Weave Carpet Talbot Effect

When a plane wave is incident upon a periodic diffraction grating the image of the grating is repeated at regular distances away from the grating plane.

Weave carpet talbot effect.

In the talbot effect the pattern of intensity is doubly periodic both across the grating and as a function of distance from the grating. The use of a lens with the talbot effect is explicitly necessary in some purposes. In short the talbot effect can be described as the self imaging of a diffraction grating. The regular distance is called the talbot length and the repeated images are called self images or talbot images.

It is 200 years since thomas young performed his famous double slit experiment but the interference of waves that weave rich tapestries in space and space time continues to provide deep insights into geometrical optics and semi classical limits quantum carpets carpets of light. The talbot effect is a near field diffraction effect first observed in 1836 by henry fox talbot. Nevertheless the understanding of the talbot effect with a lens by the. 5 a1 b1 except δ 1 0 δ 2 15 and δ 3 15 hybrid type eil.

This simple statement does not do justice to the talbot effect however which results in stunning images such as. Talbot carpets by rogue waves a 0 10 20 30 40 50 60 30 25 20 15 10 5 0 a 0 a 1 a 2 a 3 a 4 a 5 a 6 a 7 a 8 a 9 a 10 a 11 a 12 a 13 a 10. Similarly for quantum revivals the probability density is both periodic around the nucleus and as a function of the time evolution of the wave packet. The talbot carpet patterns shown in fig.

The study of the thin glass plates in the talbot effect was also reported. This phenomenon is finding applications not only in optics but also in a variety of research fields such as acoustics electron microscopy plasmonics x ray and bose x2013 einstein condensates. The talbot effect also referred to as self imaging or lensless imaging is of the phenomena manifested by a periodic repetition of planar field distributions in certain types of wave fields. When a plane wave is incident upon a periodic diffraction grating the image of the grating is repeated at regular distances away from the grating plane.

The talbot effect is a diffraction effect first observed in 1836 by henry fox talbot. Introduction the talbot effect or self imaging si is a fascinating physical effect observed at first in the frame of fresnel diffraction 1 2 and generalized later to many domains of wave. The talbot effect has been broadly used in many fields both of classical and quantum optics.