Graphene Nano-Resonance Sensor Based on Internal Resonance Frequency Comb

This chapter presents a cutting-edge exploration into the realm of graphene nano-resonance sensors, focusing on the exploitation of internal resonance frequency combs to enhance sensing capabilities. The study begins by examining the advancements in manufacturing technology that have enabled the transition of resonators from micro to nano scales, with a particular emphasis on the exceptional properties of graphene. The nonlinear modal interactions within these nano-resonators are scrutinized, revealing how they can lead to frequency mixing, energy transfer, and enhanced sensitivity. The chapter delves into the theoretical considerations behind the design of a graphene nano-resonator, employing a lumped parameter model to analyze the vibration characteristics and establish a high-precision dynamic equation. Through numerical simulations and theoretical derivations, the chapter elucidates the conditions necessary for inducing internal resonance and generating a frequency comb. The impact of external excitation, bias voltage, and damping on the amplitude-frequency response of the resonator is thoroughly investigated, demonstrating how these parameters can be fine-tuned to achieve optimal sensing performance. The chapter concludes with a discussion on the practical applications of the frequency comb in detecting subtle variations in parameters such as gas concentration, temperature, and pressure, paving the way for innovative sensing technologies.