Hey, good job you made it through the section about electromagnetic waves, or you could also say this
lecture about light.
So let's revisit what we did in this whole section.
So we started from a special case of the Maxwell's equations.
This is where we consider the vacuum, which means we set the charge density and the current density
to zero.
They are there after we have derived the wave equations or the wave equations for the electric field
and the magnetic fields, and we did this by using these four modified Maxwell's equations where we
took two of them, set them into each other, and then the result was a wave equation for E and then
wave equation for B, and both of these equations are second order in time and second order in space.
So the solution was an exponential function with time argument and space argument, and the argument
was a complex number.
So this means the real part is always something like a cosine.
So it's really a wave.
And then we have discussed these waves in detail.
We have derived the dispersion relation.
So there's the relation of the frequency and the wave vector.
So Omega took.
And then we have also discussed that the way affected the electric field and the magnetic field are
always perpendicular to each other.
And then in the last lecture, I think this was quite fun, because there we have discussed the different
polarizations of light.
So he had really depends how the real part and the imaginary part of the amplitude of our wave are oriented
so that we can get linear polarization, circular polarization and also elliptical polarization.
Now, let's go ahead and talk about another special case.
This is electromagnetics.