Theoretical Design of MPhC Band-Pass Filters based on Coupling Matrix Synthesis in Quasi-Millimeter-Wave Band

Chun-Ping CHEN  Tomomasa SATO  Zejun ZHANG  Tetsuo ANADA  

C - Abstracts of IEICE TRANSACTIONS on Electronics (Japanese Edition)   Vol.J103-C   No.8   pp.356-365
Publication Date: 2020/08/01
Online ISSN: 1881-0217
Type of Manuscript: PAPER
metallic photonic crystal,  bandgap,  bandpass filter,  coupling matrix,  quasi-millimeter-wave,  

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A metallic photonic crystal (M-PhC) structure, consisting of a periodic array of via holes in a low-loss printed circuit board, has many advantages such as small size, light weight, and high Q and planar-circuit integration. Accordingly, it has great potential as a platform to design various electromagnetic wave circuits. To theoretically design an N-stage direct-coupled M-PhC-resonator filter with inductive metal posts, a step tune method is presented to simulate the filter by successively adding one resonator at a time. The physical dimensions of the added resonator are then extracted from the theoretical frequency characteristics based on the corresponding partitioned coupling matrix. It should be noted that, with the step tuning procedure, the filter can be efficiently designed without the global optimization on all structural parameters. As an example, a 5-stage bandpass filter is designed and realized. The measured characteristics of the filter compare well with the theoretical and simulated ones, which validates the presented design method.