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(OAD) Document for Ozone Mapping and Profiler Suite ... - NASA

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where<br />

<strong>OAD</strong> – OMPS TC EDR D37031<br />

Rev C5<br />

Page 17<br />

*<br />

R ( P)<br />

P<br />

I � Ia<br />

( I � I<br />

�<br />

meas � �<br />

T � Sb<br />

meas<br />

P P P<br />

P<br />

I a � I0<br />

� I1<br />

cos� � I 2 cos 2�<br />

2) Use Lagrange interpolation to determine R * <strong>for</strong> the given terrain pressure.<br />

3) Set the cloud fraction , f * , equal to 0.<br />

If It < Imeas < Ic:<br />

1) Calculate cloud fraction according to:<br />

I<br />

f * �<br />

I<br />

2) If there is snow or ice on the ground:<br />

�<br />

meas<br />

c<br />

� I<br />

� I<br />

a. Assume there are no clouds<br />

b. Calculate a reflectivity <strong>for</strong> the 1.0, 0.7, 0.4, <strong>and</strong> 0.1 pressure tables<br />

using<br />

( )<br />

*<br />

*<br />

* Imeas<br />

� Ia<br />

R �<br />

T � Sb<br />

Imeas<br />

� Ia<br />

c. Use Lagrange interpolation <strong>and</strong> the terrain pressure to get the terrain<br />

reflectivity<br />

If Imeas > Ic:<br />

1) Compute R* <strong>for</strong> the 1.0, 0.7, 0.4, <strong>and</strong> 0.1 atm tables:<br />

where<br />

R<br />

�<br />

*<br />

meas � �<br />

T � Sb<br />

meas<br />

t<br />

t<br />

a<br />

P<br />

a<br />

I � Ia<br />

( I � I )<br />

P P P<br />

P<br />

I � I � I � � I cos 2�<br />

2) Use Lagrange interpolation to obtain R*<br />

3) Set f* = 1.<br />

4) If snow or ice is present<br />

a<br />

0<br />

1<br />

cos 2<br />

a. Assume there are no clouds<br />

b. Calculate a reflectivity <strong>for</strong> the 1.0, 0.7, 0.4, <strong>and</strong> 0.1 pressure tables using<br />

R<br />

�<br />

*<br />

meas � �<br />

T � Sb<br />

meas<br />

)<br />

I � Ia<br />

( I � I )<br />

c) Use Lagrange interpolation <strong>and</strong> the terrain pressure to get the terrain<br />

reflectivity<br />

a

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