Equivalent Image Method for the Analysis of Electrostatic Problems

  • Kim, Eui-Joong (School of Electronic Eng., Kumoh National Institute of Technology) ;
  • Lee, Young-Soon (School of Electronic Eng., Kumoh National Institute of Technology) ;
  • Kim, Kun-Woo (school of Electronic Eng. & Computer Sci., Kyungpook National University) ;
  • Cho, Young-Ki (School of Electronic Eng. & Computer Sci., Kyungpook National University)
  • Published : 2003.05.01

Abstract

For the purpose of numerically efficient analysis for electrostatic problems, an improved equivalent image method, by which infinite exact image of a point charge in parallel-plate and rectangular conducting structures can be replaced by only a few equivalent images, is considered. Through this study, it is observed that the error is of the order of 0.001 % when the present method is used to evaluate electric potential for a point charge in parallel-plate and rectangular conducting planes.

Keywords

References

  1. IEEE Trans. Microwave Theory & Tech. v.39 no.3 A Closed-form spatial Green's function for thick microstrip substrate Y.L.Chow;J.J.Yang;D.G.Fang;G.E.Howard https://doi.org/10.1109/22.75309
  2. IEEE Trans. Microwave Theory & Tech. v.40 no.11 Derivation of closed-form Green's functions for a general microstrip geometry M.I.Aksum;R.Mittra https://doi.org/10.1109/22.168763
  3. IEEE Trans. Microwave Theory & Tech. v.44 no.5 A robust approach for derivation of closed-form Green's functions M.I.Aksun https://doi.org/10.1109/22.493917
  4. IEEE Trans. Microwave Theory & Tech. v.40 Complex Images of an Electric Dipole in Homogeneous and Layered Dielectrics Between Two Ground Planes J.J.Yang;Y.L.Chow;G.E.Howard;D.G.Fang https://doi.org/10.1109/22.121743
  5. Microwave and Optical Tech. Letters. v.16 no.1 Improved complex image method for horizontal magnetic dipole in a parallel-plate waveguide Y.S.Lee;J.K.Kim;H.S.Kwon;Y.K.Cho https://doi.org/10.1002/(SICI)1098-2760(199709)16:1<30::AID-MOP10>3.0.CO;2-8
  6. Electronics Letters v.29 no.16 Complex Images for Electrostatic Problem in Parallel-Plate Conducting Structures and Three Conducting Planes T.J.Cui;J.Chen;C.H.Liang https://doi.org/10.1049/el:19930983
  7. IEEE Trans. Electromagnetic Compatibility v.37 Complex Images of a Point Charge in Rectangular Conducting Planes T.J.Cui;J.Chen;C.H.Liang https://doi.org/10.1109/15.385895