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Transient/time-dependent radiative transfer in a two-dimensional scattering medium considering the polarization
Optics Express
|August 10, 2017
Summary
This study presents a new numerical method, the discontinuous finite element method (DFEM), to solve transient radiative transfer problems in scattering media. The method accurately models time-dependent polarized light behavior in complex scenarios.
Area of Science:
- Computational physics
- Radiative transfer theory
- Numerical methods
Background:
- Radiative transfer is crucial in many fields, including atmospheric science and material optics.
- Accurate modeling of transient, polarized radiative transfer in scattering media remains a computational challenge.
- Existing methods may struggle with complex geometries and time-dependent phenomena.
Purpose of the Study:
- To develop and validate a novel numerical approach for transient radiative transfer.
- To incorporate polarization effects into time-dependent radiative transfer simulations.
- To analyze polarized radiative transfer in scattering media under various conditions.
Main Methods:
- Discretization of the transient vector radiative transfer equation using the discontinuous finite element method (DFEM).
- Second-order central difference scheme for time discretization.
- Non-overlapping quadrilateral elements for spatial discretization.
- Verification against steady-state solutions for polarized radiative transfer.
Main Results:
- The transient DFEM model accurately captures time-resolved Stokes vector components.
- Successful simulation of polarized radiative transfer in a 2D rectangular enclosure.
- Analysis of transient polarized radiative transfer for external beam and emitting media.
Conclusions:
- The transient DFEM is a robust and accurate method for solving time-dependent polarized radiative transfer problems.
- The model provides valuable insights into the dynamic behavior of light in scattering media.
- This approach can be extended to more complex physical systems and geometries.
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