This paper is divided into two sections, in the first section, a new SIW and half-mode band-pass filters based on complementary hexagonal metamaterial cells (C-HMCs) are proposed. Firstly, analyzed case of using C-HMC four these cells. Secondly, HMSIW tunable BPF studied optimized. The size half mode reduced by almost 50%. filter design has very high insertion loss about -0.4 dB, significant tr...