Variety of designs for artificial magnetic materials have been proposed in the literature. in most designs such as split-ring resonators, the inductive and capacitive responses of metallic inclusions are dependent since the area and perimeter of the resonators' geometry cannot be tuned independently. In this work, three generic resonators for the design of artificial magnetic materials are proposed. The resonators are called rose curve resonator, corrugated rectangular resonator, and sine oval resonator. The proposed resonators' patterns are characterized so that their areas and perimeters vary independently. Thus, the geometries are capable of satisfying any realizable combination of area and perimeter designed for an artificial magnetic material with desired properties. Numerical studies are considered showing the effectiveness of the new geometries to fulfil design specifications.
Omar M. Ramahi,
"Generic Building Blocks for Construction of Artificial Magnetic Media," Progress In Electromagnetics Research B,
Vol. 62, 17-28, 2015. doi:10.2528/PIERB14110505
1. Pendry, J. B., A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Transactions on Microwave Theory and Techniques, Vol. 47, No. 11, 2075-2084, November 1999. doi:10.1109/22.798002
2. Marques, R., F. Medina, and . Rafii-El-Idrissi, "Role of bianisotropy in negative permeability and left-handed metamaterials," Physical Review B, Vol. 65, No. 144440, 1-6, April 2002.
3. Maslovski, S. I., P. M. T. Ikonen, I. Kolmakov, S. A. Tretyakov, and M. Kaunisto, "Artificial magnetic materials based on the new magnetic particle: Metasolenoid," Progress In Electromagnetics Research, Vol. 54, No. 9, 61-81, September 2005. doi:10.2528/PIER04101101
4. Baena, J. D., R. Marques, F. Medina, and J. Martel, "Artificial magnetic metamaterial design by using spiral resonators," Physical Review B — Condensed Matter and Materials Physics, Vol. 69, No. 1, 141-145, January 2004. doi:10.1103/PhysRevB.69.014402
5. Smith, D. R. and J. B. Pendry, "Homogenization of metamaterials by field averaging," Journal of Optical Society America B, Vol. 23, No. 3, 391-403, March 2006. doi:10.1364/JOSAB.23.000391
6. Kabiri, A., L. Yousefi, and O. M. Ramahi, "On the fundamental limitations of artificial magnetic materials," IEEE Transanction on Antennas and Propagation, Vol. 58, No. 7, 2345-2353, July 2010. doi:10.1109/TAP.2010.2048845
7. Ikonen, P. M. T., K. N. Rozanov, A. V. Osipov, P. Alitalo, and S. A. Tretyakov, "Magnetodielectric substrates in antenna miniaturization: Potential and limitations," IEEE Transactions on Antenna and Propagation, Vol. 54, No. 11, 3391-3399, November 2006. doi:10.1109/TAP.2006.884303
9. Landy, N. I., S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padillal, "Perfect metamaterial absorber," Physical Review Letters, Vol. 100, No. 20, 207-402, May 2008. doi:10.1103/PhysRevLett.100.207402
10. Lahiri, B., A. Z. Khokhar, R. M. Delarue, S. G. McMeekin, and N. P. Johnson, "Asymmetric split ring resonators for optical sensing of organic materials," Optics Express, Vol. 4, No. 3, 1107-1115, January 2009. doi:10.1364/OE.17.001107
11. Kabiri, A. and O. M. Ramahi, "Artificial magnetic materials synthesis with generic metallic broken loops," Progress In Electromagnetics Research, Vol. 140, 105-129, 2013. doi:10.2528/PIER13021503
12. Kabiri, A. and O. M. Ramahi, "Effect of curvature of metamaterial inclusions on their magnetic properties," Proceeding of Meta’10 Second International Conference on Metamaterials, Photonic Crystals and Plasmonics, Cairo, February 2010.
13. Forray, M. J., Variatioal Calculus in Science and Engineering, McGraw Hill, 1968.
14. Cummer, S. A., B.-I. Popa, and T. H. Hand, "Q-based design equations and loss limits for resonant metamaterials and experimental validation," IEEE Transactions on Antenna and Propagation, Vol. 56, No. 1, 127-132, January 2008. doi:10.1109/TAP.2007.912959
15. Kabiri, A. and O.M. Ramahi, "nth order rose curve as a generic candidate for RF artificial magnetic material," Applied Physics Letter, Vol. 103, 831-834, January 2011. doi:10.1007/s00339-010-6222-y
16. Sassi, I., A. Kabiri, L. Talbi, and K. Hettak, "Magnetic response of n-th order rose curve resonators in the RF frequency regime," Applied Physics Letter, Vol. 1, No. 1, 18-25, 2012.