Compute MEMS capacitance metrics accurately today.
Micro-electro-mechanical systems (MEMS) heavily rely on comb drives for actuation and sensing. Accurate calculation of capacitance ensures optimal device performance across various applications like accelerometers and resonators.
The primary baseline formula for estimating comb drive capacitance incorporates the physical dimensions and material constants:
$$C = \frac{2 N \varepsilon_0 \varepsilon_r t x}{g}$$
Where $N$ represents the number of fingers, $\varepsilon_0$ is the vacuum permittivity, $\varepsilon_r$ is the relative permittivity, $t$ is thickness, $x$ is overlap, and $g$ is the inter-finger gap distance.