EM to Optics 11 : Separation of Variables Solutions to Differential Equations

In this video I continue with my tutorials on Electromagnetism to Optics which is pitched at university undergraduate level. I have intended for a long time to record videos which describe the transition made from classical electromagnetism to optics. In many respects these videos will cover 'wave' optics. I devote much time to discussing the complex exponential representation of waves, Maxwell's Equations, the wave equation etc. I would like to apologise for my hand writing - I have just bought a new tablet and am getting used to writing with it. I can assure you that it is better for later videos!

Specifically here, I introduce the method of separation of variables to solve second order LODEs. This method is extremely important and allows us to solve the electromagnetic wave equation.

I hope it's of use!! Thank you for watching and I hope that this matches your requirements. Please feel free to provide feedback via comments and share with your friends.