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Designing of tri-band bandpass microwave filter based on (E–Z) inter-coupled tapered metamaterial resonators for C- and X-band applications and operations

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Abstract

High-frequency devices using the filtering function have contributed in one way or another to the development of modern electronic systems. Multi-band microwave filters can cover several frequency bands for a single device; they have allowed designers to have more miniaturized systems. In this paper, a tri-band bandpass microwave filter (TBBPF) is reported for a novel design. Our design approach is based on the use of tapered metamaterial resonators to be able to control the resonances of our filter according to the desired frequency bands. The proposed TBBPF consists of a pair of this kind of split-ring resonator (SRR) of the same (E–Z) geometric shape for two different sizes chosen from among three studied sizes. Each (EZ-SRR) resonator is formed by a dual-E-shaped outer ring coupled to an inner Z-shaped segment to have the necessary electromagnetic coupling with the desired miniaturization. The sizes of the two EZ-SRRs forming the filter are optimized for the physical dimensions of (25 \(\times\) 22) mm2 for the large resonator and (22 \(\times\) 18) mm2 for the medium-sized resonator. The TBBPF is parallelly fed by two microstrip lines, and the assembly is printed on a Rogers RO4003 dielectric substrate with physical characteristics (\(\varepsilon_{r}\) = 3.55; \(tg\delta\) = 0.0027). The two EZ-SRRs are connected by a conductive arm to create the third resonance. Numerical calculations using the High-Frequency Structure Simulator (HFSS) calculator based on the finite-element method (FEM) are carried out to design the EZ-SRR resonator and the global filter of electrical dimensions (1.1 \(\lambda_{0} \times\) 0.73 \(\lambda_{0}\)), where \(\lambda_{0}\) is the free space wavelength at the operating center frequency of the lower band computed at 4.22 GHz. The obtained results show a bandpass behavior of our proposed structure for three bandwidths; two of them covering the C-band for 220 and 235 MHz widths at 4.22 and 7.36 GHz resonances, respectively. The third bandwidth of 870 MHz width at the 9.35 GHz resonance covers the X-band. The offered TBBPF is fit for wireless communications, sensors, and radar systems.

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Acknowledgements

This work was supported by the Algerian Ministry of Higher Education and Scientific Research and the General Directorate of Scientific Research and Technological Development (DGRSDT) via funding through the PRFU under Project No. A25N01UN220120200001.

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Authors and Affiliations

  1. Department of Electrotechnic, University Mustapha Stambouli of Mascara, 29000, Mascara, Algeria

    Mohammed Berka

  2. Laboratory E.P.O, University of S.B.A, 22000, Sidi Bel Abbés, Algeria

    Mohammed Berka, Amina Bendaoudi, Kaddour Benkhallouk, Zoubir Mahdjoub & Ahmed Yacine Rouabhi

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  1. Mohammed Berka
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  2. Amina Bendaoudi
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Berka, M., Bendaoudi, A., Benkhallouk, K. et al. Designing of tri-band bandpass microwave filter based on (E–Z) inter-coupled tapered metamaterial resonators for C- and X-band applications and operations. Appl. Phys. A 128, 1112 (2022). https://doi.org/10.1007/s00339-022-06242-0

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