The boundary problem for eigenmodes in coaxial quad-ridged waveguides has been solved by the transverse field-matching technique. The formulas obtained provide possibilities to calculate cutoff wave numbers and electric and magnetic fields distributions of TEM, TE and TM modes in the presence of the ridges either on the inner or on the outer perfectly conducting cylinder. The analysis of the dependences of cutoff wave numbers and electric field distributions convergences on the number of partial modes has been carried out. It has been shown that for calculation of cutoff wave numbers with residual error less than 0.1 % it is enough to utilize 27 partial modes, and for the correct calculation of fields distributions one should utilize more than 30 partial modes.

Author Biography

Fedir F. Dubrovka, National Technical University of Ukraine "KPI"

Dr.Sc, professor


Suntheralingam N., Mohottige N., Budimir D. Electromagnetic modelling of ridged waveguide resonator loaded bandpass filters // 2010 IEEE Antennas and Propagation Society International Symposium (APSURSI 2010), Toronto, Canada, 2010, pp. 1–4.

Li S., Fu J., Wu X. Double ridged waveguide low pass filters for satellite application // 2007 International Symposium on Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications, Hangzhou, China, 2007, pp. 408–410.

Manuilov M. B., Kobrin K. V., Obrezanova L. A. Ridged waveguide filters with improved performance // 16th International Crimean Conference on Microwave and Telecommunication Technology (CriMiCo 2006), Sevastopol, Ukraine, 2006, pp. 507–508.

Dai D., Wang Z., Julian N., Bowers J. E. Compact broadband polarizer based on shallowly-etched silicon-on-insulator ridge optical waveguides // 2011 Optical Fiber Communication and National Fiber Optic Engineers Conference (OFC/NFOEC), Los Angeles, USA, 2011, pp. 1–3.

Tribak A., Mediavilla A., Cano J. L., Boussouis M., Cepero K. Ultra-broadband low axial ratio corrugated quad-ridge polarizer // European Microwave Conference (EuMC 2009), Rome, Italy, 2009, pp. 73–76.

Bull J. D., Kato H., Jaeger N. Asymmetrically strained ridge waveguide for passive polarization conversion // IEEE Photonics Technology Letters. – Dec. 2008. – vol. 20, № 24. – pp. 2186–2188.

Polemi A., Maci S., Kildal P.-S. Dispersion characteristics of a metamaterial-based parallel-plate ridge gap waveguide realized by bed of nails // IEEE Trans. Antennas Propagat. – March 2011. – vol. 59, № 3 – pp. 904–913.

Ruiz-Bernal M. A., Valverde-Navarro M., Goussetis G., Gomez-Tornero J.-L., Feresidis A. P. Higher order modes of the ridged coaxial waveguide // 36th European Microwave Conference, Manchester, UK, 2006, pp. 1221–1224.

Tang Y., Zhao J., Wu W. Analysis of quadruple-ridged square waveguide by multilayer perceptron neural network model // Asia-Pacific Microwave Conference (APMC 2006), Yokohama, Japan, 2006, pp. 1912–1918.

Xu J., Wang W., Gong Y., Wei Y. Analysis of elliptical ridged waveguide // Joint 31st International Conference on Infrared Millimeter Waves and 14th International Conference on Teraherz Electronics (IRMMW-THz 2006), Shanghai, China, 2006, p. 265.

Jacobs O. B., Odendaal J. W., Joubert J. Elliptically shaped quad-ridge horn antennas as feed for a reflector // IEEE Antennas Wireless Propagat. Lett. – 2011. – vol. 10. – pp. 756–759.

Akgiray A., Weinreb S., Imbriale W. Design and measurements of dual-polarized wideband constant-beamwidth quadruple-ridged flared horn // 2011 IEEE International Symposium on Antennas and Propagation (APSURSI 2011), Spokane, USA, 2011, pp. 1135–1138.

Jacobs O. B., Odendaal J. W., Joubert J. Quad ridge horn antenna with elliptically shaped sidewalls // 2011 International Conference on Electromagnetics in Advanced Applications (ICEAA 2011), Torino, Italy, 2011, pp. 259–262.

Coutts G. M. Wideband diagonal quadruple-ridge orthomode transducer for circular polarization detection // IEEE Trans. Antennas Propagat.– June 2011.– vol. 59, № 6 – pp. 1902–1909.

Hwang J.-H., Oh Y. Compact orthomode transducer using single-ridged triangular waveguides // IEEE Microwave Wireless Comp. Lett. – 2011. – vol. 21, № 8 – pp. 412– 414.

Zhang H. Z. A wideband orthogonal-mode junction using ridged sectoral waveguides // 2002 IEEE Int. Antennas Propagat. Symp. Dig. – June 2002. – vol. 40. – pp. 432–435.

Yeo C. I., Jang S. J., Yu J. S., Lee Y. T. 1.3-µm laterally tapered ridge waveguide DFB lasers with second-order Cr surface gratings // IEEE Photonics Technology Letters. – Nov. 2010. – vol. 22, № 22. – pp. 1668–1670.

Price R. K., Verma V. B., Elarde V. C., Coleman J. J. Internal loss, modal characteristics, and bend loss of asymmetric cladding ridge waveguide lasers at 850 nm // Journal of Applied Physics. – Jan. 2008. – vol. 103, № 1. – pp. 013108–013108-6.

Teng J. H., Lim E. L., Chua S. J., Ang S. S., Chong L. F., Dong J. R., Yin R. Self-aligned metal-contact and pas-sivation technique for submicron ridge waveguide laser fabrication // Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures. – Sep. 2008. – vol. 26, № 5. – pp. 1748–1752.

Amadjikpe A. L., Papapolymerou J. A high-Q electronically tunable evanescent-mode double-ridged rectangular waveguide resonator // 2008 IEEE Int. Microwave Symp. Dig. – June 2008. – pp. 1019–1022.

Serebryannikov A. E., Vasylchenko O. E., Schune-mann K. Fast coupled-integral-equations-based analysis of azimuthally corrugated cavities // IEEE Microwave Wireless Comp. Lett. – May 2004. – vol. 14, № 5. – pp. 240–242.

Waveguides of complex cross sections / Zargano G. Ph., Lyapin V. P., Mihalevskiy V. S. et al. – Moscow: Radio and Communications, 1986. – 124 p. (in Russian).

Jarvis D. A., Rao T. C. Design of double-ridged rectangular waveguide of arbitrary aspect ratio and ridge height // IEE Proc. Microw. Antennas Propagat. – Feb. 2000. – vol. 147, № 1. – pp. 31–34.

Rong Y., Zaki K. A. Characteristics of generalized rectangular and circular ridge waveguides // IEEE Trans. Microwave Theory Tech. – Feb. 2000. – vol. 48, № 2.– pp. 258–265.

Dubrovka F. F., Piltyay S. I. Electrodynamics boundary problem solution for sectoral coaxial ridged waveguides by integral equation technique // Radioelectronics and Communications Systems. – May 2012. – vol. 55, № 5. – pp. 191–203.

Dubrovka F. F., Piltyay S. I. Eigenmodes of sectoral coaxial ridged waveguides // Radioelectronics and Communications Systems. – June 2012. – vol. 55, № 6. – pp. 239–247. Mittra R., Lee S. W. Analytical Techniques in the Theory of Guided Waves. New York: Macmillan, 191.302 p.