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We consider how vectorial aspects (polarization) of light propagation can beimplemented, and its origin, within a Feynman path integral approach. A keypart of this scheme is in generalising the standard optical path lengthintegral from a scalar to a matrix quantity. Reparametrization invariance alongthe rays allows a covariant formulation where propagation can take place alonga general curve. A general gradient index background is used to demonstrate thescheme. This affords a description of classical imaging optics when thepolarization aspects may be varying rapidly and cannot be neglected.

Ray-Wave Duality of Electromagnetic Fields: A Feynman Path integral Approach to Classical Vectorial Imaging