NYU Electricity & Magnetism II

by Professor David W. Hogg (NYU)

This syllabus is for NYU CAS Physics course PHYS-UA 132 in the Spring 2012 semester.

The evaluation for this class will be based entirely on problem sets, two per week, and a small final project due at the end of exam period. Problem sets are due in class on Mondays and Wednesdays. Late work won't be accepted for credit; if you miss a problem set, just move on. Feel free to work together—please do, in fact—but hand in your own version of the answers.

date lecture problems due
Jan 23 where were we?
Jan 25 Maxwell's Equations 0. A charge moving at relativistic speed v comes abruptly to rest at t=0. Draw some kind of representation of the electric field everywhere at t=1 second. What's non-trivial about it?
Jan 30 induction, rail guns 1. inductance: Griffiths 7.24
2. energy: Griffiths 7.30
3. B generated by dE/dt: Griffiths 7.32
Feb 01 Poynting Vector 4. atom in B field: Griffiths 7.49
5. transmission line: Griffiths 7.58
Feb 06 energy, stress, angular momentum 6. Alfven's theorem: Griffiths 7.59
7. power transmitted: Griffiths 8.1
8. stress tensor: Griffiths 8.4
Feb 08 wave equation, fields in vacuum 9. momentum density: Griffiths 8.6
10. angular momentum density: Griffiths 8.8
Feb 13 boundary conditions 11. conserved quantities in materials: Griffiths 8.15
12. standing wave: Griffiths 9.2
13. boundary conditions: Griffiths 9.5
Feb 15 14. Why are electromagnetic waves in the radio emitted and received by antennas, but in the visible emitted by filaments and diodes and received by semiconductor detectors?
15. real-world radiation: Griffiths 9.10
Feb 20 Presidents' Day
Feb 22 16. reflection: Griffiths 9.16
17. skin depth: Griffiths 9.19
18. total internal reflection, evanescent wave: Griffiths 9.37
Feb 27 retarded potentials, radiation 19. coordinate freedom: Griffiths 11.2
20. radiation resistance: Griffiths 11.3
21. magnetic dipole radiator: Griffiths 11.5
Feb 29 radiation from a moving charge 22. acceleration radiation: Griffiths 11.10
23. quadrupole radiation: Griffiths 11.11
Mar 05 wave equation with non-trivial boundary conditions 24. relativistic radiation pattern: Griffiths 11.16
25. keep a charge in orbit: Griffiths 11.17
26. radiation reaction: Griffiths 11.19
Mar 07 static vs sinusoidal (in time) spherical boundary problems 27. boundary reminder: Jackson 3.1
28. What are the sinusoidal (in time) solutions to the two-dimensional scalar wave equation on a circular patch with zero displacement on the boundary? That is, what are the modes of a circular drum? What are the frequencies of the 10 lowest-frequency modes?
Mar 12 Spring Break
Mar 14
Mar 19 atom as antenna 29. spherical antenna: Jackson 9.3
30. hydrogen atom radiator: Jackson 9.10
Mar 21 Huygens's principle and Green's function 31. large or small current loop: Jackson 9.14
Mar 26 resonance, numerical propagation of scalar wave equation 32. linear antenna: Jackson 9.16
33. perfect spherical cavity: Jackson 9.22
Mar 28 lattices of scatterers, why is the sky blue? 34. Review: Use the principle of least time to derive Snell's Law.
Apr 02 relationships among expansions 35. Review: A lenticular lens with radius of curvature R_1 on one face and R_2 on the other is working in an evacuated camera. What is the focal length of the lens?
36. Numerical: Create a numerical model of a tiny refracting telescope (details given in lecture).
Apr 04 shadows, fringes, coherence 37. absoprtion and scattering: Jackson 10.3
Apr 09 38. Numerical: Make plots of the expansion of the plane wave in spherical harmonics (details given in lecture).
Apr 11 39. Numerical: Resolve differences among your answers to problem 38. Who was right? If you were not right, submit new figures. Due Thursday Apr 12 by 17:00.
Apr 16 scattering by a finite-sized object, incoherent light
Apr 18 40. scattering by a finite-sized sphere: Jackson 10.7
41. physical optics shadow: Jackson 10.11
Apr 23 42. Qualitatively, how would your answer to problem 41 be different if there was not a single frequency but an incoherent mix of frequencies?
43. Numerical: Create a numerical model of the diffraction by a circular aperture (details given in lecture).
Apr 25 project discussion 44. Written: Email a proposal for your final project (subject, and also form, which can be paper, problem set, code and output, or device).
Apr 30 project discussion 45. Written: Final project proposals due.
May 02 project discussion
May 07 project discussion 46. Projects: First drafts due.
May 16 47. Projects: Final versions due.

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