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In light refraction between two transparent media, Snell's law describes therelationship between the incident angle and refraction angle. The refractiveindex is usually determined from Snell's law using the minimum deviation anglethrough a prism. A medium that partially absorbs light has complex permittivity(or permeability), and its refractive index has an imaginary part. Because ofthe imaginary part, Snell's law does not hold for light-absorbing media.Accordingly, other methods is required to determine the complex value of therefractive index in a light-absorbing medium. The exact solution of Maxwell'sequations was obtained for light passing through a prism composed of alight-absorbing medium. Thereby the optical path was determined. The differenceof optical paths between light-absorbing medium and transparent medium wascalculated numerically. The difference is very large in the neighborhood ofperfect reflection area of transparent medium. We found two methods todetermine the complex value of the refractive index using the optical path.Both methods analyzed the solutions in detail for two specific incident angles.The deviation angles corresponding to the two incident angles determined thecomplex value of the prism's refractive index. The obtained refractive index isindependent of the apex angle of the prism.

Determination of Complex Refractive Index using Prism composed of Absorbing Medium