2008-12-08
Combining Pseudospectral Discretization with Method of Lines in Full-Wave Analysis of Cylindrical Microstrip
By
Progress In Electromagnetics Research Letters, Vol. 5, 109-121, 2008
Abstract
In this article, method of lines combined with pseudospectral discretization has extended to the analysis of the characteristics of open cylindrical substrate microstrip lines. Numerical results show that the combination benefits from the two methods and has higher efficiency and it is a powerful alternative analytic tool.
Citation
Zhenhong Fan, and Ru-Shan Chen, "Combining Pseudospectral Discretization with Method of Lines in Full-Wave Analysis of Cylindrical Microstrip," Progress In Electromagnetics Research Letters, Vol. 5, 109-121, 2008.
doi:10.2528/PIERL08101801
References

1. Chang, H.-W. and M.-H. Sheng, "Field analysis of dielectric waveguide devices based on coupled transverse-mode integral equation — mathematical and numerical formulations," Progress In Electromagnetics Research, Vol. 78, 329-347, 2008.
doi:10.2528/PIER07091002        Google Scholar

2. Singh, V., Y. K. Prajapati, and J. P. Saini, "Modal analysis and dispersion curves of a new unconventional bragg waveguide using a very simple method," Progress In Electromagnetics Research, Vol. 64, 191-204, 2006.
doi:10.2528/PIER06071101        Google Scholar

3. Hernandez-Lopez, M. A. and M. Quintillan-Gonzalez, "A finite element method code to analyse waveguide dispersion," J. of Electromagn. Waves and Appl., Vol. 21, No. 3, 397-408, 2007.
doi:10.1163/156939307779367396        Google Scholar

4. Zhou, X. and G. W. 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

5. Tang, M. and J. F. Mao, "Transient analysis of lossy nonuniform transmission lines using a time-step integration method," Progress In Electromagnetics Research, Vol. 69, 257-266, 2007.
doi:10.2528/PIER06123001        Google Scholar

6. Pregla, R. and W. Pascher, "The method of lines," Numerical Techniques for Microwave and Millimeter-wave Passive Structures, T. Itoh (ed.), 381-446, Wiley, New York, 1989.        Google Scholar

7. Chen, R. S. and D. G. Fang, "Analysis of the open microstrip lines by method of lines," International Journal of Microwave and Millimeter Wave CAD Engineering, Vol. 3, No. 2, 109-113, 1993.
doi:10.1002/mmce.4570030203        Google Scholar

8. Preglas, R., "MOL-BPM method of lines based beam propagation method," Progress In Electromagnetics Research, Vol. 11, 51-102, 1995.        Google Scholar

9. Pregla, R., "Higher order approximation for the difference operators in the method of lines," IEEE Microwave and Guided Wave Lett., Vol. 5, No. 2, 53-55, Feb. 1995.
doi:10.1109/75.342150        Google Scholar

10. Helfert, S. F., "Applying oblique coordinates in the method of lines," Progress In Electromagnetics Research, Vol. 61, 271-278, 2006.
doi:10.2528/PIER06041204        Google Scholar

11. Xu, Y., "Application of the method of lines to solve problems in cylindrical coordinates," Microwave and Optical Technology Letters, Vol. 1, No. 5, 173-175, July 1988.
doi:10.1002/mop.4650010508        Google Scholar

12. Chen, R. S., D. G. Fang, and X. G. Li, "Analysis of open microstrip lines by MOL," International Journal of Microwave and Millimeter-wave Computer-aided Engineering, Vol. 3, No. 2, 109-113, 1993.
doi:10.1002/mmce.4570030203        Google Scholar

13. Xiao, S., et al. "Analysis of cylindrical transmission lines with the method of lines," IEEE Trans. Microwave Theory Tech., Vol. 44, No. 7, 993-999, July 1996.
doi:10.1109/22.508630        Google Scholar

14. Fornberg, B., A Practical Guide to Pseudospectral Methods, Cambridge University Press, 1996.

15. Chen, R. S., E. K. N. Yung, K. Wu, and Y. F. Han, "The generalized method of lines based on discretisation technique of pseudospectral method," Microwave and Optical Technology Letters, Vol. 20, No. 5, 249-254, 1999.        Google Scholar

16. Chen, R. S., D. X. Wang, E. K. N. Yung, and K. Wu, "Analysis of three-dimensional MMIC by spectral-pseudospectral domain technique," Microwave and Optical Technology Letters, Vol. 31, No. 5, Dec. 5, 2001.        Google Scholar

17. Chen, R. S., Z. H. Fan, E. K. N. Yung, and C. H. Chan, "Hybrid mode analysis of microstrip lines by the method of lines with pseudospectral discretization," Microwave and Optical Technology Letters, Vol. 35, No. 3, 224-227, 2002.
doi:10.1002/mop.10563        Google Scholar

18. Sarkar, T., "Finite difference frequency-domain treatment of open transmission structures," IEEE Trans. Microwave Theory Tech., Vol. 38, 1609-1616, 1990.
doi:10.1109/22.60006        Google Scholar

19. Hofmann, H., "Relative convergence in mode-matching solutions of microstrip problems," Electronics LettersL, Vol. 10, No. 8, 126-127, 1974.
doi:10.1049/el:19740096        Google Scholar