Effect of smoothing of a finite wedge-shaped object on the scattering characteristics of a plane wave. Part І. Solution construction

Authors

DOI:

https://doi.org/10.17721/1812-5409.2024/2.5

Keywords:

method of partial regions, plane wave, point wise conjugation of fields, Helmholtz equation, boundary conditions

Abstract

The purpose of this work is to construct a numerical analytical solution to the problem of plane wave scattering on a model in the form of a finite wedge-shaped object with a smoothed surface. Such an object is a simplified model of an airplane wing profile. The obtained solution will make it possible to evaluate the influence of the smoothing radius and the conductivity of the smoothing surface on the dispersion characteristics of a plane harmonic wave. This article is the first part of this work. It discusses the method of partial regions, thanks to which it is possible to construct an analytical solution. The peculiarities of applying the method of partial regions specifically to this model of the object are indicated, the application of point wise conjugation of fields on the boundaries of partial regions is considered.

Pages of the article in the issue: 29 - 32

Language of the article: Ukrainian English

References

Bowman, J. I., Senior, N. B. A., & Uslenghi, P. L. T. (1969). Electromagnetic and acoustic scattering by simple shaper. North-Holland Publ. Co.

Chatzigeorgiadis, F. (2004). Development of code for a physical optics radar cross section prediction and analysis application. Naval

Postgraduate School.

Felsen, L., & Marcuvitz, N. (1973). Radiation and Scattering of Waves. Prentice-Hall, Inc., Englewood Cliffs.

Grinchenko, V. T. (1996). Development of the method for solving problems of sound radiation and scattering in non-canonical areas,

Hydromechanics, 70, 27–40.

Grinchenko, V. T., & Husak, V. O., & Matsypura, V. T. (2021). The use of two variants of conjugation of wave fields in the method of partial

domains. Journal of Computational and Applied Mathematics, 2(136), 5–16. https://doi.org/10.17721/2706-9699.2021.2.01

Knott, E. F., Shaeffer, J. F., & Tuley, M. T. (1993). Radar Cross Section. Artech House.

Max Chung, S. S., Chou, Y. H., & Chuang, Y. C. (2016). Radar Cross Section Analysis of Stealth Fighter Design: Key Factors and Limitations

of Simulation. International Journal of Electrical Engineering, 23(6), 201–214.

Skolnik, M. I. (2008). Radar Handbook. McGrow-Hill.

Skudrzyk, E. (1971). The Foundations of Acoustics. Springer.

Ufimtsev, P. Y. (2006). Improved theory of acoustic elementary edge waves. The Journal of the Acoustical Society of America, 120(2),

631–635. https://doi.org/10.1121/1.2211447

Ufimtsev, P. Y. (2007). Fundamentals of the Physical Theory of Diffraction. John Wiley & Sons, Inc.

Downloads

Published

2025-01-29

How to Cite

Lebedyeva, I., Grinchenko, V., & Matsypura, V. (2025). Effect of smoothing of a finite wedge-shaped object on the scattering characteristics of a plane wave. Part І. Solution construction. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, 79(2), 29–32. https://doi.org/10.17721/1812-5409.2024/2.5

Issue

Section

Differential equations, mathematical physics and mechanics