Dielectric surface in the field of an oscillating dipole

Main Question or Discussion Point

We have the equations available for computing the reflected and transmitted electric fields in the case when a plane wave is incident on a dielectric surface.

Now what I wish to do is compute similar reflected and transmitted components of the electric field due to an oscillating electric dipole. The equation for this type of electric field is available and is not of a plane wave nature. Now if we have a dielectric surface in this field, how do we go about computing the reflected and transmitted components?

I have referred to quite a few Electromagnetics textbooks but none seems to have a ready to use solution for this. Please direct me to a source that talks about this, if there is one.

Appreciate all the help.

Thanks

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gabbagabbahey
Homework Helper
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We have the equations available for computing the reflected and transmitted electric fields in the case when a plane wave is incident on a dielectric surface.

Now what I wish to do is compute similar reflected and transmitted components of the electric field due to an oscillating electric dipole. The equation for this type of electric field is available and is not of a plane wave nature. Now if we have a dielectric surface in this field, how do we go about computing the reflected and transmitted components?

I have referred to quite a few Electromagnetics textbooks but none seems to have a ready to use solution for this. Please direct me to a source that talks about this, if there is one.

Appreciate all the help.

Thanks
The easiest thing to do might be to use Fourier decomposition to represent the fields of the oscillating dipole as a superpostion of plane waves. After all, the whole point of studying plane waves is that any EM wave can be decomposed as a superpostion of them.

The easiest thing to do might be to use Fourier decomposition to represent the fields of the oscillating dipole as a superpostion of plane waves. After all, the whole point of studying plane waves is that any EM wave can be decomposed as a superpostion of them.
Thanks Gabbagabbahey. That sounds interesting and really promising, now that I think about it. I will look into it and post my experience with it here. Thanks for the clue though, this might be it.

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