Electromagnetic simulation and analysis for novel filter design

Abstract

With the concept of quaternion algebra, a novel and compact quaternion formulation for EM analysis is derived. This formulation is then utilized with the MoM to analyze planar passive circuits. The MoM requires the closed-form spatial Greena??s function, which can be obtained using Discrete Complex Image Method (DCIM). However, the DCIM requires the extraction of the poles of the Greena??s function and this task is extremely difficult when dealing with multilayered structures. A fast, stable and efficient multilayer polesa?? extraction technique for the fast evaluation of DCIM is thus introduced. The resultant algorithm of the MoM is used to design and analyze several novel bandpass filters. A few miniaturization techniques for bandpass filter design have been explored for the first time. These include the Photonic Bandgap (PBG) filter design, the dual mode resonator without cross coupling effect, the novel miniaturized open-loop resonator with wide frequency perturbation, the novel millimeter-wave coplanar filter design with Wafer Transfer Technology (WTT) and a modified miniaturized LTCC coplanar hairpin-combline resonator.