Mathematical expressions are derived for the shape of multiple-beam Fizeau fringes crossing a cylindrical multi-layer fibre. The area enclosed by the deviation of the interference fringe as it crosses the fibre is considered to represent the path difference integrated across the fibre. This interferometric method is applied to determine the refractive indices and birefringence of each layer of polypropylene fibres.
An analysis of multiple-beam Fizeau fringes crossing fibres with irregular transverse sections is given. The area enclosed under the fringe shift is considered to represent the path difference integrated across the fibre. The method is applied to the determination of refractive indicies and birefringence of dralon fibres. Microinterferograms are given for illustration.
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