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On the dynamic toroidal multipoles from localized electric current distributions.

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Dynamic toroidal multipoles lack independent physical meaning for electromagnetic wave interactions. Non-radiative components cancel out, preventing separate measurement of toroidal radiation or coupling.

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Area of Science:

  • Electromagnetism
  • Theoretical Physics

Background:

  • Toroidal multipoles are a component of electromagnetic field expansions.
  • Understanding their independent physical significance is crucial for analyzing electromagnetic interactions.

Purpose of the Study:

  • To analyze the dynamic toroidal multipoles and their physical meaning in interactions with electromagnetic waves.
  • To investigate the role of splitting electromagnetic fields into electric and toroidal parts.

Main Methods:

  • Analytical derivation of multipolar expansions.
  • Analysis of non-radiative components in electric and toroidal parts.
  • Theoretical examination of electromagnetic wave coupling.

Main Results:

  • Dynamic toroidal multipoles do not possess independent physical meaning concerning electromagnetic wave interactions.
  • Splitting fields into electric and toroidal components introduces non-radiative parts.
  • These non-radiative components cancel each other, precluding separate determination of toroidal radiation or coupling.

Conclusions:

  • Toroidal radiation and independent toroidal electromagnetic coupling do not exist.
  • Toroidal multipoles represent higher-order terms in electric parity expansions, not independent radiative entities.