On Photon Production by Channeled Electrons (Positrons)

Abstract

Lam diffraction of radiation from channeled particles in crystals is considered. The explicit expression for the radiation spectrum taking into account the real photon beam collimation is derived.The classical limit of the theory is considered. I3 HaCTORIqel' r pa6oTe AaHa Teoprm m n y s e~m B cnyrrae .w@paKum mnycKaeMhrx ($OTO-Y C~O B H H X Kon.nnMaqm sb~ne~arnlr~ero n y w a @OTOHOB. PaccMoTpeH maccwecwifi npenen Teopm. HOB IIO .Jhl373. HaiiXeH IIBHLlfi BPIR CneKTpOB 143JIyVeHkIR C Y4eTOM HMeIo4eBCR B peaJIbHbIX

Spontaneous and induced radiation by electrons/positrons in natural and photonic crystals. Volume free electron lasers (VFELs): From microwave and optical to X-ray range

“…The X-ray generator on the basis of diffracted channeling radiation (DCR) 60 10 Crystal X-ray FEL based on a natural crystal or an electromagnetic undulator 64 11 Volume Free Electron Laser 74 12 Generation equations and threshold conditions in the case of two-wave diffraction 75 13 Generation equations and threshold conditions in the geometry of three-wave Bragg diffraction 84 14 Application of volume diffraction gratings for terahertz lasing in Volume FELs (VFELs) 97 14.1 Amplification and generation in a photonic crystal 98 15 Dependence of VFEL threshold conditions on undulator parameters 103 16 Use of a dynamical undulator mechanism to produce short wavelength radiation in VFELs 106 17 Formation of distributed feedback in a FEL under multi-wave diffraction 115…”

Diffraction phenomena in spontaneous and stimulated radiation by relativistic particles in crystals (Review)

“…In the case of rather thick crystals the angular distribution of DRO was obtained in [2,18,19] .For example, the angular distribution of radiation generated by plane-channeled particles can be written as [2]:…”

“…In the dipole approximation, that is true for the X-ray radiation, we have ~ in an arbitrary nondipole case gnf is defined in [17,18],…”

“…The description of channeled particle motion by the help of one-or two-dimensional Bloch functions was given in [125]. The expressions for spectral-angular DRO distribution for different cases of photon dynamical diffraction were obtained in [17][18][19]. For example, in the case of two-wave Laue diffraction the spectral-angular distribution of DRO can be written in the following way [ 17 -19]": (3.1) where…”

“…<f>nk and <f>ik are the two-dimensional Bloch-functions satisfying the equation like Schrodinger's one (see [17][18][19], L is the crystal target length, Qnn is the population probability of a particle transverse energy state n.…”