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Cherenkov Radiation - Stem2
Cherenkov RadiationJames Emery5/17/2009 Contents1 Introduction12 WaveMotion23 The Phase and Group Velocity of Waves34 Shock Waves45 The Theory and Spectrum of Cherenkov Radiation46 Nuclear Reactors67 CosmicRays68 Cherenkov Particle Detectors79 Bibliography and References71 IntroductionThe Russian physicists Cherenkov , Frank, and Tamm, received the 1964 Nobel prize in physics for their work on Cherenkov example of a wave is the periodic sin function, as a function of time,sin( t).A traveling wave is a function of both space and time, for examplesin(kx t),or (x, t)=aexp(i(kx t)).Because every periodic function may be expanded in a Fourier series, we mayconsider only the trigonometric functions of the form (x, t)=aexp(i(kx t)).
is modulated by an amplitude that moves at the group velocity v g = dω dk Sowave packetsmoveatthegroupvelocity, whichisanimportantconcept in quantum mechanics.
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