+ Site Statistics
+ Search Articles
+ Subscribe to Site Feeds
Most Shared
PDF Full Text
+ PDF Full Text
Request PDF Full Text
+ Follow Us
Follow on Facebook
Follow on Twitter
Follow on LinkedIn
+ Translate
+ Recently Requested

Radiative transfer in the atmosphere-ocean system: the finite-element method

Radiative transfer in the atmosphere-ocean system: the finite-element method

Applied Optics 38(9): 1530-1542

The finite-element method has been applied to solving the radiative-transfer equation in a layered medium with a change in the refractive index, such as the atmosphere-ocean system. The physical processes that are included in the algorithm are multiple scattering, bottom-boundary bidirectional reflectivity, and refraction and reflection at the interface between the media with different refractive properties. The incident radiation is a parallel flux on the top boundary that is characteristic of illumination of the atmosphere by the Sun in the UV, visible, and near-IR regions of the electromagnetic spectrum. The necessary changes, compared with the case of a uniformly refracting layered medium, are described. An energy-conservation test has been performed on the model. The algorithm has also been validated through comparison with an equivalent backward Monte Carlo code and with data taken from the literature, and optimal agreement was shown. The results show that the model allows energy conservation independently of the adopted phase function, the number of grid points, and the relative refractive index. The radiative-transfer model can be applied to any other layered system with a change in the refractive index. The fortran code for this algorithm is documented and is available for applications.

(PDF emailed within 1 workday: $29.90)

Accession: 055345560

Download citation: RISBibTeXText

PMID: 18305777

Related references

Radiative transfer in an atmosphere-ocean system. Applied Optics 8(2): 455-466, 1969

Radiative transfer in nonuniformly refracting layered media: atmosphere-ocean system. Applied Optics 33(3): 431-442, 1994

Discrete-ordinated finite-element method for atmospheric radiative transfer and remote sensing. Applied Optics 24(1): 81-93, 1985

Analytical solution of radiative transfer in the coupled atmosphere-ocean system with a rough surface. Applied Optics 45(28): 7443-7455, 2006

Radiative transfer in an atmosphere-ocean system: an azimuthally dependent matrix-operator approach. Applied Optics 23(7): 1032-1032, 1984

A Parallel Adaptive Finite Element Method for the Simulation of Photon Migration with the Radiative-Transfer-Based Model. Communications in Numerical Methods in Engineering 25(6): 751-770, 2010

A vector radiative transfer model for coupled atmosphere and ocean systems based on successive order of scattering method. Optics Express 17(4): 2057-2079, 2009

Impulse response solution to the three-dimensional vector radiative transfer equation in atmosphere-ocean systems. I. Monte Carlo method. Applied Optics 47(8): 1037-1047, 2008

OSOAA: a vector radiative transfer model of coupled atmosphere-ocean system for a rough sea surface application to the estimates of the directional variations of the water leaving reflectance to better process multi-angular satellite sensors data over the ocean. Optics Express 23(21): 27829-27852, 2015

Finite element discrete ordinates method for radiative transfer in non rotationally invariant scattering media application to the leaf canopy problem. Journal of Quantitative Spectroscopy & Radiative Transfer 40(2): 147-156, 1988

Radiative transfer in the earth's atmosphere and ocean: influence of ocean waves. Applied Optics 14(8): 1924-1936, 1975

Impulse response solution to the three-dimensional vector radiative transfer equation in atmosphere-ocean systems. II. The hybrid matrix operator--Monte Carlo method. Applied Optics 47(8): 1063-1071, 2008

Radiative transfer model for the computation of radiance and polarization in an ocean-atmosphere system: polarization properties of suspended matter for remote sensing. Applied Optics 40(15): 2398-2416, 2008

Finite-element algorithm for radiative transfer in vertically inhomogeneous media: numerical scheme and applications. Applied Optics 34(36): 8460-8471, 1995

Radiative transfer in a plane layer of finite thickness The two-sided continuation method. Astrophysics 55(4): 565-580, 2012