A concise and accurate solution to Chandrasekhar’s basic problem in radiative transfer

Siewert, C. E.

doi:10.1016/s0022-4073(98)00144-7

Cited by 91 publications

(55 citation statements)

References 4 publications

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“…Values for g(k), β (k), and ξ 0 (k) are calculated and tabulated from accurately calculated multiplescattering radiances for a small set of k values in k space. A scalar radiative transfer code based on the discrete ordinate method (Siewert, 2000) is used to calculate the accurate multiple-scattering radiances.…”

Section: Jacobianmentioning

confidence: 99%

Retrieval algorithm for CO2 and CH4 column abundances from short-wavelength infrared spectral observations by the Greenhouse gases observing satellite

et al. 2011

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Abstract. The Greenhouse gases Observing SATellite (GOSAT) was launched on 23 January 2009 to monitor the global distributions of carbon dioxide and methane from space. It has operated continuously since then. Here, we describe a retrieval algorithm for column abundances of these gases from the short-wavelength infrared spectra obtained by the Thermal And Near infrared Sensor for carbon Observation-Fourier Transform Spectrometer (TANSO-FTS). The algorithm consists of three steps. First, cloud-free observational scenes are selected by several cloud-detection methods. Then, column abundances of carbon dioxide and methane are retrieved based on the optimal estimation method. Finally, the retrieval quality is examined to exclude low-quality and/or aerosol-contaminated results. Most of the retrieval random errors come from instrumental noise. The interferences due to auxiliary parameters retrieved simultaneously with gas abundances are small. The evaluated precisions of the retrieved column abundances for single observations are less than 1% in most cases. The interhemispherical differences and temporal variation patterns of the retrieved column abundances show features similar to those of an atmospheric transport model.

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Section: Jacobianmentioning

confidence: 99%

Retrieval algorithm for CO2 and CH4 column abundances from short-wavelength infrared spectral observations by the Greenhouse gases observing satellite

et al. 2011

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“…In this section, we present a summary of an improved version of the analytical discrete-ordinates method that has been the subject of some recent works (Barichello and Siewert, 1999;Barichello et al, 2000;Chalhoub and Garcia, 2000;Siewert, 2000). In particular, the method incorporates some recently developed techniques for finding particular solutions (Barichello et al, 2000;Siewert, 2000) and dummy-node inclusion (Chalhoub and Garcia, 2000) as its angular interpolation technique.…”

Section: The As N Methods (Peesna Computational Code)mentioning

confidence: 99%

“…In particular, the method incorporates some recently developed techniques for finding particular solutions (Barichello et al, 2000;Siewert, 2000) and dummy-node inclusion (Chalhoub and Garcia, 2000) as its angular interpolation technique. Note that we only present here a simplified version for treating the type of problems described in the test problem section.…”

Section: The As N Methods (Peesna Computational Code)mentioning

confidence: 99%

Evaluation of radiances generated by solving the radiative-transfer equation with different approaches

Chalhoub¹,

Velho²,

Neto³

2012

J. Braz. Soc. Mech. Sci. & Eng.

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“…To solve the above formulated BVPs we employ the Fourier analysis to separate the zenith and azimuthal dependence of the intensity and the discrete-ordinates technique [12,67,72,78] for the reduction of integro-differential equations to the system of ordinary differential equations. In particular, the expansion of the intensity and phase functions into Fourier series allows the BVP to be solved for each Fourier harmonic of the intensity independently which significantly reduces the total dimension of the problem.…”

Section: Solution Of Rte Including Inelastic Processesmentioning

confidence: 99%

“…The analytical representation of the general solution of a homogeneous equation is given in the framework of the discrete-ordinates method as follows [67,68]:…”

Section: Solution Of Rte Including Inelastic Processesmentioning

confidence: 99%

Radiative transfer modeling through terrestrial atmosphere and ocean accounting for inelastic processes: Software package SCIATRAN

Розанов

Dinter

Rozanov

et al. 2017

Journal of Quantitative Spectroscopy and Radiative Transfer

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a b s t r a c t SCIATRAN is a comprehensive software package which is designed to model radiative transfer processes in the terrestrial atmosphere and ocean in the spectral range from the ultraviolet to the thermal infrared (0.18-40 μm). It accounts for multiple scattering processes, polarization, thermal emission and oceanatmosphere coupling. The main goal of this paper is to present a recently developed version of SCIATRAN which takes into account accurately inelastic radiative processes in both the atmosphere and the ocean. In the scalar version of the coupled ocean-atmosphere radiative transfer solver presented by Rozanov et al. [61] we have implemented the simulation of the rotational Raman scattering, vibrational Raman scattering, chlorophyll and colored dissolved organic matter fluorescence.In this paper we discuss and explain the numerical methods used in SCIATRAN to solve the scalar radiative transfer equation including trans-spectral processes, and demonstrate how some selected radiative transfer problems are solved using the SCIATRAN package. In addition we present selected comparisons of SCIATRAN simulations with those published benchmark results, independent radiative transfer models, and various measurements from satellite, ground-based, and ship-borne instruments.The extended SCIATRAN software package along with a detailed User's Guide is made available for scientists and students, who are undertaking their own research typically at universities, via the web page of the Institute of Environmental Physics (IUP), University of Bremen: http://www.iup.physik.unibremen.de.

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A concise and accurate solution to Chandrasekhar’s basic problem in radiative transfer

Cited by 91 publications

References 4 publications

Retrieval algorithm for CO<sub>2</sub> and CH<sub>4</sub> column abundances from short-wavelength infrared spectral observations by the Greenhouse gases observing satellite

Retrieval algorithm for CO<sub>2</sub> and CH<sub>4</sub> column abundances from short-wavelength infrared spectral observations by the Greenhouse gases observing satellite

Evaluation of radiances generated by solving the radiative-transfer equation with different approaches

Radiative transfer modeling through terrestrial atmosphere and ocean accounting for inelastic processes: Software package SCIATRAN

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A concise and accurate solution to Chandrasekhar’s basic problem in radiative transfer

Cited by 91 publications

References 4 publications

Retrieval algorithm for CO&lt;sub&gt;2&lt;/sub&gt; and CH&lt;sub&gt;4&lt;/sub&gt; column abundances from short-wavelength infrared spectral observations by the Greenhouse gases observing satellite

Retrieval algorithm for CO&lt;sub&gt;2&lt;/sub&gt; and CH&lt;sub&gt;4&lt;/sub&gt; column abundances from short-wavelength infrared spectral observations by the Greenhouse gases observing satellite

Evaluation of radiances generated by solving the radiative-transfer equation with different approaches

Radiative transfer modeling through terrestrial atmosphere and ocean accounting for inelastic processes: Software package SCIATRAN

Contact Info

Product

Resources

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Retrieval algorithm for CO<sub>2</sub> and CH<sub>4</sub> column abundances from short-wavelength infrared spectral observations by the Greenhouse gases observing satellite

Retrieval algorithm for CO<sub>2</sub> and CH<sub>4</sub> column abundances from short-wavelength infrared spectral observations by the Greenhouse gases observing satellite