.: E-Polarized Wave Scattering from from Infinitely Thin and Finitely Width Strip Systems

Dirichlet Boundary Problem and Integral Representation of Scattered Field

• In formulations derived till now no Dirichlet Boundary Condition was applied. This is only valid for when equations are equal to null:

• Naturally in physical meaning this condition means that there is no obstacle for scatter. If there is no obstacle, no scattering occures. This is valid for generalized Sobolev's theorems for open space where ;

satisfies Homogeneous Helmholtz Equation and Sommerfeld Radiation Condition.

• By the reason of that in dirichlet boundary problem, scattering field is exposed as;

• Scattered field cannot be zero;

due to necessity of obstacle. Because it means no scattering. If we use Dirichlet Boundary condition to rearrange the right side of formula;

• As unknown function of J D (p) can be written as;

• By substituting it to the right place in formula;

• But it has to known that J D (p) must be continious function.