ANALYSIS OF ELECTROMAGNETIC FIELDS IN INHOMOGENEOUS MEDIA BY FOURIER SERIES EXPANSION METHODSTHE CASE OF A DIELECTRIC CONSTANT MIXED A POSITIVE AND NEGATIVE REGIONS

Tsuneki Yamasaki

Abstract

In this paper, we propose a new method for the electromagnetic fields with inhomogeneous media mixed the positive and negative regions which is the combination of improved Fourier series expansion method using the extrapolation method. Numerical results are given for the power reflection and transmission coefficient, the energy absorption, the electromagnetic fields, and the power flow in the inhomogeneous medium mixed the positive and negative regions including the case when the permittivity profiles touches zero for the TM wave. The results of our method are in good agreement with exact solution which is obtained by MMA.

References

  1. Budden K.C., 1961, Radio Waves in the Ionoshere, Cambridge Univ., Press, pp.343-347.
  2. Caloz C. , Itoh T.,2004, Microwave Application of Metamaterial Structures, IEICE Technical Report. Vol.104, No202, pp135-138.
  3. Casey K.F., Matthes J.R. and Yeh C. ,1969, Wave Propagation in Sinusoidally Stratified Plasma Media, J.Math.Phys., Vol.10, no5, pp.891-896.
  4. Casey K.F.,1972, Application of Hill's Function to problem of propagation in Stratified Media, IEEE Tran.Antenas Propagt. ,vol.AP-20, 3, p.369-374.
  5. Freidberg J.P., Mitchell R.W., Morse R.L. , Rudsinski L.I.,1972,Resonant Absorption of Laser Light by Plasma Targets, Phys. Rev. Lett.,Vol.28,no13.,pp.795-799.
  6. Hosono T.,1973, Fundation of Electromagnetic Wave Engineering, p.247, Shioko Publ. Co.(in Japanese) .
  7. Yamaguchi S., Hosono T.,1982, Some Diffculties in Homogeneous Multilayer Apporoximation Method and Their Remedy, IEICE Trans.,Vol.J64-B, no10, pp.1115- 1122 (in Japanese 1981) [translated Scripta Technica, INC., Vol.65-B, No.5 pp.75-83.
  8. Yamasaki,T ,Hinata T.,Hosono H., 1984, Analysis of Electrogagnetic Field in inhomogeneous Media by Foirier Series Expansion Methods, IEICE Trans. Vol.J66-B, no10., pp.1239-1246(in Japanese 1983) [translated Scripta Technica, INC., Vol.67-B, No.6, pp.61-71.
  9. Yamasaki t.,Isono K.,Hinata T., 2004, Analaysis of Electromagnetic Field in Inhomogeneous media by Fourier Series Expansion Method -The case of a dielectric constant mixed in positive/negative medium , Part I ,IEE Technical Reports Japan, EMT-04-121, pp.31-36(in Japanese) .
  10. Yamasaki t.,Isono K.,Hinata T., 2005(a), Analaysis of Electromagnetic Field in Inhomogeneous media by Fourier Series Expansion Method -The case of a dielectric constant mixed in positive/negative medium, Part II, IEE Technical Reports Japan, EMT-05-7, pp.35-40 (in Japanese) .
  11. Yamasaki T., Isono K., Hinata T., 2005(b), Analaysis of Electromagnetic Fields in Inhomogeneous media by Fourier Series Expansion Method -The case of a dielectric constant mixed a positive and negative regions, IEICE Trans. on Electronics, Vol.E88-C, No.12, pp.2216-2222.
  12. Yasuura K., Murayama M., 1986, Numerical Analysis of Diffraction from a Sinusoidal Metal Grating, IEICE Trans.,Vol.J69-B, no2, pp.198-205 (in Japanese).
Download


Paper Citation


in Harvard Style

Yamasaki T. (2013). ANALYSIS OF ELECTROMAGNETIC FIELDS IN INHOMOGENEOUS MEDIA BY FOURIER SERIES EXPANSION METHODSTHE CASE OF A DIELECTRIC CONSTANT MIXED A POSITIVE AND NEGATIVE REGIONS . In Proceedings of the Second International Conference on Telecommunications and Remote Sensing - Volume 1: ICTRS, ISBN 978-989-8565-57-0, pages 30-38. DOI: 10.5220/0004784800300038


in Bibtex Style

@conference{ictrs13,
author={Tsuneki Yamasaki},
title={ANALYSIS OF ELECTROMAGNETIC FIELDS IN INHOMOGENEOUS MEDIA BY FOURIER SERIES EXPANSION METHODSTHE CASE OF A DIELECTRIC CONSTANT MIXED A POSITIVE AND NEGATIVE REGIONS},
booktitle={Proceedings of the Second International Conference on Telecommunications and Remote Sensing - Volume 1: ICTRS,},
year={2013},
pages={30-38},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004784800300038},
isbn={978-989-8565-57-0},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Second International Conference on Telecommunications and Remote Sensing - Volume 1: ICTRS,
TI - ANALYSIS OF ELECTROMAGNETIC FIELDS IN INHOMOGENEOUS MEDIA BY FOURIER SERIES EXPANSION METHODSTHE CASE OF A DIELECTRIC CONSTANT MIXED A POSITIVE AND NEGATIVE REGIONS
SN - 978-989-8565-57-0
AU - Yamasaki T.
PY - 2013
SP - 30
EP - 38
DO - 10.5220/0004784800300038