Mie scattering for sphere with constant dipole moment

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Discussion Overview

The discussion revolves around the theoretical understanding of Mie scattering for spheres that possess a constant dipole moment. Participants explore the implications of this scenario in relation to existing theories and models, particularly focusing on the differences from traditional dielectric spheres.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires about the existence of a theory for Mie scattering involving spheres with a constant dipole moment.
  • Another participant references a Wikipedia article suggesting that solutions exist, attributed to Ludvig Lorenz and others, but notes that these solutions are not detailed in the article.
  • A participant questions the relevance of constant dipole moments in the context of Mie scattering, suggesting that as long as the dipole moment is constant, it does not contribute to radiation.
  • Another participant proposes that a constant dipole moment might influence polarizability and the potential for induced dipole moments.
  • One participant acknowledges the need to understand polarizability in this context, implying its importance in the discussion.

Areas of Agreement / Disagreement

Participants express differing views on the significance of a constant dipole moment in Mie scattering, with no consensus reached on its impact or the existence of a comprehensive theory addressing this scenario.

Contextual Notes

Participants highlight the complexity of the problem, particularly regarding the conditions under which a constant dipole moment might affect scattering, and the need for further clarification on polarizability.

Gavroy
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Hi

does anybody here know whether there already exists a theory that describe Mie scattering for spheres that have a constant dipole moment?
 
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According to the Wikipedia article, there are solutions (Ludvig Lorenz and others), but they are not shown in the article.
 
where exactly? i only see this name when it comes to dielectric spheres, not dipoles?
 
I don't see how a constant dipole moment should change the results (compared to the dielectric sphere), as long as it is constant it does not contribute to radiation. If your particle has enough time to rotate, it becomes tricky, but I think that would require really weird intensity/frequency/particle combinations.
 
well, i thought that maybe the constant dipole moment has an effect on the polarizability and therefore on the possibility to have induced dipole moments.
 
Maybe, but you have to know polarizability anyway.
 

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