1. 04/10/2015PHY 712 Spring 2015 -- Lecture 301 PHY 712 Electrodynamics 9-9:50 AM MWF Olin 103 Plan for Lecture 30: Finish reading Chap. 14 – Radiation from charged particles 1.Review of synchrotron radiation 2.Free electron laser 3.Thompson and Compton scattering

2. 04/10/2015PHY 712 Spring 2015 -- Lecture 302

3. 04/10/2015PHY 712 Spring 2015 -- Lecture 303 Radiation from a moving charged particle x y z Rq(t)Rq(t) r r-R q (t) q

4. 04/10/2015PHY 712 Spring 2015 -- Lecture 304 Liénard-Wiechert fields (cgs Gaussian units):

5. 04/10/2015PHY 712 Spring 2015 -- Lecture 305 Electric and magnetic fields far from source:

6. 04/10/2015PHY 712 Spring 2015 -- Lecture 306 Poynting vector:

7. 04/10/2015PHY 712 Spring 2015 -- Lecture 307 Spectral composition of electromagnetic radiation

8. 04/10/2015PHY 712 Spring 2015 -- Lecture 308 Spectral composition of electromagnetic radiation -- continued

9. 04/10/2015PHY 712 Spring 2015 -- Lecture 309 y z x    r  y x  Top view: Example for circular motion:

10. 04/10/2015PHY 712 Spring 2015 -- Lecture 3010 y z x    r 

11. 04/10/2015PHY 712 Spring 2015 -- Lecture 3011 Exponential factor Synchrotron radiation geometry – using modified Bessel functions

12. 04/10/2015PHY 712 Spring 2015 -- Lecture 3012 Spectral form of synchrotron radiation in this case:

13. 04/10/2015PHY 712 Spring 2015 -- Lecture 3013  c     Plots of the intensity function for synchrotron radiation

14. 04/10/2015PHY 712 Spring 2015 -- Lecture 3014  Plots of the intensity function for synchrotron radiation  c =1

15. 04/10/2015PHY 712 Spring 2015 -- Lecture 3015 Synchrotron facilities in USA http://www.lightsources.org/regions

16. 04/10/2015PHY 712 Spring 2015 -- Lecture 3016 Free electron laser Reference:

17. 04/10/2015PHY 712 Spring 2015 -- Lecture 3017

18. 04/10/2015PHY 712 Spring 2015 -- Lecture 3018 Electron emission in periodic magnet

19. 04/10/2015PHY 712 Spring 2015 -- Lecture 3019 Electron trajectory near magnetic in undulator viewed in the electron rest frame (ERF)

20. 04/10/2015PHY 712 Spring 2015 -- Lecture 3020

21. 04/10/2015PHY 712 Spring 2015 -- Lecture 3021 Some details of scattering of electromagnetic waves incident on a particle of charge q and mass m q r k0k0     

22. 04/10/2015PHY 712 Spring 2015 -- Lecture 3022 Thompson scattering – non relativistic approximation

23. 04/10/2015PHY 712 Spring 2015 -- Lecture 3023 Thompson scattering – non relativistic approximation -- continued r k0k0     

24. 04/10/2015PHY 712 Spring 2015 -- Lecture 3024 Thompson scattering – non relativistic approximation -- continued Scattered light may be polarized parallel to incident field or polarized with an angle  so that the time and polarization averaged cross section is given by: This formula is appropriate in the X-ray scattering of electrons or soft  -ray scattering of protons

25. PHY 712 Spring 2015 -- Lecture 302504/08/201325 Thompson scattering – relativistic and quantum modifications  p p’ pqpq  incident photon scattered photon 04/10/2015

26. PHY 712 Spring 2015 -- Lecture 3026 Thompson scattering – relativistic and quantum modifications  p p’ pqpq  incident photon scattered photon