Aperture Field Estimation in Waveguide for Non-Sinusoidal Periodic Excitation

DOI: 10.4236/jemaa.2012.43017   PDF   HTML   XML   4,029 Downloads   6,243 Views   Citations


In this paper an attempt has been made to find the aperture field distribution in a rectangular waveguide for non-sinusoidal, periodic excitations using Multiple Cavity Modeling Technique. The excitation functions, considered, are square, trapezoidal and clipped sine wave in nature. In the present analysis these time domain excitation functions have been represented in terms of a truncated Fourier series consisting of the fundamental frequency and its higher harmonics. Within the waveguide the fundamental frequency will give rise to a dominant mode excitation whereas the higher order modes will excite dominant as higher order modes. If the higher harmonics are assumed suppressed then the waveguide is subjected only to a dominant mode excitation. Results for dominant mode reflection coefficient (magnitude), VSWR and complex transmission coefficient have been computed and compared with theoretical data. The excellent agreement between them validates the analysis.

Share and Cite:

S. Das and K. Marandi, "Aperture Field Estimation in Waveguide for Non-Sinusoidal Periodic Excitation," Journal of Electromagnetic Analysis and Applications, Vol. 4 No. 3, 2012, pp. 129-134. doi: 10.4236/jemaa.2012.43017.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] L. Lewin, “Advanced Theory of Waveguide,” Iliffe, 1951.
[2] R. F. Harrington, “Time-Harmonic Electromagnetic Fields,” IEEE Press Classic Reissue, John Wiley & Sons, INC, New York, 2001.
[3] A. E. Karbowiak, “Propagation of Transients in Wave- guides,” Proceedings of IEE—Part C: Monographs, Vol. 104, No. 6, 1957, pp. 339-348.
[4] R. S. Elliot, “Pulse Waveform Degradation Due to Dispersion in Waveguide,” IRE Transactions on Microwave Theory and Technique, Vol. 5, No. 4, 1957, pp. 254-257. doi:10.1109/TMTT.1957.1125161
[5] W. A. Saxton and H. J. Schmitt, “Transients in Large Waveguide,” Proceedings of the IEEE, Vol. 51, No. 2, 1963, pp. 405-406. doi:10.1109/PROC.1963.1829
[6] H. Berger and J. W. E. Griemsmann, “Transient Electro- magnetic Guided Wave Propagation in Moving Media,” IEEE Transactions on Microwave Theory and Techniques, Vol. 16, No. 10, 1968, pp. 842-849. doi:10.1109/TMTT.1968.1126801
[7] E. O. Schulz-Dubois, “Sommerfeld Pre- and Postcursors in the Context of Waveguide Transients,” IEEE Transac- tions on Microwave Theory and Techniques, Vol. 18, No. 8, 1970, pp. 455-460. doi:10.1109/TMTT.1970.1127268
[8] M. Ito, “Dispersion of Very Short Microwave Pulses in Waveguide,” IEEE Transactions on Microwave Theory and Techniques, Vol. 13, No. 3, 1965, pp. 357-364. doi:10.1109/TMTT.1965.1126000
[9] O. A. Tretyakov, “Evolutionary Equations for the Theory of Waveguides,” IEEE Antennas and propagation Society International Symposium, Vol. 3, 1994, pp. 1973-1976.
[10] S. L. Dvorak, “Exact Closed-Form Expression for Tran- sient Fields in Homogeneously Filled Waveguides,” IEEE Transactions on Microwave Theory and Techniques, Vol. 42, No. 11, 1994, pp. 2164-2170. doi:10.1109/22.330133
[11] P. Stenius and B. York, “On the Propagation of Tran- sients in Waveguides,” IEEE Antennas and Propagation Magazine, Vol. 37, No. 2, 1995, pp. 39-44. doi:10.1109/74.382337
[12] G. Y. Wen, “A Time Domain Theory of Waveguide,” Progress in Electromagnetic Research, PIER 59, 2006, pp. 267-297. doi:10.2528/PIER05102102
[13] A. Vengadarajan, “Multiple Cavity Modeling Technique for Solving Aperture Coupled Waveguide Junctions,” Ph.D. Dissertation, Indian Institute of Technology, Kharag- pur, 1999.
[14] S. Das, “Analysis of Rectangular Waveguide Based Pas- sive Devices and Antennas Using Multiple Cavity Mod- eling Technique,” Ph.D. Dissertation, Indian Institute of Technology, Kharagpur, 2007.
[15] S. Das, “A Novel Modeling Technique to Solve a Class of Rectangular Waveguide Based Circuits and Radiators,” Progress in Electromagnetic Research, PIER 61, 2006, pp. 231-252. doi:10.2528/PIER06010302
[16] D. M. Pozar, “Microwave Engineering,” 2nd Edition, John Wiley & Sons (Asia) Pte. Ltd., Singapore, 2004.

comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.