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144   Introduction to Space Sciences and Spacecraft Applications
                       RayZeigh scattering  (pictured as a peanut-shaped pattern in the figure) is
                       very direction-dependent and the scattering angles (denoted by a+ and a-)
                       are a function of both the sun’s zenith angle and the satellite look angle. The
                       total amount of  Rayleigh scattered energy received by  the remote sensor
                       may come from different sources: that scattered from direct illumination by
                       the sun (Ih+),  the reflection of this scattered energy off the surface of the
                       earth (I%-), and that portion of the sun’s energy that first reflects off the
                       surface of the earth and then gets Rayleigh scattered (1%).
                         Finally, the satellite sensor may receive energy directly from the earth’s
                       surface. The energy level of the radiation leaving the surface (whether the
                       earth’s  natural  temperature-related radiations  or  reflection  of  solar  or
                       man-induced signals) is denoted by I,,.

                       Transmissivity. Since the energy received by a remote sensor must prop-
                       agate through the atmosphere, this energy may be changed during transit
                       due to the different scattering modes and the absorption and reradiation of
                       energy by the components of the atmosphere, all of which are highly fre-
                       quency-dependent. The effect of the atmosphere on electromagnetic prop-
                       agation is modeled by a transmissivity factor denoted by ~(1). Figure 6-4
                       shows the transmissivity of radiation through the atmosphere as a function
                       of percent transmission versus wavelength.
                         The figure also indicates the atmospheric constituents responsible for
                       the poor transmittance of some frequencies through the absorption mech-
                       anism described earlier in Chapter 4 using a similar curve showing the
                       spectral  energy  propagation  through  the  atmosphere. Figure  6-4 only



                            100
                         w
                        U
                        Q
                         !=
                            60
                         2
                        k
                        B
                        6  20
                         e
                                   1   2   3   4   5   6   7   8   9   10   11   12   1314
                                                     WAVELENGTH (pm)
                       Figure 6-4. Atmospheric transmissivity. Some atmospheric constituents react
                       with certain wavelengths, absorbing some or all of the associated energy.
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