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Diffraction by a wide slit and complementary strip. II

Published online by Cambridge University Press:  24 October 2008

R. F. Millar
Affiliation:
Radio and Electrical Engineering DivisionNational Research CouncilOttawa

Abstract

The notions developed in Part I in connexion with the diffraction of an E-polar-ized wave are here applied to the case of H-polarization. Induced current densities, aperture and far fields, and the transmission coefficient are again found in the form of infinite series in inverse powers of the slit-width to wavelength ratio. By means of Babinet's principle, the solution for diffraction by a strip is obtained.

A detailed comparison is made with values of the transmission coefficients for both polarizations found previously and by the present method. It appears that this theory provides accurate information when the slit-width is greater than about a wavelength.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1958

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References

REFERENCES

(1)Baker, B. B. and Copson, E. T.The mathematical theory of Huygens' principle. (Oxford, 1950.)Google Scholar
(2)Bouwkamp, C. J.Diffraction theory, a critique of some recent developments. New York University Mathematics Research Group, Research Report no. EM–50 (1953).Google Scholar
(3)Bouwkamp, C. J.Diffraction theory. Rep. Progr. Phys. 17 (1954), 35100.CrossRefGoogle Scholar
(4)Clemmow, P. C.Trans. Inst. Radio Engrs, AP–4 (1956), 282–7.Google Scholar
(5)Karp, S. N. and Russek, A.Diffraction by a wide slit. New York University, Institute of Mathematical Sciences, Research Report no. EM–75 (1955).Google Scholar
(6)Karp, S. N. and Russek, A.J. Appl. Phys. 27 (1956), 886–94.Google Scholar
(7)Levine, H.Diffraction by an infinite slit. Applied Mathematics and Statistics Labora-tory, Stanford University, Stanford, California. Technical Report no. 61 (1957).Google Scholar
(8)Millar, R. F.Dissertation (Cambridge, 1957).Google Scholar
(9)Morse, P. M. and Rubenstein, P. J.Phys. Rev. 54 (1938), 895–8.CrossRefGoogle Scholar
(10)Moullin, E. B. and Phlllips, F. M.Proc. Instn Elect. Engrs, Pt IV, 99 (1952), 137–50.Google Scholar
(11)Skavlem, S.Arch. Math. Naturv. 51 (1951), 6180.Google Scholar