Vol. 9, no.2, 2017
РусскийEnglish

FRACTALS IN PHYSICS



LIGHT DIFFRACTION BY FRACTALS: COMPARISON OF EXPERIMENTAL DATA WITH THE OBTAINED BY NUMERICAL METHODS FOURIER IMAGES OF THE OBJECT PICTURES
Galina V. Arzamastseva, Mikhail G. Evtikhov, Feodor V. Lisovsky, Ekaterina G. Mansvetova
Kotel`nikov Institute of Radioengineering and Electronics, Fryazino Branch, Russian Academy of Sciences, http://fire.relarn.ru
Fryazino, Moscow region 141120, Russian Federation
arzamastseva@mail.ru, emg20022002@mail.ru, lisf@df.ru, mansvetova_eg@mail.ru


Abstract. An experimental investigation of diffraction of the collimated light beam (with a wavelength of 0.63 µm) in the zone of Fraunhofer by obtained with computer images of fractals, which are transferred onto a transparent film using an imagesetter with a resolution of 1333 points/cm (3386 dpi) and the spot size of 7.5 µm. Diffraction pattern were visually observed on the screen and recorded using a digital camera and then transferred to the computer for processing. The objects of study were various prefractals of 4th-9th generations: the "classic" (the Sierpinski carpet, a fractal of Vicsek, the Koch snowflake and less known (eg. of L-systems). Observed in experiments diffraction patterns were compared with digitally obtained ones that is, with the Fourier-images of the prefractal pictures, approximated by a mesh function on a uniform square grid at different values of the used in cflculation parameter p, determining the ratio between the ratio of the grid period and the smallest prefractal element size. The relation between the values of the parameters p and the degree of compliance of a digital diffraction patterns to the observed experimentally was determined.

Keywords: light difraction, mesh function, fractal, Fourier image, digital method, experiment

UDC 51.74; 535.42

Bibliography – 18 references
Received 25.09.2017

RENSIT, 2017, 9(1):221-229 DOI: 10.17725/rensit.2017.09.221


Full-text electronic version of this article - web site http://en.rensit.ru/vypuski/article/219/9(2)221-229e.pdf