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BSA Flow Software Installation and User's Guide - CSI

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Figure 7-33: The definitions of the modes of scattering.<br />

All three modes of scattering can be used with the PDA. There is, however,<br />

one crucial point which is imperative to be kept in mind. The PDA estimates<br />

the particle size from the phase differences of the Doppler bursts received by<br />

the different photo-detectors in the receiving optics. Since the three modes<br />

of scattering give rise to different conversion factors (phase factors),<br />

receiving light from more than one scattering mode is likely to give rise to<br />

errors.<br />

Note Therefore, you should always set up a PDA system so that only one mode of<br />

scattering dominates the light received by the receiving optics.<br />

Various modes of scattering dominate the scattered light at different<br />

scattering angles. This we shall take into account when choosing the<br />

scattering angle. In addition, the angular dependence of the intensity of each<br />

scattering mode also differs with the polarization orientation of the scattered<br />

light, which also can be used to discriminate between the different modes.<br />

Scattering angles The angles of the reflected, refracted <strong>and</strong> second order refracted rays (Figure<br />

7-34) can be expressed in terms of the angle of incidence, ϕ i , <strong>and</strong> the relative<br />

refractive index n rel .<br />

Figure 7-34: Ray tracing illustrating the angles ϕi, ϕ0, ϕ1<br />

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

For reflection:<br />

ϕ0= π−2ϕi For refraction:<br />

ϕ<br />

ϕ1<br />

ϕ<br />

=<br />

⎡ ⎛ ⎞ ⎤<br />

2 ⎢arcsin⎜<br />

⎟ − ⎥<br />

⎣⎢<br />

⎝ ⎠ ⎦⎥<br />

sin i<br />

i<br />

nrel<br />

For second order refraction:<br />

(A1-10)<br />

(A1-11)<br />

7-38 <strong>BSA</strong> <strong>Flow</strong> <strong>Software</strong>: Reference guide<br />

ϕ 2 .

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