Understanding the penetration of electromagnetic velocity fields into conductors

American Journal of Physics

Volumn 67, Issue 11, 1999, Pages 954-958

  Boyer, Timothy H ^a  

^a CITY COLLEGE OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033439525     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.19171     Document Type: Article

References (19)

1. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975), 2nd ed., p. 657, Eqs. (14.13) and (14.14).
2. Reference 1, Sec. 14.5 on pp. 668-672.
3. See, for example, D. S. Jones, The Theory of Electromagnetism (Pergamon, New York, 1964), pp. 11-12. However, see also Hans C. Ohanian, "On the approach to electro-and magneto-static equilibrium," Am. J. Phys. 51, 1020-1022.
4. See, for example, D. S. Jones, The Theory of Electromagnetism (Pergamon, New York, 1964), pp. 11-12. However, see also Hans C. Ohanian, "On the approach to electro-and magneto-static equilibrium," Am. J. Phys. 51, 1020-1022.
5. See, for example, D. J. Griffiths, Introduction to Electrodynamics (Prentice-Hall, Englewood Cliffs, NJ, 1981), pp. 369-370.
6. See, for example, Ref. 1, p. 697, problems #14.12 and 14.13.
7. Y. Aharonov and D. Bohm, "Significance of Electromagnetic Potentials in Quantum Theory," Phys. Rev. 115, 485-491 (1959).
8. B. Liebowitz, "Significance of the Aharonov-Bohm Effect," Nuovo Cimento 38, 932-950 (1965).
9. Erwin Kasper, "Zur Deutung der Streifenverschiebung in Elektronen-Interferometern durch einem magnetischen Fluss," Z. Phys. 196, 415-423 (1966).
10. Erwin Kasper, "On attempts to interpret the Electron Optical Phase Shift by the Bohm-Aharonov Effect on a purely classical basis," Optik (Stuttgart) 42, 367-376 (1975).
11. John S. Shier, "Fields Due to a Slow Charged Particle Moving Parallel to a Plane-Metal Surface," Am. J. Phys. 36, 245-249 (1968).
12. T. H. Boyer, "Penetration of the electric and magnetic velocity fields of a nonrelativistic point charge into a conducting plane," Phys. Rev. A 9, 68-82 (1974). I became interested in the penetration problem for velocity fields because of its connection with the Aharonov-Bohm effect and specially because of Liebowitz's work which was introduced to me by Baldwin Robertson. The existence of a steady-current limit for velocity fields suggested to me that Kasper's work must be in error.
13. W. H. Furry, "Shielding of the Magnetic Field of a Slowly Moving point Charge by a Conducting Surface," Am. J. Phys. 42, 649-667 (1974).
14. T. H. Boyer, "Penetration of electromagnetic velocity fields through a conducting wall of finite thickness," Phys. Rev. E 53, 6450-6459 (1996).
15. J. M. Aguirregabiria, A. Hernandez, and M. Rivas, "Velocity fields inside a conducting sphere near a slowly moving charge," Am. J. Phys. 62, 462-466 (1994).
16. S. Tomassone and A. Widom, "Friction forces on charges moving outside of a conductor due to Ohms law heating inside a conductor," Am. J. Phys. 65, 1181-1183 (1997).
17. D. S. Jones, "The penetration into conductors of magnetic fields from moving charges," J. Phys. A 8, 742-750 (1975).
18. Since Jones never confirmed that his results gave the known steady-current limit, which fitted so well with Furry's and with my results, I had been inclined to ignore his calculations, which involved considerable mathematical sophistication; because the low-velocity penetration results fitted with my own ideas about the Aharonov-Bohm effect, I restricted my attention to the low-velocity case and did not pursue the investigation further. However, recently, anonymous referees have criticized my calculations and pointed to Shier's skin-depth-limited results as representing the accurate point of view.
19. T. H. Boyer, "The Aharonov-Bohm Effect as a Classical Electromagnetic-Lag Effect; An Electrostatic Analogue and Possible Experimental Test," Nuovo Cimento 100B, 685-701 (1987).