Perturbation of the complex natural frequencies of an object by a minor object

The authors consider an object with its mirror image, i.e. two objects symmetrical with respect to a plane. A symmetry plane implies that the electromagnetic scattering divides into two noninteracting parts, denoted symmetric and antisymmetric. The antisymmetric part also applies to the case in which this symmetry plane is replaced by a perfectly conducting plane with no mirror object present. The author presents the complex natural resonances of a straight, finite-lengths, thin wire scatterer under these conditions of symmetry. Separating terms according to those of a single object and for the interaction of two symmetrical objects, perturbation theory is applied to the integrodifferential equations which model the scattering from these two mirror objects.<>