Mathematical expressions are derived for the shape of multiple-beam Fizeau fringes and the associated white-light fringes of equal chromatic order crossing a fiber of circular cross section having a core surrounded by a skin. Formulas are obtained for calculating the refractive indices of the core from fringe shifts. A formula is deduced for a fiber having a single medium. An expression for the focal power of a cylindrical fiber is derived and the focal aberration across it is calculated.
Barakat N. and Hindeleh, A.M., Interferometric Determination of the Refractive Indices and Birefringence of Mohair Wool Fibers, Textile Res. J.34, 358-362 (1964).
2.
Faust, R.C., Determination of the Refractive Indices of Inhomogenous Solids by Interference Microscopy, Proc. Phys. Soc. (London) B67, 138-148 [1954).
3.
Tolansky, S. , "Surface Microtopography," London, Longmans Green, 1960, p. 47.
