2007-12-05
Closed Form Solutions for Nonuniform Transmission Lines
By
Progress In Electromagnetics Research B, Vol. 2, 243-258, 2008
Abstract
In this paper, three analytic closed form solutions are introduced for arbitrary Nonuniform Transmission Lines (NTLs). The differential equations of NTLs are written in three suitable matrix equation forms, first. Then the matrix equations are solved to obtain the chain parameter matrix of NTLs. The obtained solutions are applicable to arbitrary lossy and dispersive NTLs. The validation of the proposed solutions is verified using some comprehensive examples.
Citation
Mohammad Khalaj-Amirhosseini, "Closed Form Solutions for Nonuniform Transmission Lines," Progress In Electromagnetics Research B, Vol. 2, 243-258, 2008.
doi:10.2528/PIERB07111502
References

1. Burkhart, S. C. and R. B. Wilcox, "Arbitrary pulse shape synthesis via nonuniform transmission lines," IEEE Trans. Mic. Theory and Tech., 1514-1518, Oct. 1990.
doi:10.1109/22.58694        Google Scholar

2. Roberts, P. P. and G. E. Town, "Design of microwave filters by inverse scattering," IEEE Trans. Mic. Theory and Tech., 739-743, Apr. 1995.
doi:10.1109/22.375219        Google Scholar

3. Ghose, R. N., "Exponential transmission lines as resonators and transformers," IRE Trans. Mic. Theory and Tech., 213-217, July 1957.
doi:10.1109/TMTT.1957.1125143        Google Scholar

4. Tang, C. C. H., "Delay equalization by tapered cutoff waveguides," IEEE Trans. Mic. Theory and Tech., 608-615, Nov. 1964.
doi:10.1109/TMTT.1964.1125904        Google Scholar

5. Protonotarios, E. N. and O. Wing, "Analysis and intrinsic properties of the general nonuniform transmission line," IEEE Trans. Micro. Theory and Tech., 142-150, Mar. 1967.
doi:10.1109/TMTT.1967.1126403        Google Scholar

6. Paul, C. R., Analysis of Multiconductor Transmission Lines, John Wiley and Sons Inc., 1994.

7. Lu, K., "An efficient method for analysis of arbitrary nonuniform transmission lines," IEEE Trans. Micro. Theory and Tech., 9-14, Jan. 1997.        Google Scholar

8. Khalaj-Amirhosseini, M., "Analysis of coupled or single nonuniform transmission lines using step-by-step numerical integration," Progress In Electromagnetics Research, Vol. 58, 187-198, 2006.
doi:10.2528/PIER05072803        Google Scholar

9. Khalaj-Amirhosseini, M., "Analysis of nonuniform transmission lines using Taylor's series expansion," Int. J. RF and Microwave Computer-Aided Engineering, Vol. 16, No. 5, 536-544, Sep. 2006.
doi:10.1002/mmce.20173        Google Scholar

10. Khalaj-Amirhosseini, M., "Analysis of nonuniform transmission lines using Fourier series expansion," Int. J. of RF and Microwave Computer-Aided Eng., Vol. 17, No. 3, 345-352, May 2007.
doi:10.1002/mmce.20229        Google Scholar

11. Khalaj-Amirhosseini, M., "Analysis of nonuniform transmission lines using the equivalent sources," Progress In Electromagnetics Research, Vol. 71, 95-107, 2007.
doi:10.2528/PIER07020801        Google Scholar

12. Khalaj-Amirhosseini, M., "Analysis of nonuniform transmission lines using the method of moments," Asia-Pacific Microwave Conf. (APMC 2007), Bangkok, Thailand, Dec. 12-14 2007.

13. Cheldavi, A., M. Kamarei, and S. Safavi-Naeini, "First order approximation of the exact solution of arbitrary nonuniform transmission lines: Application in high speed integrated circuits," IEICE Trans. Electron., Vol. E82-C, No. 12, 2248-2254, Dec. 1999.        Google Scholar

14. Oufi, E. A., A. S. AlFuhaid, and M. M. Saied, "Transient analysis of lossless single-phase nonuniform transmission lines," IEEE Trans. Power Delivery, 1694-1700, July 1994.
doi:10.1109/61.311192        Google Scholar