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

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36<br />

Ionization Potential<br />

Sensitizer (N )<br />

A<br />

h<br />

s<br />

Shallow Traps (M )<br />

T1<br />

<br />

DA<br />

Vacuum Energy Level<br />

Electric Field E<br />

Deep Traps (M )<br />

T2<br />

T <br />

<br />

T<br />

Transport Sites<br />

Spatial Coord<strong>in</strong>ate x<br />

Figure 2.5: Schematic representation of the modified model for photorefractive polymers.<br />

Symbols are described <strong>in</strong> the text.<br />

modified model presented here differs from Schildkraut <strong>and</strong> Buettner’s by <strong>in</strong>troduc<strong>in</strong>g<br />

two k<strong>in</strong>ds of traps - shallow <strong>and</strong> deep. Here, by the term “deep,” we mean that<br />

the rate of thermal detrapp<strong>in</strong>g for these traps is at least an order of magnitude<br />

lower than that of shallow traps, but still has a nonzero probability for detrapp<strong>in</strong>g.<br />

The processes taken <strong>in</strong>to account <strong>in</strong> here are depicted <strong>in</strong> Figure 2.5. A sensitizer<br />

(acceptor) with density NA is excited <strong>and</strong> subsequently ionized by light of frequency<br />

ω with cross-section s. A free hole is <strong>in</strong>jected <strong>in</strong>to the transport manifold <strong>and</strong> hops<br />

between transport sites until it either becomes trapped or recomb<strong>in</strong>es with ionized<br />

acceptors with rate γ. Although, generally, the energy spectrum of trapp<strong>in</strong>g sites has<br />

a cont<strong>in</strong>uous distribution [14], we consider only two k<strong>in</strong>ds of traps with well-def<strong>in</strong>ed<br />

<br />

Energy

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