H. Gur,
"Relativistic Electromagnetic Boundary Conditions," ,
Vol. 23, 107-136, 1999.
doi:10.2528/PIER98101601
Department of Engineering Physics, Faculty of Sciences
University of Ankara
Turkey
Homepage1. Yeh, C., "Boundary conditions in electromagnetics," Phys. Rev. E, Vol. 48, 1426-1427, 1993. Google Scholar
2. Stahl, A. and H.Wolters, "Electromagnetic boundary conditions and surface-effects from a phenomenological point of view," Z. Physik, 1Sec. 1., Vol. 255, 227-239, 972. Google Scholar
3. Michalski, K. A., "Missing boundary conditions of electromagnetics," Electron. Lett., Vol. 22, 921-922, 1986. Google Scholar
4. Idemen, M. and A. H. Serbest, "Boundary conditions of the electromagnetic field," Electron. Lett., Vol. 23, 704-705, 1987. Google Scholar
5. Jackson, J. D., Classical Electrodynamics, 2nd Ed., Sec. I.5., Wiley, New York, 1975.
6. Purcell, E. M., Electricity and Magnetism, 2nd Ed., Berkeley Physics Course, Sec. 9.3., Vol. 2, McGraw-Hill, New York, 1985.
7. Purcell, E. M., op. cit., Secs. 9.1-9.3.
8. Noerdlinger, P. D., "Boundary conditions for moving magnetic fields and Lorentz transformation of surface currents," Am J. Phys., Vol. 39, 191-192, 1971. Google Scholar
9. Ostrovskii, L. A., "Some ``moving boundaries paradoxes” in elec-trodynamics," Sov. Phys.-Usp., Vol. 18, 452-458, 1976. Google Scholar
10. Namias, V., "Discontinuity of the electromagnetic fields, potentials, and currents at fixed and moving boundaries," Am. J. Phys., Vol. 56, 898-904, 1988. Google Scholar
11. Wilhelm, H. E. and M. A. Hasan, "Transformation method for electromagnetic wave problems with moving boundary conditions," Arch. f¨ur Elektrotechnik, Vol. 72, 165-173, 1989. Google Scholar
12. Harfoush, F., A. Taflove, and G. A. Kriegsmann, "Numerical implementation of relativistic electromagnetic boundary conditions in a laboratory-frame grid ," J. Comput. Phys., Vol. 89, 80-94, 1990. Google Scholar
13. Maxwell, J. C., Treatise on Electricity and Magnetism, 3rd Ed., 2 vols., reprint by Dover, New York, 1954.
14. Einstein, A., H. A. Lorentz, H. Minkowski, and H. Weyl, The Principle of Relativity (Collected papers, with notes by A. Sommerfeld), Dover, New York, 1952.
15. Jackson, J. D., op. cit., Secs. 11.1 and 11.9. Google Scholar
16. Rindler, W., Essential Relativity, Revised 2nd Ed., Secs. 1.11-1.13 and 6.1, Springer-Verlag, New York, 1977.
17. Barut, A. O., Electrodynamics and Classical Theory of Fields and Particles, 2nd Ed., Secs. I.1, I.6, and III.2, Dover, New York, 1980.
18. Purcell, E. M., Electricity and Magnetism, Berkeley Physics Course, 2nd Ed., Vol. 2, McGraw-Hill, New York, 1985.
19. Ulam, S., "The applicability of mathematic," The Mathematical Sciences; a Collection of Essays, Edited by the National Research Council’s Committee on Support of Research in the Mathematical Sciences (COSRIMS) with collaboration of A.W. Boehm George, Sec. ``The use of new ideas", The M.I.T. Press, Cambridge, 1969. Google Scholar
20. Kittel, C., W. D. Knight, and M. A. Ruderman, Mechanics, 2nd Ed., Berkeley Physics Course, Vol. 1, Chap. 11, Sec. ``Lorentz transformations”, McGraw-Hill, New York, 1973.
21. Perez, J.-P. and N. Saint-Cricq-Chery, Relativite et Quantification, Prob. I-1, Masson, Paris, 1986.
22. Rindler, W., op. cit., Sec. 2.6.
23. Barut, A. O., op. cit., Sec. 1.1.
24. Purcell, E. M., op. cit., Sec. 5.6 and Fig. 5.12.
25. Misner, C. W., K. S. Thorne, and J. A. Wheeler, Gravitation, Chap. 41, W. H. Freeman and Co., San Francisco, 1973.
26. Purcell, E. M., op. cit., Sec. 4.1.
27. Purcell, E. M., op. cit., Sec. 6.7.
28. Jackson, J. D., op. cit., Eq. (11.22).
29. Purcell, E. M., op. cit., Sec. 1.14 and Prob. 1.19.
30. Purcell, E. M., op. cit., Sec. 6.6 and Fig. 6.21.