A Dual-Source SIE-PDE Formulation Without Boundary Condition Requirement for Electromagnetic Analysis

A dual-source hybrid surface integral equation partial differential equation (SIE-PDE) formulation is proposed to solve electromagnetic problems. The entire computational domain is first decomposed into the SIE and PDE domains. Based on the Love's equivalence principle, an equivalent model of the SIE domain is constructed by introducing both surface equivalent electric and magnetic current densities on the boundaries, which are then enforced as equivalent sources into the second-order differential Helmholtz equations. In the proposed formulation, it does not require additional boundary conditions as the traditional hybrid method. Results validate its accuracy and efficiency.