Parametric X-Ray Radiation in Crystals: Theory, Experiment.

Part I. Theory

1. Electromagnetic radiation from a charged particle in a crystal: Qualitative consideration

1.1 Optical and X-ray Cherenkov radiation in uniform media

1.2 Pseudophoton spectrum of relativistic electron

1.3 Influence of a periodic crystal structure on the pseudophoton spectrum

1.4 PXR and Cherenkov radiation at diffraction conditions

1.5 Limitations of the kinematical theory and multiple scattering of electrons

1.6 Various radiation mechanisms from relativistic electrons

1.7 Pioneering experiments on observation of PXR

2. Radiation of a charged particle in periodic media: Classical theory

2.1 Radiation field representation via solution for Maxwell's equations

2.2 Exact solution for PXR from the stack of plates

2.3 Radiation in one-dimensional periodical media: Two-beam approximation

2.4 Kinematic theory of PXR in a thin crystal

2.5 Dynamical diffraction theory and PXR in a bulk crystal

3. Quantum electrodynamics in a crystal

3.1 Quantization of x-ray wave fields in crystals

3.2 Wave functions of stationary states of a relativistic electron

3.3 Diagram technique for calculation of cross-section of electromagnetic process

3.4 Classification of x-ray radiation types from relativistic electrons in crystal

3.5 Multiple scattering of electrons

Part II. Experiments and Applications

4. Characteristics of PXR from relativistic electrons

4.1 Space distribution of PXR reflections

4.2 Spectral distribution of PXR intensity within the Bragg reflection

4.3 Angular distribution of PXR within the Bragg reflection

4.4 Polarization of parametric x-rays

4.5 PXR in the direction of electron velocity

5. Special cases of PXR generation

5.1 PXR in the vicinity of characteristic lines and in Mössbauer crystals

5.2 Dynamical effects in PXR

5.3 PXR under multiple-beam Bragg diffraction

5.4 PXR in case of grazing incidence (exit) diffraction

5.5 Influence of crystal imperfections

5.6 Parametric x-rays from heavy charged particles

6. X-ray radiation from nonrelativistic particles

6.1 PXR intensity dependence on electron energy

6.2 Coherent Bremsstrahlung from nonrelativistic electrons

6.3 Amplitude interference of PXR and coherent Bremsstrahlung

6.4 Spectral and angular distribution of x-rays from nonrelativistic particles in crystal

6.5 X-ray radiation from nonrelativistic electrons in superlattices

7. Prospective PXR applications

7.1 Monochromatic x-ray beam from relativistic electrons

7.2 Tunable source of soft x-rays

7.3 PXR for x-ray structure analysis

7.4 Crystallographic phase problem and PXR

8. Collective effects in PXR within a high-current electron beam

8.1 Interference of g-beams from independent sources

8.2 The coherence of radiation from electrons in the beam

8.3 Parametric beam instability in crystals

8.4 Parametric instability under multiple-beam diffraction

8.5 Quantum effects in the formation of coherent x-ray radiation from electron beam

8.6 Conditions for inverse population due to parametric excitation of Mössbauer nuclei in crystals

Professor V.G.Baryshevsky is the head of "The Research Institute for Nuclear Problems". He is one of the predictor of PXR and some other new physical phenomena in the field of nuclear optics, the author of several monographs concerning the coherent interaction of the particles with condensed matter. He has been awarded by Belarusian National State Scientific Prize, is the author of numerous publications, patents, invited speaker at international conferences.

Professor I.D.Feranchuk has 35-year teaching experience at the Department of Theoretical Physics. He is also one of the PXR predictor and is working actively in the field non-perturbative description of the various quantum systems. He has been awarded by Belarusian National State Scientific Prize, the author of hundreds of publications in recognized international journals.

Dr. A.Ulyanenkov is working in x-ray field since many years, has an academic and industrial experience. The author of numerous publication on x-ray fundamental and industrial studies, has several patents regarding PXR and x-ray in USA, Europe and Japan.