Fast computation of modified Mathieu functions applied to elliptical waveguide problems

IEEE Transactions on Microwave Theory and Techniques

Volumn 47, Issue 4, 1999, Pages 513-516

  Schneider, Martin ^a   Marquardt, Jürgen ^a  

^a Bosch Telecom GmbH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; MICROSTRIP ANTENNAS; WAVEGUIDES;

ELLIPTICAL WAVEGUIDES; MATHIEU FUNCTIONS;

MICROWAVE ANTENNAS;

EID: 0032663258     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/22.754887     Document Type: Article

References (16)

1. R. B. Dyott, Elliptical Fiber Waveguides. Norwood, MA: Artech House, 1995.
2. J. G. Kretzschmar, Wave propagation in hollow conducting elliptical waveguides, IEEE Trans. Microwave Theory Tech., vol. MTT-18, pp. 547-554, Sept. 1970.
3. P. J. B. Clarricoats and A. D. Olver, Corrugated Horns for Microwave Antennas. Stevenage, U.K.: Peregrinus, 1984.
4. P. Matras, R. Bunger, and F. Arndt, Analysis of the step discontinuity in elliptical waveguides, IEEE Microwave Guided Wave Lett., vol. 6, pp. 143-145, Mar. 1996.
5. M. Schneider, Dispersions- und Dämpfungseigenschaften der Eigen-moden periodisch gewellter Hohlleiter, Ph.D. dissertation, Fachbereich Elektrotechnik, Universität Hannover, Hannover, Germany, 1997.
6. S. R. Rengarajan and J. E. Lewis, Dielectric loaded elliptical waveguides, IEEE Trans. Microwave Theory Tech., vol. MTT-28, pp. 1085-1089, Oct. 1980.
7. G. L. James, Propagation and radiation from partly filled elliptical waveguide, Proc. Inst. Elect. Eng. vol. 136, pt. H, pp. 195-201, June 1989.
8. B. Radak and R. L. Gluckstern, Penetration of electromagnetic fields through an elliptical hole in a wall of finite thickness, IEEE Trans. Microwave Theory Tech., vol. 43, pp. 194-204, Jan. 1995.
9. J.-P. Damiano, J.-M. Riberto, and R. Staraj, Original simple and accurate model for elliptical microstrip antennas, Electron. Lett., vol. 31, no. 13, pp. 1023-1024, 1995.
10. F. A. Alhargan and S. R. Judah, A general mode theory for the elliptic disk microstrip antenna, IEEE Trans. Antennas Propagat., vol. 43, pp. 560-568, June 1995.
11. N. W. McLachlan, Theory and Application of Mathieu Functions. New York: Dover, 1964.
12. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions. New York: Dover, 1970.
13. N. Toyama and K. Shogen, Computation of the value of the even and odd Mathieu functions of order N for a given parameter 5 and an argument X IEEE Trans. Antennas Propagat., vol. AP-32, pp. 537-539, May 1984.
14. S. Zhang and Y. Shen, Eigenmode sequence for an elliptical waveguide with arbitrary ellipticity, IEEE Trans. Microwave Theory Tech., vol. 43, pp. 227-230, Jan. 1995.
15. B. Rembold, Elliptische Hohleiter, Tafeln für die Grenzwellenlängen und Dämpfungskonstanten, Arch. Elekt. Übertrag. Tech., vol. 11, no. 11, Nov. 1975.
16. J. Nachamkin and D. C. Huffman, Rapid evaluation of integer-order Bessel functions using an EFT algorithm, IEEE Antennas Propagat. Mag., vol. 33, pp. 33-35, June 1991