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Journal of Electromagnetic Waves and Applications Volume 13, 1999 - Issue 2
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Articles

Solution of Two-Dimensional Helmholtz Equation By Multipole Theory Method

Q. Zheng Department of Physics Yunnan Normal University Kunming, 650092, P.R of China
,
F. Xie Department of Physics Yunnan Normal University Kunming, 650092, P.R of China
&
W. Lin University of Electronic Science and Technology of China Chengdu, 610054, P.R. of China
Pages 205-220 | Published online: 03 Apr 2012

References

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  • Bates , R. H. T. 1969 . The theory of the point-matching method for perfectly conducting waveguides and transmission lines . IEEE Trans. Microwave Theory Tech. , MTT-17 ( No. 6 ) : 294 – 301 .
  • Ng , F. L. 1974 . Tabulation of methods for the numerical solution of the hollow waveguide problem . IEEE Trans. Microwave Theory Tech. , MTT-24 ( No. 3 ) : 322 – 329 .
  • Singh , G. S. and Kothari , L. S. 1984 . On the solution of the twodimensional Helmholtz equation . J. Math. Phys. , 25 ( No. 4 ) : 810 – 811 .
  • Sarkar , T. K. , Athar , K. , Arvas , E. , Manela , M. and Lade , R. 1989 . Computation of the propagation characteristics of TE and TM modes in arbitrarily shaped hollow waveguides utilizing the conjugate gradient method . J. Electromagn. Waves Applic. , 3 ( No. 2 ) : 143 – 165 .
  • Tsuchimoto , M. , Yoneta , A. , Honma , T. and Miya , K. 1992 . An analysis of the scalar Helmholtz equation using the integral equation method . IEEE Trans. Microwave Theory Tech. , MTT-40 ( No. 1 ) : 29 – 33 .
  • Amini , S. and Kirkup , S. M. 1995 . Solution of Helmholtz equation in the exterior domain by elementary boundary integral methods . J. Computational Phys. , 118 : 208 – 221 .
  • Mccartin , B. J. 1996 . A perturbation procedure for nearly rectangular, homogeneously filled, cylindrical waveguides . IEEE Microwave and Guided Wave Letters , 6 ( No. 10 ) : 354 – 356 .

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