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The Quarterly Journal of Mechanics and Applied Mathematics 1957 10(1):90-100; doi:10.1093/qjmam/10.1.90
© 1957 by Oxford University Press
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THE DIFFRACTION OF A DIPOLE FIELD BY A HALF-PLANE

BETTY D. WOODS

( Department of Mathematics, Manchester University )

The problem of the diffraction of an electromagnetic dipole field by a perfectly conducting half-plane is discussed. Solutions for arbitrary orientations of the dipole are determined by extending a method due to Bromwich, which was based on the solution of a scalar problem and valid only when the axis of the dipole is parallel to the edge of the screen. Results are given for an electric dipole with its axis normal to the screen and for an electric dipole with its axis normal to the edge of the screen and lying in a plane parallel to the screen.


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