By Nagnibida N. I.
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Extra info for A basis for the space of functions analytic in a disk
They consider a single electron transition in a relativistic, screened, self-consistent (HartreeFock-Slater) potential, with wave functions obtained in partial-wave series by numerically integrating the radial Dirac equation. This gives very good agreement with the recent data of Hippler et al. 57J as shown in Fig. 28. 144) for high Z is due to the screening of atomic electrons, as relativistic effects at such low incident electron energy are small. Very slow electrons can make several turns around the field before escaping.
O o· 1&0 Fig. 19. Angular distribution (shape function) from the observed spectral distribution curves at various angles shown in Fig. 18. 15]. These curves can also be drawn on a polar diagram, as shown in Fig. 20. 12]. In their experiments, the transmission target formed the window in the X-ray tube and the intensity of continuous radiation transmitted through the target was easily observed, down to e = 0°. Such a transmission target approaches a thin target in its effect. 20] at a voltage V = 140 kV.
Cdp) extends from the initial velocity Vo = cPo of the electron to the final zero velocity. 71) Thus, the classical theory predicts the energy-distribution polar diagram for radiation. In Fig. 70), for three values of vole. The movement of the direction of maximum intensity toward the direction of incident-electron velocity (forward direction) with the increase of the incident velocity is easily seen. An X-ray tube is like a low-velocity linear accelerator (vole ~ 1/3). For a high-velocity accelerator (volc ~ 1), the radiation is confined to a very narrow cone in the direction of the motion (dotted curve in Fig.