By G. D'Agostini (lecture.notes, draft)
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Extra resources for Bayesian Reasoning in Physics
Ritus, Ann. Phys. L. Ritus, Tr. Fiz. Inst. Akad. Nauk SSSR 111, 141 (1979). A. Brau, Modern Problems in Classical Electrodynamics (Oxford University Press, New York, 2004) Chapter 2 Interaction of Charged Particles with Strong Electromagnetic Wave in Dielectric Media. Induced Nonlinear Cherenkov Process Abstract What can we expect from particle–strong wave interaction in a medium essentially different from that of a vacuum? It is well known that in a medium with the refractive index n(ω) > 1 (dielectric media) the Cherenkov effect takes place— charged particle moving with a velocity v = const radiates spontaneously transverse EM wave of frequency ω at the angle θ satisfying the condition of coherency cosθ = c/vn(ω).
F. Dawson, Z. Fried, Phys. Rev. Lett. 19, 467 (1967) H. Prakash, Phys. Lett. H. Eberly, A. Sleeper, Phys. Rev. H. Eberly, Prog. Opt. W. Chan, Phys. Lett. I. I. Ritus, Usp. Fiz. J. Y. Chiao, Phys. Rev. A 4, 352 (1971) H. Brehme, Phys. Rev. I. I. Ritus, Ann. Phys. L. Ritus, Tr. Fiz. Inst. Akad. Nauk SSSR 111, 141 (1979). A. Brau, Modern Problems in Classical Electrodynamics (Oxford University Press, New York, 2004) Chapter 2 Interaction of Charged Particles with Strong Electromagnetic Wave in Dielectric Media.
The particle initial energy is taken to be E0 = 40 MeV and the initial velocity is directed at the angle ϑ = 9 × 10−3 rad to the wave propagation direction ( p0z = 0). The refractive index of the gaseous medium for this calculation has been chosen to be n 0 − 1 = 10−4 . 17 eV) with electric field strength E 0 = 3 × 108 V/cm and δτ = 4T ( T is the wave period). For these parameter values the wave intensity is above the critical point and, as we see from this figure, the particle energy is abruptly changed corresponding to the “reflection” phenomenon.