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BSA Flow Software Installation and User's Guide - CSI

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Φ<br />

360°<br />

Φ V1-V2<br />

Φ U1-U2<br />

0<br />

D max<br />

Validation The validation routine consists basically of comparing the droplet<br />

routine diameter measured by the planar PDA with the droplet diameter measured<br />

by the conventional PDA. A programmable discrepancy is allowed to<br />

account for the finite accuracy of the phase measurement in the signal<br />

processor <strong>and</strong> for a certain degree of non-sphericity of the droplets. The size<br />

measurement is finally performed using the phase difference measured with<br />

the conventional PDA due to the higher resolution. The planar PDA is used<br />

to resolve the 2π ambiguity <strong>and</strong> for validation. As both PDA configurations<br />

are affected in a different sense by the trajectory effect <strong>and</strong> the slit effect,<br />

this validation procedure provides an effective means to identify <strong>and</strong> reject<br />

erroneous measurements.<br />

7.2.3 Light scattering from small particles<br />

General considerations on scattering<br />

Light scattering Most of the material presented in this appendix is based on geometric optics<br />

theories (ray tracing). The approach using geometric optics (GO) is valid for<br />

particles of diameter much larger than the wavelength of light <strong>and</strong> at a<br />

distance much greater than the diameter of the particle. For smaller<br />

particles, it is necessary to apply the Lorenz-Mie Theory (LMT) for light<br />

scattering <strong>and</strong> if the Gaussian intensity distribution of the laser beams is also<br />

to be taken into account, the Generalized Lorenz-Mie Theory (GLMT) can<br />

be used. Such is the case when the trajectory effect, which arises from the<br />

Gaussian beam profile, is to be analysed.<br />

Basic relations for light hitting an interface<br />

Figure 7-29: Typical DualPDA phase-diameter relationship.<br />

A ray of light hitting an interface between two regions of different refractive<br />

index, n 1 <strong>and</strong> n 2 (Figure 7-31), is examined.<br />

7-34 <strong>BSA</strong> <strong>Flow</strong> <strong>Software</strong>: Reference guide<br />

D<br />

Figure 7-30: The different slopes of the diameter-phase relation in the DualPDA,<br />

used to resolve the 2π ambiguity.

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