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Electromagnetic field perturbation by an internal void in a conducting cylinder excited by a wire loop

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Abstract

A thin prolate spheroidal void in an infinite conducting circular cylinder is used to model an internal flaw in a wire rope. The rope is excited by an electric ring current which is a model for a thin solenoid or multi-turn wire loop. The anomalous external fields are computed from the induced electric and magnetic dipole moments of the void. For this type of excitation, the induced axial magnetic dipole moment is the dominant contributor to the scattered field. The results have application to nondestructive testing of wire ropes.

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References

  1. H.L.Libby:Introduction to Nondestructive Test Methods (Wiley Interscience, New York 1971)

    Google Scholar 

  2. E.R.Hoskins: Report to the U.S. Bureau of Mines on Contract No. H0346193, South Dakota School of Mines and Technology (July 1975)

  3. J.R.Wait: Review of electromagnetic methods in nondestructive testing of wire ropes, Preliminary Report to the U.S. Bureau of Mines on Contract No. H0155008 (March 1978)

  4. C.H.Larsen, R.A.Egen, R.D. Jones, H.A.Cross: Report to the U.S. Bureau of Mines on Contract No. H010174 (june 1971)

  5. J.G.Lang: The Canadian Mining and Metalurgical (CIM) Bulletin, 415 (1969)

  6. J.R.Wait: The electromagnetic basis for nondestructive testing of cylindrical conductors. IEEE Trans.IM-27, 235 (1978)

    Google Scholar 

  7. J.R.Wait, R.L.Gardner: Non-destructive testing of a cylindrical conductor with an internal anomaly — A two-dimensional model, Preliminary Report to the U.S. Bureau of Mines on Contract No. H0155008 (May 1978)

  8. D.A.Hill, J.R.Wait: J. Appl. Phys.48, 4893 (1977)

    Article  ADS  Google Scholar 

  9. D.A.Hill J.R.Wait: Appl. Phys.16, 391 (1978) On pg. 396, In equation (A.3) replace 147-1 by 147-2; On pg. 397, In equation (B.10) replace iλuT m by-tλuT m

    Article  ADS  Google Scholar 

  10. R.F.Harrington:Time-Harmonic Electromagnetic Fields (McGraw-Hill, New York (1961) Sect. 3.2

    Google Scholar 

  11. W.R.Smythe:Static and Dynamic Electricity (McGraw-Hill, New York (1968) Sect. 5.28

    Google Scholar 

  12. J.R.Wait, D.A. Hill: Appl. Phys.11, 351 (1976)

    Article  ADS  Google Scholar 

  13. A.G.Kandoian:Reference Data for Radio Engineers (ITT Corp., New York 1968) pp. 4–32

    Google Scholar 

  14. D.R.J.White:Electromagnetic Shielding Material and Performance (Don White Consultants, Inc., Germantown, MD 1975) Sect. 2.1

    Google Scholar 

  15. M.L.Burrows: Ph. D. Thesis, Department of Electrical Engineering, University of Michigan, Ann Arbor (1964)

  16. J.R.Wait: Electromagnetic induction in an anisotropic cylinder. Radio Sci.13 (September/October 1978)

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Hill, D.A., Wait, J.R. Electromagnetic field perturbation by an internal void in a conducting cylinder excited by a wire loop. Appl. Phys. 18, 141–147 (1979). https://doi.org/10.1007/BF00934408

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  • DOI: https://doi.org/10.1007/BF00934408

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