“…Multi-band bandpass filters (BPFs) are essential components in modern multi-service communication system. So far, many structures or approaches are developed to design multi-band BPFs such as half-mode substrate integrated waveguide with slot perturbation in [1], ring resonator in [2], ring resonator and tightly coupled input and output structures in [3], coupled lines multimode resonator in [4], multiple stubs loaded ring resonator in [5], patch resonator in [6], stub loaded stepped impedance resonator (SIR) in [7,8], multipath-embedded SIR in [9], and eight-mode resonator in [10]. However, these reported dual-band bandpass filters [1][2][3][4][5][6] and tri-band bandpass filters (TB-BPFs) [5,[7][8][9][10] have relative narrow bandwidth which cannot meet the requirement of recent high data-rate communication technology.…”