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@article{Foreman:2019:10.1117/1.oe.58.8.082410,
author = {Foreman, MR and Goudail, F},
doi = {10.1117/1.oe.58.8.082410},
journal = {Optical Engineering},
title = {On the equivalence of optimization metrics in Stokes polarimetry},
url = {http://dx.doi.org/10.1117/1.oe.58.8.082410},
volume = {58},
year = {2019}
}

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TY  - JOUR
AB  - Optimization of polarimeters has historically been achieved using an assortment of performance metrics. Selection of an optimization parameter is, however, frequently made on an ad hoc basis. We rigorouslydemonstrate that optimization strategies in Stokes polarimetry based on three common metrics, namely theFrobenius condition number of the instrument matrix, the determinant of the associated Gram matrix, or theequally weighted variance, are frequently formally equivalent. In particular, using each metric, we derive the sameset of constraints on the measurement states, correcting a previously reported proof, and show that these can besatisfied using spherical 2 designs. Discussion of scenarios in which equivalence between the metrics breaksdown is also given. Our conclusions are equally applicable to optimization of the illumination states in Muellermatrix polarimetry.
AU  - Foreman,MR
AU  - Goudail,F
DO  - 10.1117/1.oe.58.8.082410
PY  - 2019///
SN  - 0091-3286
TI  - On the equivalence of optimization metrics in Stokes polarimetry
T2  - Optical Engineering
UR  - http://dx.doi.org/10.1117/1.oe.58.8.082410
UR  - http://hdl.handle.net/10044/1/69319
VL  - 58
ER  -

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