Rao, A. V. G. and Mallesh, K. S. and Sudha (1998) On the algebraic characterization of a Mueller matrix in polarization optics - II. Necessary and sufficient conditions for Jones-derived mueller matrices. Journal of Modern Optics, 45 (5). pp. 989-999.
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On the algebraic characterization of a Mueller matrix in polarization optics II Necessary and sufficient conditions for Jones derived Mueller matrices.pdf Restricted to Registered users only Download (786kB) | Request a copy |
Abstract
We show that every Mueller matrix, that is a real 4 x 4 matrix M which transforms Stokes vectors into Stokes vectors, may be factored as M = L2KL1 where L-1 and L-2 are orthochronous proper Lorentz matrices and K is a canonical Mueller matrix having only two different forms, namely a diagonal form for type-I Mueller matrices and a non-diagonal form (with only one non-zero off-diagonal element) for type-II Mueller matrices. Using the general forms of Mueller matrices so derived, we then obtain the necessary and sufficient conditions for a Mueller matrix M to be Jones derived. These conditions for Jones derivability, unlike the Cloude conditions which are expressed in terms of the eigenvalues of the Hermitian coherency matrix T associated with M, characterize a Jones-derived matrix M through the G eigenvalues and G eigenvectors of the real symmetric N matrix N = (M) over tilde GM associated with M. Appending the passivity conditions for a Mueller matrix onto these Jones-derivability conditions, we then arrive at an algebraic identification of the physically important class of passive Jones-derived Mueller matrices.
| Item Type: | Article |
|---|---|
| Subjects: | D Physical Science > Physics |
| Divisions: | Department of > Physics |
| Depositing User: | Users 23 not found. |
| Date Deposited: | 07 Jun 2021 05:21 |
| Last Modified: | 04 Feb 2023 07:06 |
| URI: | http://eprints.uni-mysore.ac.in/id/eprint/16718 |
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