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Differential matrix physically admissible for depolarizing media: the case of diagonal matrices
Vincent Devlaminck1, Patrick Terrier, Jean-Michel Charbois
1LAGIS-UMR CNRS 8219, Université Lille 1, Sciences et Technologies, Villeneuve d’Ascq 59655, France. vincent.devlaminck@univ‑lille1.fr
Optics Letters
|May 2, 2013
Summary
This study proposes a parameterization for depolarizing differential matrices, ensuring physical validity of diagonal depolarization terms. This work connects matrix properties to the spatial extension of optical inhomogeneities.
Area of Science:
- Optics
- Polarimetry
- Mathematical Physics
Background:
- Depolarizing differential matrices are crucial in polarimetry.
- Ensuring the physical validity of these matrices is essential for accurate optical measurements.
- Previous work by Ossikovski explored related concepts.
Purpose of the Study:
- To address the physical validity of depolarizing differential matrices.
- To propose a parameterization for the diagonal terms of these matrices.
- To establish a condition linking matrix properties to physical optical characteristics.
Main Methods:
- Developing a parameterization for diagonal terms of depolarizing differential matrices.
- Analyzing the generators associated with diagonal depolarization.
- Deriving a condition relating the parameterization to optical path length and inhomogeneities.
Main Results:
- A parameterization is proposed that ensures physical Mueller matrices from diagonal depolarization.
- A condition for validity is derived.
- This condition is linked to the spatial extension of inhomogeneities relative to optical path length.
Conclusions:
- The proposed parameterization guarantees the physical validity of Mueller matrices.
- The derived condition provides a criterion for assessing the physical relevance of depolarizing differential matrices.
- This research contributes to a deeper understanding of light depolarization in optical systems.
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