Abstract
The Maxwell equations (1.4) for a uniform isotropic nonmagnetic medium of refractive index n can be simplified by setting
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Notes and References
The two scalar potentials were introduced by P. Debye (1909a). For more recent uses, see, for example, J. A. Stratton (1941); H. C. van de Hulst (1957); J. D. Jackson (1962).
For more detailed expositions of the method of Green’s functions in electromagnetic theory, see A. Sommerfeld (1949); Morse and Feshbach (1953), vol. 1; J. D. Jackson (1962); and, specifically, Levine and Schwinger (1951). For earlier use of Green’s-function techniques, see A. Sommerfeld (1910 and 1912), for example.
Another method, transferred from quantum mechanics, that has been found useful is called the T matrix. It can be found in P. C. Waterman (1965, 1971, 1979, and 1980); Peterson and Ström (1973 and 1974); S. Ström (1974), G. S. Agarwal (1976); N. Morita (1979); P. W. Barber (1980); R. H. T. Bates (1980); and A. Hizal (1980). The Fredholm method has also been used; see Uzunoglu et al. (1976); and A. R. Holt (1980).
For a more detailed discussion of Hibert transforms, see E. C. Titchmarsh (1937). The disperison relation (4.36) was first derived by R. Kronig (1926); H. A. Kramers (1927). Both obtained it as a limit of the dispersion due to atomic resonance- absorption lines, but Kramers connected the result to the causality argument. More recent and detailed discussions can be found in the papers by N. G. van Kampen (1953a) and J. S. Toll (1956), which also contain further references. See also J. Hilgevoord (1960) and E. Gerjuoy (1965a).
The usefulness of measuring intensity fluctuation correlations was discovered by Hanbury Brown and Twiss (1954, 1956, and 1957). It was discussed also by E. M. Purcell (1956) and by Gold berger, Lewis, and Watson (1963). This paper also treats the analogous method in quantum mechanics, which we shall not go into in this book. The principle is, of course, the same.
Further treatments of fluctuation and coherence phenomena are by Mandel and Wolf (1965) and J. M. Conway (1967) in the electromagnetic case, and for quantum mechanics Goldberger and Watson (1964c and 1965). See also E. Wolf (1972 and 1970); Kano and Wolf (1962); Dialetis and Wolf (1967); C. L. Mehta (1968); Kohler and Mandel (1970); J.-M. Lévy-Leblond (1977).
For detailed discussions of noise and radiation-fluctuation phenomena in general see Lawson and Uhlenbeck (1950); Born and Wolf (1959), chap. X.
The following papers treat orders of coherence of the quantum radiation field: R. J. Glauber (1963, 1965, and 1966a); Mandel and Wolf (1963); E. C. G. Sudarshan (1963); Titulaer and Glauber (1965 and 1966).
For a review of the utilization of polarization information for inverse scattering, see W.-M. Boerner (1979).
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© 1982 Springer Science+Business Media New York
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Newton, R.G. (1982). Miscellaneous. In: Scattering Theory of Waves and Particles. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88128-2_4
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DOI: https://doi.org/10.1007/978-3-642-88128-2_4
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