Connecting Q to TCF for MEMS and piezoelectric resonators
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917867786600448 |
|---|---|
| author | McHugh, S. |
| author_facet | McHugh, S. |
| contents | Two critical characteristics for any MEMS resonator are the quality factor ($Q$) and the temperature coefficient of frequency ($TCF$). The connection between $Q$ and $TCF$ is demonstrated here with a phenomenological anharmonic oscillator model. Specifically, it is shown that the same nonlinear terms responsible for the $TCF$ set an upper limit on the resonator's $Q$. A concise formula is found to estimate this loss and is shown to be closely related to Woodruff's formula for Akhiezer damping. The use of this formula is illustrated by extending the model to an important class of MEMS; piezoelectric resonators. Finally, the model is applied to published data for an AlN-on-diamond piezoelectric resonator. The focus here is on MEMS resonators, but the method should apply broadly to any resonance with non-zero $TCF$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09455 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Connecting Q to TCF for MEMS and piezoelectric resonators McHugh, S. Mesoscale and Nanoscale Physics Classical Physics Two critical characteristics for any MEMS resonator are the quality factor ($Q$) and the temperature coefficient of frequency ($TCF$). The connection between $Q$ and $TCF$ is demonstrated here with a phenomenological anharmonic oscillator model. Specifically, it is shown that the same nonlinear terms responsible for the $TCF$ set an upper limit on the resonator's $Q$. A concise formula is found to estimate this loss and is shown to be closely related to Woodruff's formula for Akhiezer damping. The use of this formula is illustrated by extending the model to an important class of MEMS; piezoelectric resonators. Finally, the model is applied to published data for an AlN-on-diamond piezoelectric resonator. The focus here is on MEMS resonators, but the method should apply broadly to any resonance with non-zero $TCF$. |
| title | Connecting Q to TCF for MEMS and piezoelectric resonators |
| topic | Mesoscale and Nanoscale Physics Classical Physics |
| url | https://arxiv.org/abs/2407.09455 |