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

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95<br />

complex index <strong>of</strong> refraction, is presented is Appendi.x D. For a real index <strong>of</strong> refraction,<br />

the expression for the real part <strong>of</strong> BC· is<br />

Real(BC") = '12.<br />

( 4.37)<br />

Thus, combining equations (4.36) <strong>and</strong> (4.37) determines T as<br />

T = TJ2 tt*<br />

TJo<br />

( ·1.38)<br />

where<br />

2TJo<br />

t = ----'-­<br />

TJoB + C<br />

( 4.39)<br />

For an l layer stack, the equations (4.26) <strong>and</strong> (4.38) are modified as<br />

(4.40)<br />

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

T = TJI+l tt*,<br />

TJo<br />

(4.41)<br />

where Ali is defined as equation (4.25) with its characteristic thickness, d i , <strong>and</strong> angle<br />

<strong>of</strong> incidence <strong>of</strong> the fields, ()i. Note, the layers are labeled from 1, which is the layer<br />

adjacent to the incident medium, to l, which is the layer adjacent to the substrate<br />

material.<br />

In contrast to the HeNe <strong>and</strong> Ar ion lasers used in the thin film thickness measurements,<br />

the Xe lamp has a non-negligible b<strong>and</strong>width that must be accounted for in<br />

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

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