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Self-image effects in diffraction and dispersion

dc.contributor.authorRosu Barbus, Haret-Codratian
dc.contributor.authorTreviño Gutiérrez, Juan Pablo
dc.contributor.authorCabrera Ibarra, Hugo
dc.contributor.authorMurguía, José
dc.contributor.editorInstitute for Electromagnetic Research Ltd.
dc.date.accessioned2018-07-11T18:29:30Z
dc.date.available2018-07-11T18:29:30Z
dc.date.issued2006-06
dc.identifier.citationH.C. Rosu, J.P. Treviño, H. Cabrera, and J.S. Murguía. (2006). Self-image Effects in Diffraction and Dispersion. Electromagnetic Phenomena, 6(2) 216-223.
dc.identifier.urihttp://hdl.handle.net/11627/3997
dc.description.abstract"Talbot's self-imaging effect occurrs in near-field diffraction. In the rational paraxial approximation, the Talbot images are formed at distances z=p/q, where p and q are coprimes, and are superpositions of q equally spaced images of the original binary transmission (Ronchi) grating. This interpretation offers the possibility to express the Talbot effect through Gauss sums. Here, we pay attention to the Talbot effect in the case of dispersion in optical fibers presenting our considerations based on the close relationships of the mathematical representations of diffraction and dispersion. Although dispersion deals with continuous functions, such as gaussian and supergaussian pulses, whereas in diffraction one frequently deals with discontinuous functions, the mathematical correspondence enables one to characterize the Talbot effect in the two cases with minor differences. In addition, 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."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.classificationCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
dc.titleSelf-image effects in diffraction and dispersion
dc.typearticle
dc.rights.accessAcceso Abierto


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional