volume | PIER Journals

Abstract

This work investigates the unique numerical dispersion behavior of the Compact-FDTD method for waveguide analysis, especially when the waveguide dimensions are much larger than the operating wavelength as in high-frequency EMC analysis or radio-wave propagation in tunnels. The divergence of this dispersion behavior from the standard FDTD algorithm is quantified and a major source of dispersion error is isolated and effectively eliminated. Optimized modeling parameters in terms of appropriate spatial and temporal resolutions are generated for computationally efficient and error-free numerical simulations of electrically large waveguiding structures.

1. Xiao, S., R. Vahldieck, and H. Jin, "Full-wave analysis of guided wave structures using a novel 2-D FDTD," IEEE Microwave Guided Wave Lett., Vol. 2, No. 5, 165-167, 1992.
doi:10.1109/75.134342 Google Scholar

2. Jin, H., R. Vahkdieck, and S. Xiao, "An improved TLM fullwave analysis using a two dimensional mesh," IEEE MTT-S Int. Microwave Symp., No. 6, 675-677, 1991.
doi:10.1109/MWSYM.1991.147093 Google Scholar

3. Asi, A. and L. Shafai, "Dispersion analysis of anisotropic inhomogeneous waveguides using compact 2D-FDTD," Electron. Lett., Vol. 28, No. 15, 1451-1452, 1992.
doi:10.1049/el:19920923 Google Scholar

4. Xiao, S. and R. Vahldieck, "An efficient 2-D FDTD algorithm using real variables," IEEE Microwave Guided Wave Lett., Vol. 3, No. 5, 127-129, 1993.
doi:10.1109/75.217204 Google Scholar

5. Luo, S. and Z. Chen, "An efficient modal FDTD for absorbing boundary conditions and incident wave generator in waveguide structures," Progress In Electromagnetics Research, Vol. 68, 229-246, 2007.
doi:10.2528/PIER06090506 Google Scholar

6. Gokten, M., A. Z. Elsherbeni, and E. Arvas, "The multiresolution frequency domain method for general guided wave structures," Progress In Electromagnetics Research, Vol. 69, 55-66, 2007.
doi:10.2528/PIER06112002 Google Scholar

7. Mahmoud, S. F., "Modal propagation of high frequency electromagnetic waves in straight and curved tunnels within the earth," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 12, 1611-1627, 2005.
doi:10.1163/156939305775537401 Google Scholar

8. Pingenot, J., R. N. Rieben, D. A. White, and D. G. Dudley, "Full wave analysis of RF signal attenuation in a lossy rough surface cave using a high order time domain vector finite element method," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 12, 1695-1705, 2006.
doi:10.1163/156939306779292408 Google Scholar

9. Lu, J., B.-I. Wu, and J. A. Kong, "Guided Modes with a linearly varying transverse field inside a left-handed dielectric slab," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 5, 689-697, 2006.
doi:10.1163/156939306776137728 Google Scholar

10. Liu, F., J. E. Schutt-Aine, and J. Chen, "Full-wave analysis and modelling of multiconductor transmission lines via 2-D-FDTD and signal-processing techniques," IEEE Trans. Microwave Theory Tech., Vol. 50, No. 2, 570-577, 2002.
doi:10.1109/22.982237 Google Scholar

11. Pile, D. F. P., "Compact-2d fdtd for waveguides including materials with negative dielectric permittivity, magnetic permeability and refractive index," Applied Physics B: Lasers and Optics, Vol. 81, No. 5, 607-613, 2005.
doi:10.1007/s00340-005-1916-0 Google Scholar

12. Zhao, A. P., J. Juntunen, and A. V. Raisanen, "Relationship between the compact complex and real variable 2-D FDTD methods in arbitrary anisotropic dielectric waveguides," IEEE MTT-S Int. Microwave Symp., Vol. 1, No. 6, 83-87, 1997. Google Scholar

13. Wang, B.-Z., W. Shao, and Y. Wang, "2-d FDTD method for exact attenuation constant extraction of lossy transmission lines," IEEE Microwave Wireless Compon. Lett., Vol. 14, No. 6, 289-291, 2004.
doi:10.1109/LMWC.2004.828004 Google Scholar

14. Cangellaris, A. C., "Numerical stability and numerical dispersion of a compact 2D-FDTD method used for the dispersion analysis of waveguides," IEEE Microwave Guided Wave Lett., Vol. 3, No. 1, 3-5, 1993.
doi:10.1109/75.180672 Google Scholar

15. Zhang, J. and T. Y. Hsiang, "Dispersion characteristics of coplanar waveguides at subterahertz frequencies," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 10, 1411-1417, 2006.
doi:10.1163/156939306779276767 Google Scholar

16. Maurya, S. N., V. Singh, B. Prasad, and S. P. Ojha, "Modal analysis and waveguide dispersion of an optical waveguide having a cross-section of the shape of a cardioid," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 8, 1021-1035, 2006.
doi:10.1163/156939306776930277 Google Scholar

17. Johnk, C. T., Engineering Electromagnetic Fields and Waves, 2nd edition, 1988.

18. Zhou, X. and G. Pan, "Application of Physical Spline Finite Element Method (PSFEM) to fullwave analysis of waveguides," Progress In Electromagnetics Research, Vol. 60, 19-41, 2006.
doi:10.2528/PIER05081102 Google Scholar

19. Xiao, J.-K. and Y. Li, "Analysis for transmission characteristics of similar rectangular guide filled with arbitrary-shaped inhomogeneous dielectric," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 3, 331-340, 2006.
doi:10.1163/156939306775701777 Google Scholar

20. Harrington, R. F., Time-Harmonic Electromagnetic Fields, IEEE Press/Wiley-Interscience, 2001.

21. Hadi, M. F. and R. K. Dib, "Phase-matching the hybrid FV24/S22 FDTD algorithm," Progress In Electromagnetics Research, Vol. 72, 307-323, 2007.
doi:10.2528/PIER07031601 Google Scholar

Prof. Mohammed Hadi

Professor Samir Mahmoud