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Light Scattering

Light scattering is the measurement of particulates (dust/aerosol) in the air by shining light through sample air and measuring the deflected light (scattering). This light scattering allows us to measure the visibility of air (how far we can see) using the Beer-Lambert law.

Extinction Coefficients σext

Attenuation of light (that is, reduction in its intensity) is usually expressed using the Beer-Lambert law:

I = I0eext x

where:

I0 = initial light intensity,
I  = intensity after distance x,
x = distance,
σext = the attenuation, or extinction coefficient
(sometimes the symbol b is used instead of σext)

 

The relationship between extinction coefficient and visual range is expressed in Koschmieder’s Formula.

Lv = 3.912 / σext

where:

Lv = visual range,
σext = extinction coefficient

 The larger σext , the more rapidly the light is attenuated (ie reducing visibility).

Assumptions

Light may be attenuated either by scattering off objects or by absorption by objects. Thus the extinction coefficient σext may be broken down into a scattering coefficient σscat and an absorption coefficient σabs

σext = σscat + σabs.

Light attenuation equation

For light attenuation in the atmosphere, the objects responsible can be either gas molecules or airborne particles. The scattering and absorption coefficients may therefore be further broken down into

σscat = σsg + σsp

Scattering Coefficient

 σabs = σag + σap,

Absorption Coefficient

where the subscripts denote:

s: scattering
a: absorption
g: due to gas molecules
p: due to particulate matter

 

ssp, for example, is the extinction coefficient due to scattering from particulate matter. Scattering due to gas molecules (coefficient σsg) is also called ‘Rayleigh scattering’.

NO2 is the most significant gaseous absorber and soot the most significant particulate absorber. However, except in extremely high concentrations, the effects of absorption are negligible compared to the effects of scattering. Therefore, to a very good approximation,

σextσscat = σsg + σsp.

Relationship of Extinction coefficient with scattering Coefficient

It is σscat that the Ecotech Aurora 3000 measures directly. When the instrument performs a zero adjust in particle-free air (that is, where only Rayleigh scattering is present), the σsg component of σscat is subtracted leaving  σsp as the reported parameter.

Higher particulate concentrations mean more scattering, so σsp is a good measure of particulate pollution.

In urban situations σsp will be much greater than Rayleigh scattering (σsg). σsp is therefore also a good measure of atmospheric visibility.

 


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www.dust-sampler.com


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