Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ap%26ss..41..387l&link_type=abstract
Astrophysics and Space Science, vol. 41, June 1976, p. 387-406. Research supported by the Massachussetts Institute of Technology
Astronomy and Astrophysics
Astrophysics
2
Charged Particles, Earth Magnetosphere, Electromagnetic Radiation, Particle Motion, Pulsars, Angular Distribution, Astronomical Models, Boundary Conditions, Boundary Value Problems, Isophotes, Poynting Theorem
Scientific paper
The author considers the problem of the radiation produced by a charged particle as it crosses the boundary between two media of the same refractive index measured in their local rest frames but slipping with respect to one another. The intensity, frequency dependence, and angular dependence of such radiation are calculated for a simple geometrical situation consisting of two semi-infinite media whose boundary is traversed normally by a point charge moving with constant velocity. This is done by obtaining first the particular solutions to the Maxwell equations in the two media and then adding to these solutions arbitrary amounts of the homogeneous solutions. Boundary conditions across the interface are used to express the arbitrary amounts of the homogeneous solutions in terms of the particular solutions. This allows computation of the total power output, and some numerical analysis shows that there is a flat differential spectrum up to some limiting frequency where the refractive index can no longer be considered constant, and that the angular dependence of the emission is peaked at an angle to the direction of motion of the particle.
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