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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2024 Volume 36, Number 6, Pages 135–152 (Mi mm4578)

A hybrid model for the calculation of the effective scattering area of the aircraft

A. V. Sysenko, I. A. Tarakanov, F. S. Chukharev

Keldysh Institute of Applied Mathematics RAS

Abstract: The mathematical model for calculating the effective scattering area of an aircraft is presented. The model is based on the use of a two-step approach: calculation of the parameters of the reflected electromagnetic wave in the vicinity of the aircraft (the classical finite-difference method of integrating Maxwell's equations in a limited area of space, including an aircraft, is used), calculation of the attenuation of the reflected electromagnetic wave as it propagates from the aircraft to the radar receiving antenna (the method of Green's functions is used, the sources of which are the parameters of electromagnetic fields at the boundary of the calculation area of the first stage). This approach makes it possible to calculate the effective scattering area of aircraft surrounded by ionized formations formed due to various physical effects.The 3D model is tested on well-known analytical solutions for calculating the effective scattering area for simple geometric bodies (sphere, cylinder, rectangular plate).

Keywords: radar, effective scattering area, Maxwell's equations, reflected electromagnetic wave.

Received: 18.04.2024
Revised: 18.04.2024
Accepted: 17.06.2024

DOI: 10.20948/mm-2024-06-09



© Steklov Math. Inst. of RAS, 2025