PHY 712 -- Computational assignment

The purpose of this assignment is to complete an in-depth study an electrodynamic topic of interest to you. Each student should prepare a 20-30 minute talk about their project to share with the class on Apr. 25th. The talk should include:

1. Motivation and discription of the project
2. A discussion of the basic electrodynamic principles involved in the project
3. A discussion of the main results
4. Conclusions and outlook for additional work along these lines.

• Investigate the Ewald summation method in more detail in terms of its derivation and its application to various crystal structures.
• Obtain or program finite element analysis software and use it to solve a boundary value electrostatics or magnetostatics problem. First, test the software for a problem which you can also solve with an independent method.
• Evaluate the Hyperfine interaction Hamiltonian (Eq. 5.73) for some particular materials.
• Practical applications of reflectivity and refraction. Using Eqs. 7.39 and 7.41, derive expressions for the reflectivity and transmittance of visible light from water and other common materials. Show the effects of Brewster's angle on the use of polaroid sun glasses.
• Study Problem # 7.2 of JDJ as an example of anti-reflection coating technology.
• Evaluate the radiation distribution and spectrum for additional particle trajectories, besides the synchrotron case.
• More suggestions available by request.