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Nonlinear Optical Probes and Processes in Polymers and Liquid ...

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22<br />

Figure 2.3). Due to nonlocality of the grat<strong>in</strong>g, one diffracted beam (for example, 1’)<br />

<strong>in</strong>terferes destructively with its companion beam 2, <strong>and</strong> the other diffracted beam 2’<br />

<strong>in</strong>terferes constructively with beam 1. As a result, the beam 1 is amplified (energy<br />

ga<strong>in</strong>) while the beam 2 experiences energy loss. The direction of energy transfer de-<br />

pends on the sign of the electro-optic coefficient <strong>and</strong> the sign of the charge carrier.<br />

The experiment <strong>in</strong>volves measurement of the transmitted beam <strong>in</strong>tensities. In the<br />

case of a purely local grat<strong>in</strong>g, there is no energy transfer <strong>and</strong> thus, the <strong>in</strong>tensities of<br />

the transmitted beams will be the same as those of the <strong>in</strong>cident beams (if we neglect<br />

absorption <strong>and</strong> reflection losses).<br />

As one notices <strong>in</strong> Figure 2.3, the beams 1 <strong>and</strong> 2 are <strong>in</strong>cident at some angles<br />

(θ1 <strong>and</strong> θ2) with respect to a sample surface normal. This choice of experimental<br />

geometry is governed by several factors. First, all the processes <strong>in</strong> polymers that<br />

are responsible for space charge field build-up are strongly electric field dependent.<br />

Therefore, to assist <strong>in</strong> charge transport along the grat<strong>in</strong>g vector K, a large component<br />

of external electric field Ea <strong>in</strong> the direction of the vector K is needed. Second, s<strong>in</strong>ce<br />

the NLO chromophores that are part of the PR polymer composite are aligned <strong>in</strong> the<br />

direction of applied field, it is necessary to provide a nonzero component of electro-<br />

optic response along the grat<strong>in</strong>g vector K.<br />

Ideally, the beams 1 <strong>and</strong> 2 would be <strong>in</strong>cident symmetrically from opposite sides<br />

of the sample, so that the directions of applied electric field Ea <strong>and</strong> grat<strong>in</strong>g vector K

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