F. Leroybrehonnet et al., OPTICAL MEDIA AND TARGET CHARACTERIZATION BY MUELLER MATRIX DECOMPOSITION, Journal of physics. D, Applied physics, 29(1), 1996, pp. 34-38
Laser imaging set-ups permit characterization of the vectorial nature
of the optical wave which is transmitted by a medium or reflected by a
target, from polarimetric formalisms such as Jones or Stokes-Mueller
calculi. When the Mueller matrix M of targets (or media) is experiment
ally determined, information about the polarizing and depolarizing pro
perties can be obtained from a Mueller-Jones matrix, which operation r
equires knowledge of the experimental uncertainties in the elements of
M. We will discuss the possibility of a polar decomposition of the ex
tracted Mueller-Jones matrix. We then obtain the product of a Hermitia
n matrix and a unitary matrix, which can be associated with it, for a
polarization transformer, with an elliptical partial polarizer and a p
ure elliptical retarder respectively. Classification of a target is de
duced from its polarimetric characteristics (depolarization, polarizin
g and retardation properties). Experimental Mueller matrices of polari
zation transformers (media or targets) are provided and analysed by th
is method in order to characterize the physical behaviour of these opt
ical systems with respect to polarization phenomena.