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Derivation of one-dimensional refractive-index profiles from interferograms

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Abstract

A method is presented for the derivation of one-dimensional refractive-index fields from interferograms that may be distorted by light-deflection effects. The technique involves an iterative process that employs closed-form solutions for light propagation through inhomogeneous media and a three-parameter polynomial function to describe the refractive-index field. The method was tested by analyzing the interferograms associated with various refractive-index fields generated by diffusion and convection at a solid–fluid interface. The results show that the derived polynomial refractive-index profiles closely approximate the concentration fields and accurately depict the interfacial refractive index. However, the derived interfacial refractive-index gradient can be in error, because of the limitations of the precision with which the exact location of the interface can be established on an experimental interferogram.

© 1975 Optical Society of America

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