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Three-dimensional polarization ray-tracing calculus I: definition and diattenuation
Garam Yun1, Karlton Crabtree, Russell A Chipman
1College of Optical Sciences, The University of Arizona, 1630 East University Boulevard, Tucson, Arizona 85721-0094, USA. gyun@optics.arizona.edu
Applied Optics
|June 22, 2011
Summary
A novel three-by-three polarization ray-tracing matrix method accurately calculates polarization transformations in optical systems. This 3D generalization of Jones calculus handles reflections and refractions, with diattenuation determined by singular value decomposition.
Area of Science:
- Optics and Photonics
- Optical Engineering
Background:
- Polarization transformations are crucial for analyzing optical systems.
- Existing methods may not fully capture 3D polarization effects.
Purpose of the Study:
- To introduce a comprehensive three-by-three polarization ray-tracing matrix method.
- To enable accurate calculation of polarization changes in complex optical paths.
Main Methods:
- Developed a 3D generalization of Jones calculus using 3x3 matrices.
- Incorporated reflection and refraction algorithms.
- Utilized singular value decomposition for diattenuation calculation.
Main Results:
- The method successfully calculates polarization transformations along ray paths.
- Diattenuation was accurately determined for optical systems.
- Validated with a three-fold mirror system and a hollow corner cube.
Conclusions:
- The presented 3x3 polarization ray-tracing matrix method is effective for optical system analysis.
- Offers a robust approach for understanding polarization behavior in 3D optical designs.
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