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Self-Assembly of Synthetic and Biological Polymeric Systems of ...

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autocorrelation function (ACF). In the time domain, the correlation function usually decays<br />

with time (Figure 2.8), <strong>and</strong> faster dynamics leads to faster decorrelation <strong>of</strong> the scattered<br />

intensity trace. It can be shown that for a r<strong>and</strong>om process the intensity ACF is the Fourier<br />

transform <strong>of</strong> the power spectrum <strong>and</strong>, therefore, DLS measurements can be equally well-<br />

performed in the spectral domain. In fact, DLS experiments were initially discussed in terms <strong>of</strong><br />

the broadening <strong>of</strong> the spectrum peak <strong>of</strong> monochromatic light due to Doppler shifts<br />

experienced by propagating light waves scattered by moving particles (31).<br />

Figure 2.8. Illustration <strong>of</strong> autocorrelation function (31).<br />

To detect the intensity fluctuation with time, a DLS system requires an autocorrelator on top<br />

<strong>of</strong> a regular SLS system, as shown in Figure 2.9.<br />

Figure 2.9. Sketch <strong>of</strong> a dynamic light scattering system. The pulse amplifier discriminator<br />

converts the analogic signal <strong>of</strong> the photodetector, I(t), in a digitalized signal, which is further<br />

processed by the autocorrelator into the autocorrelation function.<br />

41

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