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Internal absorption cross sections in a stratified sphere.
Applied Optics
|June 22, 2010
Summary
This study presents methods to calculate radiative properties of stratified spheres. The findings help estimate radiative heating and thermal emission in inhomogeneous particles.
Area of Science:
- Radiative transfer theory
- Atmospheric science
- Optical properties of aerosols
Background:
- Spherical particles with layered compositions are common in atmospheric and industrial applications.
- Understanding radiative transfer within these particles is crucial for climate modeling and material science.
- Accurate computation of optical properties is essential for predicting particle behavior.
Purpose of the Study:
- To develop series expressions for radiative properties of stratified spheres.
- To create a numerically stable algorithm for calculating internal radiative properties, scattering, and extinction.
- To enable direct estimation of radiative heating and thermal emission in inhomogeneous spherical particles.
Main Methods:
- Derivation of series expressions for absorption cross section and heat source function.
- Development of a numerically stable algorithm for stratified spheres with multiple layers.
- Computation of radiative properties including scattering and extinction.
Main Results:
- Presented series expressions for radially dependent absorption cross section.
- Developed an accurate algorithm for computing internal radiative properties and overall extinction.
- Enabled estimation of radiative heating intensity and thermal emission coefficient.
Conclusions:
- The developed methods allow for accurate estimation of radiative heat transfer in stratified spherical particles.
- The findings are applicable to understanding radiative interactions in inhomogeneous particles.
- Provides a tool for estimating thermal emission based on radial temperature distributions.
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