In Week 10 we shall continue our investigation of the radiation produced by accelerating charge particles.
There are two interactive sessions each week: in the Simon lecture theatre A (Monday) and Stopford lecture theatre 1 (Wednesday).
In Lecture 20 we shall start to investigate the characteristics of the radiation produced by accelerating charge particles (to be continued next week).
There is one mini-lecture, with associated small exercises and lecture notes provided, but all of the core material for this week will be covered in a `live lecture'.
There are official 3rd year examples classes for Electrodynamics this week.
⚬ Monday 15:00-16:00 - Live Lecture 20: The radiation produced by an accelerating point charge - non-relativistic case
This live lecture completes the material from mini-lecture 19b and covers approximately the same material as mini-lecture 20.
Lecture 20 Podcast ............. Notes written to visualiser ............. Exercises from lecture ............. Answers
⚬ Wednesday 9:00-10:00 - Interactive session - Worked example - Particle in an accelerator from two different frames of reference - An explicit example of relativistic acceleration
Podcast ............. Problem to be worked on ............. Notes written to visualiser
By clicking on the links given below you will be able to access the video of each mini-lecture, together with the associated small exercises and lecture notes.
Mini-Lecture 20: The radiation produced by an accelerating point charge - non-relativistic case
Video ............. Lecture notes written to visualiser ............. Exercises from mini-lecture ............. Answers
Patterns of radiation produced by an accelerating point charge (N.B. Figs 2 and 3 will be covered in later mini-lectures)
Mini-Lecture 20: The radiation produced by an accelerating point charge - non-relativistic case
For various different approaches I suggest looking at:
M.A. Heald and J.B. Marion, Classical Electromagnetic Radiation (3rd edition): Chapter 8.
J.D. Jackson, Classical Electrodynamics: Chapter 12.
D.J. Griffiths, Introduction to Electrodynamics: Chapter 11.2. (N.B. if in your edition of Griffiths, chapter 11 in entitled "Electrodynamics and Relativity" then try looking in chapter 10!)
The radiation by point charges moving with relativistic speeds.
In preparation for next week's lectures I strongly recommend you take another look at question 2 on the sheet Examples Class 2. This deals with the transformation of accelerations from one frame to another.
It would also be very helpful if you could review your answer to question 1 on the sheet Additional Problems 2 in anticipation of Monday's lecture of Week 11. We shall be Lorentz boosting radiation from one intertial frame to another and this question is very relevant.
In preparing the week 11 lectures on the radiation by point charges moving with relativistic speeds I came across the book "Radiative Processes in Astrophysics" by G.B. Rybicki A.P. Lightman. Chapter 4.8 "Emission from Relativistic Partlcles" in this book describes methods similar to those used in Mini-Lectures 21. This book is available for free online using your University of Manchester account at the link https://onlinelibrary.wiley.com/doi/book/10.1002/9783527618170 .
Optional extra-curricular reading: for alternative derivations of the radiation by point charges moving with relativistic speeds that start from the full Lienard-Wiechert fields I suggest looking at:
M.A. Heald and J.B. Marion, Classical Electromagnetic Radiation (3rd edition): Chapter 8.
J.D. Jackson, Classical Electrodynamics: Chapter 12.
D.J. Griffiths, Introduction to Electrodynamics: Chapter 11.2. (N.B. if in your edition of Griffiths, chapter 11 in entitled "Electrodynamics and Relativity" then try looking in chapter 10!)
Two examples of the interaction of electromagnetic radiation with electrons.
J.D. Jackson, Classical Electrodynamics: Chapter 14.8.
D.J. Griffiths, Introduction to Electrodynamics: Chapter 12.2.3 (N.B. if in your edition of Griffiths, chapter 12 in entitled "Potentials and Fields" then try looking in chapter 11!)
M.A. Heald and J.B. Marion, Classical Electromagnetic Radiation (3rd edition): Chapter 10.1.