3D-FDTD Method for Analysis of Rectangular Waveguide Loaded with Anisotropic Dielectric Material

Maulana Randa, Achmad Munir


One of the most popular techniques to solve electromagneticproblems numerically is using finite-difference timedomain(FDTD) method. The method has been successfullyapplied to an extremely wide variety of electromagnetic problems.The essential reason resides in the fact that the FDTD methoditself is extremely simple even for analyzing in a three-dimensional(3D) system. In this paper, the analysis of resonant frequencyfor a rectangular waveguide which is loaded with anisotropicdielectric material is numerically investigated based on 3D-FDTDmethod. The wave equations and modes that appear in thewaveguide are analyzed theoretically in which the results areapplied to validate the numerical result obtained from 3D-FDTDmethod. For comparison, an empty rectangular waveguide anda rectangular waveguide fully loaded with isotropic dielectricmaterial are also analyzed both theoretically and numerically.From the result, it shows that a good agreement has been achievedbetween theoretical calculation and 3D-FDTD numerical resultswith their discrepancies of 0.26–2.32%.


3D-FDTD method; anisotropic dielectric material; rectangular waveguide; resonant frequency


M. Samardzija, J. Hirokawa and M. Ando, “Scattering analysis of Hplane T-junction between fully dielectric-filled rectangular waveguide and partially dielectric-filled parallel-plate,” in Proceeding of IEEE Antennas

and Propagation Society International Symposium (AP-S) 2008, San Diego, CA, Jul. 2008, pp.1–4.

R. Zhong, Q. Zheng, J. Peng, B. Yao, W. Xu, T. Xiang and L. Li, “Analysis of inhomogeneously filled cavities by vector finite element method,” in Proceeding of 2nd International Conference on Mechanic Automation and Control Engineering (MACE) 2011, Hohhot, China, Jul. 2011, pp. 1036–1039.

R. Abdullin, S. Knyazev, L. Lesnaya, and S. Shabunin, “Analysis of partially dielectric-filled rectangular waveguide with transverse slots using Green’s function method,” in Proceeding of 7th European Conference on Antennas and Propagation (EuCAP) 2013, Gothenburg, Sweden, Apr. 2013, pp. 3570–3574.

J. Liu, D. R. Jackson and Y. Long, “Modal analysis of dielectric-filled rectangular waveguide with transverse slots,” IEEE Trans. Antennas Propag., Vol. 59, Issue 9, pp. 3194–3203, Sep. 2011.

I. A. Eshrah, A. A. Kishk, A. B. Yakovlev and A. W. Glisson, “Modal analysis of corrugated rectangular waveguides supporting left-hand propagation,” in Proceeding of IEEE Antennas and Propagation Society International Symposium (AP-S) 2005, Washington, USA, Jul. 2005, pp. 664–667.

A. Munir, H. Kubo, A. Sanada and I. Awai, “2-D finite-difference frequency-domain method and its application for dispersion characteristic analysis of ferrite devices,” Microwave and Optical Tech. Lett., Vol. 41, No. 6, pp. 437–439, Jun. 2004.

Y. Liu, S. Safavi-Naeini and S. K. Chaudhuri, “Determination of resonant modes of dielectric resonators using MoM-SIE with combined entiredomain and subdomain basis functions,” IEEE Trans. Antennas Propag., Vol. 53, Issue 2, pp. 883–886, Feb. 2005.

P-J. Chiang, C-L. Wu, C-H. Teng, C-S. Yang and H-C. Chang, “Fullvectorial optical waveguide mode solvers using multidomain pseudospectral frequency-domain (PSFD) formulations,” IEEE J. Quantum Electron, Vol. 44, Issue 1, pp. 56–66, Jan. 2008.

K. L. Tsakmakidis, C. Hermann, A. Klaedtke, C. Jamois and O. Hess, “Systematic modal analysis of 3-D dielectric waveguides using conventional and high accuracy nonstandard FDTD algorithms,” IEEE Photon. Technol. Lett., Vol. 17, Issue 12, pp. 2598–2600, Dec. 2005.

A. Sanada, K. Okubo and I. Awai, “Full-wave finite-difference timedomain formulation for gyromagnetic ferrite media magnetized in arbitrary direction,” IEICE Trans. Electron., Vol. E84-C, No. 7, pp. 931–936, Jul. 2001.

K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equation in isotropic media,” IEEE Trans. Antennas Propag., Vol. AP-14, Issue 3, pp. 302–307, May 1966.

A. Munir, N. Hamanaga, H. Kubo and I. Awai, “Artificial dielectric rectangular resonator with novel anisotropic permittivity and its TE10_ mode waveguide filter application,” IEICE Trans. Electron., Vol. E88C, No. 1, pp. 40-46, Jan. 2005.

A. Taflove and S. C. Hagness, Computational electrodynamics: The finite-difference time-domain method, Artech House, Inc., 2005.

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