Homometry in the light of coherent beams

Abstract

Two systems are homometric if they are indistinguishable by diffraction. We first make a distinction between Bragg and diffuse scattering homometry, and show that in the last case, coherent diffraction can allow the diffraction diagrams to be differentiated. The study of the Rudin-Shapiro sequence, homometric to random sequences, allows one to manipulate independently two-point and four-point correlation functions, and to show their effect on the statistics of speckle patterns. Consequences for the study of real materials is discussed.

5 pages, 4 figures, article, rewritten

References in corpus (4)

• Coherence Properties of Individual Femtosecond Pulses of an X-ray Free-Electron Laser
• X-ray cross-correlation analysis and local symmetries of disordered systems. I. General theory
• Can Kinematic Diffraction Distinguish Order from Disorder?
• Diffraction of limit periodic point sets

Cited by in corpus (1)

• Persistence of Island Arrangements During Layer-by-Layer Growth Revealed Using Coherent X-rays