A multi-dimensional vector spherical harmonics discrete ordinate method for atmospheric radiative transfer

Doicu, Adrian; Efremenko, Dmitry; Trautmann, Thomas

doi:10.1016/j.jqsrt.2012.12.009

Cited by 27 publications

(20 citation statements)

References 19 publications

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“…Specifically, we adopt the vector Spherical Harmonics Discrete Ordinates Method (vSHDOM) [59,60], a popular computational 3D polarized RT model that, importantly here, is open source. We then formulate an inverse 3D RT problem for cloud tomography utilizing multi-view multi-spectral polarimetric images.…”

Section: Outlinementioning

confidence: 99%

Multi-View Polarimetric Scattering Cloud Tomography and Retrieval of Droplet Size

et al. 2020

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Tomography aims to recover a three-dimensional (3D) density map of a medium or an object. In medical imaging, it is extensively used for diagnostics via X-ray computed tomography (CT). We define and derive a tomography of cloud droplet distributions via passive remote sensing. We use multi-view polarimetric images to fit a 3D polarized radiative transfer (RT) forward model. Our motivation is 3D volumetric probing of vertically-developed convectively-driven clouds that are ill-served by current methods in operational passive remote sensing. Current techniques are based on strictly 1D RT modeling and applied to a single cloudy pixel, where cloud geometry defaults to that of a plane-parallel slab. Incident unpolarized sunlight, once scattered by cloud-droplets, changes its polarization state according to droplet size. Therefore, polarimetric measurements in the rainbow and glory angular regions can be used to infer the droplet size distribution. This work defines and derives a framework for a full 3D tomography of cloud droplets for both their mass concentration in space and their distribution across a range of sizes. This 3D retrieval of key microphysical properties is made tractable by our novel approach that involves a restructuring and differentiation of an open-source polarized 3D RT code to accommodate a special two-step optimization technique. Physically-realistic synthetic clouds are used to demonstrate the methodology with rigorous uncertainty quantification.

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Section: Outlinementioning

confidence: 99%

Multi-View Polarimetric Scattering Cloud Tomography and Retrieval of Droplet Size

et al. 2020

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“…The Community Radiative Transfer Model (CRTM, Kleespies et al, 2004) is used for both visualization and as a radiative forward operator in variational and related DA systems. The Spherical Discrete Harmonic Ordinate Method (SHDOM, Evans, 1998, Doicu et al, 2013 is another sophisticated radiative transfer model often used in fine scale research studies. SHDOM can produce imagery with good physical accuracy.…”

Section: Color Imagery and Spectral Radiance Forward Modelingmentioning

confidence: 99%

A Fast Visible Wavelength 3-D Radiative Transfer Procedure for NWP Visualization and Forward Modeling

Albers¹,

Saleeby

Kreidenweis

et al. 2019

Preprint

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Abstract. Solar radiation is the ultimate source of energy for all atmospheric motions. The visible wavelength range of solar radiation represents a significant contribution to the Earth’s energy budget and visible light is a vital indicator for the composition and thermodynamic processes of the atmosphere from the smallest weather to the largest climate scales. The accurate and fast description of light propagation in the atmosphere and its lower boundary environment is therefore of critical importance for the simulation and prediction of weather and climate. Simulated Weather Imagery (SWIm) is a new, fast and physically based visible wavelength 3-dimensional radiative transfer model. Given the location and intensity of the sources of light (natural or artificial) and the composition (e.g., clear or turbid air with aerosols, liquid or ice clouds, and precipitating rain, snow, or ice hydrometeors) of the atmosphere, it describes the propagation of light and produces visually and physically realistic hemispheric or 360° spherical panoramic color images of the atmosphere and the underlying terrain from any specified vantage point either on or above the Earth's surface. Applications of SWIm include the visualization of atmospheric and land surface conditions simulated or forecast by numerical weather or climate analysis and prediction systems for either scientific or lay audiences. Simulated SWim imagery can also be generated for and compared with observed camera images to (i) assess the fidelity, (ii) and improve the performance of numerical atmospheric and land surface models, as well as (iii) through their inclusion into an observational data assimilation scheme, improve the estimate of the state of atmospheric and land surface initial conditions for situational awareness and NWP forecast initialization applications.

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“…In the so-called long characteristic method, the integration is performed along the whole characteristic of the differential operator, while in the short characteristic method, the integration is performed along a segment of the characteristic located inside a cell. SHDOM has been modfied for use on multiple processors [8], and to include polarization [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Linearizations of the Spherical Harmonic Discrete Ordinate Method (SHDOM)

Doicu

Efremenko

2019

Atmosphere

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Linearizations of the spherical harmonic discrete ordinate method (SHDOM) by means of a forward and a forward-adjoint approach are presented. Essentially, SHDOM is specialized for derivative calculations and radiative transfer problems involving the delta-M approximation, the TMS correction, and the adaptive grid splitting, while practical formulas for computing the derivatives in the spherical harmonics space are derived. The accuracies and efficiencies of the proposed methods are analyzed for several test problems.

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A multi-dimensional vector spherical harmonics discrete ordinate method for atmospheric radiative transfer

Cited by 27 publications

References 19 publications

Multi-View Polarimetric Scattering Cloud Tomography and Retrieval of Droplet Size

Multi-View Polarimetric Scattering Cloud Tomography and Retrieval of Droplet Size

A Fast Visible Wavelength 3-D Radiative Transfer Procedure for NWP Visualization and Forward Modeling

Linearizations of the Spherical Harmonic Discrete Ordinate Method (SHDOM)

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