Special Topics in Electrodynamics: (discussed in Jackson Chapter 13)

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Presentation transcript:

Special Topics in Electrodynamics: (discussed in Jackson Chapter 13) PHY 712 Electrodynamics 10-10:50 AM MWF Olin 107 Plan for Lecture 30: Special Topics in Electrodynamics: Cherenkov radiation (discussed in Jackson Chapter 13) 04/11/2014 PHY 712 Spring 2014 -- Lecture 30

04/11/2014 PHY 712 Spring 2014 -- Lecture 30

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 04/11/2014 PHY 712 Spring 2014 -- Lecture 30

Rq(t) q 04/11/2014 PHY 712 Spring 2014 -- Lecture 30

Liénard-Wiechert potential solutions: 04/11/2014 PHY 712 Spring 2014 -- Lecture 30

vt r R(t) vtr R(tr) 04/11/2014 PHY 712 Spring 2014 -- Lecture 30

vt r R(t) vtr R(tr) q(t) 04/11/2014 PHY 712 Spring 2014 -- Lecture 30

Liénard-Wiechert potentials: vt r R(t) vtr R(tr) q(t) Liénard-Wiechert potentials: 04/11/2014 PHY 712 Spring 2014 -- Lecture 30

Physical fields for bn > 1 R(t) R(tr) q(t) vtr vt 04/11/2014 PHY 712 Spring 2014 -- Lecture 30

Physical fields for b > 1 04/11/2014 PHY 712 Spring 2014 -- Lecture 30

Intermediate steps: 04/11/2014 PHY 712 Spring 2014 -- Lecture 30

Some details: Cherenkov radiation observed near the angle qc at time t=tC+Dt vtr2 vtr3 vtr1 vtr4 vtC cn(t-tr) 04/11/2014 PHY 712 Spring 2014 -- Lecture 30

Some details: Cherenkov radiation observed near the angle qc R(Dt) r Rc qC=q(0) q(Dt) vtC 04/11/2014 PHY 712 Spring 2014 -- Lecture 30

Cherenkov radiation observed near the angle qc -- continued R(Dt) r RC qC=q(0) q(Dt) vt 04/11/2014 PHY 712 Spring 2014 -- Lecture 30

Cherenkov radiation observed near the angle qc -- continued 04/11/2014 PHY 712 Spring 2014 -- Lecture 30

Cherenkov radiation observed near the angle qc -- continued 04/11/2014 PHY 712 Spring 2014 -- Lecture 30

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 04/11/2014 PHY 712 Spring 2014 -- Lecture 30