Algorithm for solving the equation of radiative transfer in the frequency domain.

Area of Science:

• Computational physics
• Electromagnetics
• Radiative transfer theory

Background:

• The equation of radiative transfer (ERT) offers higher accuracy than diffusion equations for modeling light propagation.
• Existing frequency-domain ERT solutions are limited, hindering accurate simulations in complex scenarios.
• Developing robust numerical methods for heterogeneous media is crucial for advanced applications.

Purpose of the Study:

• To present a novel algorithm for solving the frequency-domain equation of radiative transfer (ERT).
• To enable accurate radiative transfer modeling in heterogeneous media of arbitrary shapes.
• To provide a much-needed computational tool for frequency-domain radiative transfer problems.

Main Methods:

• Discretization of the ERT using a combination of discrete-ordinate and finite-volume methods.
• Development of a frequency-domain solution algorithm.
• Implementation and testing through numerical simulations for heterogeneous media.

Main Results:

• Successful implementation of a frequency-domain ERT algorithm.
• Demonstration of the algorithm's capability to handle heterogeneous media of arbitrary shapes.
• Validation of the numerical approach through presented simulations.

Conclusions:

• The developed algorithm provides an accurate frequency-domain solution for the ERT.
• This work fills a gap in computational tools for frequency-domain radiative transfer.
• The method is suitable for complex heterogeneous media, advancing radiative transfer modeling.