Effect of smoothing of a finite wedge-shaped object on the scattering characteristics of a plane wave. Part II. Analysis of numerical results

Authors

  • Viktor Grinchenko Institute of Hydromechanics of NASU, Kyiv, Ukraine
  • Iryna Lebedyeva Taras Shevchenko National University of Kyiv https://orcid.org/0000-0001-7150-1310
  • Volodymyr Matsypura Taras Shevchenko National University of Kyiv
  • Tihomir Trifonov University of Veliko Turnovo St Cyril and St Methodius, Veliko Turnovo, Bulgaria

DOI:

https://doi.org/10.17721/1812-5409.2025/2.12

Keywords:

inverse scattering cross section, partial domains method, plane wave, point conjugation of fields

Abstract

This article is the second part of the work (Grinchenko, Lebedyeva, & Matsypura, 2024), which is devoted to the problem of scattering of a plane harmonic wave on a finite wedge-shaped object with a smoothed surface (in other words, with rounding). Such an object represents a simplified model of an aircraft wing profile. For this model, based on the solution obtained within the limits of the partial domains method, an expression for the inverse scattering cross section is determined. An example of the fulfillment of boundary conditions at the boundary of partial domains is given. Plots of the backscattering cross-section were constructed for different rounding radii of the front edge of the model profile and different conductivities of the rounding surface. It is shown that the backscattering cross-section significantly depends on the radius of the profile rounding and the normal conductivity of the rounding surface. In this case, covering the smoothing surface with an absorbing material significantly reduces, in a certain range of wave incidence angles, the scattered field of the object. The developed numerical-analytical solution makes it possible to perform approximate calculations of the backscattering cross section of the object under variation of its geometric and physical parameters over a wide range.

Pages of the article in the issue: 91 - 94

Language of the article: Ukrainian

References

Daniele, V., & Lombardi, G. (2020). Scattering and Diffraction by Wedges 1: the Wiener-Hopf Solution-Theory. John Wiley & Sons.

Emig, T. (2024). Surface scattering expansion for the Casimir-Polder interaction of a dielectric wedge. Physical Review A, 110(6), 062809. https://doi.org/10.1103/PhysRevA.110.062809

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

Grinchenko, V. T., Lebedyeva, I. V., & Matsypura, V. T. (2024). Effect of smoothing of a finite wedge-shaped object on the scattering characteristics of a plane wave. Part І. Solution construction. Bulletin of the Taras Shevchenko National University of Kyiv. Physics and Mathematics, 79(2), 29–32. https://doi.org/10.17721/1812-5409.2024/2.5

Grinchenko, V. T., Vovk, I. V., & Matsypura, V. T. (2018). Acoustic wave problems. Begell House, Inc.

Grzesik, J A. (2019). Dielectric Wedge Scattering: An Analytic Inroad. Progress In Electromagnetics Research B, 84, 43–60. https://doi.org/10.2528/PIERB19013001

Hacivelioglu, F., Sevgi, L., & Ufimtsev, P. Y. (2011).Electromagnetic wave scattering from a wedge with perfectly reflecting boundaries: Analysis of asymptotic techniques. IEEE Antennas & Propagation Magazine, 53(3), 232–253. https://doi.org/10.1109/MAP.2011.6028472

Monzon, C., Forester, D., & Loschialpo, P. (2005). Exact solution to line source scattering by an ideal left-handed wedge. Physical Review E, 72(5), 056606. https://doi.org/10.1103/PhysRevE.72.056606

Sommerfeld, A. (2004). Mathematical Theory of Diffraction. Springer Science+Business. https://doi.org/10.1007/978-0-8176-8196-8

Downloads

Published

2025-12-23

Issue

Section

Differential equations, mathematical physics and mechanics

How to Cite

Grinchenko, V., Lebedyeva, I., Matsypura, V., & Trifonov, T. (2025). Effect of smoothing of a finite wedge-shaped object on the scattering characteristics of a plane wave. Part II. Analysis of numerical results. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, 81(2), 91-94. https://doi.org/10.17721/1812-5409.2025/2.12