Open Access
Add to BibSonomy
Abstract
The present erratum is intended to correct some typos as well as to complement Appendices B and C in our paper [J. Opt. Soc. Am. A 36, 403 (2019) [CrossRef] ].
© 2023 Optica Publishing Group
In the definition of the covariance matrix given by Eq. (3) of [1], the second Pauli matrix ${\sigma _j}$ in the Kronecker product must be complex conjugated. However, the explicit form of the covariance matrix reported in the same equation is correct. The quantities ${E_1}$ through ${E_4}$ entering Eq. (4) must not be squared, in agreement with their definition in Eq. (2). In Appendix B, Eqs. (B7a) and (B7b), the matrix element ${M_{22}}$ must actually be ${M_{12}}$, as evident from Eqs. (B5a) and (B5b). More importantly, besides the condition given by Eq. (B9), the additional condition
must be used in order to find the actual solutions in the special case of completing the Mueller matrix of a retarder, i.e., a matrix having strictly zero first row and column (except for the leading element ${M_{11}}$). Being partially based on the results from Appendix B, Appendix C is also affected by the above condition. Note however that experimental Mueller matrices never have strictly zero first rows and columns because of measurement noise so that the use of condition (B10) is superfluous in practical applications.Acknowledgment
The authors are grateful to A. Baroni from Paul Scherrer Institut, 5232 Villigen PSI, Switzerland, for having noticed the above typos as well as the omitted condition.
REFERENCE
1. R. Ossikovski and O. Arteaga, “Complete Mueller matrix from a partial polarimetry experiment: the nine-element case,” J. Opt. Soc. Am. A 36, 403–415 (2019). [CrossRef]