Self-image effects for diffraction and dispersion
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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
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)
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)