## Handbook of Neutron OpticsWritten by authors with an international reputation, acknowledged expertise and teaching experience, this is the most up-to-date resource on the field. The text is clearly structured throughout so as to be readily accessible, and begins by looking at scattering of a scalar particle by one-dimensional systems. The second section deals with the scattering of neutrons with spin in one-dimensional potentials, while the third treats dynamical diffraction in three-dimensional periodic media. The final two sections conclude with incoherent and small angle scattering, and some problems of quantum mechanics. With its treatment of the theories, experiments and applications involved in neutron optics, this relevant reading for nuclear physicists and materials scientists alike. |

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### Contents

2 Reflection Refraction and Transmission of Unpolarized Neutrons | 31 |

3 Reflection Refraction and Larmor Precession of Polarized Neutrons | 71 |

4 Quantum Mechanics of Scalar Neutron Waves in One Dimension | 113 |

5 OneDimensional Scattering of Neutrons with Spin | 191 |

6 Optical Phenomena in Neutron Diffraction and Scattering | 257 |

7 Dynamical Diffraction in Threedimensional Periodic Media | 291 |

8 Disordered Media Incoherent and SmallAngle Scattering | 339 |

9 Neutron Interference and Phase Observation | 389 |

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### Common terms and phrases

ˇ ˇ ˇ absorption according to Eq analyzer angular atoms Bragg calculated coefficient coherence length cold neutrons component consider cross section density detector diffraction direction distribution effect energy experiment experimental results Ignatovich incident neutrons incident wave inhomogeneity intensity interface interference pattern interferometer Larmor precession lattice layer Lett magnetic field matrix measured method mirror multilayer neutron beam neutron interferometry neutron optics neutron reflectivity neutron reflectometry neutron scattering neutron spin neutron wave obtain optical potential parameters particle phase photons Phys plane wave polarized neutron propagation quantum mechanics reactor reflection amplitude reflection and transmission reflectometry refractive resonance rotation sample scattering amplitude Schrödinger equation shown in Figure slit solution spin flip spinor structure supermirror superposition surface theoretical theory thickness tion total reflection tron ultracold neutrons Utsuro velocity wave function wave number wave packet wave vector wavelength width