Dielectric Sphere in Time Varying Field

Apteronotus

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,

marcusl

Try searching on Mie scattering and Rayleigh scattering.

Apteronotus

Thanks Marcusl.
Unfortunately I didn't find what I was looking for. any other ideas?

Apteronotus

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]?

marcusl

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).