Selective Parametric Amplification of Degenerate Modes in Electrostatically Transduced Coupled Beam Resonators

Fuente: arXiv
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Main Authors: Kumar, Vishnu, Arora, Nishta, A., Bhargavi B., Naik, Akshay, Chandorkar, Saurabh A.
Format: Preprint
Published: 2025
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_version_ 1866911240266186752
author Kumar, Vishnu
Arora, Nishta
A., Bhargavi B.
Naik, Akshay
Chandorkar, Saurabh A.
author_facet Kumar, Vishnu
Arora, Nishta
A., Bhargavi B.
Naik, Akshay
Chandorkar, Saurabh A.
contents Parametric excitation in coupled mechanical systems has enabled advances in sensing, computation, and phonon control. The function of distinct phase modes using parametric driving remains insufficiently explored. Here, we investigate the nonlinear and parametric response of degenerate phase modes in a Double Ended Tuning Fork (DETF) resonator. Our measurements reveal pronounced nonlinearity and parametric amplification in the out-phase mode, attributed to the dominant contribution of the coupling beam, while the in-phase mode remains predominantly linear. Uniquely, we demonstrate parametric excitation through the coupling spring, enabling selective amplification and de-amplification controlled via the relative phase between harmonic and parametric drives. A parametric gain of $\sim$13 dB is achieved in the out-phase mode, with phase-dependent modulation of amplification, indicating its suitability for signal processing, logic operations, and memory elements based on degenerate modes. These results establish a new approach to exploiting mode-specific nonlinear dynamics in coupled resonators for emerging applications in sensing and phononic control.
format Preprint
id arxiv_https___arxiv_org_abs_2510_25903
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Selective Parametric Amplification of Degenerate Modes in Electrostatically Transduced Coupled Beam Resonators
Kumar, Vishnu
Arora, Nishta
A., Bhargavi B.
Naik, Akshay
Chandorkar, Saurabh A.
Mesoscale and Nanoscale Physics
Applied Physics
Parametric excitation in coupled mechanical systems has enabled advances in sensing, computation, and phonon control. The function of distinct phase modes using parametric driving remains insufficiently explored. Here, we investigate the nonlinear and parametric response of degenerate phase modes in a Double Ended Tuning Fork (DETF) resonator. Our measurements reveal pronounced nonlinearity and parametric amplification in the out-phase mode, attributed to the dominant contribution of the coupling beam, while the in-phase mode remains predominantly linear. Uniquely, we demonstrate parametric excitation through the coupling spring, enabling selective amplification and de-amplification controlled via the relative phase between harmonic and parametric drives. A parametric gain of $\sim$13 dB is achieved in the out-phase mode, with phase-dependent modulation of amplification, indicating its suitability for signal processing, logic operations, and memory elements based on degenerate modes. These results establish a new approach to exploiting mode-specific nonlinear dynamics in coupled resonators for emerging applications in sensing and phononic control.
title Selective Parametric Amplification of Degenerate Modes in Electrostatically Transduced Coupled Beam Resonators
topic Mesoscale and Nanoscale Physics
Applied Physics
url https://arxiv.org/abs/2510.25903