Necessary and sufficient conditions for an optical system characterized by a Mueller matrix to be characterized by a Mueller–Jones, and thence by a Jones, matrix are considered, and the issue of measurement error is examined. It is shown that a Mueller matrix can be expressed as a linear combination of at most four trace orthonormal Mueller–Jones matrices, and an algorithm for the construction is given.
© 1994 Optical Society of America
Original Manuscript: March 5, 1993
Revised Manuscript: October 4, 1993
Manuscript Accepted: October 6, 1993
Published: August 1, 1994
Donald G. M. Anderson and Richard Barakat, "Necessary and sufficient conditions for a Mueller matrix to be derivable from a Jones matrix," J. Opt. Soc. Am. A 11, 2305-2319 (1994)