We show that the differential matrix of a uniform homogeneous medium containing birefringence may not be uniquely determined from its Mueller matrix, resulting in the potential existence of an infinite set of elementary polarization properties parameterized by an integer parameter. The uniqueness depends on the symmetry properties of a special differential matrix derived from the eigenvalue decomposition of the Mueller matrix. The conditions for the uniqueness of the differential matrix are identified, physically discussed, and illustrated in examples from the literature.
© 2014 Optical Society of America
Fiber Optics and Optical Communications
Original Manuscript: February 28, 2014
Manuscript Accepted: April 11, 2014
Published: May 20, 2014
Vincent Devlaminck and Razvigor Ossikovski, "Uniqueness of the differential Mueller matrix of uniform homogeneous media," Opt. Lett. 39, 3149-3152 (2014)