For an anisotropic material, the dielectric tensor describes the relationship between the applied electric field and the induced polarization response in different directions. The dielectric tensor is a 3x3 matrix that characterizes the anisotropy of the material's dielectric properties.

To calculate the transmission rate of an electromagnetic wave through an anisotropic material, you can use the Fresnel equations, which describe the reflection and transmission of electromagnetic waves at the interface between two media. The Fresnel equations can be generalized to anisotropic materials by using the dielectric tensor to account for the anisotropy of the material's optical properties.

In general, the transmission rate of an electromagnetic wave through an anisotropic material depends on the angle of incidence, polarization, and the dielectric tensor of the material. To calculate the transmission rate, you can use the following steps:

It is important to note that the calculation of transmission rate through anisotropic materials can be complex and may require advanced modeling and simulation techniques, depending on the specific system and the desired level of accuracy. Additionally, the anisotropy of the material can have a significant impact on the transmission properties, and careful consideration should be given to the material properties and experimental conditions to ensure accurate and reliable results.

Thank you for your answer. I think my previous question wasn't specific enough, so I'll elaborate a bit more. I tested a piece of an anisotropic crystal with an ellipsometry, and I tested the transmission of the crystal (with unpolarized light). The ellipsometry can fit the transmittance. I wonder how the ellipsometry is fitted. The ellipsometry provides the absorption coefficient of this crystal in the in-plane x-direction and y-direction and the vertical plane z-direction, and also provides the entire dielectric tensor. How can the transmission coefficient be calculated?

@Febin Cherian John