Integral Equation Solution for the ${\rm D}^{\prime}{\rm B}^{\prime}$ Boundary Condition

In this letter, we develop a surface integral equation solution for analyzing scattering by objects with D'B' boundary conditions. The D'B' boundary conditions require that the normal derivatives of the electric and magnetic flux density field components normal to the boundary are zero. We show that the D'B' boundary conditions can be enforced to the standard electromagnetic (EM) surface integral equation formulations with a proper set of irrotational basis functions, when the integral equations are solved numerically with the method of moments (MoM).