### Course Meeting Times

2 sessions / week, 1.5 hours / session

### Description

This course discusses principles and applications of electromagnetism, starting from Maxwell’s equations, with emphasis on phenomena important to nuclear engineering and radiation sciences, solution methods for electrostatic and magnetostatic fields, charged particle motion in those fields, particle acceleration and focusing and collisions with charged particles and atoms. It also covers electromagnetic waves, wave emission by accelerated particles, Bremsstrahlung, Compton scattering, photoionization, and elementary applications to ranging, shielding, imaging, and radiation effects.

22.105 Curriculum Outline (PDF)

### Textbooks

#### Class Textbook

Jackson, J. D. *Classical Electrodynamics*. 3rd ed. New York, NY: John Wiley & Sons, 1998. ISBN: 9780471309321.

A great book. The first half of the book now uses SI units. The second half still uses CGS units. This book will serve as a valuable reference for many years to come. I still use my original copy, purchased in 1962!

#### Supplemental Readings

Feynman, R. P. *The Feynman Lectures on Physics*. Vol. 1. Reading, MA: Addison-Wesley, 1971. ISBN: 9780201021165.

Panofsky, W. K., and M. Philips. *Classical Electricity and Magnetism*. Reading, MA: Addison-Wesley, 1962. ISBN: 9780201057027.

Evans, R. D. *The Atomic Nucleus*. Malabar, FL: Kreiger Publishing, 1982. ISBN: 9780898744149. (Reprint of 1955 McGraw-Hill edition).

Chapters 18-24 contain an extensive discussion of charged particle interaction with matter, energy loss, ranging, etc.

Humphries, S. *Principles of Charged Particle Accelerators*. New York, NY: J. Wiley & Sons, Inc., 1986. ISBN: 9780471878780.

Has relevant material on ion focusing and optics.

Livingstone, M. S., and J. P. Blewett. *Particle Accelerators.* New York, NY: McGraw-Hill, 1962. ISBN: 1114443840.

Has a very practical discussion of many types of accelerators still useful in medium energy applications.

Herzberg, G. *Atomic Spectra and Atomic Structure.* Mineola, NY: Dover Publications, 1944. ISBN: 9780486601151.

Good introduction to atomic spectra which is a small part of this subject.

### Problem Sets

The weekly problem sets are an essential part of the course. Working through these problems is crucial to understanding the material.

Problem sets will generally be assigned at the Tuesday lecture and will be due at start of class on the following Thursday.

### Exams

There will be a midterm exam and a final exam. If you did well on the problem sets you should do well on the midterm and final exams.

### Grading

The final grade for the course will be based on the following:

ACTIVITIES | PERCENTAGES |
---|---|

Homework | 25% |

Midterm Exam | 35% |

Final Exam | 35% |

Class Participation | 5% |

### Calendar

LEC # | TOPICS |
---|---|

1 | Electrostatics, Coulomb force, Electric Field, Gauss’ Law, Poisson’s Equation |

2 | Solving Poisson’s Equation, Overview of Methods, 1-D Problems, Capacitance, Resistance |

3 | Solving Problems Continued, Separation of Variables, Method of Images, Boundary Conditions, 2-D and 3-D Problems |

4 | Solving Problems Continued, the Failure of Separation of Variables, the Method of Green’s Theorem |

5 | Using Green’s Theorem in Complicated Geometries, Dielectric Materials |

6 | Magnetostatics, Analogy to Electrostatics, Potentials, Biot-Savart Law, Ampere’s Law |

7 | Inductance, Magnetic Materials, Superconductors |

8 | Motion of Charged Particles in Static Electric and Magnetic Fields, Spectrometers |

9 | The Concept of Focusing, Electrostatic Accelerators |

10 | Magnetostatic Accelerators, Beam Density Limit |

11 | Quasistatics, Faraday’s Law, Circuit Equations for a Solenoid, Conservation Relations |

12 | Applications, Transformers, Ignition Coil, Pulsed Power Supply |

13 | Applications, Magnetic Diffusion, Skin Depth, Power Dissipated |

14 | Applications, AC Losses and Quench in Superconductors |

15 | Applications, a Proton Beam Accelerator |

16 | The Problem with Quasistatics, The Full Maxwell Equations, Forces and Energy |

17 | Electromagnetic Waves, Plane Waves, Reflection, Refraction, Absorption, Transmission, Transmission Lines |

18 | Waveguides, Klystrons, Gyrotrons |

19 | Electromagnetic Radiation, Lienard-Wiechert Potentials, Radiation From a Moving Charge |

20 | Applications, Dipole Antennas, Launching Arrays |

21 | Applications, Thomson Scattering |

22 | Applications, Compton Scattering, The Photo-electric Effect |

23 | Applications, Synchrotron Radiation, Cerenkov Radiation |

24 | Applications, Bremsstrahlung Radiation |