Abstract
Wide-band directional couplers using П-Shape dielectric waveguide in the parallel coupling region are investigated in detail by a rigorous mode matching method, both the eigenvalue problem of the coupled П-guide and the coupling characteristics of curved transition structure are solved accurately. Particular attention is directed toward the effects of transition waveguides on the scattering and coupling performance of the coupler to give useful guidelines for the design and optimization consideration. Finally, a 3-dB directional coupler is proposed with quite constant coupling factor (within ±0.5dB) throughout a wide frequency band from 34 GHz to 40 GHz.
Similar content being viewed by others
References
M. Tomita, and Y. Karasawa, Analysis of scattering and coupling problem of directional coupler for rectangular dielectric waveguides. J. Electromagn. Waves Appl. 14(no. 9), 1261–1262 (2000).
D. Li, Y. Cassivi, P. Yang, and K. Wu, Analysis and design of bridged NRD-guide coupler for millimeter-wave applications. IEEE Trans. Microwave Theor. Tech. 53(no. 8), 2546–2550 (2005).
O. Hideyuki, A. Hideki, I. Osami, and K. Hidetoshi, A broadband directional coupler using a dielectric loaded slit. Electron. Commun. Jpn., Part 2, Electron. 82(no. 7), 80–89 (1999).
J. Liu, J. Q. Sun, C. Q. Huang and W. J. Hu, Energy transmission and distribution of guided modes in parallel-plate waveguide coupler. Proceedings of SPIE - The International Society for Optical Engineering, 6781, (2007).
T. Fickenscher, Experimental investigation of photonic millimeter-wave, beam-splitter-type coupler in image guide technology. Microw. Opt. Technol. Lett. 49(no. 10), 2526–2530 (2007).
L. F. Qi, L. Q. Xu and Y. Lo, Image guide couplers used in millimeter wave integrated circuits, Conference Digest - International Conference on Infrared and Millimeter Waves, 1987, pp. 354–355.
I. J. Bahl, and P. Bhartia, Aperture coupling between dielectric image lines. IEEE Trans. Microwave Theor. Tech. 29(no. 9), 891–896 (1981).
T. Trinh, and R. Mittra, Coupling characteristics of planar dielectric waveguides of rectangular cross section. IEEE Trans. Microwave Theor. Tech. 29(no. 9), 875–880 (1981).
D. I. Kim, D. Kawabe, K. Araki, and Y. Naito, Directly connected image guide 3-dB couplers with very flat couplings. IEEE Trans. Microwave Theor. Tech. 32(no. 6), 621–627 (1984).
J. F. Miao and T. Itoh, Hollow image guide for millimeter-wave integrated circuits. 12th European Microwave Conference, Oct. 1982, pp. 520–525.
R. M. Knox and P. P. Toulios, Integrated circuits for the millimeter through optical frequency range. Proc. Symp. Submillimeter Waves (New York), Mar. 31–Apr. 2, 1970.
J. Rodriguez, and A. Prieto, Wide-band directional couplers in dielectric waveguide. IEEE Trans. Microwave Theor. Tech. 35(no. 8), 681–687 (1987).
A. S. Sudbo, Film mode matching: a versatile numerical method for vector mode field calculations in dielectric waveguides. Pure Appl. Opt. 2, 211–233 (1993).
U. Rogge, and R. Pregla, Method of lines for the analysis of dielectric waveguides. J. Lightwave Technol. 11, 2015–2020 (1993).
H. W. Chang, T. L. Wu, and M. H. Sheng, Vectorial modal analysis of dielectric waveguides based on coupled transverse-mode integral equation: I – mathematical formulations. J. Opt. Soc. Am. A, 23, 1468–1477 (2006).
H. W. Chang, T. L. Wu, and M. H. Sheng, Vectorial modal analysis of dielectric waveguides based on coupled transverse-mode integral equation: II – numerical analysis. J. Opt. Soc. Am. A 23, 1478–1487 (2006).
S. T. Peng, and A. A. Oliner, Guidance and leakage properties of a class of the open dielectric waveguides. Part I: Mathematical formulation. IEEE Trans. Microwave Theor. Tech. 29, 843–855 (1981).
S. J. Xu, S. T. Peng, and F. K. Schwering, Effect of transition waveguides on dielectric waveguide directional couplers. IEEE Trans. Microwave Theor. Tech. 37(no. 4), 686–690 (1989).
Acknowledgment
The work described in this paper is supported by the National Natural Science Foundation of China (No. 60531020).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Huang, M., Xu, S. Rigorous Analysis of Wide-Band Directional Coupler Using Π-Shape Dielectric Waveguide. J Infrared Milli Terahz Waves 30, 439–452 (2009). https://doi.org/10.1007/s10762-009-9472-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10762-009-9472-z