Lecture 3c -- Wave Dispersion & Polarization

This lecture covers the dispersion relation and polarization of electromagnetic waves

[@user-qu5vz1nt7l]

Thank you very much, this is the perfect contents i think.

[@mishuk2008]

Best em learning materials for undergrads on the internet.

[@empossible1577]

Thank you!

[@AbuSayed-er9vs]

Mind blowing as usual!!!

[@vahidj3196]

The Best

[@empossible1577]

Thank you!

[@youssefelhajji530]

Thank you ,great lecture

[@empossible1577]

Thank you!

[@localfuture1484]

Hi, @4:55, I found there may be something wrong with the orientation of "Left-Hand Circular Polarization". I think at the fixed point when viewed from behind, the rotation should be counterclockwise (you meantion it in another PDF). The drawing here is not correct. Could you help check it? In other words, on the right figure, the spiral part is "Left-Hand Circular", however, for the circle on the "Plane", it's "Right-hand Circular".

[@empossible1577]

You are right. This section of the notes has been considerably revised and you are watching an older and obsolete video. I don't delete them because there are good comments and discussion with the video. I recommend accessing the information through the course website. You can see the information organized, download the notes, get links to the videos, and see all the other learning resources. You will also have the latest version of everything. The discussion related to polarization is now Lecture 6d. Here is a link the course website: empossible.net/academics/emp3302/

[@user-si1zn3ir7x]

Thank you for the great lecture. I think you are using fourier transformed wave eq..where can I find the lecture for this? I am not sure about the derivation and why we are using it. Thank you.

[@empossible1577]

Below is the link to the official course website. I recommend using that as your main portal to the course because it organizes the information, you can download the notes, get links to the latest versions of the notes and videos, and get other learning resources. empossible.net/emp3302/ The video you are watching has been moved to Topic 6 where you can watch the videos that come before it. I have reorganized the information, but it is all still there.

[@geez6666]

These are really good set of lectures you have. Thank you. I hope you're doing well wherever you are. Is there a reason you omitted 180 deg from the table under linear polarization?

[@empossible1577]

Good point. I should have said something like m*180, meaning any integer multiple of 180.

[@geez6666]

@@empossible1577 okay thanks

[@meghjitmajumder3468]

But sir in the corresponding pdf, named as "Dispersion Relation"... First, there are only 9 slides Second, there's nothing about Polarization. (Only same till the slide no. 6)

[@empossible1577]

The notes have been improved and revised since they were recorded. You are seeing some of the differences. I need to go back and rerecord some of the lectures for greater consistency. Very sorry! Here is a link to the official course website. empossible.net/academics/emp3302/

[@Hertzultra]

If one assumes this to be understood as is in electrodynamic propagation of waves and paralleled with wave mechanics then WHY do we NOT HAVE a GRAND UNIFIED THEORY??

[@GabrielSantos-th7ww]

The first equation in the slide number one is the Helmholtz's equation, not the wave equation.

[@empossible1577]

In your opinion, what is the difference between the frequency-domain wave equation and the Helmholtz equation?

[@GabrielSantos-th7ww]

@@empossible1577 As far as I know, if I take the Fourier transform of the wave equation, I end up with the Helmholtz equation. So yeah, the Helmholtz equation is the frequency-domain wave equation. EDIT: My bad, it's not taking the Fourier transform of the equation, but assuming that the solution of the wave equation can be represented as a Fourier integral. That's the way I learned how to derive the Helmholtz equation.

[@empossible1577]

@@GabrielSantos-th7ww That is my understanding as well. I think it is still proper to call the frequency-domain wave equation the wave equation.

[@GabrielSantos-th7ww]

​@@empossible1577 Well, yes. But I still think it's necessary to make those clarifications in the video given that it's only presented as the wave equation.