Моделирование и аппроксимация характеристик рассеяния элементарных отражателей
Работая с сайтом, я даю свое согласие на использование файлов cookie. Это необходимо для нормального функционирования сайта, показа целевой рекламы и анализа трафика. Статистика использования сайта обрабатывается системой Яндекс.Метрика
Научный журнал Моделирование, оптимизация и информационные технологииThe scientific journal Modeling, Optimization and Information Technology
Online media
issn 2310-6018

Modeling and approximation of scattering characteristics of elementary reflectors

idPreobrazhensky A.P., idAvetisyan T.V., Preobrazhensky Y.P. 

UDC 621.396
DOI: 10.26102/2310-6018/2025.50.3.015

  • Abstract
  • List of references
  • About authors

Tasks related to the modeling of various electrodynamic objects are encountered in radar, design of electrodynamic devices, measures to reduce radar visibility, development of antennas and diffraction structures. In general, on the basis of the decomposition method, electrodynamic objects can be represented as a set of various elementary components. The scattering properties of the entire object are determined by the scattering properties of each of the components. To determine such characteristics, it is necessary, in general, to rely on the appropriate numerical methods. For a fairly limited number of diffraction structures, various analytical expressions are given in the literature. In some cases, they are quite bulky and require some experience from researchers in the course of use. The paper proposes to approximate the characteristics of elementary reflectors based on the method of least squares and Lagrange polynomials. On the basis of the study, the values of the powers of approximating polynomials were determined, which give an error that does not exceed the specified value. The results of the work can be used in the design of diffraction structures. Based on the results obtained, the time for calculating scattering characteristics will be reduced.

1. Kravchenko I.S., Michurin V.V. Method of Forming Radar Portraits of Extended Objects. Radioengineering. 2021;85(5):28–33. (In Russ.). https://doi.org/10.18127/j00338486-202105-03

2. Gurinov A.V., Voronov A.A. On the Problems of Assessing the Radar Characteristics of Objects. In: Sovremennye instrumental'nye sistemy, informatsionnye tekhnologii i innovatsii: sbornik nauchnykh trudov XVII Mezhdunarodnoi nauchno-prakticheskoi konferentsii, 17–18 March 2022, Kursk, Russia. Kursk: Southwest State University; 2022. P. 151–154. (In Russ.).

3. Pafikov E.A., Smyshlyaev D.V., Tychkov A.Yu. The Technique of Spatial-Temporal Modeling of the Position Brilliant Points of the Object, Taking into Account the Dynamics of Its Movement. News of the Tula State University. Technical Sciences. 2023;(12):265–267. (In Russ.).

4. Merkishin G.V. Sintez strukturnogo izobrazheniya nablyudaemykh ob"ektov po binarnym otnosheniyam "blestyashchikh" tochek. Aerospace MAI Journal. 2011;18(1):169–174. (In Russ.).

5. Agakhanov S.A., Balamirzoev A.G., Ragimkhanova G.S., Rizaev M.K. Behavior of Lagrange's Interpolation Polynomials in the Roots of Chebyshev's Polynomials of the Function Sign (x) near Zero. Dagestan State Pedagogical University Journal. Natural and Exact Sciences. 2020;14(2):5–14. (In Russ.).

6. Gretsov A.V., Maksimenko L.V. Priblizhenie funktsii na osnove preobrazovaniya interpolyatsionnogo polinoma Lagranzha. OP&PM Surveys on Applied and Industrial Mathematics. 2019;26(2):154–155. (In Russ.).

7. Korbut D.V. Realizatsiya interpolyatsii pri pomoshchi polinoma N'yutona v elektronnykh tablitsakh sredstvami yazyka VBA. In: Upravlenie informatsionnymi resursami: materialy XX Mezhdunarodnoi nauchno-prakticheskoi konferentsii, 29 March 2024, Minsk, Belarus. Minsk: Academy of Public Administration Under the Aegis of the President of the Republic of Belarus; 2024. P. 454–458. (In Russ.).

8. Golovanchikov A.B., Doan M.K., Petrukhin A.V., Merentsov N.A. Comparison of the Accuracy of Experimental Data Approximation Using the Least Relative Squares Method with the Least Squares Method. Modeling, Optimization and Information Technology. 2020;8(1). (In Russ.). https://doi.org/10.26102/2310-6018/2020.28.1.042

9. Golovanchikov A.B., Minh C.D., Shibitova N.V. The Approximation of Experimental Data Using the Least Squares Method and the Least Relative Squares Method. Energy and Resource Saving: Industry and Transport. 2019;(1):42–44. (In Russ.).

10. Garbuzov V.V., Shabrov S.A. A Priori Estimates of the Solution of the Boundary Value Problem. Bulletin of the Voronezh Institute of High Technologies. 2022;16(1):15–18. (In Russ.).

11. Indenbom M.V., Skuratov V.A. Modal Approach to the Method of Calculating Axisymmetric Array Antennas Taking into Account Interaction of Slot Elements Based on the Electromagnetic Field Expansion in Terms of the Eigenfunctions of the Outer Region of the Antenna Surface. Radioengineering. 2021;85(5):117–131. (In Russ.). https://doi.org/10.18127/j00338486-202105-00

12. Kaloshin V.A., Luu D.T. Solution of the Problem of Radiation From the Open End of an Irregular Waveguide by the Hybrid Method. Journal of Radio Electronics. 2020;(7). (In Russ.). https://doi.org/10.30898/1684-1719.2020.7.6

13. Preobrazhensky A.P. Modeling and Analysis of the Diffraction Patterns Algorithmization in CAD of Radar Antennas. Voronezh; 2007. 248 p. (In Russ.).

Preobrazhensky Andrey Petrovich
Doctor of Engineering Sciences, Professor

ORCID |

Voronezh Institute of High Technologies

Voronezh, Russian Federation

Avetisyan Tatyana Vladimirovna

ORCID |

Voronezh Institute of High Technologies

Voronezh, Russian Federation

Preobrazhensky Yuri Petrovich
Candidate of Engineering Sciences, Docent

Voronezh Institute of High Technologies

Voronezh, Russian Federation

Keywords: modeling, approximation, edge wave method, modal method, diffraction structure

For citation: Preobrazhensky A.P., Avetisyan T.V., Preobrazhensky Y.P. Modeling and approximation of scattering characteristics of elementary reflectors. Modeling, Optimization and Information Technology. 2025;13(3). URL: https://moitvivt.ru/ru/journal/pdf?id=1882 DOI: 10.26102/2310-6018/2025.50.3.015 (In Russ).

24

Full text in PDF

Received 15.04.2025

Revised 17.06.2025

Accepted 10.07.2025