in quadratic phase systems. It provides methods to calculate speckle sizes and consider nonaxial speckles for optical system design.
Area of Science:
- Optics and Photonics
- Wave Phenomena
- Statistical Optics
Background:
- Speckle fields are crucial in optical metrology and imaging.
- Understanding speckle correlation is key for system performance.
- Quadratic phase systems are widely used in optical applications.
Purpose of the Study:
- To investigate the correlation properties of speckle fields from quadratic phase systems.
- To derive analytical methods for speckle size determination.
- To extend analysis to nonaxial speckles using numerical techniques.
Main Methods:
- Linear canonical transform
- ABCD ray matrix techniques
- Numerical analysis for nonaxial speckles
Main Results:
- Analytical formulas for axial and lateral speckle sizes derived.
- Numerical methods successfully extended to analyze nonaxial speckle correlation.
- Demonstrated applicability using simple optical system examples.
Conclusions:
- The developed approach is effective for analyzing speckle correlation in quadratic phase systems.
- Findings are applicable to the design of metrology systems.
- Results aid in developing effective speckle control schemes.
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