Abstract
A robust simulation-driven design methodology for computationally expensive microwave circuits with compact footprints has been presented. The general method introduced in this chapter is suitable for a wide class of N-port unconventional microwave circuits constructed as a deviation from classic design solutions. Conventional electromagnetic (EM) simulation-driven design routines are generally prohibitive when applied to numerically demanding microwave circuits with highly miniaturized and complex topologies. The key idea of the approach proposed here lies in an iterative redesign of a conventional circuit by a sequential modification and optimization of its atomic building blocks. The speed and accuracy of the presented method has been acquired by solving a number of simple optimization problems through surrogate-based optimization (SBO) techniques. Two exemplary designs have been supplied to verify the proposed method. An abbreviated wideband quarter-wave impedance matching transformer (MT) and a miniaturized hybrid branch-line coupler (BLC) have been developed. Diminished dimensions of the constructed circuits have been achieved by means of compact microstrip resonant cells (CMRCs). In the given examples, an implicit space mapping (ISM) technique has been utilized as a SBO engine. In general, the proposed method is compatible with other SBO routines as well. The final results have been acquired in only a fraction of time that is necessary for a direct EM optimization to generate competitive results. Numerical results have been validated experimentally.
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Gilmore, R., Besser, L.: Practical RF Circuit Design for Modern Wireless Systems. Artech House, Norwood (2003)
Ahn, H.-R.: In: Chang, K. (ed.) Asymmetric Passive Components in Microwave Integrated Circuits. Series: Wiley Series in Microwave and Optical Engineering, pp. 56–151. Wiley, New Jersey (2006)
Xu, H.-X., Wang, G.-M., Lu, K.: Microstrip rat-race couplers. IEEE Microw. Magazine 12, 117–129 (2011)
Ahn, H.-R., Bumman, K.: Toward integrated circuit size reduction. IEEE Microw. Magazine 9, 65–75 (2008)
Zatloukal, P., Heddle, R.M., Dabrowski, C.J.: Wireless mobile phone including a headset. US Patent no. 7373182 (2008)
Morimoto, H.: Personal digital assistant, wireless communication system and method of link establishment. US Patent no. 2004/0203372 (2004)
Ahn, S.-H.: Electronic smart meter enabling demand response and method for demand response. US Patent no. 8234017 (2012)
Harris, L.C., Smith, R.L.: Interferometric switched beam radar apparatus and method. US Patent no. 7755533 (2010)
Lewis, A.D., Mousseau, G.P., Gilhuly, B.J., Patterson, I.M., Banh, V.T., Rogobete, A., Burns, A.G., Lazaridis, M.: Wireless router system and method. US Patent no. 7529230 (2009)
Judd, M.D., Lovinggood, B.W., Tennant, D.T., Maca, G.A., Kuiper, W.P., Alford, J.L., Thomas, M.D., Veihl, J.C.: Repeaters for wireless communication systems. US Patent no. 8630581 (2014)
Pozar, D.M.: Microwave Engineering, 2nd edn, pp. 351–498. Wiley, New York (1998)
Opozda, S., Kurgan, P., Kitlinski, M.: A compact seven-section rat-race hybrid coupler incorporating PBG cells. Microw. Opt. Technol. Lett. 51, 2910–2913 (2009)
Di Paolo, F.: Networks and Devices Using Planar Transmission Lines. CRC Press, Boca Raton (2000)
Staras, S., Nartavicius, R., Skudutis, J., Urbanavicius, V., Daskevicius, V.: Wide-Band Slow-Wave Systems. Taylor & Francis Group, Boca Raton (2012)
Hirota, T., Minakawa, A., Muraguchi, M.: Reduced-size branch-line and rat-race hybrids for uniplanar MMICs. IEEE Trans. Microw. Theory Tech. 38, 270–275 (1990)
Gillick, M., Robertson, I.D., Joshi, J.S.: Coplanar waveguide two-stage balanced MMIC amplifier using impedance-transforming lumped-distributed branchline couplers. IEEE Proc. Microw. Antennas Propag. 141, 241–245 (1994)
Chiang, Y.-C., Chen, C.-Y.: Design of a wide-band lumped-element 3-dB quadrature coupler. IEEE Trans. Microw. Theory Tech. 49, 476–479 (2001)
Hong, J.-S., Lancaster, M.J.: Microstrip Filters for RF/Microwave Applications. Wiley, New~York (2001)
Li, Y., Zhang, Z., Li, Z., Zheng, J.: High-permittivity substrate multiresonant antenna metallic cover of laptop computer. IEEE Antennas Wirel. Propag. Lett. 10, 1092–1095 (2011)
Chen, Y.-C., Hsu, C.-H.: Inverted-E shaped monopole on high-permittivity substrate for application in industrial, scientific, medical, high-performance radio local area network, unlicensed national information infrastructure, and worldwide interoperability for microwave access. IET Microw. Antennas Propag. 8, 272–277 (2014)
Awai, I., Kubo, H., Iribe, T., Wakamiya, D., Sanada, A.: An artificial dielectric material of huge permittivity with novel anisotropy and its application to a microwave BPF. In: IEEE MTT-S Int. Microw. Symp. Dig., pp. 1085–1088 (2003)
Wu, H.-S., Tzuang, C.-K.C.: Artificially integrated synthetic rectangular waveguide. IEEE Trans. Microw. Theory Tech. 53, 2872–2881 (2005)
Elek, F., George, E.: On the slow wave behavior of the shielded mushroom structure. In: IEEE MTT-S Int. Microw. Symp. Dig., pp. 1333–1336 (2008)
Seki, S., Hasegawa, H.: Cross-tie slow-wave coplanar waveguide on semi-insulating GaAs substrate. Electron. Lett. 17, 940–941 (1981)
Xue, Q., Shum, K.M., Chan, C.H.: Novel 1-D microstrip PBG cells. IEEE Microw. Guid. Wave Lett. 10, 403–405 (2000)
Shum, K.M., Xue, Q., Chan, C.H.: A novel microstrip ring hybrid incorporating a PBG cell. IEEE Microw. Wirel. Compon. Lett. 11, 258–260 (2001)
Sun, K.-O., Ho, S.-J., Yen, C.-C., Weide, D.: A compact branch-line coupler using discontinuous microstrip lines. IEEE Microw. Wirel. Compon. Lett. 8, 519–520 (2005)
Eccleston, K.W., Ong, S.H.M.: Compact planar microstripline branch-line and rat-race couplers. IEEE Trans. Microw. Theory Tech. 51, 2119–2125 (2003)
Gandini, E., Ettorre, M., Sauleau, R., Grbic, A.: A lumped-element unit cell for beam-forming networks and its application to a miniaturized Butler matrix. IEEE Trans. Microw. Theory Tech. 61, 1477–1487 (2013)
Mongia, R., Bahl, I., Bhartia, P.: RF and Microwave Coupler-Line Circuits. Artech House, Boston (1999)
Hou, J.-A., Wang, Y.-H.: Design of compact 90° and 180° couplers with harmonic suppression using lumped-element bandstop resonators. IEEE Trans. Microw. Theory Tech. 58, 2932–2939 (2010)
Brillouin, L.: Wave Propagation in Periodic Structures. McGraw-Hill Book Company, Inc., New York (1946)
Caloz, C., Itoh, T.: Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications: The Engineering Approach. Wiley, Hoboken (2006)
Yang, F.-R., Ma, K.-P., Qian, Y., Itoh, T.: A uniplanar compact photonic-bandgap (UC-PBG) structure and its applications for microwave circuits. IEEE Trans. Microw. Theory Tech. 47, 1509–1614 (1999)
Kurgan, P., Kitlinski, M.: Novel doubly perforated broadband microstrip branch-line coupler. Microw. Opt. Technol. Lett. 51, 2149–2152 (2009)
Zhou, C., Yang, H.Y.D.: Design considerations of miniaturized least dispersive periodic slow-wave structures. IEEE Trans. Microw. Theory Tech. 56, 467–474 (2008)
Chun, Y.-H., Hong, J.-S.: Compact wide-band branch-line hybrids. IEEE Trans. Microw. Theory Tech. 54, 704–709 (2006)
Wang, J., Wang, B.-Z., Guo, Y.-X., Ong, L.C., Xiao, S.: A compact slow-wave microstrip branch-line coupler with high performance. IEEE Microw. Wirel. Compon. Lett. 17, 501–503 (2007)
Kurgan, P., Kitlinski, M.: Doubly miniaturized rat-race hybrid coupler. Microw. Opt. Technol. Lett. 53, 1242–1244 (2011)
Kurgan, P., Kitlinski, M.: Slow-wave fractal-shaped compact microstrip resonant cell. Microw. Opt. Technol. Lett. 52, 2613–2615 (2010)
Kurgan, P., Bekasiewicz, A.: A robust design of a numerically demanding compact rat-race coupler. Microw. Opt. Technol. Lett. 56, 1259–1263 (2014)
Abdi, H., Williams, L.J.: Principal component analysis. Wiley Interdiscip. Rev. Comput. Stat. 2, 433–459 (2010)
Kurgan, P., Filipcewicz, J., Kitlinski, M.: Design considerations for compact microstrip resonant cells dedicated to efficient branch-line coupler miniaturization. Microw. Opt. Technol. Lett. 54, 1949–1954 (2012)
Bekasiewicz, A., Kurgan, P.: A compact microstrip rat-race coupler constituted by nonuniform transmission lines. Microw. Opt. Technol. Lett. 56, 970–974 (2014)
Radtke, K., Kurgan, P., Bekasiewicz, A., Kitlinski, M.: Zminiaturyzowane, planarne filtry pasmowo-przepustowe o nowej topologii. Wiadomości Elektrotechniczne 11, 34–36 (2012) (in polish)
Koziel, S., Kurgan, P.: Low-cost optimization of compact branch-line couplers and its application to miniaturized Butler matrix design. In: Eur. Microw. Conf. (2014, to appear)
Liao, S.-S., Sun, P.-T., Chin, N.-C., Peng, J.-T.: A novel compact-size branch-line coupler. IEEE Microw. Wirel. Compon. Lett. 15, 588–590 (2005)
Liao, S.-S., Peng, J.-T.: Compact planar microstrip branch-line couplers using the quasi-lumped elements approach with nonsymmetrical and symmetrical T-shaped structure. IEEE Trans. Microw. Theory Tech. 54, 3508–3514 (2006)
Tang, C.-W., Chen, M.-G.: Synthesizing microstrip branch-line couplers with predetermined compact size and bandwidth. IEEE Trans. Microw. Theory Tech. 55, 1926–1934 (2007)
Jung, S.-C., Negra, R., Ghannouchi, F.M.: A design methodology for miniaturized 3-dB branch-line hybrid couplers using distributed capacitors printed in the inner area. IEEE Trans. Microw. Theory Tech. 56, 2950–2953 (2008)
Ahn, H.-R.: Modified asymmetric impedance transformers (MCCTs and MCVTs) and their application to impedance-transforming three-port 3-dB power dividers. IEEE Trans. Microw. Theory Tech. 59, 3312–3321 (2011)
Tseng, C.-H., Chang, C.-L.: A rigorous design methodology for compact planar branch-line and rat-race couplers with asymmetrical T-structures. IEEE Trans. Microw. Theory Tech. 59, 2085–2092 (2012)
Kuo, J.-T., Wu, J.-S., Chiou, Y.-C.: Miniaturized rat-race coupler with suppression of spurious passband. IEEE Microw. Wirel. Compon. Lett. 17, 46–48 (2007)
Mondal, P., Chakrabarty, A.: Design of miniaturized branch-line and rat-race hybrid couplers with harmonics suppression. IET Microw. Antennas Propag. 3, 109–116 (2009)
Tseng, C.-H., Chen, H.-J.: Compact rat-race coupler using shunt-stub-based artificial transmission lines. IEEE Microw. Wirel. Compon. Lett. 18, 734–736 (2008)
Wang, C.-W., Ma, T.-G., Yang, C.-F.: A new planar artificial transmission line and its applications to a miniaturized Butler matrix. IEEE Trans. Microw. Theory Tech. 55, 2792–2801 (2007)
Tsai, K.-Y., Yang, H.-S., Chen, J.-H., Chen, Y.-J.: A miniaturized 3 dB branch-line hybrid coupler with harmonics suppression. IEEE Microw. Wirel. Compon. Lett. 21, 537–539 (2011)
Ahn, H.-R., Nam, S.: Compact microstrip 3-dB coupled-line ring and branch-line hybrids with new symmetric equivalent circuits. IEEE Trans. Microw. Theory Tech. 61, 1067–1078 (2013)
Chuang, M.-L.: Miniaturized ring coupler of arbitrary reduced size. IEEE Microw. Wirel. Compon. Lett. 21, 16–18 (2005)
Ahn, H.-R., Kim, B.: Small wideband coupled-line ring hybrids with no restriction on coupling power. IEEE Trans. Microw. Theory Tech. 61, 1806–1817 (2009)
Lee, H.-S., Choi, K., Hwang, H.-Y.: A harmonic and size reduced ring hybrid using coupled line. IEEE Microw. Wirel. Compon. Lett. 17, 259–261 (2005)
Ahn, H.-R., Nam, S.: Wide band microstrip coupled-line ring hybrids for high power-division ratios. IEEE Trans. Microw. Theory Tech. 61, 1768–1780 (2013)
Collin, R.E.: Foundations for Microwave Engineering. Wiley, New York (2001)
Queipo, N.V., Haftka, R.T., Shyy, W., Goel, T., Vaidynathan, R., Tucker, P.K.: Surrogate-based analysis and optimization. Prog. Aerosp. Sci. 41, 1–28 (2005)
Yelten, M.B., Zhu, T., Koziel, S., Franzon, P.D., Steer, M.B.: Demystifying surrogate modeling for circuits and systems. IEEE Circuits Syst. Magazine 12, 45–63 (2012)
Koziel, S., Ogurtsov, S.: Simulation-driven design in microwave engineering: methods. In: Koziel, S., Yang, X.S. (eds.) Computational Optimization, Methods and Algorithms. Series: Studies in Computational Intelligence, vol. 356. Springer, Berlin (2011)
Koziel, S.: Efficient optimization of microwave circuits using shape-preserving response prediction. In: IEEE MTT-S Int. Microw. Symp. Dig., pp. 1569–1572 (2009)
Bandler, J.W., Cheng, Q.S., Dakroury, S.A., Mohamed, A.S., Bakr, M.H., Madsen, K., Sondergaard, J.: Space mapping: the state of the art. IEEE Trans. Microw. Theory Tech. 52, 337–361 (2004)
Liu, X., Wang, G., Liu, J.: A wideband model of on-chip CMOS interconnects using space-mapping technique. Int. J. RF Microw. Comput. Aid. Eng. 21, 439–445 (2011)
Bandler, J.W., Biernacki, R.M., Chen, S.H., Grobelny, P.A., Hemmers, R.H.: Space mapping technique for electromagnetic optimization. IEEE Trans. Microw. Theory Tech. 42, 2536–2544 (1994)
Bakr, M.H., Bandler, J.W., Biernacki, R.M., Chen, S.H., Madsen, K.: A trust region aggressive space mapping algorithm for EM optimization. IEEE Trans. Microw. Theory Tech. 46, 2412–2425 (1998)
Bakr, M.H., Bandler, J.W., Ismail, M.A., Rayas-Sanchez, J.E., Zhang, Q.-J.: Neural space-mapping optimization for EM-based design. IEEE Trans. Microw. Theory Tech. 48, 2307–2315 (2000)
Koziel, S., Bandler, J.W.: A space-mapping approach to microwave device modeling exploiting fuzzy systems. IEEE Trans. Microw. Theory Tech. 55, 2539–2547 (2007)
Koziel, S., Meng, J., Bandler, J.W., Bakr, M.H., Cheng, Q.S.: Accelerated microwave design optimization with tuning space mapping. IEEE Trans. Microw. Theory Tech. 57, 383–394 (2009)
Xu, H.-X., Wang, G.-M., Zhang, C.-X., Yu, Z.-W., Chen, X.: Composite right/left-handed transmission line based on complementary single-split ring resonator pair and compact power dividers application using fractal geometry. IET Microw. Antennas Propag. 6, 1017–1025 (2012)
Smierzchalski, M., Kurgan, P., Kitlinski, M.: Improved selectivity compact brand-stop filter with Gosper fractal-shaped defected ground structures. Microw. Opt. Technol. Lett. 52, 227–229 (2010)
Bekasiewicz, A., Kurgan, P., Kitlinski, M.: New approach to a fast and accurate design of microwave circuits with complex topologies. IET Microw. Antennas Propag. 6, 1616–1622 (2012)
Koziel, S., Echeverría-Ciaurri, C., Leifsson, L.: Surrogate-based methods. In: Koziel, S., Yang, X.-S. (eds.) Computational Optimization, Methods and Algorithms, pp. 33–59. Springer, Berlin (2011)
Kurgan, P., Filipcewicz, J., Kitlinski, M.: Development of a compact microstrip resonant cell aimed at efficient microwave component size reduction. IET Microw. Antennas Propag. 6, 1291–1298 (2012)
Koziel, S., Bandler, S.W., Madsen, K.: A space mapping framework for engineering optimization: theory and implementation. IEEE Trans. Microw. Theory Tech. 54, 3721–3730 (2006)
Bandler, J.W., Cheng, Q.S., Nikolova, N.K., Ismail, M.A.: Implicit space mapping optimization exploiting preassigned parameters. IEEE Trans. Microw. Theory Tech. 52, 378–385 (2004)
Koziel, S., Cheng, Q.S., Bandler, J.W.: Space mapping. IEEE Microw. Magazine 9, 105–122 (2008)
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Kurgan, P., Bekasiewicz, A. (2014). Atomistic Surrogate-Based Optimization for Simulation-Driven Design of Computationally Expensive Microwave Circuits with Compact Footprints. In: Koziel, S., Leifsson, L., Yang, XS. (eds) Solving Computationally Expensive Engineering Problems. Springer Proceedings in Mathematics & Statistics, vol 97. Springer, Cham. https://doi.org/10.1007/978-3-319-08985-0_8
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