Abstract
If there are no sources of an electromagnetic field present anywhere in space during a period of time, then that field is said to be a free-field during that time. The detailed properties of such free-fields were first studied in detail by Sherman, Devaney and Mandel [1], Sherman, Stamnes, Devaney and Lalor [2], and Devaney and Sherman [3] in the early 1970s. Such fields are of interest because they form the simplest type of wave phenomena encountered in both electromagnetics and optics.
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References
G. C. Sherman, A. J. Devaney, and L. Mandel, “Plane-wave expansions of the optical field,” Opt. Commun., vol. 6, pp. 115–118, 1972.
G. C. Sherman, J. J. Stamnes, A. J. Devaney, and É. Lalor, “Contribution of the inhomogeneous waves in angular-spectrum representations,” Opt. Commun., vol. 8, pp. 271–274, 1973.
A. J. Devaney and G. C. Sherman, “Plane-wave representations for scalar wave fields,” SIAM Rev., vol. 15, pp. 765–786, 1973.
A. J. Devaney, A New Theory of the Debye Representation of Classical and Quantized Electromagnetic Fields. PhD thesis, The Institute of Optics, University of Rochester, 1971.
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M. Born and E. Wolf, Principles of Optics. Cambridge: Cambridge University Press, seventh (expanded) ed., 1999.
H. Goldstein, Classical Mechanics. Reading, MA: Addison-Wesley, 1950. Chapter 4.
N. S. Koshlyakov, M. M. Smirnov, and E. B. Gliner, Differential Equations of Mathematical Physics. Amsterdam: North-Holland, 1964. Ch. VI, §3.
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(2006). Free Fields in Temporally Dispersive Media. In: Electromagnetic and Optical Pulse Propagation 1. Springer Series in Optical Sciences, vol 125. Springer, New York, NY. https://doi.org/10.1007/978-0-387-34730-1_8
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DOI: https://doi.org/10.1007/978-0-387-34730-1_8
Publisher Name: Springer, New York, NY
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