1. Special Topics in Electrodynamics:
PHY 712 Electrodynamics
9-9:50 AM MWF Olin 105
Plan for Lecture 31:
Special Topics in Electrodynamics:
Cherenkov radiation
References: Jackson Chapter 13.4
Zangwill Chapter 23.7
Smith Chapter 6.4
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PHY 712 Spring Lecture 31

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PHY 712 Spring Lecture 31

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PHY 712 Spring Lecture 31

4. Cherenkov radiation
Cherenkov radiation emitted by the core of the Reed Research Reactor located at Reed College in Portland, Oregon, U.S.
Cherenkov radiation. Photograph. Encyclopædia Britannica Online. Web. 12 Apr
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PHY 712 Spring Lecture 31

5.
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PHY 712 Spring Lecture 31

6. References for notes: Glenn S
References for notes: Glenn S. Smith, An Introduction to Electromagnetic Radiation (Cambridge UP, 1997), Andrew Zangwill, Modern Electrodynamics (Cambridge UP, 2013)
Cherenkov radiation
Discovered ~1930; bluish light emitted by energetic charged particles traveling within dielectric materials q qc
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PHY 712 Spring Lecture 31

7. From: http://large.stanford.edu/courses/2014/ph241/alaeian2/
Electric field direction
Particle velocity
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PHY 712 Spring Lecture 31

8. Rq(t) q
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PHY 712 Spring Lecture 31

9. Liénard-Wiechert potential solutions:
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PHY 712 Spring Lecture 31

10. vt r
R(t)
vtr
R(tr)
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PHY 712 Spring Lecture 31

11. vt r
R(t)
vtr
R(tr)
q(t)
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PHY 712 Spring Lecture 31

12. Liénard-Wiechert potentials for two different retarded times:vt r
R(t)
vtr
R(tr)
q(t)
Diagram is not correct!
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PHY 712 Spring Lecture 31

13. R(tr)/R(t)
b=2
150 q
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PHY 712 Spring Lecture 31

14. Physical fields for bn > 1 -- two retarded solutions contribute
R(t)
R(tr)
q(t)
vtr vt
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PHY 712 Spring Lecture 31

15. Physical fields for b > 1
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PHY 712 Spring Lecture 31

16. Intermediate steps: r R(t+Dt) R(t) q(t) q(t+Dt) vt vDt 04/10/2019
PHY 712 Spring Lecture 31

17. Cherenkov radiation observed near the angle qc -- continued
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PHY 712 Spring Lecture 31

18. A few details --
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PHY 712 Spring Lecture 31