A metriplectic formulation of polarized radiative transfer

Vincent Bosboom; Michael Kraus; Matthias Schlottbom

doi:10.1088/1751-8121/aceae2

A metriplectic formulation of polarized radiative transfer

Vincent Bosboom^*, Michael Kraus, Matthias Schlottbom

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

49 Downloads (Pure)

Abstract

We present a metriplectic formulation of the radiative transfer equation with polarization and varying refractive index and show that this formulation automatically satisfies the first two laws of thermodynamics. In particular, the derived antisymmetric bracket enjoys the Jacobi identity. To obtain this formulation we suitably transform the equation and show that important physical quantities derived from the solution remain invariant under such a transformation.

Original language	English
Article number	345206
Number of pages	17
Journal	Journal of physics A: mathematical and theoretical
Volume	56
Issue number	34
Early online date	7 Aug 2023
DOIs	https://doi.org/10.1088/1751-8121/aceae2
Publication status	Published - 25 Aug 2023

Keywords

UT-Hybrid-D
structure-preservation
metriplectic formulation
polarization
radiative transfer

Access to Document

10.1088/1751-8121/aceae2Licence: CC BY

Bosboom_2023_J._Phys._A__Math._Theor._56_345206Final published version, 368 KBLicence: CC BY

1 Preprint

A metriplectic formulation of polarized radiative transfer
Bosboom, V., Kraus, M. & Schlottbom, M., 18 Jan 2023, ArXiv.org.
Research output: Working paper › Preprint › Academic

Open Access
File
40 Downloads (Pure)

Cite this

@article{1d1c68b912584786af9a60ae0ce90545,

title = "A metriplectic formulation of polarized radiative transfer",

abstract = "We present a metriplectic formulation of the radiative transfer equation with polarization and varying refractive index and show that this formulation automatically satisfies the first two laws of thermodynamics. In particular, the derived antisymmetric bracket enjoys the Jacobi identity. To obtain this formulation we suitably transform the equation and show that important physical quantities derived from the solution remain invariant under such a transformation.",

keywords = "UT-Hybrid-D, structure-preservation, metriplectic formulation, polarization, radiative transfer",

author = "Vincent Bosboom and Michael Kraus and Matthias Schlottbom",

note = "Funding Information: V B and M S acknowledge support by the Dutch Research Council (NWO) via the Mathematics Clusters Grant No. 613.009.133. Publisher Copyright: {\textcopyright} 2023 The Author(s). Published by IOP Publishing Ltd.",

year = "2023",

month = aug,

day = "25",

doi = "10.1088/1751-8121/aceae2",

language = "English",

volume = "56",

journal = "Journal of physics A: mathematical and theoretical",

issn = "1751-8113",

publisher = "Institute of Physics (IOP)",

number = "34",

}

TY - JOUR

T1 - A metriplectic formulation of polarized radiative transfer

AU - Bosboom, Vincent

AU - Kraus, Michael

AU - Schlottbom, Matthias

N1 - Funding Information: V B and M S acknowledge support by the Dutch Research Council (NWO) via the Mathematics Clusters Grant No. 613.009.133. Publisher Copyright: © 2023 The Author(s). Published by IOP Publishing Ltd.

PY - 2023/8/25

Y1 - 2023/8/25

N2 - We present a metriplectic formulation of the radiative transfer equation with polarization and varying refractive index and show that this formulation automatically satisfies the first two laws of thermodynamics. In particular, the derived antisymmetric bracket enjoys the Jacobi identity. To obtain this formulation we suitably transform the equation and show that important physical quantities derived from the solution remain invariant under such a transformation.

AB - We present a metriplectic formulation of the radiative transfer equation with polarization and varying refractive index and show that this formulation automatically satisfies the first two laws of thermodynamics. In particular, the derived antisymmetric bracket enjoys the Jacobi identity. To obtain this formulation we suitably transform the equation and show that important physical quantities derived from the solution remain invariant under such a transformation.

KW - UT-Hybrid-D

KW - structure-preservation

KW - metriplectic formulation

KW - polarization

KW - radiative transfer

U2 - 10.1088/1751-8121/aceae2

DO - 10.1088/1751-8121/aceae2

M3 - Article

SN - 1751-8113

VL - 56

JO - Journal of physics A: mathematical and theoretical

JF - Journal of physics A: mathematical and theoretical

IS - 34

M1 - 345206

ER -

A metriplectic formulation of polarized radiative transfer

Abstract

Keywords

Access to Document

Fingerprint

Research output

A metriplectic formulation of polarized radiative transfer

Cite this