The following iteration uses ranges of the regularization coefficient
0.0005–0.0015, and values of matrix S elements s ij ¼ 0.1, that gives a optimal ¼
0.0006, the mean square deviation 2.95
, that improve the result by 0.15
C.
The results on the display show that retrieved temperature profiles significantly
differ from the true one because we use only one value 0.1 instead of the correlation
matrix.
The method of maximum smoothness is recommended in case of a lack of the a
priori detailed information about temperature profiles (e.g. in the atmospheres of
other planets). The method of statistical regularization is more effective in the
Earth’s atmosphere where the rich a priori statistics is available.
The result after considering both method for the same profile and equal initial
parameters is the following:
The method of maximum smoothness gives a optimal ¼ 0.005, and the mean
square deviation 5.8
;
The method of statistical regularization provides the mean square deviation
5.47
.
It is seen that the method of statistical regularization provides somewhat better
exactness of temperature profile retrieval. Both methods give physically proved
solutions.
9.7.3 Sequential Steps of the Exercise Implementation
1. Prepare the table with the atmosphere aerologic sounding data.
2. Use file in the database with name “aer.dat”. To plot the initial temperature
profile in EXCEL.
3. To calculate the outgoing intensity with the program “RADNIMB.exe” in
six spectral channels corresponding to spectral intervals of the radiometer
«Nimbus». The following files in the directory Lab4 are needed for operating
program “RADNIMB.exe”:
– “nimbus. dat”;
– the file with aerological data: “aer.dat”.
The “RADNIMB” program operating create the file “nim.dat” in the directory
Lab4, which is necessary for operating programs “DZ_T_SR.exe” and “DZ_T_FU.
exe”. It is possible to use ready files “nim.dat”.
To plot profiles of the transmission function differential dP and the product dP *
B in EXCEL-editor.
To create the table of outgoing intensity for mean and true (aerological) temperature profiles, calculated with “RADNIMB.exe” program.
1. To prepare the auxiliary report with obtained results.
2. To retrieve the temperature profile with the program “DZ_T_SR.exe” using the
method of statistical regularization from “observations” (calculation with
96
9 The Thermal Remote Sounding of the Atmosphere
0.0005–0.0015, and values of matrix S elements s ij ¼ 0.1, that gives a optimal ¼
0.0006, the mean square deviation 2.95
, that improve the result by 0.15
C.
The results on the display show that retrieved temperature profiles significantly
differ from the true one because we use only one value 0.1 instead of the correlation
matrix.
The method of maximum smoothness is recommended in case of a lack of the a
priori detailed information about temperature profiles (e.g. in the atmospheres of
other planets). The method of statistical regularization is more effective in the
Earth’s atmosphere where the rich a priori statistics is available.
The result after considering both method for the same profile and equal initial
parameters is the following:
The method of maximum smoothness gives a optimal ¼ 0.005, and the mean
square deviation 5.8
;
The method of statistical regularization provides the mean square deviation
5.47
.
It is seen that the method of statistical regularization provides somewhat better
exactness of temperature profile retrieval. Both methods give physically proved
solutions.
9.7.3 Sequential Steps of the Exercise Implementation
1. Prepare the table with the atmosphere aerologic sounding data.
2. Use file in the database with name “aer.dat”. To plot the initial temperature
profile in EXCEL.
3. To calculate the outgoing intensity with the program “RADNIMB.exe” in
six spectral channels corresponding to spectral intervals of the radiometer
«Nimbus». The following files in the directory Lab4 are needed for operating
program “RADNIMB.exe”:
– “nimbus. dat”;
– the file with aerological data: “aer.dat”.
The “RADNIMB” program operating create the file “nim.dat” in the directory
Lab4, which is necessary for operating programs “DZ_T_SR.exe” and “DZ_T_FU.
exe”. It is possible to use ready files “nim.dat”.
To plot profiles of the transmission function differential dP and the product dP *
B in EXCEL-editor.
To create the table of outgoing intensity for mean and true (aerological) temperature profiles, calculated with “RADNIMB.exe” program.
1. To prepare the auxiliary report with obtained results.
2. To retrieve the temperature profile with the program “DZ_T_SR.exe” using the
method of statistical regularization from “observations” (calculation with
96
9 The Thermal Remote Sounding of the Atmosphere