On the Miniaturization of Microstrip Ring-Hybrid Couplers Using Gielis Supershapes

References

• K. Chang, and L. H. Hsieh. Microstrip Ring Circuits and Related Structures. New York: Wiley, 2004.
   Google Scholar
• C. H. Tseng, and C. L. Chang, “A rigorous design methodology for compact planar branch-line and rat-race couplers with asymmetrical T-structures,” IEEE. Trans. Microw. Theory. Tech., Vol. 60, pp. 2085–92, 2012.
   Web of Science ®Google Scholar
• W. Nie, S. Luo, Y.-X. Guo, and Y. Fan, “Miniaturized rat-race coupler with harmonic suppression,” IEEE Microw. Wireless Compon. Lett., Vol. 24, no. 11, pp. 754–6, Nov. 2014.
   Web of Science ®Google Scholar
• M. K. Mandal, and S. Sanyal, “Reduced-length rat-race couplers,” IEEE Trans. Microwave Theory Tech., Vol. 55, pp. 2593–8, Dec. 2007.
   Web of Science ®Google Scholar
• T.-T. Mo, Q. Xue, and C.-H. Chan, “A broadband compact microstrip rat-race hybrid using a novel CPW inverter,” IEEE Trans. Microw. Theory Tech., Vol. 55, no. 1, pp. 161–7, Jan. 2007.
   Web of Science ®Google Scholar
• Y. J. Sung, C. S. Ahn, and Y. S. Kim, “Size reduction and harmonic suppression of rat-race hybrid coupler using defected ground structure,” IEEE Microwave Wireless Comp. Letters, Vol. 14, no. 1, pp. 7–9, 2004.
   Web of Science ®Google Scholar
• M.-L. Chuang, “Miniaturized ring coupler of arbitrary reduced size,” IEEE Microwave Wireless Comp. Lett., Vol. 15, pp. 16–8, Jan. 2005.
   Web of Science ®Google Scholar
• H. Ghali, and T. A. Moselhy, “Miniaturized fractal rat-race, branch-line and coupled-line hybrids,” IEEE Trans. Microwave Theory Tech., Vol. 21, pp. 2513–20, 2004.
   Google Scholar
• M. H. Awida, A. M. E. Safwat, and H. El-Hennawy, “Compact rat-race hybrid coupler using meander space-filling curves,” Microw. Opt. Technol. Lett., Vol. 48, no. 3, pp. 606–9, Mar. 2006.
   Web of Science ®Google Scholar
• Y. Wang, X.-Y. Zhang, F. X. Liu, C.-H. Quan, and J.-C. Lee, “A miniaturized rat-race coupler with ultra-wideband harmonic suppression,” Microw Opt Technol Lett., Vol. 60, pp. 1960–3, 2018.
   Web of Science ®Google Scholar
• K.-M. Shum, Q. Xue, and C.-H. Chan, “A novel microstrip ring hybrid incorporating a PBG cell,” IEEE Microw. Wireless Compon. Lett., Vol. 11, no. 6, pp. 258–60, Jun. 2001.
   Web of Science ®Google Scholar
• K. W. Eccleston, and S. H. M. Ong, “Compact planar microstripline branch-line and rat-race coupler,” IEEE Trans. Microw. Theory Tech., Vol. 51, no. 10, pp. 2119–25, Oct. 2003.
   Web of Science ®Google Scholar
• H. Okabe, C. Caloz, and T. Itoh, “A compact enhanced-bandwidth hybrid ring using an artificial lumped-element left-handed transmission-line section,” IEEE Trans. Microw. Theory Techn., Vol. 52, no. 3, pp. 798–804, Mar. 2004.
   Web of Science ®Google Scholar
• C. H. Tseng, and H. J. Chen, “Compact rat-race coupler using shunt-stub-based artificial transmission lines,” IEEE Microw. Wireless Compon. Lett., Vol. 18, no. 11, pp. 734–6, Sep. 2008.
   Web of Science ®Google Scholar
• V. Paraforou, D. Caratelli, and A. Yarovoy. “Design and full-wave analysis of supershaped patch antennas”, M.Sc. Delft University of Technology, November 2013.
   Google Scholar
• S. Keyrouz1, and D. Caratelli, “Dielectric resonator antennas: basic concepts, design guidelines, and recent developments at millimeter-wave frequencies,” Int. J. Antennas. Propag., Vol. 1, pp. 1–20, 2016.
   Google Scholar
• S. Khajevandi, H. Oraizi, and M. Poordaraee, “Design of planar dual-band-stop FSS using square loop enclosing superformula curves,” IEEE Antennas Wirel. Propag. Lett., Vol. 17, no. 5, pp. 731–4, 2018.
   Web of Science ®Google Scholar
• C. M. Jong, J. Gielis, and D. Caratelli, “Application of Gielis transformation to the design of metamaterial structures,” J. Phys. Conf. Ser., Vol. 963, no. 1, pp. 1–5, 2008.
   Google Scholar
• E. Martínez, C. Coevorden, O. Stukach, N. Panokin, J. Gielis, and D. Caratelli, “Electromagnetic modeling and design of a novel class of complementary split-ring resonators,” Int. J. RF Microw. Comput. Aided Eng., Vol. 29, no. 4, pp. 1–7, 2018.
   Web of Science ®Google Scholar
• A. Tayebi, D. Zarifi, and M. Nasri, “Design of X-band Moreno cross-guide coupler based on superformula curves,” Int. J. RF Microw. Comput. Aided Eng., Vol. 30, no. 3, pp. 1–6, 2019.
   Web of Science ®Google Scholar
• J. Gielis, “A generic geometric transformation that unifies a wide range of natural and abstract shapes,” Am. J. Bot., Vol. 90, no. 3, pp. 333–8, 2003.
   PubMed Web of Science ®Google Scholar
• M. Matsuura, “Gielis’ superformula and regular polygons,” J. Geom., Vol. 106, no. 2, pp. 383–403, July 2015.
   Web of Science ®Google Scholar
• S. A. Afsari, “Rotor pole design of radial flux magnetic gear for reduction of flux density harmonics and cogging torque,” IEEE Trans. Appl. Supercond., Vol. 29, no. 8, pp. 1–8, 2019.
   Web of Science ®Google Scholar
• D. M. Pozar. Microwave engineering. 4rd ed. New York: Wiley, 2012.
   Google Scholar