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Phase-retardation effects at radio frequencies in flat-plate conductors

Published online by Cambridge University Press:  17 February 2009

D. P. Bulte ,
L. K. Forbes  and
S. Crozier
D. P. Bulte
Affiliation:
The Brain-Body Institute, St. Joseph's Healthcare, Hamilton L8N 4A6, Canada; e-mail: Daniel.Bulte@utoronto.ca.
L. K. Forbes
Affiliation:
School of Mathematics and Physics, University of Tasmania, TAS 7001, Australia; e-mail: Larry.Forbes@utas.edu.au.
S. Crozier
Affiliation:
School of Information Technology and Electrical Engineering, University of Queensland, Qld 4072, Australia; e-mail: stuart@itee.uq.edu.au.
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Abstract

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A system of new integral equations is presented. They are derived from Maxwell's equations and describe radio-frequency (RF) current densities on a two-dimensional flat plate. The equations are generalisations of Pocklington's integral equation showing phase-retardation in two dimensions. These singular equations are solved, numerically, for the case of one-dimensional geometry. The solutions are shown to display effects which correspond to damped resonance when the wavelength of the current matches aspects of the geometry of the conductor.

Type
Research Article
Information
The ANZIAM Journal , Volume 45 , Issue 4 , April 2004 , pp. 495 - 510
Copyright
Copyright © Australian Mathematical Society 2004

References

[1]Abramowitz, M. and Stegun, I. A., Handbook of functions with formulas, graphs and mathematical tables (Dover, New York, 1972).Google Scholar
[2]Balanis, C., Advanced engineering eletromagnetics (John Wiley & Sons, New York, 1989).Google Scholar
[3]Callaghan, P., Principles of nuclear magnetic resonance microscopy (Oxford Scientific Publications, Oxford, 1993).Google Scholar
[4]Cheng, D., Fundamentals of engineering electromagnetics (Addison-Wesley World Student Series, San Francisco, 1992).Google Scholar
[5]Forbes, L. K., Crozier, S. and Doddrell, D. M., “Determining current distributions for RF resonators in magnetic resonance imaging”, Meas. Sci. Technol. 6 (1995) 284–292.CrossRefGoogle Scholar
[6]Forbes, L. K., Crozier, S. and Doddrell, D. M., “An analysis and optimization of elliptical RF probes used in magnetic resonance imaging”, Meas. Sci. Technol. 7 (1996) 1281–1290.CrossRefGoogle Scholar
[7]Forbes, L. K., Crozier, S. and Doddrell, D. M., “Calculating current densities and fields produced by shielded magnetic resonance imaging probes”, SIAM J. Appl. Math. 57 (1997) 401–425.Google Scholar
[8]Forbes, L. K., Crozier, S. and Doddrell, D. M., “Calculating current densities and fields due to shielded bi-planar radio-frequency coils”, Meas. Sci. Technol. 9 (1998) 1609–1619.CrossRefGoogle Scholar
[9]Gladden, L. F., “Nuclear magnetic resonance in chemical engineering: principles and applications”, Chem. Eng. Sci. 49 (1994) 3339–3408.CrossRefGoogle Scholar
[10]Jin, J., Electromagnetic analysis and design in magnetic resonance imaging (CRC Press, Boca Raton, 1999).Google Scholar
[11]Kreyszig, E., Advanced engineering mathematics, 6th ed. (John Wiley & Sons, New York, 1988).Google Scholar
[12]Mahoney, C., Forbes, L. K., Crozier, S. and Doddrell, D. M., “A novel approach to the calculation of RF magnetic and electric fields for NMR coils of arbitrary geometry”, J. Magn. Reson. Ser B 107 (1995) 145–151.CrossRefGoogle Scholar
[13]Ramo, S., Whinnery, J. R. and Van Duzer, T., Fields and waves in communication electronics (John Wiley & Sons, New York, 1965).Google Scholar
[14]Roberts, D., Insko, E., Bolinger, L. and Leigh, J. Jr., “Biplanar radio frequency coil design”, J. Magn. Reson. Ser. A 102 (1993) 34–41.CrossRefGoogle Scholar
[15]Tuck, E. O., “Some accurate solutions of the lifting surface integral equation”, J. Austral. Math. Soc. Ser. B 35 (1993) 127–144.CrossRefGoogle Scholar