The fundamentals of electromagnetic theory revisited

IEEE Antennas and Propagation Magazine

Volumn 50, Issue 1, 2008, Pages 19-65

  Arthur, John W ^a  

^a Inst for Infrastructure and Environment   (United Kingdom)

Author keywords

Electromagnetics; Equations; Force; Magnetic resonance; Magnetostatics; Mathematical model; Silicon

Indexed keywords

ELECTRIC CURRENTS; ELECTROMAGNETIC FIELDS; MAGNETIC RESONANCE; MAGNETISM; MAGNETOSTATICS; MATHEMATICAL MODELS; MAXWELL EQUATIONS;

ELECTROMAGNETIC THEORY; ELECTROMAGNETICS;

ELECTROMAGNETIC WAVE PROPAGATION;

EID: 44149092427     PISSN: 10459243     EISSN: None     Source Type: Journal    
DOI: 10.1109/MAP.2008.4494503     Document Type: Article

References (79)

1. E. T. Whittaker, A History of the Theories of Aether & Electricity: The Classical Theories and The Modern Theories 1900-1926 (two volumes bound as one), New York, Dover Classics, 1990.
2. J. C. Maxwell, "A Dynamical Theory of the Electromagnetic Field," Trans Roy. Soc, 155, 1865.
3. J. C. Maxwell, A Treatise on Electricity an Magnetism, Third Edition Oxford, Clarendon Press, 1891 and 1998.
4. J. C. Oersted, "Experiments on the Effect of a Current of Electricity on a Magnetic Needle," Annales de Chimie et de Physique, 14 1820, pp. 417-425
5. also in Annals of Philosophy, 16, 1820, pp. 273-277.
6. A.-M. Ampere, "Notice sur les Experiences de Mmn Oersted, ampere, Arago and Biot," Annales des Mines, V, 1820, pp. 535-558
7. reproduced in "Receuils d'Observations Electrodynamiques," Paris, Crochard, 1822, available at http://www.ampere.cnrs.fr, pp. 83-84.
8. N. Feather, Electricity and Matter: An Introductory Survey, Edinburgh, Edinburgh University Press, 1968.
9. W. Benenson, J. W., Harris, et al., Handbook of Physics, New York, Springer, 2003.
10. L. Page and N. L. Adams, "A Proposed Reformulation of the Electromagnetic Equations and Revision of Units," Journal of the Franklin Institute, 218, 5, November 1934, pp. 517-531.
11. J. A. Stratton, Electromagnetic Theory, New York, McGraw-Hill, 1941.
12. O. Heaviside, "Electrical Papers," 1, XXI - Dimensions of a Magnetic Pole, London, McMillan, 1892; reprinted New York, Chelsea, 1970.
13. D. H. Menzel, Mathematical Physics, New York, Dover, 1961.
14. J. C. G. Field, "Electromagnetism and Semantics," IEE Proc. A, 135, 8, November 1988, pp. 523-527.
15. J. B. Clark, Mathematical and Physical Tables (Revised), Edinburgh, Oliver and Boyd, 1969.
16. C. Kittel, Introduction to Solid State Physics, Second Edition, New York, John Wiley, 1954.
17. M. Born and E. Wolf, Principles of Optics, Third Edition, Oxford, Pergammon Press, 1964.
18. G. Scharf, From Electrostatics to Optics, Berlin, Springer-Verlag, 1994.
19. R. S. Elliott, Electromagnetics: History, Theory and Applications, New York, IEEE Press/Oxford University Press, 1993.
20. C. W. Oseen, "The Alternating Effect Between Two Electrical Dipoles and the Rotation of the Plane of Polarisation in Crystals and Liquids," Ann. Der Physik, 48, 1915, pp. 1-56.
21. P. P. Ewald, "The Analysis of Crystal Optics," Ann. Der Physik, 49, 1916, pp. 1-38.
22. L. Lorenz, "Über die Refractionsconstante" Ann. Phys. Und Chem. 11, 1881, pp. 70-103.
23. H. A. Lorentz, "Über die Beziehungzwischen der Fortpflanzungsgeschwindigkeit des Lichtes der Körperdichte," Ann. Phys. Und Chem., 9, 1880, pp. 641-665.
24. J. D. Jackson, Classical Electrodynamics, New York, John Wiley, 1962.
25. J. Hendry, James Clerk Maxwell and the Theory of the Electromagnetic Field, Bristol, Adam Hilger Ltd., 1986.
26. E. U. Condon, "Basic Electromagnetic Phenomena," in E. U. Condon and H. Odishaw (eds.), Handbook of Physics, New York, McGraw-Hill, 1967.
27. C. Kittel, Introduction to Solid State Physics, Third Edition, New York, John Wiley, 1966.
28. C. P. Slichter, Principles of Nuclear Magnetic Resonance, New York, Harper & Row, 1963, p. 10.
29. R. M. Eisberg, Fundamentals of Modern Physics, New York, John Wiley, 1961, p. 330.
30. J. M. Ziman, Principles of the Theory of Solids, Cambridge, 1969, p. 211.
31. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Oxford, Pergamon Press, (fourth revised English edition), 1975, p. 48.
32. J. Thewlis (ed.), Encyclopaedic Dictionary of Physics, 4, Oxford, Pergamon Press, 1961, p. 352.
33. N. E. Burris, "Maxwell's Equations," in M. Golio (ed.), The RF and Microwave Handbook, New York, CRC Press, 2001.
34. J. D. Kraus, Electromagnetics, Fourth Edition, New York, McGraw-Hill, 1992, pp. 219 and 239.
35. International Electrotechnical Commission, International Electrotechnical Vocabulary, lEG 60050, http://www.electropedia.org.
36. G. Bate and M. H. Kryder, "Magnetism and Magnetic Fields," in R. C. Dorf (ed.), The Electrical Engineering Handbook, 34, Boca Raton, CRC Press, 1993, p. 813.
37. A. Kitaigorodsky, Introduction to Physics, New York, Dover Publications, 1965, pp. 272-273.
38. H. G. Jerrard and D. B. McNeill, Dictionary of Scientific Units, Chapman and Hall, 1992, p. 115.
39. L. Page and N. I. Adams, Electrodynamics, New York, Dover Publications, 1965, pp. 518 and 520.
40. R. Becker, "Electromagnetic Fields and Interactions," in F. Sauter (ed.), Electromagnetic Theory and Relativity, Volume 1, London, Blackie, 1964.
41. R. E. Collin, Foundations of Microwave Engineering, Second Edition New York, McGraw-Hill.
42. A. J. W. Sommerfeld, Lectures in Theoretical Physics Volume 3: Electrodynamics, New York, Acadlemic Press, 1952, p. 238.
43. J. F. Nye, Physical Properties of Crystals, Oxford, Clarendon Press, 1972.
44. W. F. Brown, "Tutorial Paper on Dimensions and Units," IEEE Transactions on Magnetics, MAG2O, 1, 1984, pp. 112-117.
45. Molière (J. B. Poquelin), Le Bourgeois Gentilhomme, 1670.
46. E. L. Hill, "Theory of Relativity," in E. U. Condon and H. Odishaw (eds.), Handbook of Physics, New York, McGraw-Hill, 1967, Part 2, Chapter 6, p. 2.46.
47. D. Corson and P. Lorrain, Introduction to Electromagnetic Fields and Waves, San Francisco, W. H. Freeman, 1962.
48. L. Page and N. I. Adams, "Action and Reaction Between Moving Charges," Am. J. Phys, 13, 1945, pp. 141-147.
49. A. Shadowitz, The Electromagnetic Field, New York, McGraw-Hill, 1975.
50. H. A. Lorentz, "Electromagnetic Phenomena in a System Moving with Any Velocity Smaller Than the Speed of Light," Proc. Acad. Science Amsterdam, V1, 1904, pp. 809-830.
51. H. A. Lorentz, The Theory of Electrons, Second Edition," New York, Dover, 1915.
52. G. H. Wannier, "The Deflection of Charged Particles in a Ferromagnetic Medium," Physical Review, 72, 4, August 1947, pp. 304-312.
53. J. Z. Buchwald, From Maxwell to Microphysics: Aspects of Electromagnetic Theory in the Last Quarter of the Nineteenth Century, Chicago, University of Chicago Press, 1985.
54. J. L. Anderson, "Principles of Relativity Physics," New York, Academic Press, 1967, p. 257.
55. E. U. Condon, "Electromagnetic Waves," in E. U. Condon and H. Odishaw (eds.), Handbook of Physics, New York, McGraw-Hill, 1967, Part 6, Chapter 1, p. 6.5.
56. J. A. Kong, "Electromagnetic Fields," in R. C. Dorf (ed.), The Electrical Engineering Handbook, 34, Boca Raton, CRC Press, 1993, p. 803.
57. J. A. Kong, Electromagnetic Wave Theory, New York, Wiley InterScience, 1990.
58. P. Penfield Jr. and H. A. Haus, Electrodynamics of Moving Media, (Research Monograph No. 40), Cambridge MA, MIT Press, 1967.
59. T. M. Helliwell, Introduction to Relativity, Boston, Allyn and Bacon, 1966.
60. A. Einstein, The Meaning of Relativity, Fifth Edition, Princeton, Princeton U niversity Press, 1956.
61. A. Einstein, "On the Electrodynamics of Moving Bodies," Annalen der Physik, 17, pp. 891-921
62. (see http://www.fourmilab.ch/etexts/einstein/specrel/www/ for an Englishtranslation).
63. H. Fizeau, "On Hypotheses of the Lumeniferous Ether and a Result Which Appears to Demonstrate that the Movement of a Body Changes the Speed of Light Propagating Therein," Comptes Rendus, 33, 1851, pp. 349-35 5.
64. J. W. Arthur, "The Equivalence of Electromagnetic Field Solutions Based on Poles and Currents," to be published.
65. L. Page and N. I. Adams, Electrodynamics, New York, Dover Publications, 1965, p. 519.
66. "The International System of Units (SI), Eighth Edition," Paris, Bureau International des Poids et Mesures, 2006.
67. International Organisation for Standardization, ISO 1000:1992 SI Units and Recommendations for the Use of their Multiples and of Certain Other Units, Geneva. 1992.
68. International Organisation for Standardization, "ISO 31-5: 1992 Quantities and Units -Part 5 Electricity and Magnetism," Geneva, 1992.
69. "Standard Definitions for Selected Quantities, Units, and Related Terms, with Special Attention to the International System of Units (SI)," IEEE Standard 270-2006, New York, IEEE Press, 2006.
70. R. P. Feynman, R. B. Leighton, and M. Sands, "Field Energy and Field Momentum" in The Feynman Lectures on Physics - The Electromagnetic Field, Reading, MA, Addison Wesley, 1965, p. 27-5.
71. C. Kittel, "Interpretation of Anomalous Larmor Frequencies in Ferromagnetic Resonance Experiment," Physical Review, 71, 1947, pp. 270-271.
72. C. Kittel, "On the Theory of Ferromagnetic Resonance Absorption," Physical Review, 73 pp. 155-172, 1948.
73. R. E. Collin, Field Theory of Guided Waves, New York, McGraw Hill, 1960, 3.8, pp. 110-111.
74. J. Helsajn, Nonreciprocal Junctions and Devices, New York, John Willey, 1975.
75. D. P. Ames, "Magnetic Resonance" in E. U. Condon and H. Odishaw (eds.), Handbook of Physics, New York, McGraw-Hill, 1967, p. 8.114, eq. 9.16.
76. A. C. Ehrlich, "The Hall Effect," in R. C. Dorf (ed.), The Electrical Engineering Handbook, 34, Boca Raton, CRC Press, 1993, Chapter 49 p. 1106.
77. L. Berger and G. Bergmann, in C. L. Chien and R. Westlake (eds.), The Hall Effect and Its Applications, New York, Plenum Press, 1980, p. 55.
78. D. E. Gray (ed.), American Institute of Physics Handbook, Third Edition, New York, McGraw-Hill, 1972, pp. 5-214-5-215.
79. A. Von Hippel, "Dielectrics" in E. U. Condon and H. Odishaw (eds.), Handbook of Physics, New York, McGraw-Hill, 1967, Part 4, p. 4.104.