Phononic frequency comb via three-mode parametric resonance

Abstract

This paper is motivated by the recent demonstration of three-wave mixing based phononic frequency comb. While the previous experiments have shown the existence of three-wave mixing pathway in a system of two-coupled phonon modes, this work demonstrates a similar pathway in a system of three-coupled phonon modes. The paper also presents a number of interesting experimental facts concomitant to the three-mode three-wave mixing based frequency comb observed in a specific micromechanical device. The experimental validation of three-mode threewave mixing along with the previous demonstration of two-mode three-wave mixing points to the ultimate possibility of multimode frequency combs.Optical frequency combs have significantly transformed modern metrology and molecular spectroscopy [1][2]. Recently, we experimentally demonstrated the existence of such frequency combs in the phononic domain [3] after its theoretical prediction in [4]. While both optical and phononic frequency combs carry similar spectral features, the dynamics describing the respective

Precise Underwater Distance Measurement by Dual Acoustic Frequency Combs

“…in 2014, the group of Seshia experimentally realized the generation of acoustic frequency comb based on the nonlinear resonances for the first time . Similar with the mechanism of four‐wave mixing in optical microcomb, acoustic frequency comb can be generated via intrinsic three‐wave mixing by utilizing a piezoelectrically driven micromechanical resonator, which can be a potential toolset in phonon harvesting, entanglement of phonons, and ultrasonic imaging. However, the generated comb sources have not been precisely stabilized to a frequency reference, suggesting that the acoustic modes involved by the comb source are free running.…”

Modal Analysis Investigation of Mechanical Kerr Frequency Combs

“…Indeed several approaches have been undertaken to demonstrate frequency combs, the first approach relies on mixing two drive tones using the nonlinearity of the MEMS device (Erbe et al 2000, Jaber et al 2016, Hatanaka et al 2017, Houri et al 2019. A second approach relies on inducing instabilities in a highly nonlinear M/NEMS device, such instabilities usually originates from the nonlinear interaction between different oscillating modes or devices (Karabalin 2009, Mahboob et al 2012, Cao et al 2014, Mahboob et al 2016, Houri et al 2017, Seitner et al 2017, Ganesan et al 2017, Ganesan et al 2018, Czaplewski et al 2018.…”

Resonance tracking in a micromechanical device using phononic frequency combs

“…0 > ≠0 , the frequency 1 can still be tracked through appropriate detection schemes. As the resonant frequency varies about the regime where the conditions for the comb generation are satisfied [24], the response continues to conform this characteristic nature, and hence an automatic tracking of 1 is achieved. As opposed to feedback oscillators, no external gain / phase feedback elements are required, significantly reducing the design complexity as well as the number of noise sources in the loop.To experimentally demonstrate the concept of resonant tracking utilizing phononic frequency combs, the device previously used to illustrate the formation of phononic frequency combs via three-mode parametric three-wave mixing [24] is again considered.…”

“…This is through the process of 3-mode parametric resonance [23]. However, recent work [24] demonstrated the possibility for the formation of phononic frequency combs using the very same dynamics (eq. (1)) [20].…”

“…To experimentally demonstrate the concept of resonant tracking utilizing phononic frequency combs, the device previously used to illustrate the formation of phononic frequency combs via three-mode parametric three-wave mixing [24] is again considered. This device is an AlN-on-Si freefree beam structure of dimensions 1100 × 350 × 11 3 as shown in Fig.…”