- Open Access
Measurement of the magnetic material properties for ferrite-loaded cavities
Phys. Rev. ST Accel. Beams 18, 010101 – Published 30 January, 2015
DOI: https://doi.org/10.1103/PhysRevSTAB.18.010101
Abstract
Measurements of the magnetic characteristics of the Ferroxcube 8C12m ferrite material in the parameter range where the GSI heavy-ion synchrotron SIS 18 cavity resonator is operated are presented. At first, the permeability is determined as a function of frequency and bias magnetic field strength for low radio-frequency power levels. For this purpose, both reflection and transmission measurements are carried out in a test setup with two toroids. The values for the real and imaginary part obtained from the data analysis of both approaches are fully in agreement with each other, albeit the range of application of the latter setup is limited to moderate frequencies due to parasitic resonances. An empirical analytical expression is formulated which approximates the complex permeability reasonably well in the whole investigated bias and frequency range. Moreover, the - curve is recorded for a reduced bias current range of the cavity. The gained material characteristics are well suited for numerical eigenmode simulations for the GSI SIS 18 cavity.
Article Text
References (23)
- Q. Yu, T. Holmes, and K. Naishadham, RF equivalent circuit modeling of ferrite-core inductors and characterization of core materials, IEEE Transactions on Electromagnetic Compatibility 44, 258 (2002).
- Agilent Solutions for Measuring Permittivity and Permeability with LCR Meters and Impedance Analyzers, application Note 1369-1, 2008.
- J. Shenhui and J. Quanxing, An alternative method to determine the initial permeability of ferrite core using network analyzer, IEEE Transactions on Electromagnetic Compatibility 47, 651 (2005).
- V. J. Thottuvelil, T. G. Wilson, and H. A. Owen Jr., High-frequency measurement techniques for magnetic cores, IEEE Trans. Power Electron. 5, 41 (1990).
- F. Fiorillo, Measurements of magnetic materials, Metrologia 47, S114 (2010).
- C. Vollinger, F. Caspers, and E. Jensen, The effect of 2-directional magnetic biasing used for tuning of a ferrite-loaded re-entrant cavity, IEEE Trans. Nucl. Sci. 60, 2170 (2013).
- Delta Elektronika Data sheet SM3000-series, 2012 [http://www.delta-elektronika.nl/upload/dts_sm3000.pdf].
- Rohde & Schwarz GmbH & Co. KG, ZNB Vector Network Analyzers User Manual, 2012 [http://www.rohde-schwarz.com].
- Ferroxcube, Soft Ferrites and Accessories, 2009 [http://ferroxcube.home.pl/appl/info/HB2009.htm].
- TDK Corporation, EMC Technology—Guide Book For EMC, 2011 [http://www.tdk.co.jp/emc_guide_e/].
- Rohde & Schwarz GmbH & Co. KG, ZNB Vector Network Analyzers Specifications, 2013, version 06.00 [http://www.rohde-schwarz.com].
- D. M. Pozar, Microwave Engineering, 3rd ed. (John Wiley & Sons, New Jersey, 2005).
- D. Polder, On the theory of ferromagnetic resonance, Philos. Mag. 40, 99 (1949).
- E. Schlömann, Microwave behavior of partially magnetized ferrites, J. Appl. Phys. 41, 204 (1970).
- G. T. Rado, Theory of the microwave permeability tensor and Faraday effect in nonsaturated ferromagnetic materials, Phys. Rev. 89, 529 (1953).
- J. J. Green and F. Sandy, Microwave characterization of partially magnetized ferrites, IEEE Trans. Micro. Theory Techn. 22, 641 (1974).
- M. Igarashi and Y. Naito, Parallel component of partially magnetized microwave ferrites, IEEE Trans. Micro. Theory Techn. 29, 568 (1981).
- J. P. Bouchaud and P. G. Zérah, Spontaneous Resonances and Universal Behavior in Ferrimagnets: Effective-Medium Theory, Phys. Rev. Lett. 63, 1000 (1989).
- P. Gelin, New consistent model for ferrite permeability tensor with arbitrary magnetization state, IEEE Trans. Micro. Theory Techn. 45, 1185 (1997).
- P. Gelin and P. Queffelec, Generalized permeability tensor model: Application to barium hexaferrite in a remanent state for self-biased circulators, IEEE Trans. Magn. 44, 24 (2008).
- F. G. Brockman, H. van der Heide, and M. W. Louwerse, Ferroxcube für Protonensynchrotrons, Philips Technische Rundschau (1969).
- A. Bergqvist, Magnetic vector hysteresis model with dry friction-like pinning, Physica B (Amsterdam) 233, 342 (1997).
- K. Klopfer, W. Ackermann, and T. Weiland, Computation of complex eigenmodes for resonators filled with gyrotropic materials, IEEE Trans. Magnet. (to be published), doi: 10.1109/TMAG.2014.2338275