Self-image effects for diffraction and dispersion
Optics
2007-05-23 v1
Abstract
Excerpt: We apply the wavelet transform to the fractal Talbot effect in both diffraction and fiber dispersion. In the first case, the self similar character of the transverse paraxial field at irrational multiples of the Talbot distance is confirmed, whereas in the second case it is shown that the field is not self similar for supergaussian pulses. Finally, a high-precision measurement of irrational distances employing the fractal index determined with the wavelet transform is pointed out
Cite
@article{arxiv.physics/0603019,
title = {Self-image effects for diffraction and dispersion},
author = {H. C. Rosu and J. P. Trevino and H. Cabrera and J. S. Murguia},
journal= {arXiv preprint arXiv:physics/0603019},
year = {2007}
}
Comments
12 pp, 5 figs: the first 4 are to be found as figs. 3-6 at http://arxiv.org/abs/physics/0510067 contribution at Zacatecas miniworkshop "Math. Physics: Symmetries" (Dec/05)