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Optical phase of inhomogeneous Jones matrices: retardance and ortho-transmission states

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Abstract

We determine the optical phase $ \psi $ (dynamic and geometric) introduced by a system described by an inhomogeneous Jones matrix. We show that there are two possible scenarios: (a) $ \psi $ has a finite range of $ \psi \in [{\psi _{\min }},{\psi _{\max }}] $. We calculate both limits and their corresponding polarization states analytically. (b) $ \psi $ spans the full range of $ \psi \in ( - \pi ,\pi ] $. This scenario leads to the existence of two input polarization states whose output states are orthogonal. We call these states ortho-transmission states (OTSs) and find them analytically. We study the inverse problem of designing an optical system with OTSs given by the user.

© 2020 Optical Society of America

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