Abstract
In this paper, a novel ultra-compact metamaterial unit-cell is introduced. The proposed unit-cell consists of one modified rings which has been designed based on the fractal technique and meander technique. These techniques are used to reduce the physical size of the conventional complementary split ring resonators (CSRRs). In the proposed metamaterial unit-cell which is called the fractal/meander CSRR (FMCSRR), the slot lines in the conventional CSRRs are replaced by the fractal and meander slots, simultaneously. The FMCSRR unit-cell is a planar metamaterial element which exhibits negative permittivity and is considered as electric dipole when excited by an axial electric field. Thus, the FMCSRR unit-cell is modeled as a shunt resonator tank. Therefore, by using the proposed FMCSRR configuration, all of the interior space of the ring has been used and the slot lines have been increased. Consequently, the higher inductance has been achieved and the resonance frequency of the proposed FMCSRR unit-cell becomes lower compared with the conventional CSRR. That’s mean the electrical size of the introduced unit-cell FMCSRR unit-cell is smaller than the conventional CSRR with the same physical sizes. A microstrip notch band filter, a microstrip band-pass filter, a half mode substrate integrated waveguide (HMSIW) band-pass filter and three HMSIW filtering power dividers (FPDs) with different power division ratios of 1:1, 1:4, and 1:8 have been designed to illustrate the ability of the proposed FMCSRR unit-cell in the size reduction. All of the designed devices operated at 2.4 GHz which are suitable for WLAN applications. For verification the performance of the utilized techniques in miniaturization of the dimension, the designed equal/unequal HMSIW FPDs have been fabricated and tested. A reasonable agreement between simulated and measured results has been achieved. The results confirmation that a miniaturization about 79% has been obtained. The total size of the proposed HMSIW FPDs are about 0.09λg × 0.09λg. The proposed HMSIW FPDs have many advantages in terms of compact size, low insertion loss, high selectivity, easy integration with the other planar circuits, and controllable bandwidth.
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Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
References
[1] R. Marques, F. Martin, and M. Sorolla, Metamaterials with Negative Parameters: Theory, Design, and Microwave Applications, vol. 183, Hoboken, NJ, John Wiley & Sons, Inc., 2011.Search in Google Scholar
[2] C. Caloz and T. Itoh, Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications, Hoboken, NJ, John Wiley & Sons, Inc., 2005.10.1002/0471754323Search in Google Scholar
[3] M. Alibakhshikenari, F. Babaeian, S. Bal Virdee, et al.., “A comprehensive survey on “various decoupling mechanisms with focus on metamaterial and metasurface principles applicable to SAR and MIMO antenna systems”,” IEEE Access, vol. 8, pp. 192965–193004, 2020. https://doi.org/10.1109/access.2020.3032826.Search in Google Scholar
[4] M. Alibakhshikenari, B. S. Virdee, L. Azpilicueta, et al.., “A comprehensive survey of “metamaterial transmission-line based antennas: design, challenges, and applications”,” IEEE Access, vol. 8, pp. 144778–144808, 2020. https://doi.org/10.1109/access.2020.3013698.Search in Google Scholar
[5] M. Alibakhshikenari, B. Singh Virdee, H. Chan See, R. A. Abd-Alhameed, F. Falcone, and E. Limiti, “High-isolation leaky-wave array antenna based on CRLH-metamaterial implemented on SIW with ±30o frequency beam-scanning capability at millimetre-waves,” Electronics, vol. 8, no. 6, p. 642, 2019. https://doi.org/10.3390/electronics8060642.Search in Google Scholar
[6] M. Alibakhshikenari, B. S. Virdee, A. Ali, and E. Limiti, “A novel monofilar-Archimedean metamaterial inspired leaky-wave antenna for scanning application for passive radar systems,” Microw. Opt. Technol. Lett., vol. 60, no. 8, pp. 2055–2060, 2018. https://doi.org/10.1002/mop.31300.Search in Google Scholar
[7] M. Danaeian and H. Ghayoumi-Zadeh, “Miniaturized substrate integrated waveguide filter using fractal open complementary split-ring resonators,” Int. J. RF Microw. Computer-Aided Eng., vol. 28, no. 5, 2018, Art no. e21249. https://doi.org/10.1002/mmce.21249.Search in Google Scholar
[8] M. Danaeian, A.-R. Moznebi, and K. Afrooz, “A novel super compact half-mode substrate-integrated waveguide filter using modified complementary split-ring resonator,” Int. J. RF Microw. Computer-Aided Eng., vol. 29, no. 6, 2019, Art no. e21709. https://doi.org/10.1002/mmce.21709.Search in Google Scholar
[9] M. Danaeian, K. Afrooz, and H. Ahmad, “Miniaturization of substrate integrated waveguide filters using novel compact metamaterial unit-cells based on SIR technique,” AEU - Int. J. Electron. Commun, vol. 84, pp. 62–73, 2018. https://doi.org/10.1016/j.aeue.2017.11.008.Search in Google Scholar
[10] M. Danaeian and K. Afrooz, “Compact metamaterial unit-cell based on stepped-impedance resonator technique and its application to miniaturize substrate integrated waveguide filter and diplexer,” Int. J. RF Microw. Computer-Aided Eng., vol. 29, no. 2, 2019, Art no. e21537. https://doi.org/10.1002/mmce.21537.Search in Google Scholar
[11] Y. Zhu, K. Song, M. Fan, and Y. Fan, “Wideband single-ended-to-balanced power divider with intrinsic common-mode suppression,” IEEE Microw. Wireless Compon. Lett., vol. 30, no. 4, pp. 379–382, 2020. https://doi.org/10.1109/lmwc.2020.2973863.Search in Google Scholar
[12] T. Feng, K. Ma, and Y. Wang, “A self-packaged power divider with compact size and low loss,” IEEE Trans. Circuits Syst. II: Express Br., vol. 67, no. 11, pp. 2437–2441, 2020. https://doi.org/10.1109/tcsii.2020.2965970.Search in Google Scholar
[13] M. Hayati and S. Zarghami, “Analysis of asymmetric coupling lines and design of a Wilkinson power divider based on harmonic suppression network,” AEU - Int. J. Electron. Commun, vol. 115, p. 153047, 2020. https://doi.org/10.1016/j.aeue.2019.153047.Search in Google Scholar
[14] A.-R. Moznebi, K. Afrooz, M. Danaeian, and P. Mousavi, “Four-way filtering power divider using SIW and eighth-mode SIW cavities with ultra-wide out-of-band rejection,” IEEE Microw. Wireless Compon. Lett., vol. 29, no. 9, pp. 586–588, 2019. https://doi.org/10.1109/lmwc.2019.2931115.Search in Google Scholar
[15] A.-R. Moznebi, M. Danaeian, E. Zarezadeh, and K. Afrooz, “Ultra-compact two-way and four-way SIW/HMSIW power dividers loaded by complementary split-ring resonators,” Int. J. RF Microw. Computer-Aided Eng., vol. 29, no. 10, 2019, Art no. e21878. https://doi.org/10.1002/mmce.21878.Search in Google Scholar
[16] A.-R. Moznebi, K. Afrooz, M. Danaeian, and P. Mousavi, “Compact filtering power divider based on corrugated third-mode circular SIW cavities,” Microw. Opt. Technol. Lett., vol. 62, no. 5, pp. 1900–1905, 2020.10.1002/mop.32259Search in Google Scholar
[17] M. Danaeian, A.-R. Moznebi, K. Afrooz, and A. Hakimi, “Miniaturized equal/unequal SIW power divider with band-pass response loaded by CSRRs,” Electron. Lett., vol. 52, no. 22, pp. 1864–1866, 2016. https://doi.org/10.1049/el.2016.2203.Search in Google Scholar
[18] M. Danaeian, A.-R. Moznebi, K. Afrooz, and H. Ahmad, “Miniaturized filtering SIW power divider with arbitrary power-dividing ratio loaded by open complementary split-ring resonators,” Int. J. Microw. Wirel. Technol., vol. 9, no. 9, pp. 1827–1832, 2017. https://doi.org/10.1017/s175907871700071x.Search in Google Scholar
[19] Q. Cao, H. Liu, and L. Gao, “Design of high selectivity filtering power divider with high out-of-band rejection,” Electromagnetics, vol. 39, no. 7, pp. 473–480, 2019. https://doi.org/10.1080/02726343.2019.1658162.Search in Google Scholar
[20] D. Lu, Y. Ming, N. Scott Barker, M. Li, and S.-W. Tang, “A simple and general method for filtering power divider with frequency-fixed and frequency-tunable fully canonical filtering-response demonstrations,” IEEE Trans. Microw. Theor. Tech., vol. 67, no. 5, pp. 1812–1825, 2019. https://doi.org/10.1109/tmtt.2019.2903504.Search in Google Scholar
[21] X. Wang, X.-W. Zhu, L. Tian, P. Liu, W. Hong, and A. Zhu, “Design and experiment of filtering power divider based on shielded HMSIW/QMSIW technology for 5G wireless applications,” IEEE Access, vol. 7, pp. 72411–72419, 2019. https://doi.org/10.1109/access.2019.2920150.Search in Google Scholar
[22] H. S. Vaziri, S. Zarghami, F. Shama, and A. Hossein Kazemi, “Compact band-pass Wilkinson power divider with harmonics suppression,” AEU - Int. J. Electron. Commun, vol. 117, p. 153107, 2020. https://doi.org/10.1016/j.aeue.2020.153107.Search in Google Scholar
[23] J. Dong, J. Shi, and K. Xu, “Compact wideband differential filtering power divider based on three-line coupled structure with lumped elements,” Electron. Lett., vol. 56, no. 12, pp. 609–611, 2020.10.1049/el.2020.0475Search in Google Scholar
[24] M. Luo, X.-H. Tang, X. Xu, Y.-H. Zhang, and Ri-H. Wu, “Filtering power divider with good output balance and unsymmetrical structure,” Microw. Opt. Technol. Lett., vol. 62, no. 4, pp. 1557–1563, 2020. https://doi.org/10.1002/mop.32237.Search in Google Scholar
[25] Z. He, C. Jiang You, S. Leng, and L. Xiang, “Compact power divider with improved isolation and band-pass response,” Microw. Opt. Technol. Lett., vol. 59, no. 7, pp. 1776–1781, 2017. https://doi.org/10.1002/mop.30621.Search in Google Scholar
[26] J. S. Hong, Microstrip Filters for RF/Microwave Application, New York, John Wiley & Sons, 2011.10.1002/9780470937297Search in Google Scholar
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