Scattering from Conducting Bodies of Revolution: Behavior of the Integral Equations Near Singular Points of Their Kernels.
MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB
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The basic formulation of scattering problems in terms of integral equations is examined, for the special case of perfectly conducting bodies of revolution. In particular, the singularities of the integrals which arise in this context are studied, in relation to the transition to a numerical solution by means of the method of moments. For both H-field and E-field equations, it is found that finite matrix elements can be deduced in a way that is uniquely determined by the integrals themselves. No ad hoc procedures are required to secure convergence, but one such procedure, which is commonly used, is shown to be capable of giving accurate results for those integrals which tend to diverge logarithmically. In the H-field solution, other integrals also arise, which yield finite terms not normally included in the theory, when the necessary limiting procedures are carried out. These terms can play a significant role in the case of a body whose profile contains a corner. Author.
- Theoretical Mathematics