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BSA Flow Software Installation and User's Guide - CSI

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Measuring volume<br />

proportional to particle velocity. If the beams are badly misaligned, you will<br />

probably not be able to get results at all, but if the beams are just slightly<br />

misaligned, the errors will be small, <strong>and</strong> you may not be aware of them.<br />

Measurements take place in the intersection between the two incident laser<br />

beams, <strong>and</strong> the measuring volume is defined as the volume within which the<br />

modulation depth is higher than e -2 times the peak core value. Due to the<br />

Gaussian intensity distribution in the beams the measuring volume is an<br />

ellipsoid as indicated in Figure 7-5.<br />

df<br />

θ<br />

δf<br />

Figure 7-5 Measuring volume.<br />

The size of the measuring volume can be calculated from the beam waist<br />

diameter df of the focused laser beams <strong>and</strong> the angle θ between them:<br />

d<br />

x<br />

d f<br />

d f<br />

= , d = d , d =<br />

(7-9)<br />

cos 2 2<br />

y f z<br />

( θ ) sin(<br />

θ )<br />

-where dx is the height, dy the width <strong>and</strong> dz the length of the measuring<br />

volume.<br />

Since beam intersection angles are usually small, dx <strong>and</strong> dy are often almost<br />

equal, <strong>and</strong> are sometimes referred to as the diameter of the measuring<br />

volume.<br />

You should be aware that the measuring volume dimensions in (7-9) are<br />

guidelines only. A very small seeding particle in the outskirts of the<br />

measuring volume may not reflect sufficient light to be detected. On the<br />

other h<strong>and</strong> a very large seeding particle may reflect so much light, that it is<br />

detected even if technically it is slightly outside the measuring volume as<br />

defined above.<br />

Other parameters such as system gain <strong>and</strong> threshold level influence the<br />

measurements similarly.<br />

From the height dx of the measuring volume <strong>and</strong> the fringe spacing δf, the<br />

total number of fringes can be calculated:<br />

N<br />

f<br />

dxd λ 2 d<br />

= = =<br />

δ cos θ sin θ λ<br />

f<br />

( 2) 2 ( 2)<br />

dz<br />

f f<br />

tan<br />

( θ )<br />

2 (7-10)<br />

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

dx

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