This chapter covers the principles of the interaction of waves with obstacles and the manner in which information on the nature of an obstacle is contained within the resulting wave forms. The essential mathematics of the interaction of a wave with a perturbing obstacle are derived from first principles and the key significance of the Fourier transform is described in depth — essentially the diffraction pattern of an object is given by the Fourier transform of that object and, most importantly, an image of an object can be obtained by calculating an inverse Fourier transform of its diffraction pattern. The chapter then introduces one of the key experimental limitations of diffraction analysis — the inability to measure the phases of diffracted waves and hence the need for complex computational methods to determine the phases which are outlined in the final chapters of the book.
Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.
If you think you should have access to this title, please contact your librarian.