Skip to main content
SpringerLink
Log in

The Method of Regularization and its Application to Some EM Problems

  • Chapter
Applied Computational Electromagnetics

Part of the book series: NATO ASI Series ((NATO ASI F,volume 171))

  • 486 Accesses

Abstract

The regularization of the integral equations for the solution of electromagnetic problems is discussed. The technique includes a semi-analytic inversion of the integral operator resulting in equation of the Fredholm second kind, which can be solved using numerical inversion. The procedure is employed through Riemann-Hilbert Problem technique for the electromagnetic problems that can be put into a dual-series equation form. An example of the method is described for the E-wave scattering from a cavity-backed aperture.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. K. Kobayashi, and A. Sawai, “Plane Wave Diffraction by an Open-Ended Parallel-Plate Waveguide Cavity,” J. Electromag. Waves Appl., vol. 6, pp. 475–512, 1992.

    Article  Google Scholar 

  2. Z. S. Agranovich, V. A. Marchenko and V. P. Shestopalov, “Diffraction of a Plane Electromagnetic Wave from Plane Metallic Lattices,” Soviet Physics-Tech. Physics., vol. 7, pp. 277–286, 1962.

    Google Scholar 

  3. A. I. Nosich, “Green’s Function-Dual Series Approach in Wave Scattering by Combined Resonant Scatterers,” in M. Hashimoto, M. Idemen and O. A. Tretyakov (eds.), Analytical and Numerical Methods in EM Wave Theory, Tokyo, Science House, pp. 419–469, 1992.

    Google Scholar 

  4. A. I. Nosich, Electromagnetic Characterization of Unclosed Circular Cylindrical Screens, Ph.D. Dissertation, Kharkov University, 1979 (in Russian).

    Google Scholar 

  5. R. W. Ziolkowski, “N-series Problems and the Coupling of Electromagnetic Waves to Apertures: A Riemann-Hilbert Approach,” Soc. Industrial Appl. Math., vol. 16, no. 2, 1985.

    Google Scholar 

  6. R. W. Ziolkowski and J. B. Grant, “Scattering from Cavity-Backed Apertures: The Generalized Dual Series Solution of the Concentrically Loaded E-Pol Slit Cylinder Problem,” IEEE Trans. Antennas Propagat., vol. 35, no. 5, pp. 504–528, May 1987.

    Article  Google Scholar 

  7. W. A. Johnson and R. W. Ziolkowski, “The Scattering of an H-Polarized Plane Wave from an Axially Slotted Infinite Cylinder: A Dual Series Approach,” Radio Science, vol. 19, no.1, pp. 275–291, Jan. 1984.

    Article  Google Scholar 

  8. D. Colak, A. I. Nosich and A. Altintas, “RCS Study of Cylindrical Cavity-Backed Apertures with Outer or Inner Material Coating: The Case of E-Polarization,” IEEE Trans. Antennas Propagat., vol. 41, no. 11, pp. 1551–1559, Nov. 1993.

    Article  Google Scholar 

  9. D. Colak, A. I. Nosich and A. Altintas, “RCS Study of Cylindrical Cavity-Backed Apertures with Outer or Inner Material Coating: The Case of H-Polarization,” IEEE Trans. Antennas Propagat., vol. 43, no. 5, pp. 440–447, May 1995.

    Article  Google Scholar 

  10. T. Oguzer, A. Altintas, and A. I. Nosich, “Accurate Simulation of Reflector Antennas by the Complex-Source Dual-Series Approach,” IEEE Trans. Antennas Propagat., vol. 43, no. 8, pp. 793–801, Aug. 1995.

    Article  Google Scholar 

  11. A. I. Nosich, V. B. Yurchenko and A. Altintas, “Numerically Exact Analysis of a Two-Dimensional Variable-Resistivity Reflector Fed by a Complex- Point Source,” IEEE Trans. Antennas Propagat., vol. 45, no. 11, pp. 1592–1601, Nov. 1997.

    Article  MathSciNet  MATH  Google Scholar 

  12. S. Koshikawa, D. Colak, A. Altintas, K. Kobayashi and A. I. Nosich, “A Comparative Study of RCS Predictions of Canonical Rectangular and Circular Cavities with Double-Layer Material Loading,” IEICE Trans. Electron., vol. E80-C, pp. 1457–1466, Nov. 1997.

    Google Scholar 

  13. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, New York: Dover, 1965

    Google Scholar 

  14. P. M. Morse and H. Feshbach, Methods of Theoretical Physics, vol. 1, New York: McGraw-Hill, 1953, sec. 8.2, pp. 907–925.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electrical and Electronics Engineering, Bilkent University, 06533, Ankara, Bilkent, Turkey

    Ayhan Altintaş

  2. Institute of Radiophysics and Electronics Ukrainian Academy of Sciences, 310085, Kharkov, Ukraine

    Alexander I. Nosich

Authors
  1. Ayhan Altintaş
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Alexander I. Nosich
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, National Technical University of Athens, 9, Iroon Polytechniou Str., 15780, Zografos, Athens, Greece

    Nikolaos K. Uzunoglu , Konstantina S. Nikita  & Dimitra I. Kaklamani ,  & 

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Altintaş, A., Nosich, A.I. (2000). The Method of Regularization and its Application to Some EM Problems. In: Uzunoglu, N.K., Nikita, K.S., Kaklamani, D.I. (eds) Applied Computational Electromagnetics. NATO ASI Series, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59629-2_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-59629-2_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64059-9

  • Online ISBN: 978-3-642-59629-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation