**CONCEPTUAL DESIGN OF AIRBORNE
RADAR WITH SYNTHETIC APERTURE ANTENNA (SAR) ON THE BASIS OF “THE FIRST
PRINCIPLES” **

**A. E. Rassadin**

**Nizhny Novgorod Regional Department of A.
S. Popov STSREC **

Received December 12, 2011,
after correction - January 10, 2012

** **

**Abstract.** In this paper methodology of conceptual design of
airborne radar with synthetic aperture antenna (SAR) in the framework of
mathematical technology paradigm is under investigation, moreover main
attention is paid to physical but not phenomenological models. Performance
criterions of design for SAR as a whole system and for its subsystems have been
introduced. Approximation of specific effective dispersion section matrix on
remote sensing data by means of two-dimensional atomic interpolants,
two-dimensional atomic Kravchenko wavelets and two-dimensional generalized
Kotelnikov theorem with vector-parametric atomic functions is considered. On
the basis of the theory of growing interfaces and the classical problem on diffraction
of plane electromagnetic wave by wedge exactly solved models of electrodynamic
properties of surfaces in cold regions of the Earth are constructed.

**Keywords:** conceptual design, system analysis, mathematical
technology, performance criterion, the physical theory of diffraction, SAR,
radar image, atomic functions, method of characteristics, specific effective
dispersion section.