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Atmospheric RadiationTheoretical Basis$
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R. M. Goody and Y. L. Yung

Print publication date: 1989

Print ISBN-13: 9780195051346

Published to Oxford Scholarship Online: November 2020

DOI: 10.1093/oso/9780195051346.001.0001

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Theory of Radiative Transfer

Theory of Radiative Transfer

(p.16) 2 Theory of Radiative Transfer
Atmospheric Radiation

R. M. Goody

Y. L. Yung

Oxford University Press

In common with astrophysical usage the word intensity will denote specific intensity of radiation, i.e., the flux of energy in a given direction per second per unit frequency (or wavelength) range per unit solid angle per unit area perpendicular to the given direction. In Fig. 2.1 the point P is surrounded by a small element of area dπs, perpendicular to the direction of the unit vector s. From each point on dπs a cone of solid angle dωs is drawn about the s vector. The bundle of rays, originating on dπs, and contained within dωs, transports in time dt and in the frequency range v to v + dv, the energy . . . Ev = Iv(P,S) dπs dωs dv dt, (2.1). . . where Iv(P, s) is the specific intensity at the point P in the s-direction. If Iv is not a function of direction the intensity field is said to be isotropic ; if Iv is not a function of position the field is said to be homogeneous.

Keywords:   Absorption, Band intensity, Collisional rate, Diabatic heating, Emission, Gaussian quadrature, Heating rate, Induced emission, Kinetic energy

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