Innovative basis and weight functions for wire junctions in time domain moment method

Attachment Modes in the Method of Moments in Time-Domain

“…A generic scattering body S may contain a planar part S T to be subdivided into a mesh-grid of planar patches and a wire part S W to be subdivided into a mesh-grid of piece-wise rectilinear segments of radius a as shown in S T a Rao-Wilton-Glisson (RWG) spatial basis is defined along the two triangular patches sharing it [10,16] and for each non boundary node in S W a wire basis function is defined on the two wire segments sharing it [1,9]. The attachment comprises one or more triangular patches, sharing a vertex node, and one segment connected to that same node.…”

“…The time basis T h (t) is usually selected as a C 0 (continuous) or more regular (C 1 , continuous and differentiable) function whose value is 1 for t = 0 and zero for t = n∆t for non-zero integer values of n. The choice of these interpolation functions is far from being trivial because it deeply affects both accuracy and stability, as analyzed in [9].…”

“…The authors have presented recently an implementation of both thin wire and surface patch MoM-TD in an unified approach [9,10], also presenting new time basis function aimed at higher stability and insights on how to enhance stability via explicit filtering [10]. In such implementation the scattering body can be either a wire grid model (WGM) or a SPM and unconnected bodies modeled either via SPM or WGM can be present in the same simulation.…”

“…Secondarily, in this paper the computation of transient scattered fields is also performed, whereas previous papers only dealt with currents [9,10]. This paper is organized as follows: Section 2 will briefly summarize the MoM-TD method, with an unified notation valid for wires, patches and attachments.…”

“…This paper is organized as follows: Section 2 will briefly summarize the MoM-TD method, with an unified notation valid for wires, patches and attachments. Section 3 will describe the space base functions and test functions peculiar to the attachment, the details relevant to wires and patches being given in [9,10]. Section 4 will describe the transient radiated field theory and implementation.…”