Physically meaningful depolarization metric based on the differential Mueller matrix.

Area of Science:

• Optics and Photonics
• Materials Science
• Biophysics

Background:

• Mueller matrix polarimetry is crucial for characterizing anisotropic materials.
• Existing depolarization metrics can yield inaccurate results for certain Mueller matrices.
• A need exists for a robust and physically meaningful depolarization metric.

Purpose of the Study:

• To present a novel depolarization metric based on the differential Mueller formalism.
• To demonstrate the metric's ability to accurately quantify depolarization.
• To establish a physically meaningful basis for depolarization quantification.

Main Methods:

• Development of a novel depolarization metric derived from the differential Mueller matrix.
• Statistical interpretation of the differential Mueller matrix.
• Application of the metric to various Mueller matrices, including those problematic for existing metrics.

Main Results:

• The proposed differential depolarization index successfully quantifies depolarization.
• The metric provides accurate results for Mueller matrices where other metrics fail.
• The index is directly linked to sample's anisotropic properties (variances and covariances).

Conclusions:

• The differential depolarization index offers a robust and accurate method for quantifying depolarization.
• This metric provides a physically meaningful interpretation of depolarization.
• The novel metric enhances the capabilities of Mueller matrix polarimetry.