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

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220<br />

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

(0.1.,1)<br />

respectively. Equation (D.14) can be rewritten using equation (D.S) as<br />

(0.15)<br />

In equation (4.26), we normalized the output tangential electric field, <strong>and</strong> thus determined<br />

the ratio <strong>of</strong> the tangential magnetic <strong>and</strong> electric fields at boundary a to<br />

be<br />

1ia C<br />

(z x c a ) - B'<br />

where B<strong>and</strong> C are defined in equations (4.27) <strong>and</strong> (4.2S). respectively. ~o\v.<br />

(0.16)<br />

equation<br />

(0.15) can be expressed in terms <strong>of</strong> equation (0.16) as<br />

(O.lT)<br />

ylultiplying equation (0.13) by ~ <strong>and</strong> subtracting equation (D.17) determines the<br />

reflection amplitude as<br />

(O.lS)<br />

DA Derivation <strong>of</strong> equation (D.23) for complex indices <strong>of</strong> refraction<br />

The transmission coefficient for the case <strong>of</strong> absorption, i.e. complex indices <strong>of</strong> refraction,<br />

can be derived by analyzing the Poynting vectors at boundaries a <strong>and</strong> b. In<br />

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

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