Vol. 12, no.2, 2020


Modified Sierpinski Carpet

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

Kotelnikov Institute of Radioengineering and Electronics of RAS, Fryazino Branch, http://fire.relarn.ru/
Fryazino 141120, Moscow region, Russion Federation
E-mail: arzamastseva@mail.ru, emg20022002@mail.ru, lisf@df.ru, mansvetova_eg@mail.ru

Received March 25, 2020; reviewed April 6, 2020; accepted April 20, 2020
Abstract. The algorithm is described and the properties of a previously unknown modification of the Sierpinsky carpet are studied. An example of proposed algorithm application for the fractal simulation of a really observed domain structure is given. An experimental study of light diffraction in the Fraunhofer zone was performed on computer-generated images of modified Sierpinsky carpets of different generations transferred to a transparent film using a high-resolution imagesetter with a small dot size. The observed diffraction patterns are compared with Fourier images of prefractals pictures approximated by the grid function.

Keywords:domain structure, diffraction pattern, Sierpinsky carpet, fractal, Fourier image, Hausdorf dimension

UDC 51.74; 535.4

RENSIT, 2020, 12(2):241-246. DOI: 10.17725/rensit.2020.12.241.

Full-text electronic version of this article - web site http://en.rensit.ru/vypuski/article/332/12(2)241-246e.pdf