Mathematical Foundations of Imaging, Tomography and Wavefield Inversion
eBook - PDF

Mathematical Foundations of Imaging, Tomography and Wavefield Inversion

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  3. Available on iOS & Android
eBook - PDF

Mathematical Foundations of Imaging, Tomography and Wavefield Inversion

Book details
Table of contents
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About This Book

Inverse problems are of interest and importance across many branches of physics, mathematics, engineering and medical imaging. In this text, the foundations of imaging and wavefield inversion are presented in a clear and systematic way. The necessary theory is gradually developed throughout the book, progressing from simple wave equation based models to vector wave models. By combining theory with numerous MATLAB based examples, the author promotes a complete understanding of the material and establishes a basis for real world applications. Key topics of discussion include the derivation of solutions to the inhomogeneous and homogeneous Helmholtz equations using Green function techniques; the propagation and scattering of waves in homogeneous and inhomogeneous backgrounds; and the concept of field time reversal. Bridging the gap between mathematics and physics, this multidisciplinary book will appeal to graduate students and researchers alike. Additional resources including MATLAB codes and solutions are available online at www.cambridge.org/9780521119740.

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Yes, you can access Mathematical Foundations of Imaging, Tomography and Wavefield Inversion by Anthony J. Devaney in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Optics & Light. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2012
ISBN
9781139511858
Topic
Physical Sciences
Subtopic
Optics & Light

Table of contents

  1. Cover
  2. Mathematical Foundations of Imaging, Tomography and Wavefield Inversion
  3. Title
  4. Copyright
  5. Contents
  6. Preface
  7. 1: Radiation and initial-value problems for the wave equation
  8. 2: Radiation and boundary-value problems in the frequency domain
  9. 3: Eigenfunction expansions of solutions to the Helmholtz equation
  10. 4: Angular-spectrum and multipole expansions
  11. 5: The inverse source problem
  12. 6: Scattering theory
  13. 7: Surface scattering and diffraction
  14. 8: Classical inverse scattering and diffraction tomography
  15. 9: Waves in inhomogeneous media
  16. 10: Time-reversal imaging for systems of discrete scatterers
  17. 11: The electromagnetic field
  18. Appendix A Proof of the scattering amplitude theorems
  19. Appendix B Derivation of the generalized Weyl expansion
  20. References
  21. Index