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

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225<br />

As usual, ¢ is the angle between the crystal x a..xis <strong>and</strong> the lab x a..xis <strong>and</strong> Q<br />

is the<br />

miscut angle <strong>of</strong> the sample. Thus, the phase shift induced by the birefringence <strong>of</strong> the<br />

film may be accounted for by<br />

(E. i)<br />

This is the wave that is transmitted through GaN/sapphire <strong>and</strong> is denoted by the<br />

subscript t. vVe can now project this onto the coordinate system <strong>of</strong> the polarizer by<br />

(E.S)<br />

where T denotes the transpose <strong>of</strong> the matrix. The field transmitted through the<br />

s-polarizer is<br />

Ei = P.LEf<br />

(E.g)<br />

with<br />

0 0 0<br />

P.L = 0 1 0 (E.I0)<br />

0 0 0<br />

This field may be expressed in terms <strong>of</strong> the incident field as<br />

(E.ll)<br />

Because Q is a small angle, this expression is dominated by sin ¢, as opposed to the<br />

more conventional dependence <strong>of</strong> sin 2¢.<br />

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

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