Asymptotic solution of EM field wave scattering problem by small bodies: Single body case

The problem of electromagnetic wave scattering by many small bodies is reduced to solving a Fredholm second-kind integral equation. This equation is solved asymptotically as the characteristic size a of the small bodies tends to zero. The numerical solution of this Fredholm equation is compared with asymptotic solution. Numerical results are presented in the case of single body. The difference between the numerical and asymptotic solutions tends to zero when a → 0.