Nonlinear dynamics; Resonators and oscillators; Interdisciplinary physics; Micro- and Nano-Electro-Mechanical Systems (M-/NEMS); Resonant sensors
Nonlinear dynamics / Resonators / M-/NEMS
1. Intrinsic Localized Modes: First-ever experimental demonstration of the travelling discrete localized excitations in a supposedly composite MEMS resonator (arXiv:1610.01370 (2016))
2. Intrinsic Mode Splitting: First-ever experimental demonstration of the mode splitting in a supposedly classical MEMS resonator (A. Ganesan et al. IEEE IFCS 2016)
4. N-mode Parametric Resonance: Experimental demonstration of the 3-mode parametric resonance in a MEMS resonator (A. Ganesan et al. Appl. Phys. Lett. 109.19 (2016): 193501)
5. N-coupled Parametric Resonance: Violation of the current theory of parametric resonance in the coupled MEMS resonators (arXiv:1611.06113 (2016))
6. High Harmonic Generation: First-ever experimental demonstration of the simultaneous annihilation and creation of low-order and high-order harmonics respectively in a supposedly classical MEMS resonator (arXiv:1610.00750 (2016))
Novelty of my contributions
In my view, the history of ‘mechanical resonance’ has been rooted by the following chapters.
1. The Newton’s second law of motion and Hooke’s law jointedly described the linear mechanical resonance.
2. In 1831, Michael Faraday discovered a nonlinear resonance mechanism named parametric resonance.
3. In 1868, Émile Léonard Mathieu explained the parametric resonance.
4. In 1955, the trio Fermi-Pasta-Ulam (FPU) generalized the nonlinear resonance equation.
Remarkably, our observations including the High Harmonic Generation, N-coupled Parametric Resonance and Intrinsic Mode Splitting seem exterior to state-of-the art FPU formalism of mechanical resonance. Consequently, an additional rigorous exercise i.e. the refinement of mechanical resonance framework may be required. Nonetheless, sooner or later, our perceptions may turn out to be crucial in the future scientific discussion associated with the mechanical resonance.
Significance of my contributions
The insights derived from our experiments can be of immediate interest to the M-/NEMS resonator community. In the near future, I foresee an active evolutionary involvement of this intimate circle in the deeper understanding of our postulates and their eventual practical usages in the next-generation mechanical devices.
The existence of nonlinear anomalies in the M-/NEMS resonators may also establish a fresh body of researchers setting sights on the interesting hypotheses in this sort of an experimental test-bed.
Our physics results may also originate new ideas in the variant research topics connected with the M-/NEMS resonators including the Macroscopic Quantum Mechanics and Optomechanics.
Furthermore, I also seek participation from the theorists in the fields of both nonlinear dynamics and condensed matter physics to fundamentally explain our phenomena. Such resolved analytics may accelerate the engineering of M-/NEMS resonators with the optimal mechanics, material and design. The identified pathways may also find relevance to the other distinct physical systems.