Vol. 14, no.3, 2022


Light Diffraction by Flat Geometric Bifractals

Galina V. Arzamastseva, Mikhail G. Evtikhov, Fedor V. Lisovsky, Ekaterina G. Mansvetova

Kotelnikov Institute of Radioengineering and Electronics of RAS, Fryazinsky Branch, http://fire.relarn.ru/
Fryazino 141190, Moscow Region, Russian Federation
E-mail: arzamastseva@mail.ru, emg20022002@mail.ru, lisf@df.ru

Received May 26, 2022, peer-reviewed June 6, 2022, accepted June 13, 2022

Abstract:: In the Fraunhofer zone, an experimental study of the diffraction of a collimated beam of light with a wavelength of 0.63 microns after passage through computer-generated images of flat geometric bifractals, which are a combination of two geometric fractals of different dimensions, was performed. The studies used bifractals based on the classical Vicsek fractal and two less well-known fractals of L-systems. The selected images were transferred to a transparent film using a phototypesetter with a resolution of 1333 dots per centimeter (3386 dpi) and a point size of 7.5 microns. Diffraction patterns were visually observed on the screen and recorded using a digital camera and then transmitted to a computer for processing. The diffraction patterns observed in optical experiments were compared with "digital" diffractograms, that is, with Fourier images of bifractal images approximated by a grid function on a uniform square grid at different values of the parameter used in calculations that determines the ratio between the overall size of the smallest element of the prefractal and the grid period.

Keywords: bifractal, diffraction, Fraunhofer zone, monofractal, prefractal, grid function, Vicsek fractal, L-system fractal, Fourier image

UDC 51.74; 535.4

RENSIT, 2022, 14(3):309-316e DOI: 10.17725/rensit.2022.14.309.

Full-text electronic version of this article - web site http://en.rensit.ru/vypuski/article/457/14(3)309-316e.pdf