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BSA Flow Software Installation and User's Guide - CSI

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for all the relative refractive indexes between 0,6 <strong>and</strong> 2 (by steps of 0,01)<br />

The scattering mode may change with the scattering angle.<br />

The sytem was composed of one laser beam, one particle <strong>and</strong> one detector.<br />

The detectors of the PDA receiver have slightly different scattering angles,<br />

which depend on the collection angle of the receiver optics <strong>and</strong> the<br />

intersection angle of the beams.<br />

7.7 Catalogue of some common particles<br />

7.7.1 How to read the scattering charts<br />

The following charts have been calculated for a small selection of relative<br />

refractive indices. Each chart has two panels.<br />

Top panel The top panel shows the scattering angles for each incident ray. The incident<br />

rays are shown for the upper half of the particle alone, although the bottom<br />

half is symmetrical, as in Figure 7-63. However, it is difficult to follow the<br />

various rays. Therefore, in these illustrations, only the light rays incident on<br />

the upper half of each sphere are shown.<br />

Reflection: The angles of light cover a range from 180° to 0°, corresponding<br />

to the off-axis distance of the incident beam of 0 to 1.0r (r = radius of the<br />

sphere).<br />

Refraction: Similarly, the angles of scattered light span from 0° to ϕc1, the<br />

critical angle for refracted light.<br />

2nd order refraction: When nrel > 1, the light rays show a characteristic<br />

property: when the off-axis distance of the incident light increases from 0 to<br />

1r, the angle decreases from 180°, passes through minimum (the rainbow<br />

angle) <strong>and</strong> then increases again till it reaches ϕc2, thus folding back <strong>and</strong><br />

forming a range such that for each output angle there are two incident rays -<br />

or even three if 180° is also passed.<br />

When nrel < 1, 2nd order refraction covers the entire range of scattering<br />

angles <strong>and</strong> gives double contributions in the range 0 to ϕc2 = ϕc1, i.e. in<br />

the range of 1st order refraction.<br />

Bottom panel The bottom panel shows the angular distribution of the relative intensity of<br />

the scattered light (logarithmic scale, 5 decades, 1 decade indicated by each<br />

dotted circle) in each of the three modes: reflection, refraction <strong>and</strong> 2nd order<br />

refraction. The calculations were based on geometrical optics, <strong>and</strong> were<br />

made for a particle 50 µm in diameter <strong>and</strong> a single point receiving aperture.<br />

Upper half: The upper half of the bottom panel shows the situation when<br />

polarization is perpendicular (S, ⊥) to the plane common to the optical axes<br />

of the transmitting <strong>and</strong> the receiving optics.<br />

7-82 <strong>BSA</strong> <strong>Flow</strong> <strong>Software</strong>: Reference guide

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