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William Angerer - Department of Physics and Astronomy - University ...

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89<br />

at this interface. :'-rote that "total tangential fields at boundary a" refers to the<br />

tangential fields in both layer 0 <strong>and</strong> layer 1 at boundary a, i.e. boundary conditions<br />

require the equality <strong>of</strong> the tangential fields on both sides <strong>of</strong> the interface. Fifth.<br />

the reflection coefficient <strong>of</strong> the thin slab is determined from the tangential fields at<br />

boundary a. Si.xth, the transmission coefficient <strong>of</strong> the thin film is determined from<br />

the reflection coefficient <strong>of</strong> the slab.<br />

Step 1 - Apply boundary conditions at boundary b.<br />

Our calculation determines the transmission <strong>of</strong> p-polarized light through a single<br />

thin film. Therefore, the tangential electric field is related to the total electric field<br />

as<br />

(·t9)<br />

where i = 0, 1, or 2, which denotes the incident region, the thin film, <strong>and</strong> the substrate.<br />

respectively. For p-polarized light the tangential component <strong>of</strong> the magnetic field is<br />

identically equal to the total magnetic field, i.e.<br />

(-1.10)<br />

Therefore. boundary conditions at boundary b imply<br />

(4.11 )<br />

<strong>and</strong><br />

(4.12)<br />

Reproduced with permission <strong>of</strong> the copyright owner. Further reproduction prohibited without permission.

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