Features of inverse problem arise from structure of a general pure Mueller matrix

Sergey N. Savenkov; Yevgen A. Oberemok; Vladimir N. Nikonov

doi:10.1117/12.826848

11 August 2009 Features of inverse problem arise from structure of a general pure Mueller matrix

Sergey N. Savenkov, Yevgen A. Oberemok, Vladimir N. Nikonov

Proceedings Volume 7461, Polarization Science and Remote Sensing IV; 746112 (2009) https://doi.org/10.1117/12.826848
Event: SPIE Optical Engineering + Applications, 2009, San Diego, California, United States

Abstract

Changes in the state of polarization of a beam of radiation occurring without depolarization can be described by means of a pure Mueller matrix. Pure Mueller matrix can be expressed in terms of the elements of a 2x2 Jones matrix. This results in that the pure Mueller matrix has a simple and elegant structure, which is embodied by interrelations between matrix elements. All possible interrelations for the elements of a general pure Mueller matrix are derived by Hovenier (Appl. Opt., Vol.33, No.36, pp. 8318-8324, 1994). The structure of the pure Mueller matrix enables to solve the inverse problem basing not on all sixteen matrix elements but only on certain part of them. We show that four elements which are formed each of columns and rows of the pure Mueller matrix considering them individually are dependent and the inverse problem can be solved in general case basing only on the rest of twelve matrix elements.

Citation Download Citation

Sergey N. Savenkov, Yevgen A. Oberemok, and Vladimir N. Nikonov "Features of inverse problem arise from structure of a general pure Mueller matrix", Proc. SPIE 7461, Polarization Science and Remote Sensing IV, 746112 (11 August 2009); https://doi.org/10.1117/12.826848

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