I had write matlab programme using kubo formula and plot the intra conductivity in the range of 1 thz to 10 thz using an article below but real part of conductivity is 3.5*10^-15 s/m is this result correct???? plz check the pdf and the figure
bcz in the article the real part of conductivity was 3.5 s/m
thank you all.
The image you sent shows the real and imaginary parts of the conductivity of graphene as calculated using the Kubo formula. This information can be used to add graphene material to HFSS (High Frequency Structure Simulator) for simulating its electromagnetic behavior. Here's how you can do it:
1. Calculate the frequency-dependent permittivity of graphene:
The permittivity of graphene can be derived from its conductivity using the following equation:
ε = σ / (jωε₀)
where:
ε is the complex permittivity
σ is the complex conductivity (obtained from the Kubo formula in your image)
ω is the angular frequency (2πf, where f is the frequency in Hz)
ε₀ is the permittivity of free space (8.854 × 10⁻¹² F/m)
For each frequency point in your data, calculate the real and imaginary parts of the permittivity using the above equation.
2. Create a new material in HFSS:
Go to the "Project Explorer" window in HFSS.
Right-click on the "Materials" folder and select "Add Material".
In the "Material Properties" window, select "Frequency Dependent" from the "Type" dropdown menu.
Click on the "Browse" button next to the "εr" and "εi" fields.
3. Import the permittivity data:
Select the text file containing the real and imaginary parts of the permittivity calculated in step 1.
Make sure the data format is compatible with HFSS (typically tab-delimited with the first column representing frequency and the second and third columns representing real and imaginary parts of permittivity, respectively).
Click "Open" to import the data.
4. Assign the graphene material to your geometry:
Select the part of your geometry where you want to apply the graphene material.
Right-click and select "Assign Material".
Choose the graphene material you just created from the list.
5. Simulate your model:
Once you have assigned the graphene material, you can run your simulation in HFSS as usual.
Additional notes:
The Kubo formula assumes an infinite graphene sheet. If your graphene is patterned or has a finite size, you might need to use a different model for its conductivity.
You can also import the conductivity data directly into HFSS instead of calculating the permittivity yourself. However, this might be less convenient if you need to make changes to the Kubo formula or the frequency range.
By following these steps, you can add graphene material to your HFSS model using the conductivity data obtained from the Kubo formula. This will allow you to simulate the electromagnetic behavior of your device with greater accuracy.
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