Skip to main content

The Numerical Domain

  • Chapter
  • 411 Accesses

Abstract

Solutions of Maxwell equations such as those presented in Chapters 2 through 5 are available in a very limited number of canonical cases that may or may not conveniently match analysis, synthesis, and design problems encountered in engineering applications. There is no doubt that these solutions are very important because they shed light on the physics of the problem and are the necessary basis to understand more complicated situations. Concepts like propagation, dispersion, reflection and scattering, finite signal velocity, and so on, can be learned and appreciated only by examining field analytical solutions.

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. D. S. Jones, Methods in Electromagnetic Wave Propagation, IEEE Press, New York (1994).

    Book  Google Scholar 

  2. M. N. O. Sadiku, Numerical Techniques in Electromagnetics, CRC Press, Boca Raton (1992).

    MATH  Google Scholar 

  3. S. Nakamura, Computational Methods in Engineering and Science, Wiley, New York (1977).

    MATH  Google Scholar 

  4. G. H. Golub and C. F. Van Loan, Matrix Computations, Johns Hopkins University Press (1989).

    Google Scholar 

  5. R. F. Harrington, Field Computation by the Moment Method, McMillan, New York (1968).

    Google Scholar 

  6. J. J. H. Wang, Generalized Moment Method in Electromagnetics, Wiley, New York (1991).

    Google Scholar 

  7. J. Jin, The Finite Element Method in Electromagnetics, Wiley, New York (1993).

    MATH  Google Scholar 

  8. G. Pelosi and P. Silvester, Finite Element Wave Electromagnetics, IEEE Press, New York (1994).

    Google Scholar 

  9. K. Hayata, M. Koshiba, M. Eguchi, and M. Suzuki, “Vectorial finite-element method without any spurious solution for dielectric waveguiding problems using transverse magnetic field component,” IEEE Trans. Microwave Theory Tech. MTT-34, 1120–1124 (1986).

    Article  Google Scholar 

  10. A. J. Kobelanski and J. P. Webb, “Eliminating spurious modes in finite-element waveguide problems by using divergence-free fields,” Electron. Lett. 22, 569–570 (1986).

    Article  Google Scholar 

  11. G. Mur, “Absorbing boundary conditions for the finite difference approximation of the time domain electromagnetic field equations,” IEEE Trans. Elec. Comp. EMC-23, 377–382 (1981).

    Google Scholar 

  12. A. Bayliss, M. Gunzburger, and E. Turkei, “Boundary conditions in the numerical solution of electric equations in exterior regions,” SIAM J. Appl. Math. 42, 430–451 (1982).

    Article  MathSciNet  MATH  Google Scholar 

  13. K. Kunz and D. J. Loebbers, The Finite Difference Time-Domain Method for Electromagnetics, CRC Press, Boca Raton (1993).

    Google Scholar 

  14. K. S. Yee, “Numerical solution of initial boundary value problems in solving Maxwell equations in isotropics media,” IEEE Trans. Antennas Propagat. AP-14, 302–307 (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media New York

About this chapter

Cite this chapter

Franceschetti, G. (1997). The Numerical Domain. In: Electromagnetics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0257-3_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-0257-3_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-0259-7

  • Online ISBN: 978-1-4899-0257-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics