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).