volume | PIER Journals

Abstract

A broadband method is introduced to measure the effective constitutive parameters of artificial magnetic materials. The method is based on the microstrip line topology, thus making it easy to retrieve the constitutive parameters over a wide band of frequencies. To demonstrate the effectiveness of this method, artificial magnetic materials with Fractal Hilbert inclusions are fabricated and characterized. Good agreement between the experimental and numerical simulation results verifies the accuracy of the proposed method.

1. Rozanova, K. N., Z. W. Li, L. F. Chen, and M. Y. Koledintseva, "Microwave permeability of co2z composites," Journal of Applied Physics, Vol. 97, 013905, 2004.
doi:10.1063/1.1827911 Google Scholar

2. Adenot, A. L., O. Acher, T. Taffary, and L. Longuet, "Sum rules on the dynamic permeability of hexagonal ferrites," Journal of Applied Physics, Vol. 91, 7601-7603, 2002.
doi:10.1063/1.1447505 Google Scholar

3. Acher, O. and A. L. Adenot, "Bounds on the dynamic properties of magnetic materials," Physical Review B, Vol. 62, No. 17, 11324-11327, 2000.
doi:10.1103/PhysRevB.62.11324 Google Scholar

4. Yao, H. Y., L. W. Li, Q. Wu, and J. A. Kong, "Macroscopic performance analysis of metamaterials synthesized from micrsocopic 2-D isotropic cross split-ring resonator array," Progress In Electromagnetics Research, PIER 51, 197-217, 2005. Google Scholar

5. Pendry, J. B., A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech., Vol. 47, 2075-2084, Nov. 1999. Google Scholar

6. Bilotti, F., A. Alu, N. Engheta, and L. Vegni, "Anomalous properties of scattering from cavities partially loaded with double-negative or single-negative metamaterials," Progress In Electromagnetics Research, PIER 51, 49-63, 2005. Google Scholar

7. Maslovski, S., P. Ikonen, I. Kolmakov, and S. Tretyakov, "Artificial magnetic materials based on the new magnetic particle: Metasolenoid," Progress In Electromagnetics Research, PIER 54, 61-81, 2005. Google Scholar

8. Buell, K., H. Mosallaei, and K. Sarabandi, "A substrate for small patch antennas providing tunable miniaturization factors," IEEE Trans. Microwave Theory Tech., Vol. 54, 135-146, Jan. 2006.
doi:10.1109/TMTT.2005.860329 Google Scholar

9. Yousefi, L. and O. M. Ramahi, "New artificial magnetic materials based on fractal hilbert curves," Proceeding of IWAT07, 237-240, 2007. Google Scholar

10. Ikonen, P. M. T., P. M. T., S. I. Maslovski, C. R. Simovski, and S. A. Tretyakov, "On artificial magnetodielectric loading for improving the impedance bandwidth properties of microstrip antennas," IEEE Trans. on Antenna Propagation, Vol. 54, 1654-1662, 2006.
doi:10.1109/TAP.2006.875912 Google Scholar

11. Chen, L., C. K. Ong, and B. T. G. Tan, "Cavity perturbation technique for the measurement of permittivity tensor of uniaxially anisotropic dielectrics," IEEE Trans. Instrum. Meas., Vol. 48, 1023-1030, 1999.
doi:10.1109/19.816108 Google Scholar

12. Buell, K. and K. Sarabandi, "A method for characterizing complex permittivity and permeability of meta-materials," Proceeding of IEEE Antennas and Propagation Society International Symposium, Vol. 2, 408-411, 2002. Google Scholar

13. Greegor, R. B., C. G. Parazzoli, K. Li, B. E. C. Koltenbah, and M. Tanielian, "Experimental determination and numerical simulation of the properties of negative index of refraction materials," Optics Express, Vol. 11, 688-695, 2003. Google Scholar

14. Starr, A. F., P. M. Rye, D. R. Smith, and S. Nemat-Nasser, "Fabrication and characterization of a negative-refractive-index composite metamaterial," Physical Review B, Vol. 70, 113102, 2004.
doi:10.1103/PhysRevB.70.113102 Google Scholar

15. Smith, D. R., D. Schurig, and J. J. Mock, "Characterization of a planar artificial magnetic metamaterial surface," Physical Review E, Vol. 74, 036604, 2006.
doi:10.1103/PhysRevE.74.036604 Google Scholar

16. Damascos, N. J., R. B. Mack, A. L. Maffett, W. Parmon, and P. L. E. Uslenghi, "The inverse problem for biaxial materials," IEEE Trans. Microwave Theory and Tech., Vol. 32, No. 4, 400-405, 1984.
doi:10.1109/TMTT.1984.1132689 Google Scholar

17. Chen, H., J. Zhang, Y. Bai, Y. Luo, L. Ran, Q. Jiang, and J. A. Kong, "Experimental retrieval of the effective parameters of metamaterials based on a waveguide method," Optics Express, Vol. 14, No. 26, 12944-12949, 2006.
doi:10.1364/OE.14.012944 Google Scholar

18. Baker-Jarvis, J., E. J. Vanzura, and W. A. Kissick, "Improved technique for determining complex permittivity with the transmission/reflection method," IEEE Trans. Microwave Theory Tech., Vol. 38, No. 8, 1096-1103, 1990.
doi:10.1109/22.57336 Google Scholar

19. Queffelec, P., P. Gelin, J. Gieraltowski, and J. Loaec, "A microstrip device for the broad band simultaneous measurement of complex permeability and permittivity," IEEE Transactions on Magnetics, Vol. 30, No. 2, 224-231, 1994.
doi:10.1109/20.312262 Google Scholar

20. Heping, Y., K. Virga, and J. Prince, "Dielectric constant and loss tangent measurement using a stripline fixture," IEEE Trans. on Advanced Packaging, Vol. 21, 441-446, 1999. Google Scholar

21. Hinojosa, J., L. Faucon, P. Queffelec, and F. Huret, "S-parameter broadband measurements of microstrip lines and extraction of the substrate intrinsic properties," Microwave and Optical Technology Letters, Vol. 30, No. 1, 65-69, 2001.
doi:10.1002/mop.1222 Google Scholar

22. Bekker, V., K. Seemann, and H. Leiste, "A new strip line broad-band measurement evaluation for determining the complex permeability of thin ferromagnetic films," Journal of Magnetism and Magnetic Materials, Vol. 270, No. 3, 327-332, 2004.
doi:10.1016/j.jmmm.2003.08.033 Google Scholar

23. Hinojosa, J., "Permittivity characterization from open-end microstrip line measurements," Microwave and Optical Technology Letters, Vol. 49, No. 6, 1371-1371, 2007.
doi:10.1002/mop.22410 Google Scholar

24. Wheeler, H. A., "Transmission-line properties of parallel strips separated by a dielectric sheets," IEEE Trans. Microwave Theory Tech., Vol. 13, No. 2, 172-185, 1965.
doi:10.1109/TMTT.1965.1125962 Google Scholar

25. Pucel, R. A. and D. J. Masse, "Microstrip propagation on magnetic substrates," IEEE Trans. Microwave Theory Tech., Vol. 20, 304-313, 1972.
doi:10.1109/TMTT.1972.1127749 Google Scholar

26. Dennis, J. E. and R. B. Schnabel, "Numerical methods for unconstrained optimization and nonlinear equations,", New Jersey, Prentice-Hall, USA, 1983. Google Scholar

Dr. Leila Yousefi

Dr. Hussein Attia

Dr. Omar M. Ramahi