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BSA Flow Software Installation and User's Guide - CSI

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Using side scatter (reflected light) is therefore uncomplicated when this is<br />

the only scattering mode, i.e. in the unshaded area corresponding to the<br />

range 1 < n rel < 2 at scattering angles above the critical angle (ϕ c1 ) for<br />

refraction (continuous line), <strong>and</strong> below the rainbow angle for second order<br />

refraction (dashed) <strong>and</strong> the critical angle for second order refraction<br />

(dashed). In addition, one should avoid the rainbow angle for second order<br />

refraction <strong>and</strong> the range close below this angle.<br />

For n rel < 1, scattering angles just below the critical angle for refraction<br />

(continuous line) should be chosen to avoid contributions from refracted<br />

light while maintaining light intensity.<br />

Also, when n rel > 2 you should choose scattering angles greater than ϕ c1<br />

<strong>and</strong>, when possible, use parallel polarization in conjunction with ϕ b2 to<br />

avoid contributions from second order refraction.<br />

Refraction Refraction exists at scattering angles below the critical angle (fill patterns<br />

comprising horizontal lines <strong>and</strong> horizontal-vertical cross-hatching, <strong>and</strong><br />

limited by continuous line). Using forward scatter is the best for n rel > 1.27,<br />

where the optimum scattering angle is ϕ b1 , the Brewster condition (dash-dot)<br />

in combination with parallel polarization to avoid contribution from reflected<br />

light.<br />

Second order Second order refraction exists for n rel > 1 at scattering angles above the<br />

refraction rainbow angle or above the critical angle for second order refraction. In the<br />

regions represented by light vertical lines, this mode has only a single<br />

contribution. Using back scatter is often complicated by the emitted light<br />

rays in a given direction emerging at different locations of the particle<br />

surface, thus giving two contributions (horizontal-vertical cross-hatching for<br />

n rel < 1, or medium vertical lines) or three contributions (heavy vertical<br />

lines).<br />

Third order<br />

Using light from such regions is likely to cause non-linearities in the<br />

diameter–phase relationship. To avoid this it is preferable to choose regions<br />

of the chart where the rays in a given direction stem from (or at least are<br />

dominated by) only one incident ray. This would be the case at scattering<br />

angles higher than the critical angle ϕ c2 , <strong>and</strong> at relative refractive index<br />

above about 1.5 below the rainbow angle. Most often the best results are<br />

obtained with perpendicular polarization to avoid the Brewster effect around<br />

ϕ b2 .<br />

For n rel < 1 this mode of scattering exists at all angles.<br />

In the range 0 to ϕ c2 = ϕ c0 (corresponding to the range of first order of<br />

diffraction), there are two contributions.<br />

Third order refraction (dotted area) normally carries little enough light<br />

<strong>BSA</strong> <strong>Flow</strong> <strong>Software</strong>:Reference guide 7-43

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