Dergiler / Istanbul University Journal of Electrical and Electronics Engineering / 2005 / Cilt: 5 - Sayı: 1

Wiener-Hopf technique and some special geometries

Sayfa
1265–1270
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In order to outline the theory, five types of Wiener-Hopf geometries and solution methods for the diffraction of electromagnetic waves from these geometries were investigated.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:It is not always possible to obtain rigorous analytical solutions to diffraction problems because of geometrical and physical complexity of most scattering surfaces.
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Temel Bulgular & Veri:Wiener-Hopf (WH) method is applicable to plane discontinuities like two or three -part plane problems, open structures like an infinite set of parallel half-planes and closed structures like parallel plate waveguide.
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Sonuç & Katkı:In order to outline the theory, five types of Wiener-Hopf geometries and solution methods for the diffraction of electromagnetic waves from these geometries were investigated.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

It is not always possible to obtain rigorous analytical solutions to diffraction problems because of geometrical and physical complexity of most scattering surfaces. Wiener-Hopf (WH) method is applicable to plane discontinuities like two or three -part plane problems, open structures like an infinite set of parallel half-planes and closed structures like parallel plate waveguide. The main purpose of this study is to give an overview of the Wiener-Hopf technique, related factorization and decomposition methods. In order to outline the theory, five types of Wiener-Hopf geometries and solution methods for the diffraction of electromagnetic waves from these geometries were investigated.

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Bu Makaleye Atıf Yap

YILDIRIM, O. (2022). Wiener-Hopf technique and some special geometries. Istanbul University Journal of Electrical and Electronics Engineering, Cilt: 5 - Sayı: 1, 1265–1270. https://ajindex.com/articles/543844

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Kaynakça (12)

  1. A.Sommerfeld, “Mathematische Theorie der Diffraction”, Math. Ann., Vol.47, pages 317-374, 1986
  2. N.Wiener and R.E. Paley,” Fourier Transforms in the Complex Domain”, American Mathematical Society, NY, pages 49-58, 1934
  3. W.Magnus,”Über die Beugung electromagnetische Wellen an einer Halbebene”, Z.Phys., Vol.117, pages 168-179, 1941
  4. J.F. Carlson and A.E. Heins, “The reflection of an electromagnetic plane wave by an infinite set of plates, I”, Quart. Appl. Math., Vol.4, pages 313-329, 1947
  5. H.Levine and J. Schwinger, “ On the radiation of sound from an unflanged circular pipe”, Phys.Rev., Vol.73, pages 338-406, 1948
  6. P.C.Clemmow, “ A method for the exact solution of a class of two-dimensional diffraction problems”,Proc.Roy.Soc.London,Ser.A, Vol.205, pages 286-308, 1951
  7. D.C. Jones, “A simplifying technique in the solution of a class of diffraction problems”, Quart.J.Math.Oxford (2), Vol.3, pages 189-196, 1952
  8. R.A. Hurd, “The Wiener-Hopf-Hilbert method for diffraction problems”, Can.J.Phys., Vol.54, pages 775-780, 1976. [9]E.Lüneburg and R.A.Hurd, “Diffraction by an infinite set of hard and soft parallel half planes”, Can.J.Phys.,Vol.60, pages 1-9, 1982
  9. M. İdemen, “A new method to obtain exact solutions of vector Wiener-Hopf equations”, Z.Angew. Math.Mech., Vol.59, pages 656-658, 1979
  10. G.Uzgören and A.Büyükaksoy, First Order Canonical Problems in Geometrical Theory of Diffraction (In Turkish), Yıldız Teknik Üniversitesi Matbaası, Istanbul, 1987. [12]H.Serbest, “Bir Küresel Reflektörün Içinde Yayılan Yüzey Dalgalarının Ayrıttan Saçılması”, Doktora Tezi, İTÜ,1982
  11. A.D. Rawlins and W.E. Williams, “Matrix Wiener-Hopf factorization”, Quart. J.Mech. Appl. Math., Vol.34, pages 1-8, 1981. 14] K.Kobayashi, “The Wiener-Hopf Technique and Its Applications to Diffraction Problems Involving two Dimensional Obstacles with Finite Cross Section”, Lecture Notes for the short course given at Department of Electrical and Electronics Engineering,, Adana, Turkey, 1993. [15].M.İdemen, “Diffraction Theory”, Lecture Notes, Istanbul Technical University, 1992
  12. A.Büyükaksoy and E.Erdoğan, “Mixed Boundary Value Problems”, Lecture Notes, Istanbul Technical University, 1992.