Diffraction Effects in Semiclassical Scattering
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This book deals with the theory of critical effects in semiclassical scattering, in which the standard approximations break down. Such critical effects are responsible for phenomena such as rainbows and glories.Critical effects in semiclassical scattering, in which the standard approximations break down, are associated with forward peaking, rainbows, glories, orbiting and resonances. Besides giving rise to beautiful optical effects in the atmosphere, critical effects have important applications in many areas of physics. However, their interpretation and accurate treatment is difficult. This bo...
This book deals with the theory of critical effects in semiclassical scattering, in which the standard approximations break down. Such critical effects are responsible for phenomena such as rainbows and glories.
Critical effects in semiclassical scattering, in which the standard approximations break down, are associated with forward peaking, rainbows, glories, orbiting and resonances. Besides giving rise to beautiful optical effects in the atmosphere, critical effects have important applications in many areas of physics. However, their interpretation and accurate treatment is difficult. This book, based on the Elliott Montroll Lectures, given at the University of Rochester, deals with the theory of these critical effects. After a preliminary chapter in which the problem of critical effects is posed, the next three chapters on coronae, rainbows and glories are written so as to be accessible to a broader audience. The main part of the book then describes the results obtained from the application of complex angular momentum techniques to scattering by homogeneous spheres. These techniques lead to practically usable asymptotic approximations, and to new physical insights into critical effects. A new conceptual picture of diffraction, regarded as a tunnelling effect, emerges. The final two chapters contain brief descriptions of applications to a broad range of fields, including linear and nonlinear optics, radiative transfer, astronomy, acoustics, seismology, atomic, nuclear and particle physics.
Review quote:
'Nicely written and well organized, the book may be useful to research workers in these areas - The material is also accessible to graduate students - I hope that the relatively low price will help to distribute this work into many physical libraries.' Optik
Table of contents:
1. Critical effects in semiclassical scattering; 2. Diffraction and coronae; 3. The rainbow; 4. The glory; 5. Mie solution and resonances; 6. Complex angular momentum; 7. Scattering by an impenetrable sphere; 8. Diffraction as tunnelling; 9. The Debye expansion; 10. Theory of the rainbow; 11. Theory of the glory; 12. Near-critical scattering; 13. Average cross sections; 14. Orbiting and resonances; 15. Macroscopic applications; 16. Applications to atomic, nuclear and particle physics; References; Index.
Critical effects in semiclassical scattering, in which the standard approximations break down, are associated with forward peaking, rainbows, glories, orbiting and resonances. Besides giving rise to beautiful optical effects in the atmosphere, critical effects have important applications in many areas of physics. However, their interpretation and accurate treatment is difficult. This book, based on the Elliott Montroll Lectures, given at the University of Rochester, deals with the theory of these critical effects. After a preliminary chapter in which the problem of critical effects is posed, the next three chapters on coronae, rainbows and glories are written so as to be accessible to a broader audience. The main part of the book then describes the results obtained from the application of complex angular momentum techniques to scattering by homogeneous spheres. These techniques lead to practically usable asymptotic approximations, and to new physical insights into critical effects. A new conceptual picture of diffraction, regarded as a tunnelling effect, emerges. The final two chapters contain brief descriptions of applications to a broad range of fields, including linear and nonlinear optics, radiative transfer, astronomy, acoustics, seismology, atomic, nuclear and particle physics.
Review quote:
'Nicely written and well organized, the book may be useful to research workers in these areas - The material is also accessible to graduate students - I hope that the relatively low price will help to distribute this work into many physical libraries.' Optik
Table of contents:
1. Critical effects in semiclassical scattering; 2. Diffraction and coronae; 3. The rainbow; 4. The glory; 5. Mie solution and resonances; 6. Complex angular momentum; 7. Scattering by an impenetrable sphere; 8. Diffraction as tunnelling; 9. The Debye expansion; 10. Theory of the rainbow; 11. Theory of the glory; 12. Near-critical scattering; 13. Average cross sections; 14. Orbiting and resonances; 15. Macroscopic applications; 16. Applications to atomic, nuclear and particle physics; References; Index.
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