Empirical Insights into Backward Directivity Estimation of CPW-Fed Flexible Antennas Using Characteristic Mode Analysis
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Abstract
This research proposes an empirical approach for estimating the backward directivity of a coplanar waveguide (CPW) flexible patch antenna using characteristic mode analysis (CMA). The proposed methodology involves developing a simple formula to calculate substrate-independent antenna backward directivity from the antenna's characteristic modes (CMs). It establishes a relationship between the characteristic modes and the antenna structure's natural resonant frequency, accounting for resonant frequency variations caused by substrate property changes. The approach remains valid for both traditional and complex antenna designs. Calculation results showed satisfactory agreement with simulation results, achieved without considering substrate or excitation effects. Finally, the approach demonstrated low error rates and rapid backward directivity. The method is verified with four antennas whose bandwidths range from 2 GHz to more than 11 GHz. Results illustrate that the estimation approach for conventional design attains a low rate of error (RoE) of 0.044.
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References
R. Joshi and A. Sharma, “Compact size and high gain microstrip patch antenna design for mmWave 5G wireless communication,” in Proc. 2024 Int. Conf. Integr. Circuits Commun. Syst. (ICICACS), Raichur, India, 2024, pp. 1–4, DOI: 10.1109/ICICACS60521.2024.10498315.
B. Q. Elias, M. Alsajri, P. J. Soh, and A. A. Al-Hadi, “Design of flexible planar antennas using substrate gap structure for surface wave reduction,” in Proc. 2019 22nd Int. Conf. Control Syst. Comput. Sci. (CSCS), Bucharest, Romania, 2019, pp. 453–458, DOI: 10.1109/CSCS.2019.00083.
H. Zhao, Q. Wang, J. Du, L. Chen, W. Yue, and W. Wang, “Micro-electromechanical system-based parasitic patch antenna on quartz substrate for high gain,” Sensors, vol. 25, no. 3, p. 607, 2025, DOI: 10.3390/s25030607.
Z. Siddiqui et al., “Dual-band dual-polarized planar antenna for 5G millimeter-wave antenna-in-package applications,” IEEE Trans. Antennas Propag, vol. 71, no. 4, pp. 2908–2921, Apr. 2023, DOI: 10.1109/TAP.2023.3240032.
M. Tamma, A. Boonjue, W. Wiboonjaroen, S. Ramphueiphad, and S. Kampeephat, “Performance improvement of slot antenna with metamaterial for modern wireless communication,” Results Eng, vol. 23, p. 102686, 2024, DOI: 10.1016/j.rineng.2024.102686.
A. S. Abdel Halim, Z. Abdel-Salam, M. Abdel-Harith, and O. Hamdy, “Investigating the effect of changing the substrate material analyzed by laser-induced breakdown spectroscopy on the antenna performance,” Sci. Rep, vol. 14, no. 1, p. 1964, Jan. 2024, DOI: 10.1038/s41598-024-52435-3.
X. Yang et al., “Freezing of gait detection considering leaky wave cable,” IEEE Trans. Antennas Propag., vol. 67, pp. 554–561, 2019, DOI: 10.1109/TAP.2018.2878081.
B. B. Q. Elias, A. A. Al-Hadi, P. Akkaraekthalin, and P. J. Soh, “A dimension estimation method for rigid and flexible planar antennas based on characteristic mode analysis,” Electronics, vol. 11, no. 21, p. 3585, 2022, DOI: 10.3390/electronics11213585.
N. Singh, V. Singh, R. Saini, J. P. Saini, and A. Bhoi, “Microstrip textile antenna with jeans substrate with applications in S-band,” in Adv. Commun., Devices, Netw, Singapore: Springer, 2018, pp. 369–376, DOI: 10.1007/978-981-10-7901-6_40.
C. Deng, Z. Zhao, and W. Yu, “Characteristic mode analysis of circular microstrip patch antenna and its application to pattern diversity design,” IEEE Access, vol. 10, pp. 2399–2407, 2022, DOI: 10.1109/ACCESS.2021.3139316.
M. Khan, T. Murad, and N. Lusdyk, “Beamforming analysis of dual beam antenna array using theory of characteristic modes,” IEEE Open J. Antennas Propag, vol. 5, no. 6, pp. 1465–1475, Dec. 2024, DOI: 10.1109/OJAP.2024.3449752.
J. Zhang, H. Shi, Z. Fan, T. Jiang, C. Ma, and S. Dong, “Design of a dual-polarized microstrip antenna with low backward radiation,” in Proc. 2023 6th Int. Conf. Commun. Eng. Technol. (ICCET), Xi’an, China, 2023, pp. 89–93, DOI: 10.1109/ICCET58756.2023.00023.
A. Jafargholi, A. Jafargholi, and J. H. Choi, “Mutual coupling reduction in an array of patch antennas using CLL metamaterial superstrate for MIMO applications,” IEEE Trans. Antennas Propag, vol. 67, no. 1, pp. 179–189, Jan. 2019, DOI: 10.1109/TAP.2018.2874747.
A. Raj and N. Gupta, “Radiation characteristics of microstrip antenna on frequency selective surface absorbing layer,” Int. J. Microw. Wireless Technol, vol. 13, no. 9, pp. 962–968, 2021, DOI: 10.1017/S1759078720001610.
K. Klionovski and A. Shamim, “Back radiation suppression through a semitransparent ground plane for a mm-wave patch antenna,” IEEE Trans. Antennas Propag, vol. 65, no. 8, pp. 3935–3941, 2017, DOI: 10.1109/TAP.2017.2717967.
A. Jafargholi, A. Jafargholi, J. H. Choi, M. Veysi, and A. Soleimani, “Microstrip patch back radiation reduction using metamaterial superstrate,” IET Microw. Antennas Propag, vol. 14, no. 2, pp. 158–164, Nov. 2019, DOI: 10.1049/iet-map.2018.6237.
A. Gupta and V. Kumar, “Design of a tri-band patch antenna with back reflector for off-body communication,” Wireless Pers. Commun, vol. 115, pp. 173–185, 2020, DOI: 10.1007/s11277-020-07566-x.
B. B. Q. Elias, M. A. Alqaisy, and P. J. Soh, “Design of X/Ku and K band flexible cloud-fractal wideband antenna with bandwidth estimation using CMA,” Microwave Rev, vol. 30, no. 1, pp. 23–28, 2024, DOI: 10.18485/mtts_mr.2024.30.1.4.
B. B. Q. Elias and P. J. Soh, “Resonance analysis and gain estimation using CMA-based even mode combination method for flexible wideband antennas” Sensors, vol. 23, no. 11, p. 5297, June 2023.
L.-M. Si and X. Lv, “CPW-fed multi-band omni-directional planar microstrip antenna using composite metamaterial resonator for wireless communications,” Prog. Electromagn. Res, vol. 83, pp. 133–146, 2008, DOI: 10.2528/pier08050404.
R. P. Dwivedi and U. K. Kommuri, “CPW feed dual band and wideband antennas using crescent shape and T-shape stub for Wi-Fi and WiMAX application,” Microw. Opt. Technol. Lett, vol. 59, pp. 2586–2591, 2017, DOI: 10.1002/mop.30786.
W.-C. Liu, C.-M. Wu, and N.-C. Chu, “A compact CPW-fed slotted patch antenna for dual-band operation,” IEEE Antennas Wirel. Propag. Lett, vol. 9, pp. 110–113, 2010, DOI: 10.1109/LAWP.2010.2044135.
M. Hua, P. Wang, Y. Zheng, and S. Yuan, “Compact tri-band CPW-fed antenna for WLAN/WiMAX applications,” Electron. Lett, vol. 49, pp. 1118–1119, 2013, DOI: 10.1049/el.2013.1669.
W. A. Awan et al., “A miniaturized wideband and multi-band on-demand reconfigurable antenna for compact and portable devices,” AEU - Int. J. Electron. Commun,, vol. 122, p. 153266, 2020, DOI: 10.1016/j.aeue.2020.153266.
R. Wu, P. Wang, Q. Zheng, and R. Li, “Compact CPW-fed triple-band antenna for diversity applications” Electron. Lett, vol. 51, pp. 735–736, 2015, DOI: 10.1049/el.2015.0466.