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Table of Contents
Prologue; Contents; Chapter 1: Rainbows; 1.1 Optical Rainbows; 1.2 Particle Rainbows; 1.2.1 Atomic Rainbows; 1.2.2 Coulomb and Nuclear Rainbows; 1.2.3 Surface Rainbows; 1.2.4 Crystal Rainbows; Chapter 2: Ion Channeling; 2.1 Basic Facts; 2.2 Interaction Potentials; 2.3 Computer Simulations; 2.3.1 Applicability of Classical Mechanics; 2.3.2 Continuum String Model; 2.3.3 Binary Collision Model; Chapter 3: Crystal Rainbows; 3.1 Ion Channeling in Very Thin Crystals; 3.1.1 Model of Crystal Rainbows; 3.1.2 First Measurements of the Crystal Rainbows; 3.2 Crystal Rainbows as Elementary Catastrophes
3.2.1 Crystal Rainbow Effect as a Catastrophic Effect3.2.2 The 4X9 Catastrophe as the Organizing Center of Crystal Rainbows; 3.3 Zero-Degree Focusing Effect; 3.4 Theory of Crystal Rainbows; Chapter 4: Rainbows in Proton Channeling in Silicon Crystals; 4.1 Rainbow Interaction Potentials; 4.1.1 High-Resolution Measurements of the Crystal Rainbows; 4.1.2 Interaction Potentials; 4.1.3 Morphological Method of Extraction of the Interaction Potentials; 4.2 Inverse Transmission; 4.3 Superfocusing Effect; 4.3.1 Axial Focusing; 4.3.2 Rainbow Subatomic Microscopy
4.3.3 Measurement of the Superfocusing Effect4.4 Doughnut Effect; 4.4.1 Explanation of the Doughnut Effect; 4.4.2 High-Resolution Measurement of the Doughnut Effect; Chapter 5: Rainbows with Protons and Carbon Nanotubes; 5.1 Rainbows with a Straight Very Short Bundle of Nanotubes; 5.1.1 Zero-Degree Focusing Effect; 5.1.2 Rainbow Effect; 5.2 Spatial and Angular Rainbows with a Bent Very Short Nanotube; 5.2.1 Spatial and Angular Distributions; 5.2.2 Spatial and Angular Rainbows; 5.3 Spatial and Angular Rainbows with Straight Very Long Nanotubes; 5.3.1 Spatial Rainbow Effect
5.3.2 Angular Rainbow Effect5.3.3 Trajectories; Chapter 6: Rainbows with Positrons and Carbon Nanotubes; 6.1 Quantum Mechanical Theory of Rainbow Channeling; 6.1.1 Interaction Potentials; 6.1.2 Classical Approach; 6.1.3 Quantum Mechanical Approach; 6.2 Spatial and Angular Primary Rainbows; 6.2.1 Classical Rainbows; 6.2.2 Quantum Rainbows; 6.2.2.1 Quantum Spatial Primary Rainbows for L = 50 nm; 6.2.2.2 Quantum Spatial Primary Rainbows for L = 100 nm; 6.2.2.3 Quantum Angular Primary Rainbows for L = 250 nm; Epilogue; References; Author Index; Subject Index
3.2.1 Crystal Rainbow Effect as a Catastrophic Effect3.2.2 The 4X9 Catastrophe as the Organizing Center of Crystal Rainbows; 3.3 Zero-Degree Focusing Effect; 3.4 Theory of Crystal Rainbows; Chapter 4: Rainbows in Proton Channeling in Silicon Crystals; 4.1 Rainbow Interaction Potentials; 4.1.1 High-Resolution Measurements of the Crystal Rainbows; 4.1.2 Interaction Potentials; 4.1.3 Morphological Method of Extraction of the Interaction Potentials; 4.2 Inverse Transmission; 4.3 Superfocusing Effect; 4.3.1 Axial Focusing; 4.3.2 Rainbow Subatomic Microscopy
4.3.3 Measurement of the Superfocusing Effect4.4 Doughnut Effect; 4.4.1 Explanation of the Doughnut Effect; 4.4.2 High-Resolution Measurement of the Doughnut Effect; Chapter 5: Rainbows with Protons and Carbon Nanotubes; 5.1 Rainbows with a Straight Very Short Bundle of Nanotubes; 5.1.1 Zero-Degree Focusing Effect; 5.1.2 Rainbow Effect; 5.2 Spatial and Angular Rainbows with a Bent Very Short Nanotube; 5.2.1 Spatial and Angular Distributions; 5.2.2 Spatial and Angular Rainbows; 5.3 Spatial and Angular Rainbows with Straight Very Long Nanotubes; 5.3.1 Spatial Rainbow Effect
5.3.2 Angular Rainbow Effect5.3.3 Trajectories; Chapter 6: Rainbows with Positrons and Carbon Nanotubes; 6.1 Quantum Mechanical Theory of Rainbow Channeling; 6.1.1 Interaction Potentials; 6.1.2 Classical Approach; 6.1.3 Quantum Mechanical Approach; 6.2 Spatial and Angular Primary Rainbows; 6.2.1 Classical Rainbows; 6.2.2 Quantum Rainbows; 6.2.2.1 Quantum Spatial Primary Rainbows for L = 50 nm; 6.2.2.2 Quantum Spatial Primary Rainbows for L = 100 nm; 6.2.2.3 Quantum Angular Primary Rainbows for L = 250 nm; Epilogue; References; Author Index; Subject Index