Vol. 12, no.2, 2020
РусскийEnglish
FRACTALS IN PHYSICS
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