Integer and fractional talbot effect of walsh functions in a tapered gradient-index medium

Osvaldo Trabocchi Optics Laboratory, Applied Physics Department, Faculty of Physics and Optics and Optometry School, University of Santiago de Compostela, Campus Sur, E15782, Santiago de Compostela, Spain

Carlos Gómez-Reino Optics Laboratory, Applied Physics Department, Faculty of Physics and Optics and Optometry School, University of Santiago de Compostela, Campus Sur, E15782, Santiago de Compostela, Spain

Abstract

The complex amplitude distribution for a Gaussian illumination in a tapered gradient-index medium when the input signal is a binary Walsh function is considered. The integer and fractional Talbot effect is studied and the analysis is extended to more general signals by the completeness of the Walsh functions set. Analogies with the conventional lens-imaging formula are found.

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Integer and fractional talbot effect of walsh functions in a tapered gradient-index medium

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Integer and fractional talbot effect of walsh functions in a tapered gradient-index medium

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