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Related Experiment Videos

Type of inversion problem in physics: an inverse emissivity problem.

T Wen1, D Ming, X Dai

  • 1Group of Quantum Statistics & Method of Theoretical Physics and Surface Physics Laboratory, Department of Physics, Fudan University, Shanghai 200433, People's Republic of China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
PubMed
Summary

Researchers solved an inverse emissivity problem to determine emissivity from radiated power. This new physics inversion method offers practical applications and numerical convenience.

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Area of Science:

  • Physics
  • Thermodynamics
  • Radiative Transfer

Background:

  • Inversion problems are crucial in physics with broad applications.
  • Existing methods for inverse problems have limitations.
  • The inverse emissivity problem is a novel challenge.

Purpose of the Study:

  • To introduce and solve a new type of inverse problem: the inverse emissivity problem.
  • To determine the emissivity function g(nu) from measured total radiated power J(T).
  • To develop a practical and numerically stable method for solving this problem.

Main Methods:

  • An exact analytical solution was derived for the inverse emissivity problem.
  • A unique existence theorem was established.
  • Techniques for mitigating divergences were developed.

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  • A Universal Function Set (UFS) was proposed for numerical implementation.

    • Main Results:

    • An exact solution for the inverse emissivity problem was successfully obtained.
    • The existence and uniqueness of the solution were proven.
    • Divergence issues were addressed effectively.
    • Numerical calculations using the UFS demonstrated high utility and convenience.

    Conclusions:

    • The inverse emissivity problem is solvable with an exact analytical solution.
    • The developed method, utilizing UFS, is practical for real-world applications.
    • This work provides a significant advancement in the field of inverse problems in physics.