X-ray dynamical diffraction analogues of the integer and fractional Talbot effects

Abstract

The X‐ray integer and fractional Talbot effect is studied under two‐wave dynamical diffraction conditions in a perfect crystal, for the symmetrical Laue case of diffraction. The fractional dynamical diffraction Talbot effect is studied for the first time. A theory of the dynamical diffraction integer and fractional Talbot effect is given, introducing the dynamical diffraction comb function. An expression for the dynamical diffraction polarization‐sensitive Talbot distance is established. At the rational multiple depths of the Talbot depth the wavefield amplitude for each dispersion branch is a coherent sum of the initial distributions, shifted by rational multiples of the object period and having its own phases. The simulated dynamical diffraction Talbot carpet for the Ronchi grating is presented.

Talbot effect in anti-PT symmetric synthetic photonic lattices

“…The Talbot distance Z T is defined as the position at which waves periodically reproduce themselves along the propagation direction [4] . In addition to optics, this effect has also been widely studied and applied in condensed matter [5,6] , quantum revivals [7,8] , X-ray [9,10] , plasmonic [11,12] , electron [13,14] , primenumber decomposition [15] , and so on. Currently, research on the optical Talbot effect has expanded from the spatial domain [16][17][18] to the temporal domain [19][20][21] , from linear to nonlinear [22] , and from continuous media to discrete systems [16][17][18]23] .…”