Thanks for your reply, @aya_zaki. The Kubo formula used for the 2D graphene model assumes a chemical potential and scattering rate to be independent of frequency, but in principle the integrals (2) and (3) in the page that @aya_zaki mentioned can be calculated without this assumption because the integration does not involve frequency. However, it is important to check if the frequency-dependent chemical potential and scattering rate are meant to be used in the Kubo-formula conductivity implemented in Lumerical’s optical solvers. If that is the case then there are two approaches you can use:
- run a sweep over single frequency simulations, changing the material properties, as @aya_zaki suggested, or
- calculate the conductivity as a function of frequency and use the sampled 2D data conductivity model, which can be used with 2D rectangles, just like the regular 2D graphene material.
The second method has the advantage that you can run broadband simulations so you can get many frequencies from one simulation. Furthermore, if you need to use a conductivity formula that is not the same as Kubo’s, you can still do it; you just need to calculate the conductivity for a bunch of frequency points and use it as sampled 2D data.