Möbius metamaterial topology: Applications in resonators and tunable oscillator circuits

Manipulating and tailoring the electromagnetic-wave coupling properties, numerous interesting properties of topology driven Möbius Metamaterials Strip is emerging that goes beyond the conventional characteristics and structure functionality relationship. The goal of this paper is 3-folds: (i) to address the key concept of topology and topological notions in a wide class of materials with potential technological applications, (ii) discuss the possibility of application of topology driven negative refractive index composite Metamaterial Möbius strips, and (iii) validation examples (4GHz-12GHz/12GHz-18GHz voltage controlled oscillator circuits for RF/MW applications).