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Radiation from a homogeneous isothermal sphere.

G W Kattawar, M Eisner

|January 23, 2010

Summary

This summary is machine-generated.

This study calculates radiant power from spheres using Rytov

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Characterization of Thermal Transport in One-dimensional Solid Materials

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Published on: January 26, 2014

Area of Science:

Electromagnetic theory
Radiative transfer in spheres

Background:

Electromagnetic fluctuations theory provides a framework for understanding thermal radiation.
Previous models often had limitations in applicability to various sphere sizes and material properties.

Purpose of the Study:

To derive a general formula for radiant power emitted by a homogeneous isothermal sphere.
To validate the formula against established theories like Mie theory for absorption.

Main Methods:

Applied Rytov's theory of electromagnetic fluctuations.
Derived a formula for radiant power as a function of frequency.
Calculated emission coefficients and compared them with Mie theory absorption coefficients.

Main Results:

A universal formula for radiant power was obtained, applicable to all sphere radii, frequencies, and dielectric constants.
The emission coefficient derived from Rytov's theory was shown to be equal to the absorption coefficient from Mie theory.
Numerical results were presented for highly conductive spheres across various size parameters.

Conclusions:

Rytov's theory provides a comprehensive method for calculating spherical body radiation.
The equivalence of emission and absorption coefficients highlights a fundamental relationship in radiative properties.
The derived formula is practical for numerical analysis and applicable to diverse physical scenarios.