FRACTALS, SCALING AND FRACTIONAL OPERATORS IN MODERN RADIO ENGINEERING AND ELECTRONICS: THE CURRENT STATE AND DEVELOPMENT

 

A. A. Potapov

Kotel'nikov Institute of Radioengineering and Electronics of RAS

 

Received January 25, 2010

 

 

 

Abstract. The basic results of theoretical and experimental research on fractal theory and applications fulfilled by the author and his colleagues in the IRE RAS since 1980-s are discussed and short systematised. It is shown that fractals, fractional operators and scaling are important research tool and well adapted both to practice, and to abstract designs of modern mathematics.

 

Keywords: fractals, fractional operators, processing of images, antennas, nanostructures.