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A compact ultra-wideband (UWB) bandpass filter (BPF) with a notch band based on a slow-wave half-mode substrate-integrated waveguide (SW-HMSIW) is proposed. The proposed SW-HMSIW is believed to be the first ever reported. Similar to the slow-wave substrate-integrated waveguide (SW-SIW), SW-HMSIWs can achieve highpass characteristics, while the lateral width is reduced by about 50%. To obtain the UWB response, three spiral compact microstrip resonant cells are etched on the SW-HMSIW as a lowpass filter. Moreover, a shortcircuited quarter wavelength L-type resonator is used to achieve a notch band. To validate the design theory, a compact UWB BPF is designed and fabricated. The simulated results are compared with the measured results, and good agreement is reported.Introduction: Substrate-integrated waveguide (SIW) techniques have attracted much attention because of their well-known advantages of high-Q factor, compact size and high power capacity for applications in modern communication systems, such as ultra-wideband (UWB) systems [1][2][3]. To reduce the size of SIW devices, the half-mode SIW (HMSIW) was introduced to design an UWB bandpass filter (BPF) [4], which can maintain a similar performance to the SIW, while the size is reduced by half. Meanwhile, the slow-wave SIW (SW-SIW) was proposed in [5], which can lead to a reduction of 40% of the lateral dimensions compared with a classical SIW.

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