Abstract
Parametric amplification is a method of low-noise signal amplification of that operates by mixing the signal with a high-frequency, high power pump in a single non-linear reactive component, a varactor diode. Here its application to the amplification of magneto-inductive (MI) waves is demonstrated. MI waves are slow waves that propagate in linear chains of magnetically coupled L-C resonators known as MI waveguides. Such waveguides can be formed into ring resonant structures, and used for signal detection in magnetic resonance imaging (MRI). MI waves and waveguides are first reviewed. The theory of parametric amplification in single resonant elements is then described, and extended to travelling wave structures and ring resonators. Experimental verification is presented for systems designed to operate at 63.85 MHz, the frequency for \(^1\)H MRI in a 1.5 T magnetic field.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
E. Shamonina, V.A. Kalinin, K.H. Ringhofer, L. Solymar, Magneto-inductive waveguide. Elect. Lett. 38, 371–373 (2002)
M.C.K. Wiltshire, E. Shamonina, I.R. Young, L. Solymar, Dispersion characteristics of magneto-inductive waves: comparison between theory and experiment. Elect. Lett. 39, 215–217 (2003)
E. Shamonina, V.A. Kalinin, K.H. Ringhofer, L. Solymar, Magnetoinductive waves in one, two, and three dimensions. J. Appl. Phys. 92, 6252–6261 (2002)
E. Shamonina, L. Solymar, Magneto-inductive waves supported by metamaterial elements: components for a one-dimensional waveguide. J. Phys. D Appl. Phys. 37, 362–367 (2004)
R.R.A. Syms, E. Shamonina, L. Solymar, Magneto-inductive waveguide devices. IEE Proc. Microw. Antennas Propag. 153, 111–121 (2006)
R.R.A. Syms, I.R. Young, L. Solymar, Low-loss magneto-inductive waveguides. J. Phys. D Appl. Phys. 39, 3945–3951 (2006)
R.R.A. Syms, O. Sydoruk, E. Shamonina, L. Solymar, Higher order interactions in magneto-inductive waveguides. Metamaterials 1, 44–51 (2007)
S. Maslovski, P. Ikonen, I. Kolmakov, S. Tretyakov, Artificial magnetic materials based on the new magnetic particle: metasolenoid. PIER 54, 61–81 (2005)
M.C.K. Wiltshire, E. Shamonina, I.R. Young, L. Solymar, Experimental and theoretical study of magneto-inductive waves supported by one-dimensional arrays of "Swiss rolls". J. Appl. Phys. 95, 4488–4493 (2004)
A. Radkovskaya, M. Shamonin, C.J. Stevens, G. Faulkner, D.J. Edwards, E. Shamonina, L. Solymar, An experimental study of the properties of magnetoinductive waves in the presence of retardation. J. Magn. Magn. Mater. 300, 29–32 (2006)
I.V. Shadrivov, A.N. Reznik, Y.S. Kivshar, Magnetoinductive waves in arrays of split-ring resonators. Physica B 394, 180–183 (2007)
H. Liu, Y.M. Liu, S.M. Wang, S.N. Zhu, X. Zhang, Coupled magnetic plasmons in metamaterials. Phys. Status Solidi B 246, 1397–1406 (2009)
M. Decker, S. Burger, S. Linden, M. Wegener, Magnetization waves in split-ring resonator arrays: evidence for retardation effects. Phys. Rev. B 80, 193102 (2009)
G. Dolling, M. Wegener, A. Schädle, S. Burger, S. Linden, Observation of magnetization waves in negative-index photonic metamaterials. Appl. Phys. Lett. 89, 231118 (2006)
A. Kurs, A. Karalis, R. Moffatt, J.D. Joannopoulos, P. Fisher, M. Soljacik, Wireless power transfer via strongly coupled magnetic resonances. Science 317, 83–86 (2007)
A.P. Sample, D.A. Meyer, J.R. Smith, Analysis, experimental results, and range adaptation of magnetically coupled resonators for wireless power transfer. IEEE Trans. Industr. Electron. 58, 544–554 (2011)
W.X. Zhong, C.K. Lee, S.Y.R. Hui, Wireless power domino-resonator systems with non-coaxial axes and circular structures. IEEE Trans. Power Electron. 27, 4750–4762 (2012)
Z. Sun, I.F. Akyildiz, Magnetic induction communications for wireless underground sensor networks. IEEE Trans. Antennas Propag. 58, 2426–2435 (2010)
C.J. Stevens, C.W.T. Chan, K. Stamatis, D.J. Edwards, Magnetic metamaterials as 1-D data transfer channels: an application for magneto-inductive waves. IEEE Trans. Microw. Theory Tech. 58, 1248–1256 (2010)
T. Floume, Magneto-inductive conductivity sensors. Metamaterials 5, 206–217 (2011)
M.C.K. Wiltshire, J.B. Pendry, I.R. Young, D.J. Larkman, D.J. Gilderdale, J.V. Hajnal, Microstructured magnetic materials for RF flux guides. Science 291, 849–851 (2001)
M.C.K. Wiltshire, J.V. Hajnal, J.B. Pendry, D.J. Edwards, C.J. Stevens, Metamaterial endoscope for magnetic field transfer: near field imaging with magnetic wires. Opt. Express 11, 709–714 (2003)
M.J. Freire, R. Marques, Planar magnetoinductive lens for three-dimensional subwavelength imaging. Appl. Phys. Lett. 86, 182505 (2005)
M.J. Freire, R. Marques, L. Jelinek, Experimental demonstration of a \(\mu = -1\) metamaterial lens for magnetic resonance imaging. Appl. Phys. Lett. 93, 231108 (2008)
L. Solymar, O. Zhuromskyy, O. Sydoruk, E. Shamonina, I.R. Young, R.R.A. Syms, Rotational resonance of magnetoinductive waves: basic concept and application to nuclear magnetic resonance. J. Appl. Phys. 99, 123908 (2006)
R.R.A. Syms, T. Floume, I.R. Young, L. Solymar, M. Rea, Flexible magnetoinductive ring MRI detector: design for invariant nearest neighbour coupling. Metamaterials 4, 1–14 (2010)
R.R.A. Syms, L. Solymar, I.R. Young, Periodic analysis of MR-safe transmission lines. IEEE J. Sel. Top. Quantum Electron. 16, 433–440 (2010)
R.R.A. Syms, I.R. Young, M.M. Ahmad, M. Rea, Magnetic resonance imaging with linear magneto-inductive waveguides. J. Appl. Phys. 112, 114911 (2012)
R.R.A. Syms, I.R. Young, L. Solymar, T. Floume, Thin-film magneto-inductive cables. J. Phys. D Appl. Phys. 43, 055102 (2010)
R.R.A. Syms, L. Solymar, Bends in magneto-inductive waveguides. Metamaterials 4, 161–169 (2010)
R.R.A. Syms, L. Solymar, I.R. Young, Broad-band coupling transducers for magneto-inductive cable. J. Phys. D Appl. Phys. 43, 285003 (2010)
O. Sydoruk, Resistive power divider for magneto-inductive waveguides. Elect. Lett. 47, 549–550 (2011)
R.R.A. Syms, L. Solymar, Magneto-inductive phase shifters and interferometers. Metamaterials 5, 155–161 (2011)
Y. Yuan, B.-I. Popa, S.A. Cummer, Zero loss magnetic metamaterials using powered active unit cells. Opt. Express 17, 16135–16143 (2009)
K.Z. Rajab, Y. Hao, D. Bao, C.G. Parini, J. Vazquez, M. Philippakis, Stability of active magnetoinductive metamaterials. J. Appl. Phys. 108, 054904 (2010)
W.W. Mumford, Some notes on the history of parametric transducers. Proc. IRE 48, 848–853 (1960)
L.A. Blackwell, K.L. Kotzebue, Semiconductor-Diode Parametric Amplifiers (Prentice Hall, Englewood Cliffs, 1961)
D.P. Howson, R.B. Smith, Parametric Amplifiers (McGraw-Hill, New York, 1970)
G.A. Klotzbaugh, Phase considerations in degenerate parametric amplifier circuits. Proc. IRE 57, 1782–1783 (1959)
G.L. Matthaei, Experimental verification of the phase relationships in parametric amplifiers. IEEE Trans. Microw. Theory Tech. MTT–12, 365–367 (1964)
H. Heffner, G. Wade, Gain, bandwidth and noise characteristics of a variable parameter amplifier. J. Appl. Phys. 29, 1332–1331 (1958)
C.S. Aitchison, R. Davies, P.J. Gibson, A simple diode parametric amplifier design for use at S, C and X band. IEEE Trans. Microw. Theory Tech. MTT–15, 22–31 (1967)
Y. Kinoshita, M. Maeda, An 18 GHz single-tuned parametric amplifier with large gain bandwidth product. IEEE Trans. Microw. Theory Tech. 18, 409–410 (1970)
S. Takahashi, M. Nojima, T. Fukuda, A. Yamada, K-band, cryogenically cooled, wideband nondegenerate parametric amplifier. IEEE Trans. Microw. Theory Tech. 18, 1176–1178 (1970)
J.R. Pierce, Traveling-wave tubes. Proc. IRE 35, 108–111 (1947)
D. Schiffler, J.A. Nation, G.S. Kerslick, A high-power, traveling wave tube amplifier. IEEE Trans. Plasma Sci. 18, 546–552 (1990)
J.T. De Jager, Parametric amplifiers for radio astronomy. Solid State Electron. 4, 266–270 (1962)
M.P. Hughes, E. Moley, D.R. Parenti, J.J. Whelehan, A 5 Gc/s parametric receiver for radio astronomy. IEEE Trans. Antennas Propag. 13, 432–436 (1965)
P.K. Tien, Parametric amplification and frequency mixing in propagating circuits. J. Appl. Phys. 29, 1347–1357 (1958)
P.P. Lombardo, E.W. Sard, Low-frequency prototype traveling-wave reactance amplifier. Proc. IRE 47, 995–996 (1959)
R.C. Honey, F.M.T. Jones, A wide-band UHF traveling-wave variable reactance amplifier. IRE Trans. Microw. Theory Tech. MTT–8, 351–361 (1960)
M. Lapine, M. Gorkunov, Three-wave coupling of microwaves in metamaterials with nonlinear resonant conductive elements. Phys. Rev. E 70, 66601 (2004)
A.B. Kozyrev, H. Hongjoon Kim, D.W. van der Weide, Parametric amplification in left-handed transmission line media. Appl. Phys. Lett. 88, 264101 (2006)
O. Sydoruk, E. Shamonina, L. Solymar, Parametric amplification in coupled magnetoinductive waveguides. J. Phys. D: Appl. Phys. 40, 6879–6887 (2007)
R.R.A. Syms, I.R. Young, L. Solymar, Three-frequency parametric amplification in magneto-inductive ring resonators. Metamaterials 2, 122–134 (2008)
T. Floume, R.R.A Syms, L. Solymar, M.R. Young, A practical parametric magneto-inductive ring detector, in Proceedings of the 3rd International Congress on Advanced Electromagnetic Materials in Microwaves and Optics, London, UK, 30 Aug–4 Sept 2009, pp 132–134
R.R.A. Syms, T. Floume, I.R. Young, L. Solymar, M. Rea, Parametric amplification of magnetic resonance images. IEEE Sens. J. 12, 1836–1845 (2012)
C.E. Hayes, W.A. Edelstein, J.F. Schenck, O.M. Mueller, M.J. Eash, An efficient, highly homogeneous radiofrequency coil for whole-body nmr imaging at 1.5T. Magn. Reson. 63, 622–628 (1985)
J. Tropp, The theory of the bird cage resonator. J. Magn. Reson. 82, 51–62 (1989)
M.C. Leifer, Resonant modes of the birdcage coil. J. Magn. Reson. 124, 51–60 (1997)
Acknowledgments
The Authors are grateful to Dr. Marc Rea for carrying out the MR imaging and Prof. Wady Gedroyc for scanner access, and acknowledge many useful discussions with Dr. Katya Shamonina, Dr. Oleksiy Sydoruk and Dr. Mike Wiltshire.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Syms, R.R.A., Floume, T., Solymar, L., Young, I.R. (2015). Parametric Amplification of Magneto-Inductive Waves. In: Shadrivov, I., Lapine, M., Kivshar, Y. (eds) Nonlinear, Tunable and Active Metamaterials. Springer Series in Materials Science, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-319-08386-5_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-08386-5_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08385-8
Online ISBN: 978-3-319-08386-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)