Información del autor
Autor Alieva, Tatiana Krasheninnikova |
Documentos disponibles escritos por este autor (71)
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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[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova | Society of Photo-optical Instrumentation Engineers | 2015-03-11We present a novel technique for coherence engineering of the microscope illumination based on a DLP projector providing fast (millisecond range) switchable both temporal and spatial coherence design. Its performance is experimentally demonstrat[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Soto Rueda, Juan Manuel ; Alieva, Tatiana Krasheninnikova | Society of Photo-Optical Instrumentation Engineers (SPIE) | 2019Partially coherent optical diffraction tomography (PC-ODT) is a labelfree quantitative 3D imaging technique based on the refractive index contrast. It provides fast non-interferometric speckle noise-free imaging compatible with conventional wide[...]texto impreso
It is shown that a lossless first-order optical system whose real symplectic ray transformation matrix can be diagonalized and has only unimodular eigenvalues is similar to a separable fractional Fourier transformer in the sense that the ray tra[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova ; Calvo Padilla, María Luisa | American Institute of Physics (AIP) | 2006In this work we propose a flexible symmetric configuration for the separable fractional FT composed by three generalized lenses. The distances between the lenses are fixed. The fractional angles are acieved by means of lens rotations.texto impreso
Calvo Padilla, María Luisa ; Alieva, Tatiana Krasheninnikova ; Bastiaans, Martin J. ; Rodrigo Martín-Romo, José Augusto ; Rodríguez Merlo, D. | SPIE--The International Society for Optical Engineering | 2004We present a short overview on the application of fractional cyclic and linear canonical transformations to optical signal processing and dedicate some of the discussions to the particular features found in the fractional Fourier transform domain.texto impreso
Davis, Jeffrey A. ; Ramirez, Laura ; Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova ; Calvo Padilla, María Luisa | Alan E. Willner, University of Southern California | 2004-06-15We report the first experimental results, to our knowledge, with fractal zone plates implemented in a liquid-crystal display. Our results largely agree with theory for the axial irradiance distribution of these lenses. The dependence of the shap[...]texto impreso
Bastiaans, Martin J. ; Alieva, Tatiana Krasheninnikova ; Calvo Padilla, María Luisa | Hindawi Publishing Corporation | 2005-07-01We review the progress achieved in optical information processing during the last decade by applying fractional linear integral transforms. The fractional Fourier transform and its applications for phase retrieval, beam characterization, space-v[...]texto impreso
In this study the general algorithm for the fractionalization of the linear cyclic integral transforms is established. It is shown that there are an infinite number of continuous fractional transforms related to a given cyclic integral transform[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Rodríguez Merlo, Daniel ; Calvo Padilla, María Luisa ; Alieva, Tatiana Krasheninnikova | Maik Nauka, Interperiodica, Springer-Verlag | 2003-07Experimental results are presented for light diffraction under the Fresnel regime by two types of fractal gratings: triadic Cantor bars and Vicsek fractals. It is shown that the evolution of the diffraction patterns in the Fresnel regions reveal[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Cheben, Pavel ; Alieva, Tatiana Krasheninnikova ; Calvo Padilla, María Luisa ; Scott, Alan ; Solheim, Brian ; Xu, Dan-Xia ; Delâge, André | The Optical Society Of America | 2007-12-10We present an analysis of Fourier-transform arrayed waveguide gratings in the Fresnel diffraction regime. We report a distinct spatial modulation of the interference pattern referred to as the Moire-Talbot effect. The effect and its influence in[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova ; Calvo Padilla, María Luisa | The International Society for Optical Engineering (SPIE) | 2006Wide application of the laser beams in science, technology and biomedicine demands the generation of the beams with desirable structure. In particular for optical trapping the beams with high transversal gradient of intensity distribution or dou[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova ; Calvo Padilla, María Luisa | The Optical Society Of America | 2007-03-05In this work we formulate the main properties of the gyrator operation which produces a rotation in the twisting (position-spatial frequency) phase planes. This transform can be easily performed in paraxial optics that underlines its possible ap[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova | Optical Society of America | 2014-10-01Partially coherent illumination provides significant advantages such as speckle-free imaging and enhanced optical sectioning in optical microscopy. The knowledge of the spatial and temporal coherence is crucial to obtain accurate quantitative ph[...]texto impreso
Calvo Padilla, María Luisa ; Alieva, Tatiana Krasheninnikova | Maik Nauka, Interperiodica, Springer-Verlag | 2003-07Image reconstruction from amplitude-only and phase-only data in the fractional Fourier domain applying the inverse fractional Fourier transform is analyzed on the examples of perfect edges of different contrasts and real-world image.texto impreso
The importance of the amplitude and phase in the fractional Fourier transform (FT) domain is analyzed on the basis of the rectangular signal and the real-world image. The quality of signal restoration from only the amplitude or from only the pha[...]texto impreso
Alieva, Tatiana Krasheninnikova ; Rodrigo Martín-Romo, José Augusto ; Calvo Padilla, María Luisa | American Institute of Physics (AIP) | 2007We introduce the gyrator transform which produces a rotation of two-dimensional signal in phase space. Main properties of this transform are considered. The flexible optical set up for gyrator transform experimental implementation is discussed. [...]texto impreso
Soto Rueda, Juan Manuel ; Rodrigo Martín-Romo, José Augusto ; Mas, Alicia ; Domínguez Bernal, Gustavo ; Alieva, Tatiana Krasheninnikova | Wiley?VCH Verlag GmbH | 2019-09In this work, we report the use of refractive index (RI) tomography for quantitative analysis of unstained DH82 cell line infected with Leishmania infantum. The cell RI is reconstructed by using a modality of optical diffraction tomography techn[...]texto impreso
Soto Rueda, Juan Manuel ; Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova | Optical Soc Amer | 2017-07-10Crucial benefits provided by partially coherent light microscopy such as improved spatial resolution, optical sectioning and speckle-noise suppression are exploited here to achieve 3D quantitative imaging: reconstruction of the object refractive[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova | Nature Publishing Group | 2016-09-20Laser traps provide contactless manipulation of plasmonic nanoparticles (NPs) boosting the development of numerous applications in science and technology. The known trapping configurations allow immobilizing and moving single NPs or assembling t[...]texto impreso
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Rodrigo Martín-Romo, José Augusto ; Caravaca Aguirre, Antonio Miguel ; Alieva, Tatiana Krasheninnikova ; Cristóbal Pérez, Gabriel ; Calvo Padilla, María Luisa | The Optical Society Of America | 2011-03-14Three-dimensional microparticle movements induced by laser beams with a funnel- and tubular pod-like structure, in the neighbourhood of the focal plane of an optical trapping setup, are experimentally studied. The funnel and pod beams constructe[...]texto impreso
The relationship between the mode content and the fractional Fourier and fractional Hankel transforms of a function is established. It is shown that the Laguerre-Gauss spectrum of a rotationally symmetric wave front can be determined from the wa[...]texto impreso
A Collins transformation maps an orthonormal set of Hermite-Gaussian modes into an orthonormal set of beams with a Gaussian envelope. Among these beams are Laguerre-Gaussian beams and the recently introduced Hermite-Laguerre-Gaussian beams. Comp[...]texto impreso
The Wigner distribution of rotationally symmetric partially coherent light is considered, and the constraints for its moments are derived. Although all odd-order moments vanish, these constraints lead to a drastic reduction in the number of para[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Duadi, Hamootal ; Alieva, Tatiana Krasheninnikova ; Zalevsky, Zeev | The Optical Society Of America | 2010-01-18The gyrator transform is a useful tool for optical information processing applications. In this work we propose a multi-stage phase retrieval approach based on this operation as well as on the well-known Gerchberg-Saxton algorithm. It results in[...]texto impreso
Cámara, Alejandro ; Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova | The Optical Society Of America | 2013-06-03Partially coherent light provides attractive benefits in imaging, beam shaping, free-space communications, random medium monitoring, among other applications. However, the experimental characterization of the spatial coherence is a difficult pro[...]texto impreso
Soto Rueda, Juan Manuel ; Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova | Optical Society of America | 2018-01-01Quantitative label-free imaging is an important tool for the study of living microorganisms that, during the last decade, has attracted wide attention from the optical community. Optical diffraction tomography (ODT) is probably the most relevant[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova ; Calvo Padilla, María Luisa | Optical Society of America | 2006-10On the basis of a matrix formalism, we analyze the paraxial optical systems composed by generalized lenses and fixed free-space intervals, suitable for orthosymplectic transformations in phase space. Flexible configurations to perform the attrac[...]texto impreso
Cámara, Alejandro ; Alieva, Tatiana Krasheninnikova ; Rodrigo Martín-Romo, José Augusto ; Calvo Padilla, María Luisa | Society of Photo-Optical Instrumentation Engineers (SPIE) | 2011The application of partially coherent optical beams for imaging, free space communication, random medium analysis requires controlling its mutual intensity. This task can be done using the phase-space tomography method consisting on the reconstr[...]texto impreso
A family of orthonormal mode sets arises when Hermite-Gauss modes propagate through lossless first-order optical systems. It is shown that the modes at the output of the system are eigenfunctions for the symmetric fractional Fourier transformati[...]texto impreso
We consider Fresnel and Fraunhofer diffraction on regular structures generated by multiplicative iterative procedures. We prove that the iterative procedure of field construction is preserved during Fresnel diffraction, while the initiator of th[...]texto impreso
Alieva, Tatiana Krasheninnikova ; Rodrigo Martín-Romo, José Augusto ; Cámara, A. ; Abramochkin, E. | Optical Society of America | 2013-11-01Stable and spiral coherent beams, which do not change the form of their intensity distribution apart from possible scaling and rotation during propagation and therefore possess self-healing properties, are widely applied in science and technolog[...]texto impreso
We introduce the orbital Stokes parameters as a linear combination of a beam's second-order moments. Similar to the ones describing the field polarization and associated with beam energy and its spin angular momentum, the orbital Stokes paramete[...]texto impreso
Cámara, Alejandro ; Alieva, Tatiana Krasheninnikova ; Rodrigo Martín-Romo, José Augusto ; Calvo Padilla, María Luisa | Optical Society of America | 2009-06We propose a simple approach for the phase space tomography reconstruction of the Wigner distribution of paraxial optical beams separable in Cartesian coordinates. It is based on the measurements of the antisymmetric fractional Fourier transform[...]texto impreso
Cámara, Alejandro ; Alieva, Tatiana Krasheninnikova ; Rodrigo Martín-Romo, José Augusto ; Calvo Padilla, María Luisa | The Optical Society Of America | 2011-07-11We show the adaptation of a multifunctional optical system consisting of two spatial light modulators for the optimal measurement of the Radon-Wigner transform of one-dimensional signals. The proposed Radon-Wigner display allows reconstructing t[...]texto impreso
Martínez Matos, Óscar ; Calvo Padilla, María Luisa ; Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova ; Hernández Garay, María de la Paz ; Cheben, Pavel ; Martí Panameño, Erwin José Armando | IEEE | 2009We present an overview of the main properties and the emerging implementations corresponding to a photopolymerizable glass modified with high refractive index species (HRIS) incorporated at molecular level. The study concerns to transmission and[...]texto impreso
Laser radiation pressure is a basis of numerous applications in science and technology such as atom cooling, particle manipulation, material processing, etc. This light force for the case of scalar beams is proportional to the intensity-weighted[...]texto impreso
Alieva, Tatiana Krasheninnikova ; Calvo Padilla, María Luisa ; Bastiaans, Martin J. | SPIE--The International Society for Optical Engineering | 2003The main properties of n-th order power filtering in the fractional Fourier domain and its relationship to the differentiation operation are considered. The. application of power filtering for solving the phase retrieval problem is proposed.texto impreso
Bastiaans, Martin J. ; Alieva, Tatiana Krasheninnikova ; Calvo Padilla, María Luisa | IOP Publishing | 2002-09-13The main properties of the power filtering operation in the fractional Fourier domain and its relationship to the differentiation operation are considered. The application of linear power filtering for solving the phase retrieval problem from in[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Angulo Curto, María de las Mercedes ; Alieva, Tatiana Krasheninnikova | Optical Society of America | 2018-09-01A freestyle single-beam laser trap allows for multi-particle optical transport along arbitrary open or closed trajectories with independent control of the all-optical confinement and propulsion forces exerted over the particles. Here, exploiting[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova ; Calvo Padilla, María Luisa | The Optical Society Of America | 2009-03-30A flexible optical system able to perform the fractional Fourier transform (FRFT) almost in real time is presented. In contrast to other FRFT setups the resulting transformation has no additional scaling and phase factors depending on the fracti[...]texto impreso
Angulo Curto, María de las Mercedes ; Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova | Optical Society of America | 2019-05-16The recently introduced concept of coherent polymorphic beam (PB), which is focused into a 2D light curve of arbitrary form with independently prescribed phase along it, is a fruitful generalization of the "perfect" ring vortex and opens up new [...]texto impreso
We provide a general expression and different classification schemes for the general two-dimensional canonical integral transformations that describe the propagation of coherent light through lossless first-order optical systems. Main theorems f[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova | The Optical Society Of America | 2014-06-02Partially coherent light provides promising advantages for imaging applications. In contrast to its completely coherent counterpart, it prevents image degradation due to speckle noise and decreases cross-talk among the imaged objects. These fact[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova | Optical Society of America | 2014-02-15Partially coherent light is often preferable to its completely coherent counterpart in applications such as imaging, sensing, and free-space optical communications. To fully exploit its advantages, techniques able to retrieve information carried[...]texto impreso
Alieva, Tatiana Krasheninnikova ; Abramochkin, Eugeny ; Asenjo García, Ana ; Razueva, Evgeniya | The Optical Society Of America | 2010-02-15Based on the ray transformation matrix formalism, we propose a simple method for generation of paraxial beams performing anisotropic rotation in the phase space during their propagation through isotropic optical systems. The widely discussed spi[...]texto impreso
Hermite-Gauss and Laguerre-Gauss modes of a continuous optical field in two dimensions can be obtained from each other through paraxial optical setups that produce rotations in (four-dimensional) phase space. These transformations build the SU(2[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova ; Abramochkin, Eugeny ; Castro, Izan | The Optical Society Of America | 2013-09-09We present a method for efficient and versatile generation of beams whose intensity and phase are prescribed along arbitrary 3D curves. It comprises a non-iterative beam shaping technique that does not require solving inversion problems of light[...]texto impreso
Based on the analysis of second-order moments, a generalized canonical representation of a two-dimensional optical signal is proposed, which is associated with the angular Poincare sphere. Vortex-free ( or zero-twist) optical beams arise on the [...]texto impreso
Alieva, Tatiana Krasheninnikova ; Cámara, Alejandro ; Rodrigo Martín-Romo, José Augusto | Society of Photo-optical Instrumentation Engineers | 2015-03-13Partially coherent light provides attractive benefits for different applications in microscopy, astronomy, telecommunications, optical lithography, etc. However, design and generation of partially coherent beams with desirable properties is chal[...]texto impreso
On the basis of the modified Iwasawa decomposition of a lossless first-order optical system as a cascade of a lens, a magnifier, and a so-called orthosymplectic system, we show how to synthesize an arbitrary ABCD system (with two transverse coor[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Angulo Curto, María de las Mercedes ; Alieva, Tatiana Krasheninnikova | Springer Nature | 2020-10-27Optofluidics: Light forces for controlling heat nanosources and fluid flows New opportunities for controlling the motion of laser-heated gold nanoparticles and the associated convection currents in the surrounding fluid are achieved by using tai[...]texto impreso
Cámara, Alejandro ; Alieva, Tatiana Krasheninnikova ; Rodrigo Martín-Romo, José Augusto ; Calvo Padilla, María Luisa | The Electromagnetics Academy | 2010The numerical demonstration of the phase-space tomographic reconstruction method of non-separable beams is presented in this contribution. The Wigner distribution of a Laguerre-Gaussian beam is recovered from numerically simulated intensity meas[...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova | Nature Publishing Group | 2018-05-16A scalar polymorphic beam is designed with independent control of its intensity and phase along a strongly focused laser curve of arbitrary shape. This kind of beam has been found crucial in the creation of freestyle laser traps able to confine [...]texto impreso
Rodrigo Martín-Romo, José Augusto ; Alieva, Tatiana Krasheninnikova ; Cristóbal Pérez, Gabriel ; Calvo Padilla, María Luisa | The Optical Society Of America | 2011-09-12We present a fast and robust non-interferomentric wavefield retrieval approach suitable for imaging of both amplitude and phase distributions of scalar coherent beams. It is based on the diversity of the intensity measurements obtained under con[...]texto impreso
It is shown how all global Wigner distribution moments of arbitrary order can be measured as intensity moments in the output plane of an appropriate number of separable first-order optical systems (generally anamorphic ones). The minimum number [...]