Three-dimensional polarized Monte Carlo atmospheric radiative transfer model (3DMCPOL): 3D effects on polarized visible reflectances of a cirrus cloud

Cornet, Céline; C-Labonnote, L.; Szczap, Frédéric

doi:10.1016/j.jqsrt.2009.06.013

Cited by 101 publications

(87 citation statements)

References 41 publications

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“…(19) is indeed similar in structure to the schemes utilised in some FMC algorithms (e.g. Bartel & Hielscher 2000;Bianchi et al 1996;Cornet et al 2010;Fischer et al 1994;Hopcraft et al 2000;Kastner 1966;Schmid 1992;Whitney 2011).…”

Section: The Classical Sampling Schemementioning

confidence: 71%

“…FMC algorithms easily account for the photon's polarisation state in the sampling of the photon propagation direction following a collision (e.g. Bartel & Hielscher 2000;Bianchi et al 1996;Cornet et al 2010;Fischer et al 1994;Hopcraft et al 2000;Kastner 1966;Schmid 1992;Whitney 2011). That is not immediately possible in BMC algorithms because the scattering events are treated in the reverse order that they actually occur.…”

Section: The Bmc Algorithmmentioning

confidence: 99%

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Pre-conditioned backward Monte Carlo solutions to radiative transport in planetary atmospheres

Muñoz

Mills

2014

A&A

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Context. The interpretation of polarised radiation emerging from a planetary atmosphere must rely on solutions to the vector radiative transport equation (VRTE). Monte Carlo integration of the VRTE is a valuable approach for its flexible treatment of complex viewing and/or illumination geometries, and it can intuitively incorporate elaborate physics. Aims. We present a novel pre-conditioned backward Monte Carlo (PBMC) algorithm for solving the VRTE and apply it to planetary atmospheres irradiated from above. As classical BMC methods, our PBMC algorithm builds the solution by simulating the photon trajectories from the detector towards the radiation source, i.e. in the reverse order of the actual photon displacements. Methods. We show that the neglect of polarisation in the sampling of photon propagation directions in classical BMC algorithms leads to unstable and biased solutions for conservative, optically-thick, strongly polarising media such as Rayleigh atmospheres. The numerical difficulty is avoided by pre-conditioning the scattering matrix with information from the scattering matrices of prior (in the BMC integration order) photon collisions. Pre-conditioning introduces a sense of history in the photon polarisation states through the simulated trajectories. Results. The PBMC algorithm is robust, and its accuracy is extensively demonstrated via comparisons with examples drawn from the literature for scattering in diverse media. Since the convergence rate for MC integration is independent of the integral's dimension, the scheme is a valuable option for estimating the disk-integrated signal of stellar radiation reflected from planets. Such a tool is relevant in the prospective investigation of exoplanetary phase curves. We lay out two frameworks for disk integration and, as an application, explore the impact of atmospheric stratification on planetary phase curves for large star-planet-observer phase angles. By construction, backward integration provides a better control than forward integration over the planet region contributing to the solution, and this presents a clear advantage when estimating the disk-integrated signal at moderate and large phase angles.

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Section: The Classical Sampling Schemementioning

confidence: 71%

Section: The Bmc Algorithmmentioning

confidence: 99%

Pre-conditioned backward Monte Carlo solutions to radiative transport in planetary atmospheres

Muñoz

Mills

2014

A&A

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“…We will now describe the polarized version, which can calculate the Stokes vector S = (I, Q, U, V) (Chandrasekhar, 1960) [24]. The applied technique is based on the -local estimation‖ MC and follows the technique that has been described in detail in a paper by Cornet et al (2010) [16]. There are two differences in the vector approach compared to the scalar one.…”

Section: Applied MC Techniquementioning

confidence: 99%

“…The first difference is related to the fact that the scattering azimuth angle of a photon now is not a uniformly distributed random value between 0° and 180° degrees but depends on the initial polarization state and the scattering zenith angle. To overcome this difficulty we applied an algorithm suggested by Cornet et al (2010) [16]. The second difficulty is related to the fact that the scattering plane rotates after each scattering so that it takes to perform a pair of rotations between the meridian and this planes.…”

Section: Applied MC Techniquementioning

confidence: 99%

“…It is a modification of author's scalar Monte Carlo model FLBLM (Fomin and Mazin, 1998) [12], which successfully passed intercomparison with other codes (Halthore et al, 2005), (Forster et al, 2011) and (Oreopoulos et al, 2012) [0][1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. For our vector model we have borrowed some algorithms from 3DMCpol [16] and other MC codes discussed in section 2.3. But in contrast to 3DMCpol, which is used to assess the 3-D radiative effects on polarized reflectance of clouds, FLBLM is suitable to assess the high-resolution spectral effects of the 1-D clouds and aerosols.…”

Section: Introductionmentioning

confidence: 99%

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A Polarized Atmospheric Radiative Transfer Model for Calculations of Spectra of the Stokes Parameters of Shortwave Radiation Based on the Line-by-Line and Monte Carlo Methods

Fomin

Falaleeva

2012

Atmosphere

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This paper presents a new version of radiative transfer model called the Fast Line-by-Line Model (FLBLM), which is based on the Line-by-Line (LbL) and Monte Carlo (MC) methods and rigorously treats particulate and molecular scattering alongside absorption. The advantage of this model consists in the use of the line-by-line model that allows for the computing of high-resolution spectra quite quickly. We have developed the model by taking into account the polarization state of light and carried out some validations by comparison against benchmark results. FLBLM calculates the Stokes parameters spectra of shortwave radiation in vertically inhomogeneous atmospheres. This update makes the model applicable for the assessment of cloud and aerosol influence on radiances as measured by the SW high-resolution polarization spectrometers. In sample results we demonstrate that the high-resolution spectra of the Stokes parameters contain more detailed information about clouds and aerosols than the medium-and low-resolution spectra wherein lines are not resolved. The presented model is rapid enough for many practical applications (e.g., validations) and might be useful especially for the remote sensing. FLBLM is suitable for development of the reliable technique for retrieval of optical and microphysical properties of clouds and aerosols from high-resolution satellites data.

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Effect of atmospheric refraction on radiative transfer in visible and near‐infrared band: Model development, validation, and applications

Gao

et al. 2016

JGR Atmospheres

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Refraction is an important factor influencing radiative transfer since it can modify the propagation trajectory and polarization states of lights; therefore, it is necessary to quantitively evaluate the effect of atmospheric refraction on radiative transfer process. To this end, a new atmospheric radiative transfer model including refraction process is proposed. The model accuracy is validated against benchmark results, literature results, and well‐tested radiative transfer models such as discrete coordinate method and RT3/PolRadtran. The impact of atmospheric refraction on both polarized radiance and fluxes is discussed for pure Rayleigh scattering atmosphere, atmosphere with aerosol, and cloud. The results show that atmospheric refraction has a significant influence on both the radiance and polarization states of diffuse light, where the relative change of the radiance of reflected light and transmitted light due to refraction can achieve 6.3% and 7.4% for Rayleigh scattering atmosphere, 7.2% and 7.8% for atmosphere with aerosol, and 6.2% and 6.8% for cloudy atmosphere, respectively. The relative change of the degree of polarization ranges from near zero in the horizon to 9.5% near neutral points. The angular distribution pattern of the relative change of the radiance for atmosphere with aerosol and cloud is very similar to that for pure Rayleigh scattering case, where its magnitude decreases gradually with the increasing of zenith angle for reflected light; but for transmitted light, the variation characteristics is opposite. The impact of refraction is gradually enhanced with the increasing of solar zenith angles and the optical depth of aerosol and cloud. As the wavelength of incident light increases, the impact declines rapidly for Rayleigh scattering medium. The relative change of the fluxes due to refraction is most notable for Middle Latitude Winter profile (about 8.2043% and 7.3225% for the transmitted and reflected light, respectively, at 0.35 µm). With increasing the optical depth of aerosol, the influence of refraction on the fluxes is gradually enhanced. For cloudy atmosphere, the relative changes of the fluxes due to refraction are not very sensitive to the variation of cloud optical depth and effective radius of cloud drops.

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Three-dimensional polarized Monte Carlo atmospheric radiative transfer model (3DMCPOL): 3D effects on polarized visible reflectances of a cirrus cloud

Cited by 101 publications

References 41 publications

Pre-conditioned backward Monte Carlo solutions to radiative transport in planetary atmospheres

Pre-conditioned backward Monte Carlo solutions to radiative transport in planetary atmospheres

A Polarized Atmospheric Radiative Transfer Model for Calculations of Spectra of the Stokes Parameters of Shortwave Radiation Based on the Line-by-Line and Monte Carlo Methods

Effect of atmospheric refraction on radiative transfer in visible and near‐infrared band: Model development, validation, and applications

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