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

Photon Emission from Charged Particles Moving in Undulators Placed in a Photonic Crystal

“…Due to greater values of the increment of radiative instability, volume free electron lasers designed on the basis of this mechanism will have much smaller undulators and photonic crystals than those in FELs without such crystals. Let us point out in this connection that multi-wave cases of diffraction of radiation in photonic crystals have a contribute significantly to the reduction of the resonator size and the generation threshold [34]. This circumstance can also substantially simplify the design and development of a…”

Cherenkov and parametric (quasi-Cherenkov) radiation from relativistic charged particles moving in crystals formed by metallic wires

“…where the notations k n = (k x , k yn , k zn ) and k 36)- (39) together with the set of equations ( 31) describe the emission from a charged particle passing through the crystal built from wires. Let us suppose that we have a photonic crystal consisting of a small number of one-dimensional gratings (several tens or hundreds).…”

“…In this case, the set of equations ( 31) can be efficiently solved numerically. If (31) is successfully solved and the values of the amplitudes F 0m , F 1m , and F 1m are found, then the spectral-angular distribution of radiation can be calculated using ( 36)- (39). But since these expressions in the general form can hardly be integrated analytically, we need to apply the numerical integration when using them for calculating the total intensity of radiation.…”

“…Such compact bunches (whose size is much less than the wavelength) can emit coherently (as a single particles of charge Q = N e ), and hence we can expect that proceeding from single electrons to electron bunches will significantly -by a factor of N 2 e -increase the intensity of parametric radiation [5]. According to [38,39], the spectral-angular distribution of photons emitted by a bunch of particles moving in a crystal, d 2 N dωdΩ , is related to that emitted by a single particle, d 2 N 1 dωdΩ as…”

High-efficiency virtual cathode oscillator with photonic crystal

“…Many recent studies, both theoretical and experimental, show attractive properties of these structures, namely their capacity to concentrate electromagnetic energy and to direct their flow. [34][35][36][37][38] The idea to combine the classical configuration of the axial vircator with the PC system has been stated by Baryshevsky in his work. 39 The authors suggested that the diffraction properties of PC and its high interaction impedance provide an additional generation mechanism in such a system.…”