Perturbation Method in the Diffraction of Electromagnetic Waves by Arbitrarily Shaped Penetrable Obstacles

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Abstract
The perturbation technique which is based on a Taylor series expansion of the boundary conditions at the perturbed boundary is extended to consider the problem of the diffraction of waves by a dielectric object with perturbed boundary. Since this approach attacks the complete boundary‐value problem, the result is valid for the near zone as well as for the far zone and is valid for all frequencies. In a way of illustration, the problem of the diffraction of electromagnetic waves by a dielectric cylinder with perturbed boundary is treated. A specific example on the scattering of plane waves by a dielectric elliptic cylinder with small eccentricity is given. Numerical results are also computed for this specific example and are compared with those obtained from the exact solution.

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