Monte Carlo simulations of the diffuse backscattering Mueller matrix for highly scattering media

Bartel, Sebastian; Hielscher, Andreas H.

doi:10.1364/ao.39.001580

Cited by 207 publications

(117 citation statements)

References 14 publications

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“…Several groups have used Monte Carlo techniques to simulate the steady-state backscattering Mueller matrix of a turbid medium [10,11]. Whereas an indirect method utilizing the symmetry of the backscattering Mueller matrix was used in Ref.…”

Section: Methodsmentioning

confidence: 99%

Propagation of polarized light in turbid media: simulated animation sequences

Yao

Wang

2000

Opt. Express

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A time-resolved Monte Carlo technique was used to simulate the propagation of polarized light in turbid media. Calculated quantities include the reflection Mueller matrices, the transmission Mueller matrices, and the degree of polarization (DOP). The effects of the polarization state of the incident light and of the size of scatterers on the propagation of DOP were studied. Results are shown in animation sequences.

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Section: Methodsmentioning

confidence: 99%

Propagation of polarized light in turbid media: simulated animation sequences

Yao

Wang

2000

Opt. Express

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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: 72%

“…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%

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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“…Recently more quantitative approaches have been developed for Mie scatterers using Mueller matrices [2]. A rather good agreement has been found between the experimental shapes of the patterns and the theoretically predicted ones [2,3,4]. …”

mentioning

confidence: 71%

Geometric depolarization in patterns formed by backscattered light

et al. 2004

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We formulate a framework for the depolarization of linearly polarized backscattered light based on the concept of geometric phase, i.e Berry's phase. The predictions of this theory are applied to the patterns formed by backscattered light between crossed or parallel polarizers. This theory should be particularly adapted to the situation in which polarized light is scattered many times but predominantly in the forward direction. We apply these ideas to the patterns which we obtained experimentally with backscattered polarized light from a colloidal suspension. PACS numbers:The transport of light through human tissues is one of the most promising technique to detect in a noninvasive way for instance breast cancer. For medical imaging applications, it is important to extract the information contained not only in the intensity but also in the polarization of backscattered light. This is not easy in general due to the complexity of vector-wave multiple scattering. In this paper we study a simple experiment, in which polarized light is backscattered from a diffuse medium. In these conditions, one observes between crossed polarizers a fourfold symmetry pattern which was first interpreted qualitatively by Dogariu and Asakura [1]. Recently more quantitative approaches have been developed for Mie scatterers using Mueller matrices [2]. A rather good agreement has been found between the experimental shapes of the patterns and the theoretically predicted ones [2,3,4].

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Monte Carlo simulations of the diffuse backscattering Mueller matrix for highly scattering media

Cited by 207 publications

References 14 publications

Propagation of polarized light in turbid media: simulated animation sequences

Propagation of polarized light in turbid media: simulated animation sequences

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

Geometric depolarization in patterns formed by backscattered light

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