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VIIRS Suspended Matter ATBD - Nasa

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D43315_D<br />

Page 8<br />

where V is the visibility in kilometers and C is the smoke concentration in g/m 3 . This<br />

approximate expression is accurate to about 50% and needs to be refined. The visibility is<br />

horizontal visibility and <strong>VIIRS</strong> is responding to vertical visibility, so there probably will be no<br />

one expression that is always applicable due to the complex structure associated with smoke<br />

plumes.<br />

Visibility can also be related to aerosol optical thickness. From Iqbal (1983) the relationship for<br />

low visibilities can be written as:<br />

V = 3.9449 / (/0.55 - 0.08498) (2)<br />

where and are the Angstrom coefficients, V is the visibility in kilometers, and 0.55 is the<br />

wavelength at which visibility is measured, namely 0.55 microns (or 550nm).<br />

The previous expression can be written in terms of the aerosol optical thickness at 550 nm (550)<br />

as follows:<br />

V = 3.9449 / (550 – 0.08498) (3)<br />

The first and third equations above can be combined to give the smoke concentration C as<br />

follows:<br />

C = 253.5 550 –21.5 (4)<br />

A plot of this relationship is shown in Figure 10:<br />

Smoke Concentration (ug/m^3)<br />

1800<br />

1600<br />

1400<br />

1200<br />

1000<br />

800<br />

600<br />

400<br />

200<br />

Smoke Concentration vs AOT at 550 nm<br />

0<br />

0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0<br />

AOT at 550 nm<br />

Figure 2. Smoke concentration (g/m 3 ) vs aerosol optical thickness at 550 nm.

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