Mode-transformationand mode-continuation regimes on waveguiding structures

IEEE Transactions on Microwave Theory and Techniques

Volumn 48, Issue 1, 2000, Pages 67-75

  Yakovlev, Alexander B ^a   Hanson, George W ^b  

^a North Carolina State University   (United States)

^b University of Wisconsin Milwaukee   (United States)

Author keywords

Branch points; Critical points; Mode coupling; Transmission lines; Waveguides

Indexed keywords

BRANCH POINTS; CRITICAL POINTS; MODE COUPLING; WAVEGUIDING STRUCTURES;

ELECTROMAGNETIC FIELD THEORY; ELECTROMAGNETIC WAVE PROPAGATION; FREQUENCIES; HARMONIC ANALYSIS; MATHEMATICAL MODELS; NUMERICAL METHODS; TELECOMMUNICATION LINES;

WAVEGUIDES;

EID: 0033908683     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/22.817473     Document Type: Article

References (31)

1. J. R. Pierce, "Coupling of modes of propagation," J. Appl. Phys., vol. 25, pp. 179-183, 1954.
2. D. Marcuse, "The coupling of degenerate modes in two parallel dielectric waveguides," Bell Syst. Tech. J., vol. 50, pp. 1791-1816, 1971.
3. A. W. Snyder, "Coupled mode theory for optical fibers," J. Opt. Soc. Amer., vol. 62, pp. 1267-1277, 1972.
4. A. Yariv, "Coupled mode theory for guided-wave optics," IEEE J. Quantum Electron., vol. QE-9, pp. 919-933, Sept. 1973.
5. H. A. Haus and W. Huang, "Coupled-mode theory," Proc. IEEE, vol. 79, pp. 1505-1518, Oct. 1991.
6. H. F. Taylor, "Optical switching and modulation in parallel dielectric waveguides," J. Appl. Phys., vol. 44, pp. 3257-3262, 1973.
7. H. C. Huang, "Coupled modes and nonidealwaveguides," Polytech. Inst. of Brooklyn, Microwave Res. Inst., New York, Collected papers, Nov. 1981.
8. M. A. McHenry and D. C. Chang, "Coupled-mode theory of two nonparallel dielectric waveguide system," IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 1469-1475, Nov. 1984.
9. D. Marcuse, "Directional couplers made of nonidentical asymmetric slabs-Part II: Grating-assisted couplers," J. Lightwave Technol., vol. LT-5, pp. 268-273, Feb. 1987.
10. S.-L. Chuang, "A coupled mode formulation by reciprocity and a variational principle," J. Lightwave Technol., vol. LT-5, pp. 5-15, Jan. 1987.
11. K. Yasumoto, "Coupled-mode formulation of multilayered and multiconductor transmission lines," IEEE Trans. Microwave Theory Tech., vol. 44, pp. 585-590, Apr. 1996.
12. Y. Yuan and D. P. Nyquist, "Full-wave perturbation theory based upon electric field integral equations for coupled microstrip transmission lines," IEEE Trans. Microwave Theory Tech., vol. 38, pp. 1576-1584, Nov. 1990.
13. G. W. Hanson and D. P. Nyquist, "Full-wave perturbation theory for the analysis of coupled microstrip resonant structures," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 1774-1779, Sept. 1992.
14. P. N. Melezhik, A. Ye. Poyedinchuk, Yu. A. Tuchkin, and V. P. Shestopalov, "Properties of spectral characteristics of the open two-mirror resonator," Dokl. Akad. URSR, no. 8, pp. 51-54, 1987.
15. -, "Analytical nature of the vibrational mode-coupling phenomenon," Dokl. Akad. Nauk SSSR, vol. 300, no. 6, pp. 1356-1359, 1988.
16. I. E. Pochanina and N. P. Yashina, "Electromagnetic properties of open waveguide resonators," Electromag., vol. 13, pp. 289-300, 1993.
17. V. P. Shestopalov, "Morse critical points of dispersion equations of open resonators," Electromag., vol. 13, pp. 239-253, 1993.
18. -, Physical Foundations of the Millimeter and Submillimeter Waves Technique, Vol. I. Utrecht, The Netherlands: VSP, 1997.
19. A. B. Yakovlev and G. W. Hanson, "Analysis of mode coupling on guided-wave structures using Morse critical points," IEEE Trans. Microwave Theory Tech., vol. 46, pp. 966-974, July 1998.
20. G. W. Hanson and A. B. Yakovlev, "Investigation of mode interaction on planar dielectric waveguides with loss and gain," Radio Sci., vol. 34, no. 6, pp. 1349-1359, Nov.-Dec. 1999.
21. -, "An analysis of leaky-wave dispersion phenomena in the vicinity of cutoff using complex frequency plane singularities," Radio Sci., vol. 33, no. 4, pp. 803-819, July/Aug. 1998.
22. A. B. Yakovlev and G. W. Hanson, "On the nature of critical points in leakage regimes of a conductor-backed coplanar strip line," IEEE Trans. Microwave Theory Tech., vol. 45, pp. 87-94, Jan. 1997.
23. G.W. Hanson and A. B. Yakovlev, "New explanation of the leaky mode phenomena in a coplanar strip line," in Int. Symp. Antennas Propagat., Chiba, Japan, Sept. 1996, pp. 277-280.
24. G.W. Hanson, "An analysis of mode coupling onwaveguiding structures from the theory of universal unfoldings," in USNC/URSI Nat. Radio Sci. Meeting, Atlanta, GA, June 1998, p. 161.
25. T. Poston and I. Stewart, Catastrophe Theory and Its Applications. London, U.K.: Pitman, 1978.
26. R. Gilmore, Catastrophe Theory for Scientists and Engineers, New York: Wiley, 1981.
27. J. S. Bagby, C.-H. Lee, D. P. Nyquist, and Y. Yuan, "Identification of propagation regimes on integrated microstrip transmission lines," IEEE Trans. Microwave Theory Tech., vol. 41, pp. 1887-1893, Nov. 1993.
28. H. Shigesawa,M. Tsuji, and A. A. Oliner, "Simultaneous propagation of bound and leaky dominant modes on printed-circuit lines: A newgeneral effect," IEEE Trans. Microwave Theory Tech., vol. 43, pp. 3007-3019, Dec. 1995.
29. G. W. Hanson and B. Ray, "Propagation characteristics of guided surface-wave modes on grounded slabs with anisotropic chirality," in Chiral'95, University Park, PA, Oct., pp. 127-130.
30. I. V. Lindell, A. H. Sihvola, S. A. Tretyakov, and A. J. Vitanen, Electromagnetic Waves in Chiral and Bi-Isotropic Media. Norwood, MA: Artech House, 1994, pp. 135-136.
31. A. Knoesen, T. K. Gaylord, and M. G. Moharam, "Hybrid guided modes in uniaxial dielectric planar waveguides," J. Lightwave Technol., vol. 6, pp. 1083-1103, June 1988.