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IEEE Transactions on Microwave Theory and Techniques
Volume 48 Number 7, July 2000

Table of Contents for this issue

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Analysis of a Nonconfocal Suspended Strip in an Elliptical Cylindrical Waveguide

Hassan A. Ragheb

Page 1148.

Abstract:

The separation of variables method along with an addition theorem of Mathieu functions are employed in this paper to analyze the problem of a nonconfocal suspended strip in an elliptical waveguide. An infinite-dimensional determinant is obtained, which represents the characteristic equation of the proposed structure. To obtain the cutoff wavenumbers for both TE and TM cases of such a structure, the infinite determinant is truncated. Convergence when truncating was observed. Numerical results for the special case of a confocal structure is discussed first for comparison with published data. Results of other interesting cases are also presented.

References

  1. L. J. Chu, "Electromagnetic waves in elliptical pipes of metal", J. Appl. Phys., vol. 9, pp.  583-591, Sept.  1938.
  2. J. G. Kretzschamar, "Wave propagation in Hollow conducting elliptical waveguides", IEEE Trans. Microwave Theory Tech., vol. MTT-18, pp.  547-554, Sept.  1970.
  3. R. M. Bulley, "Analysis of the arbitrarily shaped waveguide by polynomial approximation", IEEE Trans. Microwave Theory Tech., vol. MTT-18, pp.  1022-1028, Dec.  1970.
  4. B. K. Wang, K. Y. Lam, M. S. Leong and P. S. Kool, "Elliptical waveguide analysis using improved polynomial approximation", Proc. Inst. Elect. Eng., vol. 141, pp.  483-488, 1994.
  5. D. A. Goldberg, L. J. Jackson and R. A. Rimmer, "Modes of elliptical waveguides: A correction", IEEE Trans. Microwave Theory Tech., vol. 38, pp.  1603-1608, Nov.  1990.
  6. S. Zhang and Y. Shen, "Eigen-mode Sequence for an elliptical waveguide with arbitrary ellipticity", IEEE Trans. Microwave Theory Tech., vol. 43, pp.  227-230, Jan.  1995.
  7. A. El-Sherbiny, "Cutoff wavelengths of ridged, circular and elliptic guides", IEEE Trans. Microwave Theory Tech., vol. MTT-21, pp.  7-12, Jan.  1973.
  8. T. Rozzi, L. Luca and M. Ronzitti, "Analyzes of the suspended strip in elliptical cross section by separation of variables", IEEE Trans. Microwave Theory Tech., vol. 45, pp.  1778-1784, Oct.  1997.
  9. J. A. Stratton, Electromagnetic Theory, New York: McGraw-Hill, 1941.
  10. K. Saermark, "A note on addition theorems for Mathieu functions", Z. Angew. Math. Phys., vol. 10, pp.  426-428, 1958.