Skip to main content

Hybrid Transmission Line Matrix — Multipole Expansion (TLMME) Method

  • Conference paper

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 97))

Abstract

The Transmission Line Matrix (TLM) method, as considered here, is a numerical time-domain technique which has been used since its introduction by Johns and Beurle [1] in 1971 to solve various problems in electromagnetic engineering. In TLM the field is discretized in space and time and modeled by wave pulses propagating and being scattered in a mesh of transmission lines. When radiating electromagnetic structures are modeled the appropriate radiating boundary conditions at the boundary of the computational domain need to be included in the computation. In the literature methods to realize absorbing boundary conditions (ABCs) are discussed [2], [3]. However, these methods give only approximate solutions of the problem.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P. B. Johns and R. L. Beurle. Numerical solution of 2-dimensional scattering problems using a transmission-line matrix. Proc. Inst. Elec. Eng., 118: 1203–1208, September 1971.

    Article  Google Scholar 

  2. J. A. Morente, J. A. Porti, and M. Khalladi. Absorbing boundary conditions for the TLM method. IEEE Trans. Microwave Theory Tech., pages 2095–2099, November 1992.

    Google Scholar 

  3. N. Pena and M. M. Ney. Absorbing-boundary conditions using perfectly matched-layer (PML) technique for three-dimensional TLM simulations. IEEE Trans. Microwave Theory Tech., pages 1749–1755, October 1997.

    Google Scholar 

  4. P. Russer. Network-oriented modeling of radiating electromagnetic structures. Turk. J. Elec. Engin., 10 (2): 147–162, 2002.

    Google Scholar 

  5. Peter Russer, Mauro Mongiardo, and Leopold B. Felsen. Electromagnetic field representations and computations in complex structures III: network representations of the connection and subdomain circuits. Int. J. Numerical Modelling, 15 (1): 127–145, January 2002.

    Article  MATH  Google Scholar 

  6. C. Christopoulos. The Transmission-Line Modeling Method TLM. New York: IEEE Press, 1995.

    Google Scholar 

  7. P. Russer. Electromagnetics, Microwave Circuit and Antenna Design for Communications Engineering. Artech House, Inc., 2003.

    Google Scholar 

  8. L. B. Felsen and N. Marcuvitz. Radiation and Scattering of Waves. IEEE Press, 445 Hoes Lane, PO Box 1331, Piscataway, NJ 08855–1331, second edition, 1994.

    Google Scholar 

  9. K. F. Warnick, R. Selfridge, and D. Arnold. Electromagnetic boundary conditions and differential forms. In IEE Proc. Microwaves, Antennas, Propagat., volume 142, pages 326332, August 1995.

    Google Scholar 

  10. M. Abramowitz and I. A. Stegun. Handbook of Mathematical Functions. Dover Publications, Inc., New York, fifth edition, 1968.

    Google Scholar 

  11. K. P. Heppenheimer, L. Vietzorreck, and P. Russer. Planar antennas on silicon for millimeterwave emitters. Silicon Monolithic Integrated Circuits in RF Systems, 2001, pages 205–209, September 2001.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lorenz, P., Russer, P. (2004). Hybrid Transmission Line Matrix — Multipole Expansion (TLMME) Method. In: Russer, P., Mongiardo, M. (eds) Fields, Networks, Computational Methods, and Systems in Modern Electrodynamics. Springer Proceedings in Physics, vol 97. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07221-9_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-07221-9_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-06296-4

  • Online ISBN: 978-3-662-07221-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics