J. Otterman et al., MODELING ZENITH-ANGLE DEPENDENCE OF OUTGOING LONGWAVE RADIATION - IMPLICATION FOR FLUX MEASUREMENTS, Remote sensing of environment, 62(1), 1997, pp. 90-100
As shown in previous studies, outgoing-longwave radiation (OLR) can be
in error by similar to 7% when evaluated from directional measurement
s by applying time-averaged angular distribution models (ADMs) to acco
unt for the emission anisotropy. In order to develop an insight into t
he problem of assessing hemispheric emission from directional measurem
ents, we formulate the directional (monochromatic) greenhouse factor g
(d), specified as the ratio of a longwave radiance measured above the
atmosphere to that emitted from the surface at the same zenith angle t
heta(r). The explicit expressions for g(d) involve two atmospheric par
ameters, the optical thickness and the temperature-profile parameter.
Oar analysis indicates that under clear conditions a narrow-band radia
nce, if measured at theta(v) approximate to 57 degrees in atmospheric
windows (low values of optical thickness) and at theta(v) approximate
to 47 degrees in absorption bands, determines the hemispheric-average
radiance to within about 1%. For broad spectral bands, whether under c
lear or cloudy (solid cover, or ''randomly scattered'' clouds) conditi
ons, the same finding applies at theta(v) approximate to 50 degrees. T
hus, the zenith angle of equivalence theta(eq) varies by about +/-5 de
grees for different values of the optical thickness; it varies only sl
ightly for different temperature profiles (even though different tempe
rature profiles produce quite different patterns of radiance us. theta
(v), that is, different ADMs apply). Measurements at or near theta(eq)
therefore constitute direct assessment of OLR, without resorting to A
DMs to adjust for the variations of emission with view angle (anisotro
py). The existing OLR data should be reexamined accepting measurements
only within the range 45-60 degrees of view zenith angles. (C) Elsevi
er Science Inc., 1997.