Alexander Petrovich Potylitsyn

Diffraction radiation from relativistic particles

Foreword Preface 1. Radiation from Relativistic Particles 2. General Properties of Diffraction Radiation 3. Diffraction Radiation at Optical and Lower Frequencies 4. Diffraction Radiation in the Ultraviolet and Soft X-Ray Regions 5. Diffraction Radiation at the Resonant Frequency 6. Diffraction Radiation from Media with Periodic Surfaces 7. Coherent Radiation Generated by Bunches of Charged Particles 8. Diffraction Radiation in the Pre-Wave (FRESNEL) Zone 9. Experimental Investigations of Diffraction Radiation Generated by Relativistic Electrons References

Electromagnetic Radiation of Electrons in Periodic Structures

Preface.- Introduction.- Basic Characteristics of Electromagnetic Radiation.- Undulator Radiation.- Coherent Bremsstrahlung.- Resonant Transition Radiation.- Parametric X-Radiation (Pxr).- Smith-Purcell Radiation.- Radiation of Electrons in a Field of Intense Laser Wave Conclusion.

Generalized surface current method in the macroscopic theory of diffraction radiation

The surface current method known in the theory of electromagnetic waves diffraction has been generalized to be applied to the problems of diffraction radiation generated by a charged particle moving nearby an ideally-conducting screen in vacuum. An expression for induced surface current density leading to the exact results in the theory of transition radiation has been derived, and by using this expression several exact solutions of diffraction radiation problems are found. Limits of applicability for the earlier known models based on the surface current conception are indicated. Properties of radiation from a semi-plane and from a slit in cylinder are investigated at the various distances to observer.

Parametric X-ray Radiation

As it was noted in the previous chapter, at the incidence of a charged particle from a vacuum on an oblique conducting target the backward TR is generated with frequencies in an optical range and lower close to the direction of a specular reflection. Such a radiation mechanism can be interpreted as a process of the relativistic charge electric field scattering by a surface of the conducting target in a full analogy with a process of electromagnetic wave scattering by a perfect mirror.

On multiphoton bremsstrahlung

Abstract Kinetic equations for the process of multiphoton bremsstrahlung of electrons in matter are used to derive the equations for the moments of the distributions of electrons over the number of emitted photons and over the energy loss. The equations for the moments are solved in the continuous slowing down approximation. It is shown that the moments of multiphoton distributions can be expressed in terms of the moments of the macroscopic differential cross section of the process. The results of analytical calculations have been compared with data of the Monte Carlo simulation.

Forward diffracted parametric X radiation from a thick Tungsten single crystal at 855 MeV electron energy

Features of forward diffracted Parametric X-Radiation (PXR) were investigated at experiments with the 855 MeV electron beam of the Mainz Microtron MAMI employing a 410 &mgr;m thick tungsten single crystal. Virtual photons from the electron field are diffracted by the (101)[bar above final 1] plane at a Bragg angle of 3.977°. Forward emitted radiation was analyzed at an energy of 40 keV with the (111) lattice planes of a flat silicon single crystal in Bragg geometry. Clear peak structures were observed in an angular scan of the tungsten single crystal. The results were analyzed with a model which describes forward diffracted PXR under real experimental conditions. The experiments show that forward diffracted PXR may be employed to diagnose bending radii of lattice planes in large area single crystals.

Radiation of Electrons in the Field of Intense Laser Wave

In the late nineteenth century J. Thomson considered the problem of electromagnetic wave scattering with frequency ω 0 by a free rest particle with mass m and charge e. Thomson solved the task neglecting the influence of the magnetic field of the wave on the movement of particle (in modern terminology—neglecting terms \( \sim\nu /{\text{c}} \), i.e. in the nonrelativistic case). If an initial linearly polarized wave propagates along the axis z and the electric vector oscillation plane coincides with the plane x0z, then the free charge e also oscillates in this plane under the influence of an oscillating force F = e E 0 cos ω 0 t

Basic Characteristics of Electromagnetic Radiation

Hereinafter, the usage of the term “the photon beam” supposes that it concerns the electromagnetic radiation propagating along the fixed direction with a negligibly small angular divergence, the characteristics of which (intensity, polarization, position of maximum in spectrum, temporal modulation, etc.) are possible to adjust in a rather large range.

Smith–Purcell Radiation

As it was noted before, the transition radiation is a manifestation of so-called “polarization mechanism of radiation”, in which the field of a charged particle passing through the medium deforms (polarizes) the electron shells of the medium atoms. It is the dynamic polarization of the medium atoms that becomes a cause for electromagnetic radiation. If a relativistic charged particle flies in a vacuum close to any medium at the distance

Resonant Transition Radiation

As it follows from the figure, the minimal value of the TR yield coincides with a direction of charge velocity. The angular distributions of TR for various values of the Lorentz-factor (and accordingly β) in dependence of the direction cosines, which can change from −1 up to +1 are shown in the presented figure.