Matches in SemOpenAlex for { <https://semopenalex.org/work/W4318195890> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W4318195890 endingPage "180" @default.
- W4318195890 startingPage "173" @default.
- W4318195890 abstract "Abstract This manuscript presents a short route to justify the widely used Monte Carlo Radiative Transfer (MCRT) algorithm straight from the Radiative Transfer Equation (RTE). In this regard, this paper starts deriving a probability measure obtained from the integral formulation of the RTE under a unidirectional point source in an infinite domain. This derivation only requires the analytical integration of the first two terms of a perturbation expansion. Although derivations have been devised to clarify the relationship between the MCRT and the RTE, they tend to be rather long and elaborate. Considering how simple it is to justify the MCRT from a loose probabilistic interpretation of the photon’s physical propagation process, the decay in popularity of former approaches relating MCRT to the RTE is entirely understandable. Unfortunately, all of this has given the false impression that MCRT and the RTE are not that closely related, to the point that recent works have explicitly stated that no direct link exists between them. This work presents a simpler route demonstrating how the MCRT algorithm emerges to statistically sample the RTE explicitly through Markov chains, further clarifying the method’s foundations. Although compact, the derivation proposed in this work does not skip any fundamental step, preserving mathematical rigor while giving specific expressions and functions. Thus, this derivation can help devise efficient ways to statistically sample the RTE for different scenarios or when coupling the MCRT method with other methods traditionally grounded in the RTE, such as the Spherical Harmonics and Discrete Ordinates methods." @default.
- W4318195890 created "2023-01-27" @default.
- W4318195890 creator A5014670833 @default.
- W4318195890 creator A5047482551 @default.
- W4318195890 creator A5071327240 @default.
- W4318195890 date "2023-01-27" @default.
- W4318195890 modified "2023-09-30" @default.
- W4318195890 title "Linking the Monte Carlo radiative transfer algorithm to the radiative transfer equation" @default.
- W4318195890 cites W1986859383 @default.
- W4318195890 cites W1988609985 @default.
- W4318195890 cites W1990464317 @default.
- W4318195890 cites W2010741074 @default.
- W4318195890 cites W2012434538 @default.
- W4318195890 cites W2018579189 @default.
- W4318195890 cites W2022813750 @default.
- W4318195890 cites W2024729478 @default.
- W4318195890 cites W2040427221 @default.
- W4318195890 cites W2052348811 @default.
- W4318195890 cites W2079217510 @default.
- W4318195890 cites W2085915557 @default.
- W4318195890 cites W2096259608 @default.
- W4318195890 cites W2097683070 @default.
- W4318195890 cites W2112417612 @default.
- W4318195890 cites W2143880386 @default.
- W4318195890 cites W2159388053 @default.
- W4318195890 cites W2292162435 @default.
- W4318195890 cites W2586138158 @default.
- W4318195890 cites W2586989855 @default.
- W4318195890 cites W2992942991 @default.
- W4318195890 cites W3046375496 @default.
- W4318195890 cites W3046949404 @default.
- W4318195890 cites W3088109699 @default.
- W4318195890 cites W3096586191 @default.
- W4318195890 cites W3101169937 @default.
- W4318195890 cites W4238196042 @default.
- W4318195890 cites W4254252779 @default.
- W4318195890 doi "https://doi.org/10.1515/mcma-2023-2001" @default.
- W4318195890 hasPublicationYear "2023" @default.
- W4318195890 type Work @default.
- W4318195890 citedByCount "0" @default.
- W4318195890 crossrefType "journal-article" @default.
- W4318195890 hasAuthorship W4318195890A5014670833 @default.
- W4318195890 hasAuthorship W4318195890A5047482551 @default.
- W4318195890 hasAuthorship W4318195890A5071327240 @default.
- W4318195890 hasBestOaLocation W43181958901 @default.
- W4318195890 hasConcept C105795698 @default.
- W4318195890 hasConcept C11413529 @default.
- W4318195890 hasConcept C120665830 @default.
- W4318195890 hasConcept C121332964 @default.
- W4318195890 hasConcept C121864883 @default.
- W4318195890 hasConcept C126255220 @default.
- W4318195890 hasConcept C154945302 @default.
- W4318195890 hasConcept C19499675 @default.
- W4318195890 hasConcept C205711294 @default.
- W4318195890 hasConcept C28826006 @default.
- W4318195890 hasConcept C33923547 @default.
- W4318195890 hasConcept C41008148 @default.
- W4318195890 hasConcept C49937458 @default.
- W4318195890 hasConcept C74902906 @default.
- W4318195890 hasConcept C82744980 @default.
- W4318195890 hasConceptScore W4318195890C105795698 @default.
- W4318195890 hasConceptScore W4318195890C11413529 @default.
- W4318195890 hasConceptScore W4318195890C120665830 @default.
- W4318195890 hasConceptScore W4318195890C121332964 @default.
- W4318195890 hasConceptScore W4318195890C121864883 @default.
- W4318195890 hasConceptScore W4318195890C126255220 @default.
- W4318195890 hasConceptScore W4318195890C154945302 @default.
- W4318195890 hasConceptScore W4318195890C19499675 @default.
- W4318195890 hasConceptScore W4318195890C205711294 @default.
- W4318195890 hasConceptScore W4318195890C28826006 @default.
- W4318195890 hasConceptScore W4318195890C33923547 @default.
- W4318195890 hasConceptScore W4318195890C41008148 @default.
- W4318195890 hasConceptScore W4318195890C49937458 @default.
- W4318195890 hasConceptScore W4318195890C74902906 @default.
- W4318195890 hasConceptScore W4318195890C82744980 @default.
- W4318195890 hasFunder F4320335100 @default.
- W4318195890 hasIssue "2" @default.
- W4318195890 hasLocation W43181958901 @default.
- W4318195890 hasOpenAccess W4318195890 @default.
- W4318195890 hasPrimaryLocation W43181958901 @default.
- W4318195890 hasRelatedWork W1488808238 @default.
- W4318195890 hasRelatedWork W1584710297 @default.
- W4318195890 hasRelatedWork W1997239647 @default.
- W4318195890 hasRelatedWork W2002316239 @default.
- W4318195890 hasRelatedWork W2018630282 @default.
- W4318195890 hasRelatedWork W2121089427 @default.
- W4318195890 hasRelatedWork W3148931332 @default.
- W4318195890 hasRelatedWork W4245375258 @default.
- W4318195890 hasRelatedWork W4251707275 @default.
- W4318195890 hasRelatedWork W4290792893 @default.
- W4318195890 hasVolume "29" @default.
- W4318195890 isParatext "false" @default.
- W4318195890 isRetracted "false" @default.
- W4318195890 workType "article" @default.