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Starting with the Iwasawa-type decomposition of a first-order optical system (or ABCD system) as a cascade of a lens, a magnifier, and an orthosymplectic system (a system that is both symplectic and orthogonal), a further decomposition of the or[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova ; Calvo Padilla, María Luisa | Elsevier Science BV | 2007-10-15Gyrator transform is a new tool for manipulation of two-dimensional signals such as images or laser beam profiles. Here we demonstrate various applications of the gyrator transform for image processing. Several aspects such as noise reduction, f[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova ; Davis, Jeffrey A. ; Ramirez, Laura | The International Society for Optical Engineering (SPIE) | 2004We study experimentally and by numerical simulation the Fresnel diffraction on the recently introduced fractal zone plates (ZPs) associated with Cantor sets'. The focusing properties of these ZPs and the evolution of the intensity patterns at th[...]texto impreso
Martínez Matos, Óscar ; Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova ; Cámara, Alejandro ; Cheben, Pavel ; Calvo Padilla, María Luisa | The Optical Society Of America | 2011-03-28In this work, we propose a robust and versatile approach for the characterization of the complex field amplitude of holographically generated coherent-scalar paraxial beams. For this purpose we apply an iterative algorithm that allows recovering[...]texto impreso
Based on the eigenvalues of the ray transformation matrix, a classification of ABCD systems is proposed and some nuclei (i.e., elementary members) in each class are described. In the one-dimensional case, possible nuclei are the magnifier, the l[...]texto impreso
We derive a comprehensive closed-form expression for the evolution of themutual intensity (MI) ofHermite -Laguerre Gaussian Schell-model beams (HLG-SMBs) during propagation through rotationally symmetric optical systems. We demonstrate that the [...]texto impreso
Alieva, Tatiana Krasheninnikova ; Abramochkin, Eugeny ; Rodrigo Martín-Romo, José Augusto | IEEE | 2017-09-18Coherent singular beams, in particular optical vortices, are attractive for different applications: free-space optical communication, imaging, particle manipulation, etc. However, their deformation during propagation through random media and spe[...]texto impreso
Rickenstorff, Carolina ; Rodrigo, José A. ; Alieva, Tatiana Krasheninnikova | Spie-Int Soc Optical Engineering | 2016Different applications such as astronomy, remote optical sensing and free space optical communications, among others, require both numerical and laboratory experimental simulations of beam propagation through turbulent atmosphere prior to an out[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova ; Calvo Padilla, María Luisa ; Davis, Jeffrey A. | Taylor and Francis Ltd. | 2005-12-15The paper reports studies, both experimental and using numerical simulation, of the Fresnel diffraction by recently introduced fractal zone plates associated with triadic and quintic Cantor sets. The evolution of the intensity patterns at planes[...]texto impreso
Alieva, Tatiana Krasheninnikova ; Calvo Padilla, María Luisa | SPIE--The International Society for Optical Engineering | 2003The Fresnel and Fraunhofer diffraction on the regular structures generated by the multiplicative iterative procedures is considered. It is proved that the iterative procedure of field construction is preserved during Fresnel diffraction, meanwhi[...]texto impreso
Based on the ray transformation matrix formalism, we propose a simple method for the identification of the dynamic and geometric parts of the Gouy phase, acquired by an appropriate Gaussian-type beam while propagating through a first-order optic[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova | Optical Society of America | 2015-08-01We show that the propagation of the widely used Schell-model partially coherent light can be easily understood using the ambiguity function. This approach is especially beneficial for the analysis of the mutual intensity of Schell-model beams (S[...]texto impreso
We analyze the evolution of the vortex and the asymmetrical parts of orbital angular momentum during its propagation through separable first-order optical systems. We find that the evolution of the vortex part depends on only parameters a(x), a([...]texto impreso
Kundikova, Nataliya D. ; Ryzhkova, A. V. ; Alieva, Tatiana Krasheninnikova ; Calvo Padilla, María Luisa ; Rodrigo Martín-Romo, José Augusto | Maik Nauka, Interperiodica, Springer-Verlag | 2008-05The effect of the Gaussian beam width on the focusing properties of the chainlike Gaussian beam formed upon diffraction of laser radiation on a binary amplitude mask is studied. It is found that a decrease in the Gaussian beam width increases th[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova ; Calvo Padilla, María Luisa | Optical Society of America | 2007-10The gyrator transform (GT) promises to be a useful tool in image processing, holography, beam characterization, mode transformation, and quantum information. We introduce what we believe to be the first flexible optical experimental setup that p[...]
