Your browser does not support JavaScript!

One- and two-dimensional scattering analysis using a fast numerical method

One- and two-dimensional scattering analysis using a fast numerical method

For access to this article, please select a purchase option:

Buy article PDF
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
IET Microwaves, Antennas & Propagation — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

Most integral equations of the first kind are ill posed, and obtaining their numerical solution often requires solving a linear system of algebraic equations of large condition number. Solving this system may be difficult or impossible. Since many problems in one-dimensional (1D) and 2D scattering from perfectly conducting bodies can be modelled by linear Fredholm integral equations of the first kind, the main focus of this study is to present a fast numerical method for solving them. This method is based on vector forms for representation of triangular functions. By using this approach, solving the first kind integral equation reduces to solving a linear system of algebraic equations. To construct this system, the method uses sampling of functions. Hence, the calculations are performed very quickly. Its other advantages are the low cost of setting up the equations without applying any projection method such as collocation, Galerkin, etc; setting up a linear system of algebraic equations of appropriate condition number and good accuracy. To show the computational efficiency of this approach, some practical 1D and 2D scatterers are analysed by it.


    1. 1)
    2. 2)
      • C.A. Balanis . (1989) Advanced engineering electromagnetics.
    3. 3)
    4. 4)
      • R. Bancroft . (1996) Understanding electromagnetic scattering using the moment method.
    5. 5)
      • L.M. Delves , J.L. Mohamed . (1985) Computational methods for integral equations.
    6. 6)
    7. 7)
    8. 8)
    9. 9)
      • P.K. Kythe , P. Puri . (2002) Computational methods for linear integral equations.
    10. 10)
    11. 11)
    12. 12)
    13. 13)
      • A.N. Tikhonov , V.Y. Arsenin , F. John . (1977) Solutions of ill-posed problems.
    14. 14)
    15. 15)
    16. 16)
    17. 17)
    18. 18)
    19. 19)
    20. 20)
    21. 21)
    22. 22)
    23. 23)
    24. 24)
    25. 25)
    26. 26)

Related content

This is a required field
Please enter a valid email address