Loop-Star Functions Including Multibranch Rao-Wilton-Glisson Basis Functions

A quasi-Helmholtz decomposition with loop-star basis functions including multibranch Rao-Wilton-Glisson (MB-RWG) basis functions is proposed for electromagnetic scattering problems on an object with multiple surfaces. The loop and star basis functions in the interior region of each surface are generated with RWG functions, and those loop functions and star functions at the bordering lines between different surfaces are constructed with MB-RWG and RWG functions. With MB-RWG functions, the proposed loop-star scheme can be applied to two adjacent surfaces with different mesh resolutions directly. Some numerical examples are presented at low frequencies to verify the accuracy of the method.