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

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37<br />

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

This leads to the following solution for the envelope function <strong>of</strong> the transmitted field<br />

(bl (W)<br />

k/l(w) + kfo{w)<br />

[_ 2k/l (w) (kbl (W) + k fO(W)) e1(k/dw)-k/o(o.J)d<br />

kf1{w) + kfo(w)<br />

+(kb1(W) + k/l(W))ei(kb1(W)-k/O(W))dj. (2.50)<br />

In a zeroth-order approximation. the relationships between the coefficients k <strong>and</strong> ...;<br />

are<br />

(2.51)<br />

with<br />

( 'J _.;)- -.J)<br />

Equation (2.50) can be rewritten as<br />

(2.53)<br />

with<br />

(2.54)<br />

Note that ex <strong>and</strong> /3 do not depend on w.<br />

This determines the angular frequency<br />

representation <strong>of</strong> the transmitted SHG field. Ef2(r, t) is determined by applying the<br />

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

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