A new method is suggested for measuring the refractive index profile of hom
ogeneous highly-oriented fibres. This method depends on the principle of th
e variable wavelength interferometric technique. A numerical fitting is use
d to determine the fringe shift profile at a certain wavelength. The refrac
tion of the light beam by the fibre is taken into consideration in the math
ematical treatment. Poly(ethylene terephthalate) and poly(ethylene 2,6-naph
thalene-dicarboxylate) fibres are used as examples of these highly-oriented
fibres. The diffraction of a He-Ne laser beam is used to determine the dia
meter and the cross sectional shape of these fibres. Also, a two-beam inter
ference microscope (Pluta microscope) is used for measuring the refractive
index profile of these fibres, at the same wavelength, for light vibrating
perpendicular to the fibre axes to confirm the results of the new method. M
icrointerferograms are given for illustration.