藉由使用色散延遲傳輸線DDL(Dispersive Delay Line)的技術，加入其互補式殘段槽線結構(complementary microstrip-slotline stub structure)，將其應用在威爾金森功率分配器WPD(Wilkinson Power Divider)上，實現達成設計微小化之目的。

In this thesis, the miniaturized Wilkinson Power Divider is presented by using the technology of DDL(Dispersive Delay Line). The DDL consists of a symmetrical open stub and its non-coplanar complementary slot line. The advantage of the method is reducing the substrate area and obtaining the same all-pass result as possible.

[1] M. Y. -W. Chia, T. -H. Lim, J. -K. Yin, P. -Y. Chee, S. -W. Leong and C.-K. Sim, “Electronic beam-steering design for UWB phased array,” IEEE Trans. Microwave Theory Tech., Vol. 54, No. 6, pp. 2431-2438, June 2006.
[2] T. M. Weller, L. P. B. Katehi, M. I. Herman, P. D. Wamhof, K. Lee, E. A.Kolawa and B. H. Tai, “New results using membrane-supported circuits: a Ka-band power amplifier and survivability testing,” IEEE Trans. Microwave Theory Tech., Vol. 44, No. 9, pp. 1603-1606, Sept. 1996
[3] L. Zhiyang and R. M. Weikle, “High-order subharmonically pumped mixers using phased local oscillators,” IEEE Trans. Microwave Theory Tech., Vol. 54, No. 7, pp. 2977-2982, July 2006.
[4] E. J. Wilkinson, “An N-Way Hybrid Power Divider,” IRE Trans. Microwave Theory Tech., Vol. 8, No. 1, pp. 116-118, Jan. 1960.
[5] S. Gupta, A. Parsa, E. Perret, , R. V. Snyder, Robert J. Wenzel, and Christophe Caloz, “Group-delay engineered noncommensurate transmission line all-pass network for analog signal processing,” IEEE Trans. Microw. Theory Tech., vol. 58, no. 9, pp. 2392-2407, Sep. 2010.
[6] M. K. Mandal, D. Deslandes, and K. Wu, ”Complementary microstrip-slot stub configuration for group delay engineering,” IEEE Microw. Wireless Compon. Lett., vol. 22, no. 8, pp. 388-390, Aug. 2012.
[7] J. D. Schwartz, I. Arnedo, M. A. G. Laso, T. Lopetegi, J. Azaña, and D. Plant, “An electronic UWB continuously tunable time-delay system with nanosecond delays,” IEEE Microw. Wireless Compon. Lett., vol. 18, no. 2, pp. 103–105, Feb. 2008.
[8] C.-W. Hsue, J.-Y. Wen, Y.-W. Chang, Y.-T. Yeh,”Dispersive delay line with large group delay using deformed open stub and its complementary slot line,” IEEE Microwave Wireless Compon. Lett. , vol. 26, pp. 122-124, Jan. 2016.
[9] E. Abdo-Sánchez, T. M. Mart́n-Guerrero, C. Camacho-Pẽnalosa, J. E. Page, and J. Esteban, "Bandwidth enhancement of microstrip-fed slot radiatingelement using its complementary stub," in Proceedings of the 5th European Conference on Antennas and Propagation (EUCAP), Apr. 2011, pp. 1125-1128.
[10] K. C. Gupta, R. Garg, I. Bahl, and P. Bhartis, Microstrip Lines and Slotlines, Second Edition, Artech House, Boston, 1996.
[11] E. O. Hammerstard, “Equations for microstrip circuit design,” in Proceedings of the European Microw. Conference, Hamburg, Germany, 1975, pp. 268–272.
[12] E. Hammerstad and O. Jensen, “Accurate Models for Microstrip ComputerAided
Design,” IEEE MTT-S Symposium Digest, pp. 407-409, June 1980.
[13] L. Brillouin, Wave propagation and Group Velocity (Aca-demic, New York, 1960)
[14] L. Brillouin, Wave propagation in Periodic Structures (McGraw-Hill, New York, 1946).
[15] D. M. Pozar, “Microwave Engineering,” 4th Ed., John Wiley & Sons, Inc., 2011
[16] J. Reed and G. J. Wheeler, “A Method of Analysis of Symmetrical Four-Port Networks,” IRE Trans-actions on Microwave Theory and Techniques, vol. MTT-4, pp. 246–252, October 1956.
[17] Henrique Salogado, “Dispersion in Optical Fibers,” December 2007.
[18] F. E. Gardiol, Introduction to Microwaves, Artech House, Dedham, Mass., 1984.
[19] Zhang Q., Gupta S., and Caloz C.: ‘Synthesis of narrow-band reflectiontype phaser with arbitrary prescribed group delay’, IEEE Trans. Microw. Theory Tech., 2012, 60, (8), pp. 734–743
[20] Zhang Q., Sounas D.L., and Caloz C.: ‘Synthesis of cross-coupled reduced-order dispersive delay structures (DDSs) with arbitrary group delay and controlled magnitude’, IEEE Trans. Microw. Theory Tech., 2013, 61, (3), pp. 1043–1052
[21] Gupta S., Parsa A., Perret E., Snyder R.V., Wenzel R.J., and Caloz C.: ‘Group-Delay Engineered Noncommensurate Transmission Line All-Pass Network for Analog Signal Processing’, IEEE Trans. Microw. Theory Tech., 2006, 54, (6), pp. 2497-2502
[22] Paradis T., Gupta S., Zhang Q., Jiang L.J., and Caloz C.: ‘Hybrid-cascade coupled-line phasers for high-resolution radio-analog signal processing’, Microw. Opt. Technol. Lett., 2014, 56, (11), pp. 2502-2504
[23] Abielmona S., Gupta S., and Caloz C.: ‘Experimental demonstration and characterization of a tunable CRLH Delay line system for impulse/continuous wave’, IEEE Microw. Wirel. Compon. Lett., 2006, 54, (6), pp. 2497-2502
[24] Gupta S., Abielmona S., and Caloz C.: ‘Carrier frequency tunable impulse/continuous wave CRLH delay line system’, IEEE AP-S Int. Digest, 2007, pp. 5523-5526
[25] Caloz C. and Itoh T.: ‘Electromagnetic Metamaterials, Transmission Line Theory and Microwave Applications’ (NJ: Wiley-IEEE Press, 2006)
[26] Gupta S., Sounas D.L., Nguyen H.V., Zhang Q., and Caloz C.: ‘CRLH-CRLH C-section dispersive delay structures with enhanced group delay swing for higher analog signal processing resolution’, IEEE Trans. Microw. Theory Tech., 2012, 60, (21), pp. 3939–3949
[27] Caloz C.: ‘Metamaterial dispersion engineering concepts and applications’, Proc. IEEE, 2011, 99, (10), pp. 1711–1719
[28] Nguyen H. and Caloz C.: ‘CRLH delay line pulse position modulation transmitter’, IEEE Microw. Wirel. Compon. Lett., 2008, 18, (8), pp. 527–529
[29] Nikfal B., Gupta S., and Caloz C.: ‘Increased group delay slope loop system for enhanced-resolution analog signal processing’, IEEE Trans. Microw. Theory Tech., 2011, 59, (6), pp. 1622–1628
[30] Toyoda, T. Hirota, T. Hiraoka, and T. Tokumitsu, “Multilayer MMIC branch-line coupler and broad-side coupler,” in Microwave and Millimeter-Wave Monolithic Circuits Symposium Digest, New Mexico, 1-3 June 1992, pp. 79–82.
[31] Y.-C. Chiang and C.-Y. Chen, “Design of a wide-band lumped-element 3-dB quadrature coupler,” IEEE trans. Microwave Theory Tech., vol. 49, no. 3, pp. 476–479, Mar. 2001.
[32] A. Lai, C. Caloz, and T. Itoh, “Composite right/left-handed transmission line metamaterials,” IEEE Microw. Mag., vol. 5, no. 3, pp. 34–50, Sep. 2004.
[33] P.-L. Chi and T. Itoh, “Miniaturized dual-band directional couplers using composite right/left-handed transmission structures and their applications in beam pattern diversity systems,” IEEE Trans. Microw. Theory Tech., vol. 57, no. 5, pp. 1207–1215, May. 2009.
[34] I-H. Lin, C. Caloz, and T. Itoh, “A branch-line coupler with two arbitrary operating frequencies using left-handed transmission lines,” in IEEE-MTT Int. Symp. Dig., Philadelphia, PA, vol. 1, pp.325-327, 2003.
[35] H.okabe, C. Caloz, and T. Itoh, “A compact enhanced-bandwidth hybrid ring using an artificial lumped-elemt left-handed transmission-line section,” IEEE Trans. Microw. Theory Tech., vol. 52, no. 3, pp. 798-804, Mar. 2004.
[36] H. P. Phan, T. P. Vuong, T. T. Nguyen, M. H. Luong, Y. Iitsuka, M. H. Hoang, “Simple Miniaturized Wilkinson Power Divider Using A Compact Stub Structure,” International Conference on Advanced Technologies for Communications (ATC) 2015
[37] 蘇柏丰，以二維合成傳輸線實現微型化微波被動元件，碩士論文，國立台灣科技大學，台北, 2013。