Fractal Diffraction Grating

TL;DR

This paper analytically explores the diffraction patterns produced by fractal-based optical gratings, revealing that their interference patterns inherit the fractal's scaling properties and structural characteristics.

Contribution

It introduces a novel analytical approach to understanding diffraction patterns from fractal spatial distributions, specifically for triad Cantor and generalized fractal gratings.

Findings

Diffraction patterns reflect fractal structures.

Interference patterns exhibit fractal scaling properties.

Analytical expressions derived for specific fractal gratings.

Abstract

We consider an optical diffraction grating in which the spatial distribution of open slits forms a fractal set. The Fraunhofer diffraction patterns through the fractal grating are obtained analytically for the simplest triad Cantor type and its generalized version. The resulting interference patterns exhibit characteristics of the original fractals and their scaling properties.