Generalized optical interferometry for modal analysis in arbitrary degrees of freedom |
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Authors: | Ayman F Abouraddy Timothy M Yarnall Bahaa E A Saleh |
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Affiliation: | CREOL, The College of Optics & Photonics, University of Central Florida, Orlando, Florida 32816, USA. raddy@creol.ucf.edu |
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Abstract: | We generalize the traditional concept of temporal optical interferometry to any degree of freedom of a coherent optical field. By identifying the structure of a unitary optical transformation that we designate the generalized phase operator, we enable optical interferometry to be carried out in any modal basis describing a degree of freedom. The structure of the generalized phase operator is that of a fractional optical transform, thus establishing the connection between fractional transforms, optical interferometry, and modal analysis. |
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