Super review of the wave vector, boundary conditions, transmission, reflection & refraction through mismatched material boundaries. Dr. Rumpf's lectures are clear and effective.

This lecture steps the student through some random topics in electromagnetics that will be important in order to understand the upcoming numerical methods. It is not a review of electromagnetics, just select topics that will be important.

I'm about to start grad school, and I was giddy at how beautifully the pictures explained refraction, TIR, phase matching, and evanescent waves. Fabulous.

@empossible1577

7 жыл бұрын

Thank you!!

Nice illustration of the phase matching at interfaces.

lol i just realized that polarization shapes are determined by the trace of the projection of the electromagnetic vector on a plane. Thanks, I never realized that i never understood it until you made me understand it. Rock on, sir! 🙌🏽🏆

@empossible1577

3 жыл бұрын

Thank you!!! I rock on everything!

@empossible1577

3 жыл бұрын

BTW, if you want an even better discussion of polarization, checkout Topic 6 and especially 6d here: empossible.net/academics/emp3302/

@ozzyfromspace

3 жыл бұрын

@@empossible1577 Your website looks so promising! I need to get better at CEM and you've written such excellent material on the subject. Thank you!

Awesome lectures, thanks for sharing these

@empossible1577

3 жыл бұрын

Thank you!

It looks like the notes are inconsistent with the lecture for the definition of aTE / aTM. If we want aTE and aTM to be pointing in the +y and +x directions respectively for normal incidence (as shown in the diagram in both the lectures and the notes), then we need to take k cross n for aTE, and aTE cross k for aTM. (y cross z is x).

thinking of circularly polarized E&M waves as linear E&M waves out of phase is easily one of the best mental models I have in CEM, and I have you to thank for that! It also explains elliptical polarization beautifully. Thank you 🙏🏽😭🎊

@empossible1577

3 жыл бұрын

Happy to help!!!

When you write the dispersion relation as ka^2 + kb^2 + kc^2 = n^2k0^2 (31:17), are we supposed to square them as complex numbers or is it the magnitude square? I mean is the equation supposed to be: |ka|^2 + |kb|^2 + |kc|^2 = n^2|k0|^2 ?

@empossible1577

8 жыл бұрын

+_jp88 I don't think you should include the absolute value operation because all of these quantities can be complex, except k0. This would happen if the material had loss making refrative index n complex. For the conversation about index ellipsoids, we are assuming that n is purely real (i.e. lossless materials).

@winnis88

8 жыл бұрын

+CEM Lectures Okay thank you. In that case the real and imaginary parts of the equation have to balance out separately.

@empossible1577

8 жыл бұрын

+_jp88 When you calculate magnitude, the real and imaginary parts mix so I am not sure I would think of it as two separate things. But you are thinking in the right direction.