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This research introduces the concept of reaction in electromagnetic theory to facilitate boundary value problem formulation.

Reaction Concept in Electromagnetic Theory

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Randomized trial illustrates scattering by dielectric body, suggesting a simpler approach to boundary value problems.

This research introduces the concept of reaction in electromagnetic theory to facilitate boundary value problem formulation.
Defined a new observable called reaction to simplify formulations.
Developed formulas for scattering coefficients, transmission coefficients, and aperture impedances using the reaction concept.
Demonstrated the approach using scattering by a dielectric body as an example.
Formulas derived from the reaction concept exhibit stationary characteristics.
The physical approach provides a more general solution than traditional variational techniques.
Results are more straightforward and can reveal information not usually obtained through variational methods.

V. Rumsey (1954) studied this question.

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