Abstract

Results are presented of a numerical analysis of the propagation of light through a nonperiodic one-dimensional structure made of layers of dielectric material. In particular, for a Fibonacci sequence of quarter-wave layers, we examine the ratio of the optical reflectivity to the transmission [R/(1 − R), which is the analog of the Landauer resistivity for electrons] as a function of the number of layers, the optical reflectance spectrum, and the spatial distribution of the electric field. We compare the results with those for an ordinary periodic quarter-wave stack and a random quarter-wave stack. For the Fibonacci sequence the observations are consistent with analyses showing that the allowed states form a Cantor set with a Lebesgue measure of zero.

© 1988 Optical Society of America

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