Open AccessRWG MoM‐via‐locally corrected Nyström method in near‐field to far‐field transformation using very‐near‐field measurement
Author(s) -
Rafiee Alavi Rezvan,
Kiaee Ali,
Mirzavand Rashid,
Mousavi Pedram
Publication year - 2018
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/iet-map.2017.0135
Subject(s) - multipole expansion , method of moments (probability theory) , discretization , electric field integral equation , mathematics , nyström method , mathematical analysis , electrical impedance , field (mathematics) , transformation (genetics) , planar , integral equation , physics , computer science , biochemistry , statistics , chemistry , computer graphics (images) , quantum mechanics , estimator , pure mathematics , gene
Locally corrected Nyström (LCN) method is used to solve electric field integral equations (EFIE) of the equivalent current method in the planar very‐near‐field measurement of antennas and RF circuits. The exact relationship between the Rao–Wilton–Glisson (RWG) method of moments and first‐order and zero‐order LCN is established for both magnetic and electric currents to ensure normal current continuity between adjacent triangular patches. The proposed method is a point‐based RWG discretisation of EFIE and causes a noticeable decrease in the degree of freedom. It consequently eliminates spurious charges and significantly lowers the condition number of the impedance matrix. Moreover, it is more efficient to be accelerated by fast algorithms such as multi‐level fast multipole method. In what follows, the detailed explanation of the proposed method, along with the examples of current reconstruction and antenna far‐field calculation, is presented.