Lecture 3 (EM21) -- Nonlinear and anisotropic materials

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Күн бұрын

This lecture builds onto the previous to introduce nonlinear and anisotropic materials. The discussion on nonlinear materials is brief, but the discussion on anisotropic materials covers tensors, tensor rotation, Maxwell's equations in anisotropic media, and index ellipsoids.
Prerequisits: Mechanics, Electromagnetics, and Linear Algebra

Пікірлер: 18

@altinshala313 5 жыл бұрын

wow someone who explains this stuff the way i can understand it. Love it

@empossible1577 5 жыл бұрын

Thank you!

@HC001-g4r Жыл бұрын

The index ellipsoid is a map of the refractive index as a function of the direction of the wave inside the lattice! LOVE how you define it!

@empossible1577 Жыл бұрын

Thank you so much! You might be interested to know that the notes and videos for this section of material has been considerably revised and improved. Take a look at Topic 2 here: empossible.net/academics/emp6303/

@amenenourmohammadi1602 6 жыл бұрын

That's great. Clear explanation and helpful figures. Thanks!

@navarunjagatpal 5 жыл бұрын

I'm a student at the University of Delaware, and I"m studying crystal optics. This is very helpful. Thanks.

@empossible1577 5 жыл бұрын

Thank you!! Let me point you to the official course website. There have been a lot of revisions and additions made to the notes that have not yet made it into the videos. You may find these helpful. emlab.utep.edu/ee5390em21.htm

@PhalusFace 3 жыл бұрын

Sincerely thanks you for this video, crystal clear like no other, litteraly

@empossible1577 3 жыл бұрын

Thank you! I have recently revised this entire section of notes and I think have made it better. I recommend accessing the course through the course website. You can download the notes, get links to the latest videos, and more. All of this material is now under Topic 2. empossible.net/academics/emp6303/

@WeiCaoAzure 9 жыл бұрын

Great explanation. Thanks!

@sti302man 5 жыл бұрын

Thank you sir.

@atxlax 5 жыл бұрын

How should we interpret the composite rotation matrix if we work in coordinate frame transformations (rotations) as opposed to the vector/body rotations that were used in this lecture? Would the eigenvector matrix [R] still be a matrix of column vectors where each column vector is a principal axis?

@nihalfayez1772 6 жыл бұрын

Great lecture, Thanks. I would ask for explanation why the rotation tenor is different that vectors

@empossible1577 6 жыл бұрын

Really, I should not be calling it tensor rotation. Instead I should call it a linear transformation. The best hand-waving answer I can give is this. A vector is sort of like the final answer to a problem. It is pure information and so it just needs to be rotated. A tensor is an operation. That is, it is only meaningful when it is multiplying a vector. The "tensor rotation" is really transforming the tensor operation to the rotated coordinate system. So things are different for the tensor because it is an operation instead of just information like a vector. Hope this makes sense!

@dadd-initiativee.v.8106 9 жыл бұрын

thanks alot. very well done! Would it be possible to share your presentation slides? I would use some of them in my thesis as a reference. that would be good

@empossible1577 7 жыл бұрын

What do you want?

@cxkwwxfcxkwwxf5688 3 жыл бұрын

I think the extraordinary wave index ellipsoid may be missing a term in slide 37. Thanks for the videos, Dr. Rumpf.

@empossible1577 3 жыл бұрын

Thank you! I have recently completely revised this section of the notes. If you always want the latest, go to the videos from the official course website. Here it is... empossible.net/academics/emp6303/ Much improved notes, but maybe all new mistakes to help me find!