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تسجيل مستخدم جديدThe duality of Fermat and Huygens principles through contact transformations
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In this work, we use the geometric equivalence between Fermats and Huygens principles to show that the kinematics of light propagation in a non-dispersive medium associated with a bi-metric spacetime is expressed by means of a 1-parameter family of contact transformations. We present a general technique to find such transformations and explore some explicit examples for different geometric media and interfaces.
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