An introduction to electromagnetic inverse scattering /

An introduction to electromagnetic inverse scattering /

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Bibliographic Details
Main Author: Hopcraft, K. I.
Other Authors: Smith, P. R. Ph. D.
Format: Book
Language:English
Published: Dordrecht ; Boston : Kluwer Academic Publishers, c1992.
Series:Developments in electromagnetic theory and applications ; 7.
Subjects:
Electromagnetic waves > Scattering.
Inverse scattering transform.
Electromagnetic radiation
Online Access:Publisher description
Table of contents only
Table of Contents:
  • 1. Introduction. 1.1. What is inverse scattering? 1.2. Why study inverse scattering. 1.3. An historical sketch. 1.4. How to solve inverse problems. 1.5. Inverse solutions and measured data
  • 1.6. Bibliography
  • 2. Mathematics of E.M. Waves. 2.1. The wave equation for electromagnetic fields. 2.2. The Fourier transform. 2.3. Fourier analysis and the wave equation. 2.4. Fourier spectra and scattering coefficients. 2.5. Scattering of plane waves at an interface. 2.6. Integral representation of the wave equation. 2.7. Green's functions and the scattering equation. 2.8. The Laplace transform. 2.9. Eigenvalues and eigensolutions. 2.10. Riccati equation for the reflection coefficient. 2.11. Demonstration on a canonical problem
  • 2.12. Bibliography
  • 3. Linearized Inverse Solutions. 3.1. Linear equations, solutions and transformations. 3.2. The Born solution. 3.3. Linearizing the reflection coefficient. 3.4. The Rytov solution. 3.5. Phase unwrapping.
  • 3.6. Demonstration on a canonical problem
  • 3.7. Summary
  • 3.8. Bibliography
  • 4. Higher Order Integral Solutions. 4.1. Higher order Born approximations. 4.2. Distorted wave methods. 4.3. High frequency asymptotic approximation. 4.4. Abel inversion. 4.5. Considering real data. 4.6. Demonstration on a canonical problem
  • 4.7. Summary
  • 4.8. Bibliography
  • 5. Higher Order Differential Solutions
  • 5.1. Introduction. 5.2. Multiple scales method. 5.3. Renormalization of the field. 5.4. Circle diagrams. 5.5. Demonstration on a canonical problem
  • 5.6. Summary
  • 5.7. Bibliography
  • 6. Exact Solutions
  • 6.1. Introduction. 6.2. The Gel'fand-Levitan solution. 6.3. The Balanis solution. 6.4. The three-dimensional problem. 6.5. Demonstration on a canonical problem
  • 6.6. Summary
  • 6.7. Bibliography
  • 7. Inverse Scattering In Practice. 7.1. Remote Sensing. 7.2. Tomography. 7.3. Optical design. 7.4. Ionospheric sounding. 7.5. Ellipsometry
  • 7.6. References.

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