Diffraction effects in semiclassical scattering / H.M. Nussenzveig.

Format:

Book

Author/Creator:

Nussenzveig, H. M. (Herch Moyses)

Contributor:

Cambridge University Press.

Series:

Montroll memorial lecture series in mathematical physics ; 1.

Montroll memorial lecture series in mathematical physics ; 1

Language:

English

Subjects (All):

Scattering (Physics).

Diffraction.

Angular momentum.

Mathematical physics.

Physical Description:

1 online resource (xiii, 238 pages) : illustrations.

Place of Publication:

Cambridge ; New York : Cambridge University Press, 1992.

System Details:

text file

Contents:

1. Critical effects in semiclassical scattering. 1.1. Classical scattering. 1.2. Semiclassical scattering. 1.3. Critical effects

2. Diffraction and Coronae. 2.1. Geometrical optics. 2.2. Classical diffraction theory. 2.3. The corona

3. The rainbow. 3.1. Geometrical-optic theory. 3.2. Wave-optic theory. 3.3. Electromagnetic theory

4. The glory. 4.1. Observations. 4.2. Proposed theories. 4.3. The geometrical theory of diffraction

5. Mie solution and resonances. 5.1. The Mie solution. 5.2. Convergence difficulties. 5.3. Lasing droplets

6. Complex angular momentum. 6.1. The Poisson representation. 6.2. CAM approximations

7. Scattering by an impenetrable sphere. 7.1. WKB and classical diffraction theory approximations. 7.2. Geometrical theory of diffraction. 7.3. Fock's theory of diffraction. 7.4. CAM theory. 7.5. Structure of the hard sphere wave function

8. Diffraction as tunneling. 8.1. Effective potential and edge domain. 8.2. Reinterpretation of the Fock theory. 8.3. Outer and inner representations. 8.4. The CAM approximation. 8.5. The Fock approximation. 8.6. Numerical comparisons. 8.7. Diffraction as a tunneling effect

9. The Debye expansion. 9.1. The effective potential. 9.2. Regge poles. 9.3. The Debye expansion. 9.4. Convergence of the Debye expansion. 9.5. Direct reflection term. 9.6. Direct transmission term

10. Theory of the rainbow. 10.1. The third Debye term. 10.2. The Chester-Friedmann-Ursell method. 10.3. Uniform CAM rainbow approximation. 10.4. CAM rainbow theory predictions. 10.5. Numerical tests. 10.6. Rainbow as a diffraction catastrophe

11. Theory of the glory. 11.1. Observational and numerical glory features. 11.2. Cross-polarization and axial focusing. 11.3. Geometrical-optic and van de Hulst terms. 11.4. Orbiting and leading higher-order terms. 11.5. CAM theory of the glory. 11.6. Explanation of the glory features.

12. Near-critical scattering. 12.1. Geometrical-optic theory. 12.2. Removal of fine structure. 12.3. Interference and physical optics theories. 12.4. Effective potential and leading CAM terms. 12.5. CAM theory of near-critical scattering. 12.6. Planar reflection limit and Goos-Hanchen shift. 12.7. Numerical comparisons

13. Average cross sections. 13.1. Efficiency factors. 13.2. CAM theory of average efficiency factors. 13.3. Numerical results. 13.4. Forward optical glory

14. Orbiting and resonances. 14.1. Effective potential and resonances. 14.2. The poles of the S-function. 14.3. Resonance and background contributions. 14.4. CAM theory of the ripple

15. Macroscopic applications. 15.1. Recent applications of Mie scattering. 15.2. Applications to radiative transfer and to astronomy. 15.3. Applications to acoustics. 15.4. Applications to seismology. 15.5. Nonlinear Mie scattering

16. Applications to atomic, nuclear and particle physics. 16.1. Atomic diffractive and rainbow scattering. 16.2. Atomic glories and orbiting resonances. 16.3. Rainbows in nuclear physics. 16.4. Nuclear glories and surface waves. 16.5. Application to particle physics. 16.6. Why complex angular momentum?

Notes:

Includes bibliographical references and index.

Electronic reproduction. Cambridge Available via World Wide Web.

Description based on print version record.

ISBN:

9780511599903

0511599900

Publisher Number:

99987450406

Access Restriction:

Restricted for use by site license.