An electron-based crystalline undulator

Abstract

Abstract. We discuss the features of a crystalline undulator of the novel type based on the effect of a planar channeling of ultra-relativistic electrons in a periodically bent crystals. It is demonstrated that an electron-based undulator is feasible in the tens of GeV range of the beam energies, which is noticeably higher than the energy interval allowed in a positron-based undulator. Numerical analysis of the main parameters of the undulator as well as the characteristics of the emitted undulator radiation is carried out for 20 and 50 GeV electrons channeling in diamond and silicon crystals along the (111) crystallographic planes.

Channeling and Radiation in Periodically Bent Crystals

“…For a negatively-charged projectile, e.g., an electron, it was pointed out in [156,161] and has become commonly accepted, that the concept of CU can not be realized due to a severe limitation of L due to the strong dechanneling of electrons. However, later on it was shown [266,267] that an electron-based CU is a also a feasible device for high-energy (ε > 10 GeV) electron beams. Recently, it has become clear that an electron-based CU can operate also in the domain of much lower beam energies (ε 1 GeV), which makes experimental investigations of the CU phenomenon much more feasible.…”

“…For the first time the feasibility of electron-based CU was proven in [266,267]. On the other hand, the electron beams are easier available and are usually of higher intensity and quality.…”

“…Prior to presenting numerical results on the CUR from electron-based CU, let us discuss a model [266,267] which allows one to define the dechanneling length L d (C) of an electron in a periodically bent crystal.…”

“…In [267] the Pöschl-Teller potential (see, e.g., [37]) was used to calculate the ratio k(C) for the electron channeling. The dashed and chained curves presented in Fig.…”

Multi-GeV electron and positron channeling in bent silicon crystals

“…The validity of this model, utilized in [1], can be proven for positively particles channeling in the harmonic interplanar potential [18] but is less obvious for negatively charged projectiles. However, in the latter case its applicability was demonstrated for electrons within the framework of the continuous potential model [25]. Comparing the data marked in Fig.…”