Accession Number : AD0611494

Title :   OPTICAL PROPERTIES OF INHOMOGENEOUS FILMS,

Corporate Author : INSTITUT D'OPTIQUE PARIS (FRANCE)

Personal Author(s) : Abeles,F.

Report Date : 1963

Pagination or Media Count : 18

Abstract : The inhomogeneous films investigated have a refractive index n which is a function of the single coordinate z, the axis Oz having the direction of the normal to the planes which limit the layer. The discussion is limited to nonabsorbing films, although mention is made of the possibilities of using the same methods for absorbing layers. Three different methods of computation are described: (a) use of the differential wave equation; (b) WKB approximation; (c) replacement of an inhomogeneous layer by a pile of homogeneous films. A numerical example is discussed, which corresponds to a refractive index of the inhomogeneous layer given by N = N sub i exp (alpha z). Exact solutions are given in terms of Bessel functions and they are compared with approximate solutions. Drude's equations, valid for very thin films, are not discussed in this article. (Author)

Descriptors :   (*OPTICAL PROPERTIES, FILMS), (*FILMS, OPTICAL PROPERTIES), REFRACTIVE INDEX, DIFFERENTIAL EQUATIONS, BESSEL FUNCTIONS, MATRICES(MATHEMATICS), BOUNDARY VALUE PROBLEMS, POLARIZATION, VIBRATION, THICKNESS, FRANCE

Distribution Statement : APPROVED FOR PUBLIC RELEASE