## Vectorial pure operatorial Pauli algebraic approach in polarization optics: a theoretical survey and some applications |

Applied Optics, Vol. 51, Issue 10, pp. C184-C192 (2012)

http://dx.doi.org/10.1364/AO.51.00C184

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### Abstract

In the last decade we have elaborated a mathematical tool for the description of the interaction of polarized light with polarization devices, alternative to the standard matrix (Jones and Mueller) formalisms, namely a vectorial pure operatorial Pauli algebraic one. After a brief, coherent survey of this formalism, we present some applicative results obtained in this frame, referring to the gain and the modification of the state of polarization at the interaction of the polarized light with deterministic devices. Due to an adequate parameterization of the problem, specific to this method, symmetric expressions of the gain and of the generalized Malus’ law are obtained. On the other hand, the equation of the ellipsoid in which a Poincaré sphere of a given degree of polarization is mapped by such a device can be established.

© 2012 Optical Society of America

**OCIS Codes**

(000.3860) General : Mathematical methods in physics

(260.2130) Physical optics : Ellipsometry and polarimetry

(260.5430) Physical optics : Polarization

**History**

Original Manuscript: November 28, 2011

Revised Manuscript: February 28, 2012

Manuscript Accepted: February 29, 2012

Published: March 30, 2012

**Citation**

Tiberiu Tudor, "Vectorial pure operatorial Pauli algebraic approach in polarization optics: a theoretical survey and some applications," Appl. Opt. **51**, C184-C192 (2012)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-10-C184

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