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Special Topics in Electrodynamics: Cherenkov Radiation

Explore the fascinating phenomenon of Cherenkov radiation, discovered in 1930, emitted by energetic charged particles within dielectric materials. Learn about its properties, applications, and relevance in modern electrodynamics.

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Special Topics in Electrodynamics: Cherenkov Radiation

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  1. 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 PHY 712 Spring 2019 -- Lecture 31

  2. PHY 712 Spring 2019 -- Lecture 31

  3. PHY 712 Spring 2019 -- 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. 2013. http://www.britannica.com/EBchecked/media/174732 PHY 712 Spring 2019 -- Lecture 31

  5. https://www.nobelprize.org/prizes/physics/1958/ceremony-speech/https://www.nobelprize.org/prizes/physics/1958/ceremony-speech/ PHY 712 Spring 2019 -- Lecture 31

  6. 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 qc q PHY 712 Spring 2019 -- Lecture 31

  7. From: http://large.stanford.edu/courses/2014/ph241/alaeian2/ Electric field direction Particle velocity PHY 712 Spring 2019 -- Lecture 31

  8. Rq(t) q PHY 712 Spring 2019 -- Lecture 31

  9. Liénard-Wiechert potential solutions: PHY 712 Spring 2019 -- Lecture 31

  10. r R(t) R(tr) vtr vt PHY 712 Spring 2019 -- Lecture 31

  11. r R(t) R(tr) q(t) vtr vt PHY 712 Spring 2019 -- Lecture 31

  12. r Liénard-Wiechert potentials for two different retarded times: R(t) R(tr) q(t) vtr vt Diagram is not correct! PHY 712 Spring 2019 -- Lecture 31

  13. R(tr)/R(t) b=2 150 q PHY 712 Spring 2019 -- Lecture 31

  14. Physical fields for bn > 1 -- two retarded solutions contribute r R(t) q(t) R(tr) vtr vt PHY 712 Spring 2019 -- Lecture 31

  15. Physical fields for b > 1 PHY 712 Spring 2019 -- Lecture 31

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

  17. Cherenkov radiation observed near the angle qc -- continued E S PHY 712 Spring 2019 -- Lecture 31

  18. A few details -- PHY 712 Spring 2019 -- Lecture 31

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