`http://cosmo.nyu.edu/hogg/em2/`

*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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