The excitation of a perfectly conducting half-plane by a dipole field
- 1 July 1956
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Antennas and Propagation
- Vol. 4 (3) , 294-296
- https://doi.org/10.1109/TAP.1956.1144406
Abstract
Starting with the solution of two scalar problems in diffraction theory derived by MacDonald in 1915, it is shown that the following problem may be solved. An electric or magnetic dipole is situated in the presence of a semi-infinite, perfectly conducting, thin plane. This problem may be solved by appealing to an appropriate representation of the electromagnetic field. When the formulation is complete, we are left merely with a two-dimensional Poisson equation. The method serves to show why some orientations of the dipole are simpler to handle than others.Keywords
This publication has 3 references indexed in Scilit:
- The edge conditions and field representation theorems in the theory of electromagnetic diffractionMathematical Proceedings of the Cambridge Philosophical Society, 1955
- THE DIFFRACTION OF A DIPOLE FIELD BY A PERFECTLY CONDUCTING HALF-PLANEThe Quarterly Journal of Mechanics and Applied Mathematics, 1953
- A Class of Diffraction ProblemsProceedings of the London Mathematical Society, 1915