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The low-frequency scattering by a perfectly conducting strip

Published online by Cambridge University Press:  24 October 2008

D. S. Jones  and
B. Noble
D. S. Jones
Affiliation:
Department of Mathematics, University College of North Staffordshire
B. Noble
Affiliation:
Department of Mathematics, Royal College of Science and TechnologyGlasgow
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Extract

Various authors, e.g. Sommerfeld (8), Bouwkamp(i), Groschwitz and Hönl(2), Müller and Westpfahl(7), have considered approximate solutions to the problem of the diffraction of a plane wave by a narrow perfectly conducting strip. If the electric vector is polarized parallel to the strip they find that the scattering coefficient, for normal incidence, is given by, where k is the wave number, 2b the width of the strip and γ(= 0·5572…) being Euler's constant. Any attempt to discuss the convergence of such a pseudo-power series requires a knowledge of the higher order terms and naturally leads to the question of what is the proper expansion parameter.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 2 , April 1961 , pp. 364 - 366
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

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