Skip to main content
SpringerLink
Log in

Algorithms for anisotropic and bianisotropic Maxwell’s equations in unbounded media

  • Published:
Journal of the Korean Physical Society Aims and scope Submit manuscript

Abstract

The Fourier transform and the matrix representation of Maxwell’s inhomogeneous equations allow an analytic approach to the field calculation in an anisotropic or a bianisotropic medium. The coupling problem between E and H is resolved naturally after the vector differential equations are changed to algebraic equations by using Fourier transform. The Fourier transformed tensor Green’s functions (propagators) are also obtained algebraically in the wave vector k-space from the matrix equations, and these solutions turn out to be equivalent to the results from the traditional wave equations.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. N. Marcuvitz and J. Schwinger, J. Appl. Phys. 22, 806 (1951).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. F. V. Bunkin, J. Exp. Theor. Phys. 32, 338 (1957).

    Google Scholar 

  3. C. T. Tai, Dyadic Green’s Functions in Electromagnetic Theory (IEEE Press, New York, 1971).

    Google Scholar 

  4. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice Hall, 1972).

  5. W. C. Chew, M. S. Tong and B. Hu, Integral Equation Methods for Electromagnetic and Elastic Waves (Morgan & Claypool Publishers 2009).

  6. J. A. Kong, Electromagnetic Wave Theory (John Wiley and Sons, Inc. 1986).

  7. J. Lee and S. Lee, J. Korean Phys. Soc. 57, 55 (2010).

    Article  ADS  Google Scholar 

  8. I. V. Lindell, Methods for Electromagnetic Field Analysis (Oxford University Press 1992)

  9. O. Laporte and G. E. Uhlenbeck, Phys. Rev. 37, 1380 (1931); H. E. Moses, Nuovo Cimento Suppl 7, 1 (1958).

    Article  ADS  MATH  Google Scholar 

  10. G. A. Deschamps, Proc. IEEE, 69, 676 (1981).

    Article  Google Scholar 

  11. F. C. Chang, Appl. Math. Comput. 40, 239 (1990); F. C. Chang, ibid. 170, 1135 (2005).

    MathSciNet  MATH  Google Scholar 

  12. Y. Chen, K. Sun, B. Beker and R. Mittra, IEEE Trans. Educ. 41, 61 (1998).

    Article  Google Scholar 

  13. W. C. Chew, Waves and Fields in Inhomogeneous Media (IEEE Press 1999).

  14. P. G. Cottis, C. N. Vazouras and C. Spyrou, IEEE Trans. Antennas Propag. 47, 154 (1995); P. G. Cottis, C. N. Vazouras and C. Spyrou, ibid. 47, 195 (1999).

    Article  Google Scholar 

  15. F. Olysager and I. V. Lindell, Review of Radio Science: 1999–2002 (URSI 2002), Chap. 8.

  16. W. S. Weiglhofer, IET Microwaves Antennas Propag. 134, 357 (1987).

    Article  ADS  Google Scholar 

  17. A. Eroglu and J. K. Lee, Prog. Electromagn. Res. 58, 223 (2006).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electronic Engineering, Semyung University, Jecheon, 390-711, Korea

    Seoktae Lee

  2. Department of Physics, Sungkyunkwan University, Suwon, 440-746, Korea

    Ilyoung Lee

Authors
  1. Seoktae Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ilyoung Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Seoktae Lee.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lee, S., Lee, I. Algorithms for anisotropic and bianisotropic Maxwell’s equations in unbounded media. Journal of the Korean Physical Society 60, 739–743 (2012). https://doi.org/10.3938/jkps.60.739

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3938/jkps.60.739

Keywords

Search

Navigation