Week of 2/18/08
Download 2/20/08. Barrier scattering. |
Download Plot of transmission coefficient for a barrier |
Download test 1 solutions. |
interference effects in scattering problems
Here is a tutorial I wrote with two of my former students on the Fabry-Perot problem. I.e., two plane parallel mirrors
A tutorial on the Fabry-Perot system
The fact that you can get transmission coefficients of 1, in scattering problems is due to subtle interference effects which can seem paradoxical at first.
Jon Dowling's page on acoustic and photonic band gaps
Paper 8231 is looks interesting!
One of my themes for today will be the unity of physics. Many quantum mechanical effects are due to the wave-like properties of solutions to the Schrodinger equation. In fact, when you look at the following two "experiments" (one laboratory, one simulation) you should ask yourself: if we remove all the plot labeling, can you distinguish the classical wave scattering solution to the wavefunction for Schrodinger?
An ultrasonic (real measurement) version of the JAVA scattering app
A "band gap" occurs when the transmission coefficient goes to near zero and the reflection coefficient goes to near 1. Here is an example of a measured photonic band gap in a layered medium (quartz and teflon) measured with millimeter electromagnetic waves in my lab.
Download A "reflection free" potential we can do analytically. |