Pseudosymmetric Eigenmode Expansion for the Magnetic Field Integral Equation and SEM Consequences.
TDR INC LOS ANGELES CA
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An eigenmode expansion for the magnetic field integral equation MFIE is derived which eliminates the requirement that an adjoint solution be explicitly sought. Instead, an orthogonality relation is derived which only involves the eigenmodes of the original MFIE operator. To promote confidence in the validity of the resulting expansion, two analyses based on this expansion are presented which lead to known results. First, the expansion is applied to the problem of determining the surface current density induced on a perfectly conducting sphere by a plane wave and the known solution for this problem is duplicated by the expansion. The second analysis shows that for a general perfectly conducting body, the eigenmode expansion coefficient numerator evaluated at the purely imaginary frequency corresponding to an interior resonance is zero. This result is necessary in order to relate the eigenmode expansion to SEM.
- Electricity and Magnetism