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Front Cover; Neutron and X-ray Optics; Copyright page; Contents; 1 Introduction; 1.1 Refractive Index for Neutrons and X-rays; 1.2 CRLs-Thin-Lens Approximation: Focal Length, Ray Path Lengths, and Attenuation; 1.3 CRL Arrays; 1.3.1 One-to-One Imaging; 1.3.2 Magnified Imaging; 1.4 Integration on the Complex Plane-Cauchy-Riemann Theorem, Cauchy Integration, and Residues; 1.5 Derivation of the Complex Refractive Index of Material Medium (e.g., Lenses) Based on the Rayleigh Scatter of X-rays an...; 1.5.1 The Electromagnetic Wave Equation in a Vacuum or Dielectric Medium
1.5.2 Electromagnetic Field Produced by an Accelerated Charge1.5.3 Acceleration of a Bound Atomic Electron by an Imposed Electromagnetic Field; 1.5.4 Extraction of the Complex Refractive Index from the Electromagnetic Wave Equation; 1.5.5 Scatter, Absorption, Total Cross Section for Electromagnetic Waves (X-rays); 1.5.6 Derivation of the Optical Theorem; 1.5.7 Derivation of the Kramers-Kronig Relation and Calculation of the Refractive Decrement from the Measured Attenuation C...; 1.6 Refractive of Gammas via Rayleigh and Delbrück Scatter
1.7 Historical Introduction to Gamma Lenses-The Dirac Equation and the Delbrück Effect1.7.1 Refractive Index and Attenuation Cross Section for the Delbrück Refraction of Gammas; 1.7.2 Gamma Refractive Optics-Experimental Results; References; 2 Neutron Refractive Index in Materials and Fields; 2.1 Calculation of General Refractive Decrement for Material or Magnetic Media; 2.2 Comparison of the Electron, Neutron, X-ray, and Light Refractive Index; 2.3 Neutron Decrement for Composite Materials, and Neutron Refraction Due to Decrement Gradient
2.4 Neutron Decrement and Refractive Index in a Gravitational Field2.5 Neutron Spin and Magnetic Dipole Moment Vectors in Applied Magnetic Fields; 2.6 Potential Energy, Force, and Decrement for Neutrons in Applied Magnetic Fields; 2.7 The Bloch Equation and Neutron Precession in an Applied Magnetic Field; 2.8 Temperature Effect on Neutron Spin and Magnetic Dipole Moment Orientation in an Applied Magnetic Field; 2.9 The Bloch Equation and the Lorentz Force Equation; 2.10 Average Spin Polarization of a Neutron in an Applied Magnetic Field
2.11 Equation of Motion of the Expected Value of the Neutron Spin Vector in an Applied Magnetic Field2.12 Expected Values of Quantum Mechanical Quantities Follow Classical Trajectories; 2.13 Average Spin Polarization of a Beam of Neutrons in an Applied Magnetic Field; 2.14 Adiabatic and Nonadiabatic Polarization Rotation About Magnetic Field Lines That Change Direction; 2.15 Magnetic Resonance; 2.16 Ferromagnetic Materials-Domains, Magnetization, Permeability, Susceptibility; 2.17 Law of Refraction of Magnetic Field Lines
2.18 Ferromagnetic Materials with Applied Magnetic Fields and the Hysteresis Loop
Covering a wide range of topics related to neutron and x-ray optics, this book explores the aspects of neutron and x-ray optics and their associated background and applications in a manner accessible to both lower-level students while retaining the detail necessary to advanced students and researchers. It is a self-contained book with detailed mathematical derivations, background, and physical concepts presented in a linear fashion. A wide variety of sources were consulted and condensed to provide detailed derivations and coverage of the topics of neutron and x-ray optics as well as the bac