The Monte Carlo Methods in Atmospheric Optics

Marchuk, G. I.; Mikhailov, Gennadi A.; Nazaraliev, Magamedshafi A.; Darbinjan, Radzmik A.; Kargin, B. A.; Elepov, Boris S.

doi:10.1007/978-3-540-35237-2

Cited by 377 publications

(340 citation statements)

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“…Conventional atmospheric Monte Carlo [6] are usually coaxial with the source, focused at infinity, and observe symmetrical system. The camera aperture is not considered in the imaging process.…”

Section: High-fidelity Image Generationmentioning

confidence: 99%

High Fidelity Imaging Algorithm for the Undique Imaging Monte Carlo Simulator

Tremblay¹,

Roy

2016

EPJ Web of Conferences

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Section: High-fidelity Image Generationmentioning

confidence: 99%

High Fidelity Imaging Algorithm for the Undique Imaging Monte Carlo Simulator

Tremblay¹,

Roy

2016

EPJ Web of Conferences

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“…MC algorithms for radiative transport fall within the general class of Markov chain methods for the statistical simulation of photon collisions in scattering media (Cashwell & Everett 1959;Marchuk et al 1980). By using appropriate statistical estimators, MC algorithms can estimate the radiation within and emerging from a medium.…”

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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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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“…The model obtains reflectance values using the method of local estimates (e.g., Marchuk et al 1980). The simulated reflectances are then converted into photon counts detected by THOR using the method described in Appendix A.…”

Section: A Look-up Table Generationmentioning

confidence: 99%

THOR—Cloud Thickness from Offbeam Lidar Returns

Cahalan

McGill

Kolasinski

et al. 2005

Journal of Atmospheric and Oceanic Technology

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Conventional wisdom is that lidar pulses do not significantly penetrate clouds having optical thickness exceeding about z = 2, and that no returns are detectible from more than a shallow skin depth. Yet optically thicker clouds of z >> 2 reflect a larger fraction of visible photons, and account for much of Earth's global average albedo. As cloud layer thickness grows, an increasing fraction of reflected photons are scattered multiple times within the cloud, and return from a diffuse concentric halo that grows around the incident pulse, increasing in horizontal area with layer physical thickness. The reflected halo is largely undetected by narrow field-of-view (FoV) receivers commonly used in lidar applications. THOR -Thickness from Offbeam Returns -is an airborne wide-angle detection system with multiple FoVs, capable of observing the diffuse halo, detecting wide-angle signal from which physical thickness of optically thick clouds can be retrieved. In this paper we describe the THOR system, demonstrate that the halo signal is stronger for thicker clouds, and validate physical thickness retrievals for clouds having z > 20, from NASA P-3B flights over the Department of Energy/Atmospheric Radiation MeasurementBouthern Great Plains site, using the lidar, radar and other ancillary ground-based data. 2,

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The Monte Carlo Methods in Atmospheric Optics

Cited by 377 publications

References 0 publications

High Fidelity Imaging Algorithm for the Undique Imaging Monte Carlo Simulator

High Fidelity Imaging Algorithm for the Undique Imaging Monte Carlo Simulator

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

THOR—Cloud Thickness from Offbeam Lidar Returns

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