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On linearly polarized electromagnetic waves of arbitrary form

Published online by Cambridge University Press:  24 October 2008

A. Nisbet  and
E. Wolf
A. Nisbet
Affiliation:
Department of Mathematical PhysicsUniversity of Edinburgh
E. Wolf
Affiliation:
Department of Mathematical PhysicsUniversity of Edinburgh
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Abstract

Two simple laws connecting the amplitude and phase functions of a monochromatic electromagnetic wave of arbitrary form are derived, holding in the case when one of the field vectors is linearly polarized. The first is a generalized Fermat's principle which enables determination of the phase when the amplitude is known; the second expresses the propagation of the (vector) amplitude along the curves orthogonal to the co-phasal surfaces. Some other general properties of linearly polarized fields are also discussed, and illustrative examples are given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 50 , Issue 4 , October 1954 , pp. 614 - 622
Copyright
Copyright © Cambridge Philosophical Society 1954

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References

REFERENCES

(1)Braunbek, W.Z. Naturf. 6a (1951), 12.CrossRefGoogle Scholar
(2)Braunbek, W. and Laukien, G.Optik, 9 (1952), 174.Google Scholar
(3)Copson, E. T.Commun. pure appl. Math. 4 (1951), 427.CrossRefGoogle Scholar
(4)Friedlander, F. G.Proc. Camb. phil. Soc. 43 (1947), 284.CrossRefGoogle Scholar
(5)Kline, M.Commun. pure appl. Math. 4 (1951), 225.CrossRefGoogle Scholar
(6)Luneberg, R. K.Mathematical theory of optics. (Mimeographed lecture notes, Brown University R.T., 1944). Also Propagation of electromagnetic waves. (Mimeographed lecture notes, New York University, 1947–8, p. 91.)Google Scholar
(7)Weatherburn, C. E.Differential geometry, vol. 2 (Cambridge, 1930), p. 217.Google Scholar