Dielectric Sphere in Time Varying Field

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Discussion Overview

The discussion centers around the effects of a dielectric sphere in a spatially uniform time-varying electric field, specifically exploring the behavior of the field and the dielectric's response. The scope includes theoretical considerations and potential applications related to electromagnetic fields and materials.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant seeks resources on the interaction of dielectric spheres with time-varying fields.
  • Another suggests looking into Mie scattering and Rayleigh scattering as potential areas of study.
  • A participant questions whether the perturbation of a spatially uniform electric field, when a dielectric is introduced, will maintain the same frequency as the original field.
  • It is proposed that if the dielectric has a linear response, the resultant field will indeed have the same frequency, although exceptions may arise at high field strengths.

Areas of Agreement / Disagreement

There is no consensus on the initial inquiry regarding resources, and while there is agreement on the linear response assumption for dielectrics, the discussion remains open regarding the implications of high field strengths.

Contextual Notes

The discussion does not clarify the specific conditions under which the linear response of the dielectric holds, nor does it address the potential limitations of the proposed models in varying field strengths.

Apteronotus
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Hi,

I'm interested in how a dielectric sphere effects a (spatially) uniform time varying field.

I'm sure I'm not the first to inquire about this very topic. Could anyone direct me to a resource?

Thanks,
 
Physics news on Phys.org
Try searching on Mie scattering and Rayleigh scattering.
 
Thanks Marcusl.
Unfortunately I didn't find what I was looking for. any other ideas?
 
Changing E-field and Dielectrics

Hi,

If I have a spatially uniform field whose magnitude is changing in time (say [itex]\vec{E}=E_o\sin(\omega t)\vec{k}[/itex])
and I place a dielectric in this field, will the perturbation of the field have the same frequency?
That is, will the resultant field have a frequency [itex]\omega[/itex]?
 
Yes, assuming that the dielectric has a linear response. This is usually a good assumption unless the field strength is very high (for example, certain crystals are used to double or triple the frequency of intense laser light).
 

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