Abstract
Recently, as the science of materials has greatly advanced, the achieved results have changed the conventional vision of the intrinsic properties of materials such as chiral and metamaterial. An important class of existing microwave devices takes advantage of the bianisotropic materials phenomena and properties for the development of innovative devices that respond to the needs of modern technologies. In this scope, we have investigated the bianisotropic Tellegen medium used as a substrate for a printed dipole antenna; a complex material that is less addressed in the literature. Numerical studies are based on the development of the spectral Green’s functions and the method of moments is used to solve for the electromagnetic field components and the dipole input impedance. The behavior of the magnetoelectric elements of the Tellegen medium is highlighted by analyzing their effect on the electromagnetic field distribution and input impedance. Initial results reveal a negative real part of the dipole input impedance for some values of the magnetoelectric elements. A result that should be viewed in the light of unusual behavior of synthetic materials such as negative refractive index in metamaterials. An elementary explanation for this behavior is presented based on the analysis of the electromagnetic field distribution.
Similar content being viewed by others
References
Lakhtakia, A. (2002). Conditions for circularly polarized plane wave propagation in a linear bianisotropic medium. Electromagnetics, 22(2), 123–127.
Naheed, M., & Faryad, M. (2020). Surface plasmon-polariton waves guided by an interface of a metal and an obliquely mounted uniaxially chiral, bianisotropic material. Journal of Electromagnetic Waves and Applications, 34(13), 1756–1770.
Sihvola, A., & Lindell, I. V. (2017). Bianisotropic materials and PEM. In C. R. C. Press (Ed.), Theory and phenomena of metamaterials (pp. 1–26)
Simovski, C. R., Verney, E., Zouhdi, S., & Fourrier-Lamer, A. (2002). Homogenization of planar bianisotropic arrays on the dielectric interface. Electromagnetics, 22(3), 177–189.
Weiglhofer, W. S., & Lakhtakia, A. (1999). On electromagnetic waves in biaxial bianisotropic media. Electromagnetics, 19(4), 351–362.
Lindell, I. V., Tretyakov, S. A., Nikoskinen, K. I., & Ilvonen, S. (2001). BW media-Media with negative parameters, capable of supporting backward waves. Microwave and Optical Technology Letters, 31(2), 129–133.
Tretyakov, S. A. (2017). Complex-media electromagnetics and metamaterials. Journal of Optics, 19(8), 084006.
Zebiri, C., & Sayad, D. (2020). Effect of bianisotropy on the characteristic impedance of a shielded microstrip line for wideband impedance matching applications. Waves in Random and Complex Media, 1–14, 2020. https://doi.org/10.1080/17455030.2020.1752957
Weiglhofer, W. S. (1994). Dyadic green function for unbounded general uniaxial bianisotropic medium. International journal of electronics, 77(1), 105–115.
Zebiri, C., Benabdelaziz, F., & Sayad, D. (2012). Surface waves investigation of a bianisotropic chiral substrate resonator. Progress In Electromagnetics Research B, 40, 399–414.
Reddy, G. B., Adhithya, M. H., & Kumar, D. S. (2020). Design of circularly polarized patch antennas using anisotropic high refractive index metamaterial loading. Electromagnetics, 40(3), 186–198.
Pazynin, L. A., Pazynin, V. L., & Sliusarenko, H. O. (2017). Closed form of green function for some types of biaxial anisotropic media. Electromagnetics, 37(2), 106–112.
Peric, M. T., Ilić, S. S., Vučković, A. N., & Raičević, N. B. (2021). Analysis of bi-isotropic media using hybrid boundary element method. The Applied Computational Electromagnetics Society Journal (ACES), 36, 1265–1273.
Sayad, D., Zebiri, C., Elfergani, I., Rodriguez, J., Abobaker, H., Ullah, A., Abd-Alhameed, R., Otung, I., & Benabdelaziz, F. (2020). Complex bianisotropy effect on the propagation constant of a shielded multilayered coplanar waveguide using improved full generalized exponential matrix technique. Electronics, 9(2), 243.
Hasar, U. C., Ozturk, G., Kaya, Y., Barroso, J. J., & Ertugrul, M. (2021). Simple and accurate electromagnetic characterization of omega-class bianisotropic metamaterials using the state transition matrix method. IEEE Transactions on Antennas and Propagation, 69(10), 7064–7067.
Xia, L., Yang, B., Guo, Q., Gao, W., Liu, H., Han, J., Zhang, W., & Zhang, S. (2019). Simultaneous TE and TM designer surface plasmon supported by bianisotropic metamaterials with positive permittivity and permeability. Nanophotonics, 8(8), 1357–1362.
Das, G. K., Basu, S., Mandal, B., Mitra, D., Augustine, R., & Mitra, M. (2020). Gain-enhancement technique for wearable patch antenna using grounded metamaterial. IET Microwaves, Antennas and Propagation, 14(15), 2045–2052.
Zaid, J., & Denidni, T. A. (2021). Miniaturized circularly-polarized patch antenna using an artificial metamaterial substrate”. Progress In Electromagnetics Research, 109, 1–12.
Shen, Z., Fang, X., Li, S., Zhang, L., & Chen, X. (2022). Mechanically reconfigurable and electrically tunable active terahertz chiral metamaterials. Extreme Mechanics Letters, 51, 101562.
Buzov, A. L., Buzova M. A., Minkin, M. A., Klyuev, D. S., and Neshcheret, A. M., (2021) Calculation of characteristics of planar antenna arrays with substrates made of chiral metamaterials taking into account the dispersion of macroscopic parameters. IEEE 15th European Conference on Antennas and Propagation (EuCAP), 1–5.
Deng, X., Zhang, Z., Cao, J., Zhang, Z., & Tian, Y. (2019). Electromagnetic scattering analysis of normal chiral, metamaterials chiral and chiral nihility materials. Electromagnetics, 39(4), 227–240.
Klyuev, D. S., Neshcheret, A. M., Osipov, O. V., Potapov, A. A., & Sokolova, J. V. (2019). Microstrip and fractal antennas based on chiral metamaterials in MIMO systems. Chaotic modeling and simulation international conference (pp. 295–306). Springer.
Klyuev, D. S., Neshcheret, A. M., Osipov, O. V., Sokolova, Y. V., & Tabakov, D. P. (2021). Solution of a two-dimensional electrodynamic problem of determining of the current density distribution function over a strip radiating structure based on chiral metamaterials. Lobachevskii Journal of Mathematics, 42(6), 1345–1354.
Asadchy, V. S., Díaz-Rubio, A., & Tretyakov, S. A. (2018). Bianisotropic metasurfaces: Physics and applications. Nanophotonics, 7(6), 1069–1094.
Budhu, J., & Grbic, A. (2021). Recent advances in bianisotropic boundary conditions: theory, capabilities, realizations, and applications. Nanophotonics. https://doi.org/10.1515/nanoph-2021-0401
Budhu, J., Grbic A., (2021) Passive metasurface antenna with perfect aperture efficiency. In: 2021 Fifteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials), New York, NY.
Bouknia, M. L., Zebiri, C., Sayad, D., Elfergani, I., Matin, M., Desai, A., & Abobaker, H. (2022). Effect analysis of the general complex reciprocal gyro-bianisotropic metamaterial medium on the input impedance of a printed dipole antenna. Alexandria Engineering Journal, 61(5), 3691–3696.
Caloz, C., & Achouri, K. (2021). Electromagnetic metasurfaces: Theory and applications. Wiley.
Popov, V., Burokur, S. N., & Boust, F. (2020). Conformal sparse metasurfaces for wavefront manipulation. Physical Reviews Applied, 14(4), 4007.
Budhu, J., Grbic A., (2019). A rigorous approach to designing reflectarrays. ICECOM 2019—23rd International Conference on Applied Electromagnetics and Communications, Proceedings.
Klyuev, D. S., Minkin, M. A., Mishin, D. V., Neshcheret, A. M., & Tabakov, D. P. (2018). Characteristics of radiation from a microstrip antenna on a substrate made of a chiral Metamaterial. Radiophysics and Quantum Electronics, 61(6), 445–455.
Epstein, A., & Eleftheriades, G. V. (2016). Synthesis of passive lossless metasurfaces using auxiliary fields for reflectionless beam splitting and perfect reflection. Physical Review Letters, 117, 256103.
Epstein, A., & Eleftheriades, G. V. (2017). Arbitrary antenna arrays without feed networks based on cavity-excited omega-bianisotropic metasurfaces. IEEE Transactions on Antennas and Propagation, 65, 1749–1756.
Pandey, A. (2019). Practical microstrip and printed antenna design. Artech House.
Bouknia, M. L., Zebiri, C., Sayad, D., Elfergani, I., Rodriguez, J., Alibakhshikenari, M., Abd-Alhameed, R. A., Falcone, F., & Limiti, E. (2021). Theoretical study of the input impedance and electromagnetic field distribution of a dipole antenna printed on an electrical/magnetic uniaxial anisotropic substrate”. Electronics, 10(9), 1050.
Braaten, B. D., Rogers D. A., and Nelson R. M., (2009) Current distribution of a printed dipole with arbitrary length embedded in layered uniaxial anisotropic dielectrics,” In: Proceedings of the 2009 SBMO/IEEE MTT-S International Microwave and Optoelectronics Conference (IMOC), Belem, Brazil, 3–6 November 2009; pp. 72–77.
Braaten, B. D., Rogers, D. A., & Nelson, R. M. (2012). Multi-conductor spectral domain analysis of the mutual coupling between printed dipoles embedded in stratified uniaxial anisotropic dielectrics”. IEEE transactions on antennas and propagation, 60(4), 1886–1898.
Braaten, B. D., Nelson, R. M., & Rogers, D. A. (2009). Input impedance and resonant frequency of a printed dipole with arbitrary length embedded in stratified uniaxial anisotropic dielectrics”. IEEE Antennas and Wireless Propagation Letters, 8, 806–810.
Bouknia, M. L., Zebiri, C., Sayad, D., Elfergani, I., Alibakhshikenari, M., Rodriguez, J., Abd-Alhameed, R. A., Falcone, F., & Limiti, E. (2021). Analysis of the combinatory effect of uniaxial electrical and magnetic anisotropy on the input impedance and mutual coupling of a printed dipole antenna”. IEEE Access, 9, 84910–84921.
Sayad, D., Benabdelaziz, F., Zebiri, C., Daoudi, S., & Abd-Alhameed, A. A. (2016). Spectral domain analysis of gyrotropic anisotropy chiral effect on the input impedance of a printed dipole antenna”. Progress In Electromagnetics Research M, 51, 1–8.
Davidson, D. B., & Aberle, J. T. (2004). An introduction to spectral domain method-of-moments formulations”. IEEE Antennas and propagation Magazine, 46(3), 11–19.
Kamenetskii, E. O., Sigalov M., and Shavit R., (2008) Do the Tellegen particles really exist in electromagnetics? arXiv preprint arXiv:0807.4280.
Tretyakov, S. A., Maslovski, S. I., Nefedov, I. S., Viitanen, A. J., Belov, P. A., & Sanmartin, A. (2003). Artificial tellegen particle”. Electromagnetics, 23(8), 665–680.
Honglei, W., Kunde, Y., & Kun, Z. (2015). Performance of dipole antenna in underwater wireless sensor communication”. IEEE Sensors Journal, 15(11), 6354–6359.
Zebiri, C., Daoudi, S., Benabdelaziz, F., Lashab, M., Sayad, D., Nazar, A., & Abd-Alhameed, R. A. (2016). Gyro-chirality effect of bianisotropic substrate on the operational of rectangular microstrip patch antenna”. International Journal of Applied Electromagnetics and Mechanics, 51(3), 249–260.
Young, J. C., and Gedney S. D., (2015) A delta gap source for locally corrected Nyström discretized integral equations. In 2015 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting pp. 965–966.
Rana, I., & Alexopoulos, N. (1981). Current distribution and input impedance of printed dipoles. IEEE Transactions on Antennas and Propagation, 29(1), 99–105.
MATLAB, version. (2018). The mathworks Inc: Natick (p. 2018). MA.
Acknowledgements
This project received funding in part from the DGRSDT (Direction Générale de la Recherche Scientifique et du Développement Technologique), MESRS (Ministry of Higher Education and Scientific Research), Algeria. This work is supported by the Moore4Medical project, funded within ECSEL JU in collaboration with the EU H2020 Framework Programme (H2020/2014-2020) under grant agreement H2020-ECSEL-2019-IA-876190, and Fundação para a Ciência e Tecnologia (ECSEL/0006/2019). This work is also funded by the FCT/MEC through national funds and when applicable co-financed by the ERDF, under the PT2020 Partnership Agreement under the UID/EEA/50008/2020 project.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Zebiri, C., Bouknia, M.L., Sayad, D. et al. Negative input impedance of a dipole antenna printed on a grounded tellegen metamaterial substrate. Wireless Netw 28, 2237–2254 (2022). https://doi.org/10.1007/s11276-022-02962-6
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11276-022-02962-6