Buradasınız

WIENER-HOPF TECHNIQUE AND SOME SPECIAL GEOMETRIES

Journal Name:

Publication Year:

Author Name
Abstract (2. Language): 
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.
1265-1270

REFERENCES

References: 

[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,ӆber 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.
[10] M. İdemen, “A new method to obtain exact
solutions of vector Wiener-Hopf equations”,
Z.Angew. Math.Mech., Vol.59, pages 656-658,
1979.
[11] 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.
[13] 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.
[16] A.Büyükaksoy and E.Erdoğan, “Mixed
Boundary Value Problems”, Lecture Notes,
Istanbul Technical University, 1992.

Thank you for copying data from http://www.arastirmax.com