Vol. 10, no.1, 2018
РусскийEnglish
RADIOELECTRONICS
MULTIPLE SCATTERING OF WAVES IN FRACTAL DISCRETE RANDOMLY-INHOMOGENEOUS MEDIA FROM THE POINT OF VIEW OF RADIOLOCATION OF THE SELF-SIMILAR MULTIPLE TARGETS
Alexander A. Potapov
Kotel’nikov Institute of Radioengineering and Electronics, Russian Academy of Science, http://cplire.ru
Moscow 125009, Russian Federation
potapov@cplire.ru
Received 25.12.2017
Abstract. The basic elements of the classical theory of propagation and scattering of electromagnetic waves in randomly inhomogeneous media are considered. A modification of the classical Foldy-Twersky theory is developed for the case of multiple scattering in fractal discrete media. Such a modification of the theory made it possible to include the values of the fractal dimension D and the fractal signature D(r, t) of a disordered large system. The backscattering processes characteristic of radiolocation are investigated. The radar equation for a purely fractal medium is analyzed analytically. It is shown that the fractal signature can be used to study the dependence of volume scattering on distance. The present study continues the author's cycle of studies on the justification of the application of the theory of fractals, physical scaling and fractional operators in radiophysics and radiolocation, initiated by the author for the first time in the USSR in the USSR Academy of Sciences in the late 70s of the 20th century.
Keywords: electromagnetic wave scattering, fractal randomly inhomogeneous media, fractal dimension, fractal signature, radiolocation, fractal targets
UDC 537.876.23, 530.1, 621.396.96
RENSIT, 2018, 10(1):3-22 DOI: 10.17725/rensit.2018.10.003
Full-text electronic version of this article - web site http://en.rensit.ru/vypuski/article/243/10(1)3-22e.pdf