Appendix A: The Cornu Spiral
Published:January 01, 2016
In Appendix A, we include a new translation of M. Alfred Cornu’s work, defining what is now known as the Cornu spiral. Early modeling of the diffraction response was facilitated by Cornu’s graphical representation of the Fresnel integral. The Cornu spiral is found in modern textbooks on diffraction because it provides an invaluable conceptual representation of the forward problem.
Figures & Tables
Classical and Modern Diffraction Theory
Providing geophysicists with an in-depth understanding of the theoretical and applied background for the seismic diffraction method, “Classical and Modern Diffraction Theory” covers the history and foundations of the classical theory and the key elements of the modern diffraction theory. Chapters include an overview and a historical review of classical theory, a summary of the experimental results illustrating this theory, and key principles of the modern theory of diffraction; the early cornerstones of classical diffraction theory, starting from its inception in the 17th century and an extensive introduction to reprinted works of Grimaldi, Huygens, and Young; details of the classical theory of diffractions as developed in the 19th century and reprinted works of Fresnel, Green, Helmholtz, Kirchhoff, and Rayleigh; and the cornerstones of the modern theory including Keller’s geometrical theory of diffraction, boundary-layer theory, and super-resolution. Appendices on the Cornu spiral and Babinet’s principle are also included.