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Geometric phase for dichroic media

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Abstract

We are presenting an extension for the method of obtaining the geometric phase introduced by the birefringent medium. This extension takes into account the possible dichroism of the examined medium. Its influence has been described formally in two kinds of interferometric experiments using the Jones formalism. The mathematical formulas have been visualized with the specific-triangles construction on the Poincaré sphere. This medium’s dichroism can affect the final formulas for the obtained interferometric pattern in two ways, depending on the type of experiment. Dichroism can change the geometrical phase in the setup with a Mach–Zehnder interferometer; however, only the contrast of possible interference fringes can be changed in a polariscopic setup.

© 2011 Optical Society of America

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