Skip to main content
Log in

Interaction of phase-shifted fields of two single-turn coils situated above a conducting medium

  • Published:
Journal of Nondestructive Evaluation Aims and scope Submit manuscript

Abstract

An analytical solution is obtained for the problem of the interaction of two phase-shifted electromagnetic fields generated by two coaxial single-turn coils carrying alternating currents of the same frequency, but of different amplitudes and nonzero phase difference, ψ. Two cases are considered: coils situated above a conducting half-space and above a two-layer medium. Numerical results show that ψ is the most important parameter. If the values of ψ and of the other parameters are chosen properly, then the curve representing the change in impedance can lie in any quadrant of the complex plane. These results can be used for developing more sensitive and more selective eddy current testing methods.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. S. Sobolev, On the theory of a method of superposed coil with eddy current testing,Izvestia Siberian Branch Acad. Sci. USSR 2(1):78–88 (1963) (Russian).

    Google Scholar 

  2. D. H. S. Cheng, The reflected impedance of a circular coil in the proximity of a semi-infinite medium,IEEE Trans. Instr. Meas. 14(3):107–116 (1965).

    Google Scholar 

  3. C. V. Dodd, W. E. Deeds, and J. W. Luquire, Integral solutions to some eddy current problems,Int. J. Nondestr. Testing 1(1):29–107 (1969).

    Google Scholar 

  4. V. G. Gerasimov and I. I. Murashov, Towards the theory of controlling laminated products using superposed detectors,Sov. J. Nondestr. Testing 5(1):37–41 (1969).

    Google Scholar 

  5. V. G. Gerasimov, Control of multilayer cylindrical products by eddy current method,Defektoskopia 3(6):1–8 (1967) (Russian).

    Google Scholar 

  6. C. V. Dodd and W. E. Deeds, Analytical solution to eddy current probe coil problems,J. Appl. Phys. 39(6):2829–2838 (1968).

    Google Scholar 

  7. J. A. Tegopoulos and E. E. Kriezis,Eddy Currents in Linear Conducting Media (Vol. 16) (Studies in Electrical and Electronic Engineering, Elsevier, Amsterdam, Oxford, New York, Tokyo, 1985).

    Google Scholar 

  8. V. G. Pustinnikov and S. D. Anisimov, Multiparameter electromagnetic testing of steel products,Zavodskaya Laboratoria 30(10):1236–1239 (1964) (Russian).

    Google Scholar 

  9. W. R. Smythe,Static and Dynamic Electricity (3rd Ed.) Revised printing (Hemisphere Publishing Corporation, New York, 1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Derun, E.N., Kolyshkin, A.A. & Vaillancourt, R. Interaction of phase-shifted fields of two single-turn coils situated above a conducting medium. J Nondestruct Eval 14, 193–200 (1995). https://doi.org/10.1007/BF00730889

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00730889

Key words

Navigation