Abstract

An analytic mathematical model is developed for a Liquid Crystal Variable Retarder (LCVR) based on an extended Jones matrix representation. The model is used to determine the polarimetric response of the LCVR to rays of non-normal incidence. The model shows reasonable agreement with laboratory measurements of a LCVR for both linear and circular input polarizations at arbitrary incident angles. The model is also applied to a two-LCVR imaging polarimeter system that is capable of measuring the full Stokes parameters of a scene. It is shown that the LCVR response can have a significant effect on the recovered Stokes values for non-normal incidence, which is important for determining the polarimetric performance of such a system over an extended field-of-view.

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