During the last months I have been working with Razvigor Ossikovski in a method to complete an experimental Mueller matrix with a row or column missing into a full Mueller matrix in situations where is no depolarization. Thus this method converts a 12-element partial Mueller matrix into a 16-element Mueller matrix. We are talking about these type of incomplete matrices, which are rather common in many ellipsometers/polarimeters:
The code we propose has many advantages over other approaches we have tested because it is algebraic (no fitting involved), numerically very robust and very fast. The details of the method are given in the following two papers (specially in the first one):
- R. Ossikovski and O. Arteaga, “Completing an experimental nondepolarizing Mueller matrix whose column or row is missing”, J. of Vac. Sc. & Tech. B 37, 052905 (2019).
- O. Arteaga and R. Ossikovski, “Complete Mueller matrix from a partial polarimetry experiment: the 12-element case,” J. Opt. Soc. Am. A 36, 416-427 (2019).
In this post we include a simple Matlab script that applies our method to a single 12-element partial Mueller matrix. Feel free to use this script adapting it to your needs. But please cite it!