Download Atmospheric Radiation: Theoretical Basis by R. M. Goody, Y. L. Yung PDF

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 strategies that at the present time are on the middle of globally examine and challenge. It offers with the ways that incident sunlight radiation is reworked into scattered and thermal radiation, and the thermodynamic results for the Earth's gaseous envelope, deciding on points of the interplay among radiation and atmospheric motions because the valuable subject for atmospheric radiation reports. As a whole remedy of actual and mathematical foundations, the textual content assumes no past wisdom of atmospheric physics. The theoretical dialogue is systematic, and will consequently be utilized with minor extension to any planetary surroundings.

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The important practical question is the extent to which the absorption coefficient and the source function can be changed from their equilibrium values by the action of the incident radiation. Since the discussion now involves disequilibrium states, we can no longer use thermodynamic arguments but, instead, we must employ a THEORY OF RADIATIVE TRANSFER 31 microscopic statistical model. In this section, we shall follow the consequences of this model to the point of understanding the conditions under which Kirchhoff s and Planck's laws fail.

We may, therefore, regard Planck's and Boltzmann's laws as interchangeable; conditions leading to one lead to the other, and vice versa. We shall go further and demonstrate that a one-to-one relationship exists between the source function and the state populations and, therefore, that our task is simply to calculate the state populations. Now, it is known that collisions acting alone will bring about a Boltzmann distribution and, consequently, a Planck source function. But, in a collisionless medium, radiation can bring about almost any population of energy levels and Planck's law need not be obeyed.

The energy density is Iv dca/c and the rate of gain of photons by the radiation field is [dlv(s)/ds] dca. 54) is because spontaneous emission is isotropic. Induced emission, on the other hand, is identical in all respects to the incident radiation and all induced photons fall within the solid angle dm. 17) we find, as matters of definition, that the absorption coefficient and source function are where the overbars again indicate an equilibrium state. 57) are rarely used without approximations. One approximation is acceptable for all atmospheric bands except for the water vapor rotation band.

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