Skip to main content
SpringerLink
Log in

Electromagnetic response of thin disks

  • Original Papers
  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Summary

The electromagnetic response of a thin disk with finite conductivity in free space to an arbitrary sinusoidal primary magnetic field is solved through use of an orthogonal expansion in Bessel functions. The eddy currents induced in the disk and the secondary magnetic field are calculated for various locations of a dipole generating the primary field and for different values of the induction number. Numerical computation is done only in the final stages of the analysis so that little computing time is needed to obtain detailed results.

Zusammenfassung

Der elektromagnetische Effekt einer von einem beliebigen sinusförmigen magnetischen Feld angeregten dünnen Scheibe endlicher Leitfähigkeit im Vakuum wird beschrieben unter Benutzung einer orthogonalen Entwicklung in Besselsche Funktionen. In der Scheibe induzierte Wirbelströme und das sekundäre Magnetfeld werden für verschiedene Orte eines Dipols der das Primärfeld erzeugt, und für verschiedene Induktions-Koeffizienten berechnet. Numerische Berechnungen werden nur in der letzten Phase der Analyse durchgeführt, so daß nur wenig Rechenzeit benötigt wird um konkrete Ergebnisse zu erhalten.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. A. Ashour,The induction of electric currents in a uniform circular disc, Qtr. Jl. Mech. Appl. Math.,3, 119–128 (1950).

    Google Scholar 

  2. A. A. Ashour,Electromagnetic induction in finite thin sheets, Qtr. Jl. Mech. Appl. Math.18, 73–86 (1965).

    Google Scholar 

  3. A. A. Ashour,Electromagnetic induction in thin finite sheets having conductivity decreasing to zero at the edge, with geomagnetic applications, Geophys. J. R. Astr. Soc.,22, 417–443 (1971).

    Google Scholar 

  4. V. J. Dörr,Untersuchung einiger Integrale mit Bessel-Funktionen, die für die Elastizitätstheorie von Bedeutung sind, ZAMP4, 122–127 (1953).

    Google Scholar 

  5. I. S. Gradshteyn and I. M. Ryzhik,Table of integrals, series, and products, Academic Press, New York 1980.

    Google Scholar 

  6. D. G. Hurley and P. F. Siew,The decay of eddy-currents in thin sheets and related water-wave problems, IMA J. App. Math.34, 1–21 (1985).

    Google Scholar 

  7. J. D. Jackson,Classical electrodynamics, John Wiley & Sons, New York 1975.

    Google Scholar 

  8. W. R. Smythe,Static and dynamic electricity, McGraw-Hill, London 1968.

    Google Scholar 

  9. I. N. Sneddon,Special functions of Mathematical Physics and Chemistry, Oliver & Boyd (1961).

  10. G. F. West and R. N. Edwards,A simple parametric model for the electromagnetic response of an anomalous body in a host medium, Geophys.50, 2542–2557 (1985).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Curtin University of Technology, 6102, Bentley, Western Australia

    P. F. Siew

  2. Department of Mathematics, University of Western Australia, 6009, Nedlands, Western Australia

    D. G. Hurley

Authors
  1. P. F. Siew
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. G. Hurley
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Siew, P.F., Hurley, D.G. Electromagnetic response of thin disks. Z. angew. Math. Phys. 39, 619–633 (1988). https://doi.org/10.1007/BF00948726

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00948726

Keywords

Search

Navigation