Ok, so my prof decided to do this new marking scheme this year where we have a 20% project and a 50% final instead of a 70% final. Now this project is suppose to separate those who memorize formulas and plug and play and those who actually learn the material. The project mark is given based on how well you do in the class. For example, lets say everyone gets 0 and he bells it to 75, everyone will get 75. Lets say everyone gets 0 and i get 50, if he bells it to 75, i can get over 100.
Needless to say, this is a pretty difficult project. The first question isnt that bad. The second one is mediocre. The final question where you have to design a device that can turn a linearly polarized wave into circular polarized. mmm...Is that possible?
This is for people who have taken Electromagnetics before. I need your help in this. I know the majority of people here wont have a clue, but i think there are a couple ECE grads. Hopefully, you can help me out.
If you dont understand whats going on, please dont find it necessary to post.
Thanks
Part I
Derive the plane wave formulation for E and H field starting from Maxwell's equations in
homogeneous, isotropic, unbounded, lossless medium. State all your steps and
assumptions. Your answer should contain the following information.
(a) The physical origin of each of Maxwell’s equations. Provide a brief
description of the physical phenomenon (or experiment) that is best
summarized by each one of Maxwell’s equations whenever appropriate.
(B) Mathematical relationships that leads to the wave equations.
© Derivation leading up to the expression for instrinsic impedance and phase
velocity in terms of permitivity and permeability.
(d) Relationship between E and H field as well as the kvector.
Part II
It was a pleasant autumn day and Dr. Yam decided to take his laptop and work outside.
The sun was bright, so he has his sunglasses on. The laptop was on (full battery) but the
screen was really dim. From what you’ve learned in ELEC 381, what would you
recommend him do, and why?
Part III
On a hot day on the highway, the distant road sometimes appears to be a shining
reflective pool of water. Given the fact that the air density is a function of temperature,
how would you explain this natural phenomenon given your knowledge of ELEC 381.
In class, we learned about total internal reflection (depicted in diagram above). We also
learned about reflection coefficient. The question explores the relationship between the
incident and the reflected field at interface when the incident angle is greater than the
critical angle. Please begin with the reflection coefficients relationship and Snell’s Law to
derive the reflection coefficients for both TE (perpendicular) and TM (parallel)
polarizations.
Given the previous results, please discuss the significance of the reflection coefficients in
terms of both amplitude and phase?
Now, if you have a glass block of the following shape, and the fabrication capability to
apply antireflection
coating on arbitrary surfaces, how would you put together a design
that will convert linearly polarized light into circularly polarization light. Please explain
to the best of your ability.
Thats it.
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