volume | PIER Journals

Abstract

This work proposes an approach to retrieve the ferrite's electromagnetic properties in a single compact configuration, simpler than the traditional measurement systems. The ferrite under test is fully inserted into a rectangular waveguide with a magnetic bias. The complex scattering parameters are theoretically analyzed under the consideration of modal effect at isotropy-anisotropy interfaces. Extraordinarily sharp Fano resonances are observed in the scattering spectra, originating from the multimode interference inside the magnetized ferrite. There is good agreement among theoretical, experimental, and full-wave simulation results. This model can be further utilized to simultaneously retrieve all ferrite properties, including permittivity (ε), saturation magnetization (4πM_s), and magnetic linewidth (ΔH) from the measured scattering parameters, facilitating the designs and applications of ferrite devices.

1. Schloemann, E., "Advances in ferrite microwave materials and devices," J. Magn. Magn. Mater., Vol. 209, No. 1–3, 15-20, Feb. 2000.
doi:10.1016/S0304-8853(99)00635-6 Google Scholar

2. Capraro, S., J.-P. Chatelon, M. Le Berre, H. Joisten, T. Rouiller, B. Bayard, et al. "Barium ferrite thick films for microwave applications," J. Magn. Magn. Mater., Vol. 272, E1805-E1806, May 2004.
doi:10.1016/j.jmmm.2003.12.871 Google Scholar

3. Bayard, B., D. Vincent, C. R. Simovski, and G. Noyel, "Electromagnetic study of a ferrite coplanar isolator suitable for integration," IEEE Trans. Microw. Theory Tech., Vol. 51, No. 7, 1809-1814, Jul. 9, 2003.
doi:10.1109/TMTT.2003.814312 Google Scholar

4. Pardavi-Horvath, M., "Microwave applications of soft ferrites," J. Magn. Magn. Mater., Vol. 215, 171-183, Jun. 2, 2000. Google Scholar

5. Peng, B., H. Xu, H. Li, W. Zhang, Y. Wang, and W. Zhang, "Self-biased microstrip junction circulator based on barium ferrite thin films for monolithic microwave integrated circuits," IEEE Trans. Magn., Vol. 47, No. 6, 1674-1677, Feb. 17, 2011.
doi:10.1109/TMAG.2011.2116159 Google Scholar

6. Darques, M., J. De la Torre Medina, L. Piraux, L. Cagnon, and I. Huynen, "Microwave circulator based on ferromagnetic nanowires in an alumina template," Nanotechnology, Vol. 21, No. 14, 145208, Mar. 16, 2010.
doi:10.1088/0957-4484/21/14/145208 Google Scholar

7. Ustinov, A., G. Srinivasan, and B. Kalinikos, "Ferrite-ferroelectric hybrid wave phase shifters," J. Appl. Phys., Vol. 90, No. 3, 031913, Jan. 19, 2007. Google Scholar

8. Geiler, A., S. Gillette, Y. Chen, J. Wang, Z. Chen, S. Yoon, et al. "Multiferroic heterostructure fringe field tuning of meander line microstrip ferrite phase shifter," J. Appl. Phys., Vol. 96, No. 5, 053508, Feb. 5, 2010. Google Scholar

9. Morisako, A., T. Naka, K. Ito, A. Takizawa, M. Matsumoto, and Y.-K. Hong, "Properties of Baferrite/ AlN double layered films for perpendicular magnetic recording media," J. Magn. Magn. Mater., Vol. 242, 304-310, Apr. 2002.
doi:10.1016/S0304-8853(01)01230-6 Google Scholar

10. Cohn, S. and K. Kelly, "Microwave measurement of high-dielectric-constant materials," IEEE Trans. Microw. Theory Tech., Vol. 14, No. 9, 406-410, Sep. 1966.
doi:10.1109/TMTT.1966.1126288 Google Scholar

11. Zieba, A. and S. Foner, "Detection coil, sensitivity function, and sample geometry effects for vibrating sample magnetometers," Rev. Sci. Instrum., Vol. 53, No. 9, 1344-1354, Apr. 23, 1982.
doi:10.1063/1.1137182 Google Scholar

12. Krupka, J. and R. G. Geyer, "Complex permeability of demagnetized microwave ferrites near and above gyromagnetic resonance," IEEE Trans. Magn., Vol. 32, No. 3, 1924-1933, May 1996.
doi:10.1109/20.492888 Google Scholar

13. Green, J. J. and F. Sandy, "A catalog of low power loss parameters and high power thresholds for partially magnetized ferrites," IEEE Trans. Microw. Theory Tech., Vol. 22, No. 6, 645-651, Jun. 1974.
doi:10.1109/TMTT.1974.1128307 Google Scholar

14. Korolev, K. A., L. Subramanian, and M. N. Afsar, "Complex permittivity and permeability of strontium ferrites at millimeter waves," J. Appl. Phys., Vol. 99, No. 8, 08F504, Apr. 21, 2006.
doi:10.1063/1.2172233 Google Scholar

15. Kocharyan, K. N., M. Afsar, and I. I. Tkachov, "Millimeter-wave magnetooptics: New method for characterization of ferrites in the millimeter-wave range," IEEE Trans. Microw. Theory Tech., Vol. 47, No. 12, 2636-2643, Dec. 1999.
doi:10.1109/22.809018 Google Scholar

16. Ghodgaonkar, D., V. Varadan, and V. Varadan, "Free-space measurement of complex permittivity and complex permeability of magnetic materials at microwave frequencies," IEEE Trans. Instrum. Meas., Vol. 39, No. 2, 387-394, Apr. 1990.
doi:10.1109/19.52520 Google Scholar

17. Korolev, K. A., S. Chen, and M. N. Afsar, "Complex magnetic permeability and dielectric permittivity of ferrites in millimeter waves," IEEE Trans. Magn., Vol. 44, No. 4, 435-437, Apr. 2008.
doi:10.1109/TMAG.2008.916033 Google Scholar

18. Catala-Civera, J. M., A. J. Canos, F. L. Penaranda-Foix, and E. de los Reyes Davo, "Accurate determination of the complex permittivity of materials with transmission reflection measurements in partially filled rectangular waveguides," IEEE Trans. Microw. Theory Tech., Vol. 51, No. 1, 16-24, Jan. 2003.
doi:10.1109/TMTT.2002.806940 Google Scholar

19. Al-Moayed, N. N., M. N. Afsar, U. A. Khan, S. McCooey, and M. Obol, "Nano ferrites microwave complex permeability and permittivity measurements by T/R technique in waveguide," IEEE Trans. Magn., Vol. 44, No. 7, 1768-1772, Jun. 17, 2008.
doi:10.1109/TMAG.2008.920846 Google Scholar

20. Queffelec, P., M. Le Floc’h, and P. Gelin, "Nonreciprocal cell for the broadband measurement of tensorial permeability of magnetized ferrites: Direct problem," IEEE Trans. Microw. Theory Tech., Vol. 47, No. 4, 390-397, Apr. 1999.
doi:10.1109/22.754870 Google Scholar

21. Queffelec, P., M. Le Floc’h, and P. Gelin, "New method for determining the permeability tensor of magnetized ferrites in a wide frequency range," IEEE Trans. Microw. Theory Tech., Vol. 48, No. 8, 1344-1351, Aug. 2000.
doi:10.1109/22.859479 Google Scholar

22. O’brien, K. C., "Microwave properties of slabs of uniformly magnetized material filling the cross section of a rectangular waveguide operating in TENO modes," IEEE Trans. Microw. Theory Tech., Vol. 18, No. 7, 377-382, Jul. 1970.
doi:10.1109/TMTT.1970.1127246 Google Scholar

23. Okubo, K. and M. Tsutsumi, "Waveguide band rejection filter using yttrium iron garnet films," Electron. Commun. Jpn., Part 2: Electron., Vol. 74, No. 5, 40-48, 1991.
doi:10.1002/ecjb.4420740505 Google Scholar

24. Tsutsumi, M., H. Shimasaki, and T. Hattori, "Waveguide filters using yttrium iron garnet film," 1992 Asian Pacific Microwave Conference Proceedings, 183-186, 1992.
doi:10.1109/APMC.1992.672000 Google Scholar

25. Ueda, T. and M. Tsutsumi, "Left-handed transmission characteristics of rectangular waveguides periodically loaded with ferrite," IEEE Trans. Magn., Vol. 41, No. 10, 3532-3537, Oct. 2005.
doi:10.1109/TMAG.2005.854463 Google Scholar

26. Pozar, D. M., Microwave Engineering, John Wiley & Sons, 2009.

27. Yao, H.-Y. and T.-H. Chang, "Effect of high-order modes on tunneling characteristics," Progress In Electromagnetics Research, Vol. 101, 291-306, 2010.
doi:10.2528/PIER09121603 Google Scholar

28. Yao, H.-Y., J.-Y. Jiang, Y.-S. Cheng, Z.-Y. Chen, T.-H. Her, and T.-H. Chang, "Modal analysis and efficient coupling of TE01 mode in small-core THz Bragg fibers," Opt. Express, Vol. 23, No. 21, 27266-27281, Oct. 2015.
doi:10.1364/OE.23.027266 Google Scholar

29. Weltner, W., Magnetic Atoms and Molecules, Courier Corporation, 1989.

30. Fuller, A. B., Ferrites at Microwave Frequencies, IET, 1987.
doi:10.1049/PBEW023E

31. Karagodsky, V. and C. J. Chang-Hasnain, "Physics of near-wavelength high contrast gratings," Opt. Express, Vol. 20, No. 10, 10888-10895, 2012.
doi:10.1364/OE.20.010888 Google Scholar

32. Karagodsky, V., F. G. Sedgwick, and C. J. Chang-Hasnain, "Theoretical analysis of subwavelength high contrast grating reflectors," Opt. Express, Vol. 18, No. 16, 16973-16988, 2010.
doi:10.1364/OE.18.016973 Google Scholar

33. Karagodsky, V., C. Chase, and C. J. Chang-Hasnain, "Matrix Fabry-Perot resonance mechanism in high-contrast gratings," Opt. Lett., Vol. 36, No. 9, 1704-1706, 2011.
doi:10.1364/OL.36.001704 Google Scholar

Dr. Hsin-Yu Yao

Dr. Wei-Chen Chang

Dr. Li-Wen Chang

Prof. Tsun-Hun Chang