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BSA Flow Software Installation and User's Guide - CSI

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7.1.4 Principles of LDA<br />

Laser beam<br />

• High spatial <strong>and</strong> temporal resolution.<br />

The optics of the laser anemometer is able to define a very small<br />

measuring volume <strong>and</strong> thus provides good spatial resolution <strong>and</strong> allows<br />

local measurement of Eulerian velocity. The small measuring volume in<br />

combination with fast signal processing electronics also permits high<br />

b<strong>and</strong>width, time-resolved measurements of fluctuating velocities,<br />

providing excellent temporal resolution. Usually the temporal resolution<br />

is limited by the concentration of seeding rather than the measuring<br />

equipment itself.<br />

• Multi-component bi-directional measurements.<br />

Combinations of laser anemometer systems with component separation<br />

based on color, polarization or frequency shift allow one-, two- or threecomponent<br />

LDA systems to be put together based on common optical<br />

modules. Acousto-optical frequency shift allows measurement of<br />

reversing flow velocities.<br />

Together these properties of laser anemometers certainly constitute a very<br />

attractive description of a measuring instrument. As is often the case<br />

however, optimization of the performance of a system with respect to certain<br />

parameters may influence other performance characteristics negatively. As a<br />

matter of fact, some of the compromise decisions which have to be made<br />

when selecting <strong>and</strong> setting up a laser anemometer system can be traced back<br />

to the famous uncertainty principle of wave theory, which describes the<br />

impossibility of attaining complete information of both spatial <strong>and</strong> temporal<br />

location of a wave train simultaneously.<br />

In the following we describe the principles of Laser Doppler measurements<br />

<strong>and</strong> mention some of the consequences of the results of the theory on<br />

practical measurements.<br />

The special properties of the gas laser, making it so well suited for the<br />

measurement of many mechanical properties, are the spatial <strong>and</strong> temporal<br />

coherence. At all cross sections along the laser beam, the intensity has a<br />

Gaussian distribution, <strong>and</strong> the width of the beam is usually defined by the<br />

edge-intensity being 1/e 2 =13% of the core-intensity. At one point the cross<br />

section attains its smallest value, <strong>and</strong> the laser beam is uniquely described by<br />

the size <strong>and</strong> position of this so-called beam waist.<br />

7-2 <strong>BSA</strong> <strong>Flow</strong> <strong>Software</strong>: Reference guide

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