By R. M. Goody, Y. L. Yung
An entire revision of Goody's vintage 1964 paintings, this quantity bargains a scientific dialogue of atmospheric radiation approaches that this day are on the middle of globally research and problem. It offers with the ways that incident sun radiation is remodeled into scattered and thermal radiation, and the thermodynamic results for the Earth's gaseous envelope, settling on features of the interplay among radiation and atmospheric motions because the crucial subject for atmospheric radiation stories. As an entire remedy of actual and mathematical foundations, the textual content assumes no previous wisdom of atmospheric physics. The theoretical dialogue is systematic, and will hence be utilized with minor extension to any planetary surroundings.
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Extra info for Atmospheric Radiation: Theoretical Basis
95) yields for - 1 ^ ^ < 0 . 99) are valid for 0 =£ T ^ TI . 99) can be employed in the form given. 3), and if the source function is isotropic. Isotropy of Jv(t) enables us to perform angular integrations in terms of exponential integrals of order n (see Appendix 6), From Fig. 8, an element of solid angle is, and the angular integration runs from § = +1 to § = 0 in the positive hemisphere and £ = 0to|; = — l i n the negative hemisphere. 9) can now be written FIG. 8. Evaluation of the flux.
For atmospheric pressures between these two values, the water vapor rotation band would pose a formidable problem were it not for photochemical decomposition. A pressure of 10~3 dyne cm~2 corresponds to a level of about 150 km and few water vapor molecules exist above this level. Planck's source function is a good approximation for all levels at which water vapor is important. 5. 4 are often used in atmospheric calculations. However, the level populations n(u) and «(/) can be influenced by radiative and collisional transitions to and from other states, and involving other molecules; these possibilities were generally indicated by the level k in Fig.
4) is the transformation law for the components of the vector 18 ATMOSPHERIC RADIATION The sun's disk subtends, on the average, an angle of 32' at the earth's surface; for most practical purposes sunlight can be regarded as a parallel beam of radiation. The above definition of intensity is unnecessarily general for this case. Let us suppose that the sun's direction is that of the vector s®, and let its disk subtend a solid angle dco& at the earth. For unmodified solar radiation, IV(P, s) is only nonzero if s is very close to s©.