Spectral scalability as a result of geometrical self-similarity in fractal multilayers

TL;DR

This paper demonstrates that the optical spectra of fractal multilayer dielectric structures exhibit spectral scalability directly linked to their geometrical self-similarity, with derived phase and amplitude scaling relations.

Contribution

It establishes a theoretical connection between spectral scalability and geometrical self-similarity in fractal multilayers, including phase and amplitude scaling relations.

Findings

Spectral scalability is directly related to geometrical self-similarity.

Derived phase and amplitude scaling relations.

Finite structure size effects are analyzed.

Abstract

The optical spectra of fractal multilayer dielectric structures have been shown to possess spectral scalability, which has been found to be directly related to the structure's spatial (geometrical) self-similarity. Phase and amplitude scaling relations, as well as effects of finite structure size, have been derived.