Diffraction Optics of Complex-Structured Periodic Media

Probing matter with beams of photons, neutrons and electrons provides the main source of information about both the microscopic and macroscopic structure of materials. This is particularly true of media, such as crystals and liquid crystals, that have a periodic structure. This book discusses the interaction of waves (which may represent x-rays, gamma rays, electrons, or neutrons) with various kinds of ordered media. After two chapters dealing with exact and approximate solutions to the scattering problem in periodic media in general, the author discusses: the diffraction of Mößbauer radiation in magnetically ordered crystals; the optics of chiral liquid crystals; the radiation of fast particles in regular media (Cherenkov radiation); nonlinear optics of periodic media; neutron scattering in magnetically ordered media; polarization phenomena in x-ray optics; magnetic x-ray scattering; and Mößbauer filtration of synchrotron radiation.

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1 Waves in Media with One-Dimensional Periodicity (Exact Solution).- 1.1 Layered Medium.- 1.2 Optics of Cholesterics (Exact Solution).- 1.3 Solution of Boundary Problem.- References.- 2 Approximate Description of Interaction of Radiation with Regular Media.- 2.1 Kinematical Approximation.- 2.2 Dynamical Theory.- References.- 3 Diffraction of Mössbauer Radiation in Magnetically Ordered Crystals.- 3.1 Diffraction of Mössbauer Radiation.- 3.2 Amplitude of Coherent Mössbauer Scattering.- 3.3 Kinematical Theory of Mössbauer Diffraction.- 3.4 Dynamical Theory of Mössbauer Diffraction.- References.- 4 Optics of Chiral Liquid Crystals.- 4.1 Optics of Cholesteric Liquid Crystals (CLC).- 4.2 Absorbing Cholesteric Liquid Crystals.- 4.3 Chiral Smectic Liquid Crystals.- 4.4 Blue Phase of Liquid Crystals.- References.- 5 Radiation of Fast Charged Particles in Regular Media.- 5.1 Structure Cherenkov Radiation (Kinematical Approximation).- 5.2 Coherent Coulomb Excitation of a Mössbauer Transition in a Single Crystal.- 5.3 Structure Cherenkov Radiation in a Cholesteric Liquid Crystal.- 5.4 Dynamic Theory of Coherent Radiation of Fast Charged Particles in Regular Media.- References.- 6 Nonlinear Optics of Periodic Media.- 6.1 Enhancement of Efficiency of the Nonlinear Transformation of Optical Frequencies in Periodic Medium.- 6.2 Third Harmonic Generation in a Cholesteric Liquid Crystal.- 6.3 Phase-Matching Conditions Independent of Frequency Dispersion.- 6.4 Nonlinear Generation of Harmonics in Blue Phase of Liquid Crystals.- References.- 7 Dynamic Scattering of Thermal Neutrons in Magnetically Ordered Crystals.- 7.1 Scattering Amplitude of Thermal Neutrons.- 7.2 System of Dynamic Equations.- 7.3 Structures with Compensated Magnetic Moment of a Unit Cell.- 7.4 Dynamic Scatteringin Magnetically Ordered Structures of the General Type.- References.- 8 Polarization Phenomena in X-Ray Optics.- 8.1 Polarization Phenomena in Diffraction.- 8.2 Anisotropy of X-Ray Susceptibility.- 8.3 Polarization Effects in X-Ray Optical Components.- 804 Conclusions.- References.- 9 Magnetic X-Ray Scattering.- 9.1 Magnetic Scattering.- 9.2 Polarization Properties of Magnetic Scattering.- 9.3 X-Ray Resonance Magnetic Scattering.- 904 X-Ray Magnetic Birefringence and Dichroism.- References.- 10 Mössbauer Filtration of Synchrotron Radiation.- 10.1 On Synchrotron Radiation Sources and Mössbauer Filtration.- 10.2 The First Observations of Mössbauer Filtration.- 10.3 Speed-Up of Mössbauer Scattering in Crystals.- 10.4 Temporal Quantum Beats in Mössbauer Filtration of SR.- 10.5 Future Mössbauer Experiments with Synchrotron Radiation.- 10.6 Coherent Inelastic Mössbauer Scattering.- 10.7 Recent Experiments on Mössbauer Filtration.- References.