Calculating Transmittance Across Two Boundaries Using Dielectric Function

In summary, transmittance is a measure of how much light passes through a material and is related to the dielectric function, which describes the material's ability to polarize in response to an electric field. To calculate transmittance across two boundaries, the dielectric function of each material and the angle of incidence of the light are needed. The transmittance is affected by factors such as refractive indices, angle of incidence, polarization, and thickness of materials. It cannot be greater than 1, and the dielectric function can be experimentally determined by measuring reflectance and transmittance at different angles of incidence and calculating the refractive index.
  • #1
ronaldoshaky
55
0
How do you work out the transmittance across two boundaries (i.e. a wall)?

Do you multiply the transmittance for one boundary by the transmittance across the other boundary?
 
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  • #2
You can assume that the incident intenstity on the second medium is the transmitted intensity from the first medium. So the answer would be "yes" but be sure you understand why.

Also I think you are using the term "boundary" with a little confusion, though that might be because I myself am not familiar with optics usage.
 

1. What is transmittance and how is it related to dielectric function?

Transmittance is a measure of how much light passes through a material. It is related to the dielectric function, which describes the material's ability to polarize in response to an electric field, by the equation T = |E|^2/|E_0|^2, where E is the electric field after passing through the material and E_0 is the initial electric field.

2. How is transmittance across two boundaries calculated using the dielectric function?

To calculate transmittance across two boundaries, you need to know the dielectric function of each material and the angle of incidence of the light. The transmittance can then be calculated using the Fresnel equations, which take into account the refractive indices and the polarization of the light.

3. What factors affect the transmittance across two boundaries?

The transmittance across two boundaries is affected by several factors, including the refractive indices of the two materials, the angle of incidence of the light, the polarization of the light, and the thickness of the materials. The dielectric function of the materials also plays a crucial role in determining the transmittance.

4. Can the transmittance across two boundaries be greater than 1?

No, the transmittance across two boundaries cannot be greater than 1. This would imply that more light is passing through the material than is initially present, which is physically impossible. The maximum transmittance value is 1, which corresponds to complete transmission of light through the material.

5. How is the dielectric function experimentally determined?

The dielectric function can be determined experimentally by measuring the reflectance and transmittance of light at different angles of incidence and using this data to calculate the refractive index of the material. The dielectric function can then be calculated using the relation n^2 = ε, where n is the refractive index and ε is the dielectric constant.

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