A new approach to analytical calculation of microstrip directional couplers with full structure symmetry
A new approach to analytical calculation of directional couplers that have two symmetry planes, which is based on using input impedances of co-phase (symmetrical) and opposite-phase (asymmetrical) partial two-poles is suggested. Examples of using such approach for calculations of directional couplers on the basis of a coupled lines segment with three directivity types are discussed.
А. L. Feldstein and L. R. Yavich, Synthesis of Microwave Four-Poles and Eight-Poles (Svyaz’, Moscow, 1971) [in Russian].
D. L. Matey, L. Young, and Е. М. Т. Johns, Microwave Filters, Matching Networks and Communications Networks, Vol. 2 (Svyaz’, Moscow, 1972) [in Russian].
V. А. Sosunov and А. А. Shibayev, Directional Couplers for UHF (Privolzh. Knizhn. Izdat., Saratov, 1964) [in Russian].
R.W. Vogel, “Analysis and design of lumped- and lumped-distributed-element directional couplers for MIC and MMIC applications,” IEEE Trans. Microwave Theory Tech. 40, No. 2, 253 (1992).
C. Toker, M. Saglam, M. Ozme, N. Gunalp, “Branch-line couplers using unequal line lengths,” IEEE Trans. Microwave Theory Tech. 49, No. 4, 718 (2001).
Y.-H. Chun and J.-S. Hong, “Compact wide-band branch-line hybrids,” IEEE Trans. Microwave Theory Tech. 54, No. 2, 704 (2006).
P. Paco, J. Verdu, O. Menendez, E. Corrales, “Branch-line coupler based on edge-coupled parallel lines with improved balanced response,” IEEE Trans. Microwave Theory Tech. 56, No. 12, 2936 (2008).
C. Y. Ng, M. Chongcheawchamnan, and I. D. Robertson, “Lumped-distributed hybrids in 3D-MMIC technology,” IEE Proc. H: Microwaves, Antennas Propag. 151, No. 4, 370 (2004).
S.-S. Liao and J.-T. Peng, “Compact planar microstrip branch-line couplers using the quasi-lumped elements approach with nonsymmetrical and symmetrical T-shaped structure,” IEEE Trans. Microwave Theory Tech. 54, No. 9, 3508 (2006).
C.-W. Tang and M.-G. Chen, “Synthesizing microstrip branch-line couplers with predetermined compact size and band-width,” IEEE Trans. Microwave Theory Tech. 55, No. 9, 1926 (2007).
S.-C. Jung, R. Negva, and F. M. Ghannouchi, “A design methodology for miniaturized 3-dB branch-line hybrid couplers using distributed capacitors printed in the inner area,” IEEE Trans. Microwave Theory Tech. 56, No. 12, 2950 (2008).
О. I. Mazepova, V. P. Meschanov, N. I. Prohorova, et al., Handbook on Microstrip Elements (Svyaz’, Moscow, 1979) [in Russian, ed. by А. L. Feldstein].
Yu. G. Yefremov, V. V. Konin, B. D. Solganik, et al., Design of Integral Microwave Devices: Reference Book (Tekhnika, Kyiv, 1990) [in Russian].
C. Buntschuh, “High directivity microstrip couplers using dielectric overlays,” in IEEE MTT-S Int. Microwave Symp. Dig. (June 1975), pp. 125–128.
S. L. March, “Phase velocity compensation in parallel-coupled microstrip,” in IEEE MTT-S Int. Microwave Symp. Dig. (June, 1982), pp. 410–412.
S. Uysal and H. Aghvami, “Synthesis, design and construction of ultra-wide-band nonuniform quadrature directional couplers in inhomogeneous media,” IEEE Trans. Microwave Theory Tech. 37, No. 6, 969 (1989).
V. А. Sledkov, SU Patent No. 884008, , Byull. Izobret., No. 43 (1981).
D. P. Andrews and C. S. Aitchison, “Wide-band lumped-element quadrature 3-dB couplers in microstrip,” IEEE Trans. Microwave Theory Tech. 48, No. 12, 2424 (2000).
G. Schaller, “Optimization of microstrip directional coupler with lumped capacitors,” Arch. Elek. Uebertag. Tech. 31, 371 (July-Aug. 1977).
M. Dydyk, “Microstrip directional couplers with ideal performance via single-element compensation,” IEEE Trans. Microwave Theory Tech. 47, No. 6, 956 (1999).
H. Ashoka, US Patent 6549089 (16 June 2003).
S. Lee and Y. Lee, “A design method for microstrip directional couplers loaded with shunt inductors for directivity enhancement,” IEEE Trans. Microwave Theory Tech. 58, No. 4, 994 (2010).
R. Phromloungsri, M. Chongcheawchamnan, and I. D. Robertson, “Inductively compensated parallel coupled microstrip lines and their applications,” IEEE Trans. Microwave Theory Tech. 54, No. 9, 3571 (2006).
W.-S. Tung, H.-H. Wu, and Y.-C. Chiang, “Design of microwave wide-band quadrature hybrid using planar transformer coupling method,” IEEE Trans. Microwave Theory Tech. 51, No. 7, 1852 (2003).
Y. S. Jeong and T. W. Kim, “Design and analysis of swapped port coupler and its application in a miniaturized Butler matrix,” IEEE Trans. Microwave Theory Tech. 58, No. 4, 764 (2010).
V. І. Oborzhytskyy, “Calculation of electrical parameters for directional couplers on transmission lines with compensating reactivites,” Radioelektronika. Informatika. Upravlenie, No. 2 (16), 37 (2006).
Ching-Ian Shie, Jui-Ching Cheng, et al., “Transdirectional coupled-line couplers implemented by periodical shunt capacitors,” IEEE Trans. Microwave Theory Tech. 57, No. 12, 2981 (2009).
I. N. Prudyus and V. I. Oborzhytskyy, “Method for calculating electrical parameters of trans-directional coupler on transmission lines,” in Proc. of 20th Int. Crimea Conf. ‘Microwave Devices and Telecommunication Technologies,’ September 13–17, 2010, Sevastopol, Ukraine (Sevastopol, Weber, 2010), Vol. 2, pp. 632–633.
A. Sabban and K. C. Gupta, “A planar-lumped model for coupled microstrip line discontinuities,” IEEE Trans. Microwave Theory Tech. 40, No. 2, 245 (1992).