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

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218<br />

The polarization, et, <strong>of</strong> the positive going field is determined by ~ . Ei = 0 <strong>and</strong> ~""!"<br />

(equation (4.8)) as<br />

(0.·1)<br />

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

E+ = e-+E:'-<br />

1 1 1·<br />

(D.5)<br />

Thus. equation (D.3) can be written as<br />

-E+ H+<br />

niY i = i·<br />

(0.6)<br />

Csing equations (4.9) <strong>and</strong> (D.4) we can express the positive going electric field in<br />

terms <strong>of</strong> the positive going tangential electric field as<br />

(0.7)<br />

Combining equations (0.6) <strong>and</strong> (D.7) leads to<br />

(0.8)<br />

with<br />

(0.9)<br />

A derivation for the negative going waves leads to an equation similar to equation<br />

(0.8), <strong>and</strong> thus to equation (4.15).<br />

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

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