A Single-Input Single-Output Sensing Scheme for Multiple Traces via Internal Resonance in Coupled Oscillators

Trace detection of multiple substances is crucial for public health and safety, chemical production, scientific research, and so on. A single trace is detectable via various methods, while the quantitative detection of multiple traces is still facing challenges. In this work, a single-input single-output (SISO) sensing scheme for multiple traces via internal resonance in coupled oscillators is proposed. An E-shaped coupled resonator is designed as an example for identifying and detecting three traces. Theoretical results, which have been verified by numerous simulations, indicate that high sensitivities, high linearity, low errors, and SISO detection can be realized. Moreover, the proposed scheme is not limited by the mass ratio of the three traces, and it can be widely applied for various practical scenarios. The generality of the proposed scheme for multiple traces is also preliminarily demonstrated with a 5-DOF internal resonance system (IRS). It is believable that the proposed scheme is applicable to any number of traces. This work not only widens the theoretical content of internal resonance but also opens a new avenue for the quantitative detection of multiple traces.