Radiative Transfer - Solutions To The Equation of Radiative Transfer

Solutions To The Equation of Radiative Transfer

Solutions to the equation of radiative transfer form an enormous body of work. The differences however, are essentially due to the various forms for the emission and absorption coefficients. If scattering is ignored, then a general solution in terms of the emission and absorption coefficients may be written:

I_\nu(s)=I_\nu(s_0)e^{-\tau_\nu(s_0,s)}+\int_{s_0}^s j_\nu(s')
e^{-\tau_\nu(s',s)}\,ds'

where is the optical depth of the medium between positions and :

Read more about this topic:  Radiative Transfer

Famous quotes containing the words solutions to the, solutions to, solutions, equation and/or transfer:

    Those great ideas which come to you in your sleep just before you awake in morning, those solutions to the world’s problems which, in the light of day, turn out to be duds of the puniest order, couldn’t they be put to some use, after all?
    Robert Benchley (1889–1945)

    Those great ideas which come to you in your sleep just before you awake in morning, those solutions to the world’s problems which, in the light of day, turn out to be duds of the puniest order, couldn’t they be put to some use, after all?
    Robert Benchley (1889–1945)

    Science fiction writers foresee the inevitable, and although problems and catastrophes may be inevitable, solutions are not.
    Isaac Asimov (1920–1992)

    A nation fights well in proportion to the amount of men and materials it has. And the other equation is that the individual soldier in that army is a more effective soldier the poorer his standard of living has been in the past.
    Norman Mailer (b. 1923)

    I have proceeded ... to prevent the lapse from ... the point of blending between wakefulness and sleep.... Not ... that I can render the point more than a point—but that I can startle myself ... into wakefulness—and thus transfer the point ... into the realm of Memory—convey its impressions,... to a situation where ... I can survey them with the eye of analysis.
    Edgar Allan Poe (1809–1849)