This page provides simple example using the modal volume analysis object that can be used to calculate modal volume of a confined mode. This object is available in the object library in the resonators section. A modal area analysis object is also available from the object library for 2D simulations.
Modal volume calculation
This analysis object provides three simple ways to calculate the modal volume, defined below.
| Calculation Type | Equation |
|---|---|
|
1 |
\( V = \displaystyle \int (E^2 \gt \frac{1}{2} E^2)dV \) |
|
2 |
\( V = \frac{\displaystyle \int \varepsilon E^2 dV }{\displaystyle max( \varepsilon E^2)} \) |
|
3 (default) |
\( V = \frac{\displaystyle \left( \int H^2 dV\right)^2}{\displaystyle \int H^4 dV} \) |
It is worth noting that more sophisticated definitions of modal volume exist. If these definitions are not sufficient for your needs, these examples can be used as a starting point for you to create your own custom modal volume analysis object.