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

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221<br />

generaL the time averaged value <strong>of</strong> the Poynting vector is<br />

s = 8: Real(EH")k (0.19)<br />

where k is a unit vector in the direction <strong>of</strong> the net propagation <strong>of</strong> the fields.<br />

At<br />

boundary b. the time averaged Poynting vector, is<br />

(0.20)<br />

where E2 is the total electric field in the substrate <strong>and</strong> U2 is the energy flux transmitted<br />

into region 2 per unit time. Similarly, the Poynting vector at boundary a is<br />

Sa = 8: Real(BC")Eik = (1 - R)uok (0.21)<br />

where Uo is the incident energy flux per unit time in region 0 transmitted through<br />

boundary a. Therefore, the transmission coefficient <strong>of</strong> the thin film is<br />

T = U2 = 172(1 - R) .<br />

Uo Real(BC")<br />

(0.22)<br />

Equation (0.22) can be rewritten using equation (0.18) <strong>and</strong> R = rr' as<br />

where<br />

T = 172 tt' (0.23)<br />

110<br />

2110<br />

t=<br />

TJoB + C<br />

(0.2-1)<br />

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

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