Transition radiation in media with random inhomogeneities

This review analyzes radiation produced by randomly inhomogeneous media excited by fast particles - i.e., polarization Bremsstrahlung for thermodynamically equilibrium inhomogeneities or transition radiation for nonthermal ones - taking into account all the effects important for natural sources. Magnetic field effects on both the motion of fast particles and dispersion of background plasma are considered, and the multiple scattering of fast particles in the medium is examined. Various resonant effects occurring under the conditions of Cherenkov (or cyclotron) emission for a particular eigenmode are discussed. The transition radiation intensity and absorption (amplification) coefficients are calculated for ensembles of fast particles with realistic distributions over momentum and angles. The value of the developed theory of transition radiation is illustrated by applying it to astrophysical objects. Transition radiation is shown to contribute significantly to the radio emission of the Sun, planets (including Earth), interplanetary and interstellar media. Possible further applications of transition radiation (particularly, stimulated one) are discussed.