Skip to main content

Appraisal of Asymptotics in Electromagnetic Field Calculations

  • Conference paper
Book cover Scientific Computing in Electrical Engineering

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 18))

  • 575 Accesses

Abstract

An expression for the electric field of a dipole near a perfectly conducting wedge has been derived to appraise the Uniform Theory of Diffraction (UTD) in regions where it is expected to deviate from the exact solution, e.g. the near field. This expression, obtained using the theory of Green’s functions, has been evaluated using numerical integration. First the solution is verified for the case of a dipole near a ground plane, which can also be calculated using image theory. Next the numerical solution for the near field is compared to results obtained with the UTD-method for different parameter configurations. The most striking difference occurs when the angle of the wedge is sharp and both the source and observer are located within a few wavelengths from the edge.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Baianis, CA.: Antenna Theory. Harper and Row New York (1982)

    Google Scholar 

  2. Büy ük dura, O.M.: Radiation from Sources and Scatters near the Edge of a Perfectly Conducting Wedge. Ph.D. dissertation, The Ohio State University, Columbus, Ohio (1984)

    Google Scholar 

  3. Kedde, M.: The electric field of a dipole near a perfectly conducting wedge. Master’s thesis, University of Twente (1999)

    Google Scholar 

  4. Kouyoumjian, R.G., Pathak, P.H.: A Uniform Geometrical Theory of Diffraction for an Edge in a Perfectly Conducting Surface. Proc. IEEE 62 1448–1461 (1974)

    Article  Google Scholar 

  5. Pathak, P.H., Kouyoumjian, R.G.: The Dyadic Diffraction Coefficient for a Perfectly Conducting Wedge. ElectroScience Lab, Dept. of Electrical Engineering, The Ohio State University, Columbus, Ohio (1970)

    Google Scholar 

  6. Stratton, J.A.: Electromagnetic Theory. McGraw-Hill, New York (1941)

    MATH  Google Scholar 

  7. Tai, C.T.: Dyadic Green’s Functions in Electromagnetic Theory, second edition. IEEE Press Piscataway (1994)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kedde, M., Borsboom, PP., Traas, C.R. (2001). Appraisal of Asymptotics in Electromagnetic Field Calculations. In: van Rienen, U., Günther, M., Hecht, D. (eds) Scientific Computing in Electrical Engineering. Lecture Notes in Computational Science and Engineering, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56470-3_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-56470-3_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42173-3

  • Online ISBN: 978-3-642-56470-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics