# Computer Modeling Laboratory 7

Written report due: 30 October

Passive microwave remote sensing: retrievals of total precipitable water and cloud liquid water

RELATED MATERIALS:
Lecture 11

Examples of microwave transmission in different atmospheric conditions.

Assume that you perform ground-based measurements with an upward-looking microwave radiometer with two channels: 23.8 GHz and 31.4 GHz. Consider that absorption by O2 results in optical depths of 0.02 and 0.03 in these channels. Water vapor absorption coefficients are kω are 0.0052 m2/kg and 0.0021 m2/kg, and liquid water (cloud drops) absorption coefficients are 0.087 m2/kg and 0.15 m2/kg. Consider a mean atmospheric temperature T=280K.

1. What brightness temperature Tb should each channel observe in a perfectly dry atmosphere (i.e., no water vapor or clouds)?
2. Repeat your calculations for total water vapor path amount (i.e., total precipitable water) of 60 kg/m2. Consider cloud-free conditions
3. Repeat your calculations again, this time assuming cloud liquid water path of 0.3 kg/m2, which is typical of a fairly thick nonprecipitating stratocumulus clouds.
4. Derive a retrieval algorithm for the estimation of total water vapor path amount. Your final algorithm should have the form u= a1*log(T-Tb,1) + a2*log(T- Tb,2)+a3. Need to calculate coefficients a1, a2, and a3.

The NOAA MSPPS (Microwave Surface and Precipitation Products System) project is dedicated to the retrieval of operational surface and precipitation products (including total precipitable water (TPW) and cloud liquid water (CLW)) using a passive microwave sensor AMSU on board of NOAA's polar-orbiting satellites.

A retrieval algorithm for TPW and CLW is described by Grody et al. (2001). Also, a brief description of the algorithms for all retrieved products is available at MSPPS website (see under Algorithms).

Under Products. Select Yesterday and NOAA15 satellite.

Under AMSU-A Products, click on TWP and CLW to get images.