OPTICAL PROPERTIES OF INHOMOGENEOUS FILMS,

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)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1963
Accession Number
AD0611494

Entities

People

  • F. Abeles

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Bessel Functions
  • Computations
  • Equations
  • Films
  • Mathematical Analysis
  • Mathematics
  • Measurement
  • Optical Properties
  • Refractive Index
  • Thin Films
  • Wave Equations

Readers

  • Calculus or Mathematical Analysis
  • Nanofabrication and Microfabrication.