Chapter 7
Remote Measurement of the Surface
Temperature Field with the Automated
One-Channel IR-Radiometer
Abstract Basic formulas are considered for the surface emissivity and temperature
retrieval from the radiation observation. The sequential steps for the Practice
implementation are presented.
7.1 Concise Theory
The intensity of self heat radiation of the system “surface-atmosphere” is described
by the Eq. 8.6. Let’s repeat it here:
J
"
n ¼ e n B n; T s
½
ŠP
ðsÞ
n þ B n; T
a
n
Â
Ã
1 À P
ðsÞ
n
n
o
;
(7.1)
where
J
"
n is the intensity of self heat radiation at the wave number n;
e n is the surface emissivity at the wave number n;
B n; T s
½
Šis Planck’s function at the wave number n and temperature T s ;
P
ðsÞ
n is the transmission function of whole atmosphere at the wave number n;
T
a
n is the “effective temperature” of the atmosphere at the wave number n.
It is possible to assume P
ðsÞ
n % 1 considering that observations are in atmosphere
window and the distance between radiometer and surface is about 1 m. Then
J
"
n % e n B n; T s
½
Š:
(7.2)
The relation (7.2) might be used for the surface temperature T s retrieval after
substituting the expression of Planck’s function (2.1) if the radiometer records the
intensity J
"
n as such. Let’s remember the expression for the Planck’s function:
I. Melnikova et al., Remote Sensing of the Environment and Radiation Transfer,
DOI 10.1007/978-3-642-14899-6_7, # Springer-Verlag Berlin Heidelberg 2012
63