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Alternative depolarization criteria for Mueller matrices.

Razvigor Ossikovski¹

¹LPICM, Ecole Polytechnique, CNRS, 91128 Palaiseau, France. razvigor.ossikovski@polytechnique.edu

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

|April 3, 2010

Summary

This summary is machine-generated.

New depolarization criteria using Lorentz singular values are proposed for Mueller matrices, overcoming limitations of existing methods like Gil and Bernabeu and Cloude, ensuring accurate analysis of light polarization. This research enhances optical metrology and material characterization.

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Area of Science:

* Polarization optics and optical metrology.
* Matrix methods in physics and engineering.

Background:

* Current depolarization criteria by Gil and Bernabeu, and Cloude are widely used for Mueller matrix analysis.
* These methods can yield inaccurate results for specific Mueller matrix types.

Purpose of the Study:

* To identify limitations in existing Mueller matrix depolarization criteria.
* To propose and validate alternative depolarization criteria based on Lorentz singular values.

Main Methods:

* Theoretical analysis of depolarization criteria.
* Application of Lorentz singular value decomposition to Mueller matrices.
* Validation using experimentally obtained Mueller matrices.

Main Results:

* Demonstrated that Gil and Bernabeu, and Cloude criteria can be erroneous for certain Mueller matrices.
* Introduced novel depolarization criteria derived from Lorentz singular values.
* Showcased superior performance of the proposed criteria on experimental data.

Conclusions:

* The proposed Lorentz singular value-based criteria offer a more robust method for Mueller matrix depolarization analysis.
* These new criteria address the shortcomings of previous methods, improving accuracy in optical measurements.