1303.3792 (Sylvain Ravy)

Homometry in the light of coherent beams    [PDF]

Sylvain Ravy

In this letter, we demonstrate that two structures with identical two-point correlation functions (homometric) but different high-order correlation ones can be differentiated by coherent diffraction. We first give evidence that the Rudin-Shapiro sequence is long-range ordered with respect to one of its four-point correlation function, and then show that the statisics of its speckle pattern is remarkably different from that of a random sequence, though having the same diffuse scattering pattern. Disordering this sequence allows one to show that even short-range ordered quadruplet correlations have an influence on the diffraction pattern intensity statistics. This proves that high-order correlation functions, invisible through uncoherent light, can be revealed with coherent beams.

View original: http://arxiv.org/abs/1303.3792