*Alan Corney*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199211456
- eISBN:
- 9780191705915
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199211456.003.0010
- Subject:
- Physics, Atomic, Laser, and Optical Physics

This chapter derives the equation of radiative transfer for an excited gas sample. The terms source function and optical thickness are also defined, and the effects of self absorption are considered. ...
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This chapter derives the equation of radiative transfer for an excited gas sample. The terms source function and optical thickness are also defined, and the effects of self absorption are considered. The formation of absorption lines is explained and measurements of the product of atomic density, oscillator strength, and sample length are discussed. Applications to the measurement of the abundance of chemical elements in stellar and terrestrial sources are outlined.Less

This chapter derives the equation of radiative transfer for an excited gas sample. The terms source function and optical thickness are also defined, and the effects of self absorption are considered. The formation of absorption lines is explained and measurements of the product of atomic density, oscillator strength, and sample length are discussed. Applications to the measurement of the abundance of chemical elements in stellar and terrestrial sources are outlined.

*Hans Ringström*

- Published in print:
- 2013
- Published Online:
- September 2013
- ISBN:
- 9780199680290
- eISBN:
- 9780191760235
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199680290.003.0029
- Subject:
- Mathematics, Mathematical Physics, Geometry / Topology

In Chapter 29, we take the first steps towards proving future global nonlinear stability of spatially locally homogeneous solutions. We choose gauge source functions, as well as corrections, define ...
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In Chapter 29, we take the first steps towards proving future global nonlinear stability of spatially locally homogeneous solutions. We choose gauge source functions, as well as corrections, define the basic energies and formulate the relevant bootstrap assumptions. Moreover, we describe ways of efficiently estimating the nonlinear terms in the equations.Less

In Chapter 29, we take the first steps towards proving future global nonlinear stability of spatially locally homogeneous solutions. We choose gauge source functions, as well as corrections, define the basic energies and formulate the relevant bootstrap assumptions. Moreover, we describe ways of efficiently estimating the nonlinear terms in the equations.

*Kelly Chance and Randall V. Martin*

- Published in print:
- 2017
- Published Online:
- May 2017
- ISBN:
- 9780199662104
- eISBN:
- 9780191748370
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199662104.003.0009
- Subject:
- Physics, Geophysics, Atmospheric and Environmental Physics

Basic concepts and definitions of radiative transfer modeling are introduced. The applicability of single scattering to aerosol retrievals is demonstrated. A two-stream formulation of radiative ...
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Basic concepts and definitions of radiative transfer modeling are introduced. The applicability of single scattering to aerosol retrievals is demonstrated. A two-stream formulation of radiative transfer is introduced. The two streams, upwelling and downwelling radiation, are selected to angularly represent average atmospheric properties: Relatively simple, two-stream calculations form the basis for much practical calculation, particularly of hemispherical fluxes in stratified atmospheres. Following this development, the most usual method for replacing the general integrodifferential equations obtained when setting up a scattering scenario by a system of linear equations is demonstrated.Less

Basic concepts and definitions of radiative transfer modeling are introduced. The applicability of single scattering to aerosol retrievals is demonstrated. A two-stream formulation of radiative transfer is introduced. The two streams, upwelling and downwelling radiation, are selected to angularly represent average atmospheric properties: Relatively simple, two-stream calculations form the basis for much practical calculation, particularly of hemispherical fluxes in stratified atmospheres. Following this development, the most usual method for replacing the general integrodifferential equations obtained when setting up a scattering scenario by a system of linear equations is demonstrated.