Quasi-periodic layered structures

摘要

A quasi-periodic sequence of a plurality of types of layers is produced by selecting successive subsequences of the layers in response to at least one prior subsequence of the layers and a predetermined substitution matrix. In one specific illustrative embodiment, the substitution matrix is such that each successive term of a series corresponds to a Fibonacci sequence. Quasi-periodic structures produced in accordance with the present invention are produced simply and inexpensively without the need for very stringent manufacturing tolerances and controls. Optical embodiments of the invention yield highly desirable characteristics with respect to incident radiation in the ranges of X-rays, ultaviolet, and visible light. Additionally, electrical devices having unusual electrical characteristics can be produced.