{"title":"Intertwining Intensity Moments and Orbital Angular Momenta via Astigmatic Transforms of Structured Beams","authors":"A. V. Volyar, E. G. Abramochkin, M. V. Bretsko","doi":"10.3103/S1060992X2470036X","DOIUrl":"10.3103/S1060992X2470036X","url":null,"abstract":"<p>We have shown theoretically and experimentally that for defining the orbital angular momentum (OAM) of structured Laguerre-Gaussian (sLG) beams with a broken symmetry, it is sufficient to measure the only element of the symplectic intensity moment matrix. It looks like an intertwining of two elements belonging to two submatrices of the general symplectic matrix of intensity moments under the condition when the amplitude parameter of the sLG beam is equal to unity. But once slightly to deviate the amplitude parameter from this value, as the intertwining at once unravels. Besides, we revealed that by measuring such a matrix element of the sLG beam in free space enables us to exactly predict the OAM behavior of the sLG beam in a first-order optical system with an astigmatic element, without any measuring in the astigmatic system itself.</p>","PeriodicalId":721,"journal":{"name":"Optical Memory and Neural Networks","volume":"33 1 supplement","pages":"S114 - S122"},"PeriodicalIF":1.0,"publicationDate":"2024-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142811228","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Longitudinal Spin Hall Effect of Polarization Vortices with a Carrier Frequency","authors":"V. V. Kotlyar, A. G. Nalimov, A. A. Kovalev","doi":"10.3103/S1060992X24700358","DOIUrl":"10.3103/S1060992X24700358","url":null,"abstract":"<p>We derive the axial projection of the spin angular momentum (SAM) vector for a vector Gaussian beam with 1D periodic amplitude modulation. Such a beam has zero SAM in the source plane and its polarization is inhomogeneous linear. We demonstrate that when such a beam propagates, its periodic modulation effectively splits the beam into two, having elliptic polarization of opposite handedness. Therefore, the spin Hall effect is shown to arise, since the cross section of the beam contains alternating domains with nonzero spin of opposite sign. For generating such a field, a metasurface can be employed, whose transmittance is changing with one coordinate periodically.</p>","PeriodicalId":721,"journal":{"name":"Optical Memory and Neural Networks","volume":"33 1 supplement","pages":"S105 - S113"},"PeriodicalIF":1.0,"publicationDate":"2024-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142811075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
P. A. Khorin, S. K. Sergunin, S. N. Khonina, V. P. Veiko, G. K. Kostyuk, V. A. Shkuratova
{"title":"Simulation of Diffraction on a Stepped Spiral Phase Plate with Radiation of Different Wavelengths in order to Form Optical Vortices of Different Orders","authors":"P. A. Khorin, S. K. Sergunin, S. N. Khonina, V. P. Veiko, G. K. Kostyuk, V. A. Shkuratova","doi":"10.3103/S1060992X24700310","DOIUrl":"10.3103/S1060992X24700310","url":null,"abstract":"<p>The diffraction of a Gaussian beam by a stepped spiral phase plate (SPP) is studied for different wavelengths of laser radiation. Numerically, using the finite difference time domain method, the formation of a vortex beam by a SPP with different number of uniform sectors is shown. The diffraction of laser radiation with a wavelength in the range from 0.5 to 1.5 μm by a SPP with 20 sectors was calculated and the transformation of a Gaussian beam into a vortex beam with different topological charges due to variations in wavelength was shown. To determine the value of the orbital angular momentum (OAM) of the formed vortex beam, the weight spectrum is calculated on the basis of angular harmonics (AH). We estimated the vortex beam quality of an integer order using a multichannel diffractive optical element (DOE), which implements the optical decomposition of the light field according to the AH basis. The detection of vortex beams with 1st, 2nd and 3rd order is shown numerically by matched filtering.</p>","PeriodicalId":721,"journal":{"name":"Optical Memory and Neural Networks","volume":"33 1 supplement","pages":"S65 - S74"},"PeriodicalIF":1.0,"publicationDate":"2024-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142811080","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. V. Bretsko, S. I. Khalilov, S. I. Yakubov, D. V. Maksimov, A. V. Volyar, Ya. E. Akimova
{"title":"Astigmatic Structured Laguerre-Gaussian Beams: Orbital Angular Momentum and Its Transformation","authors":"M. V. Bretsko, S. I. Khalilov, S. I. Yakubov, D. V. Maksimov, A. V. Volyar, Ya. E. Akimova","doi":"10.3103/S1060992X24700383","DOIUrl":"10.3103/S1060992X24700383","url":null,"abstract":"<p>This paper presents a study of astigmatic structured Laguerre-Gaussian beams (asLG) and their orbital angular momentum (OAM). The complex amplitude of the asLG beam is obtained, which takes into account the distance along the <i>z</i>-axis after the cylindrical lens, as well as the angle of inclination of the cylindrical lens. An expression for the OAM is obtained that depends only on the Hermite-Gaussian mode amplitudes. Computer modeling has been carried out, which is in good agreement with experiment.</p>","PeriodicalId":721,"journal":{"name":"Optical Memory and Neural Networks","volume":"33 1 supplement","pages":"S139 - S145"},"PeriodicalIF":1.0,"publicationDate":"2024-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142811158","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S. I. Yakubov, M. V. Bretsko, S. I. Khalilov, D. V. Maksimov, S. N. Lapaeva, Ya. E. Akimova
{"title":"Formation and Control of the Polarization Structure of Vector Structured Laguerre-Gaussian Beams","authors":"S. I. Yakubov, M. V. Bretsko, S. I. Khalilov, D. V. Maksimov, S. N. Lapaeva, Ya. E. Akimova","doi":"10.3103/S1060992X24700334","DOIUrl":"10.3103/S1060992X24700334","url":null,"abstract":"<p>In this study, experiments were conducted aimed at the formation of both standard Laguerre-Gaussian vector beams and more complex structured Laguerre-Gaussian vector beams using a spatial light modulator. The ability to measure the polarization structure of these beams using a differential Stokes polarimeter was experimentally demonstrated. The obtained measurement data on the polarization distribution successfully correspond to theoretical calculations, which confirms the effectiveness and accuracy of this method in the analysis of optical structures.</p>","PeriodicalId":721,"journal":{"name":"Optical Memory and Neural Networks","volume":"33 1 supplement","pages":"S90 - S97"},"PeriodicalIF":1.0,"publicationDate":"2024-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142811230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Optimization Based on Samples Generated by the Canny Operator of Parameters of Vortex Filter and Ring Filter Used for Optical Edge Selection","authors":"A. S. Khlebodarov","doi":"10.3103/S1060992X24700255","DOIUrl":"10.3103/S1060992X24700255","url":null,"abstract":"<p>Based on the modeling of optical edge selection, studies were conducted to optimize the parameters of spatial filters. The parameters of the ring and vortex spatial filters were optimized for optical edge selection in different images using the Fourier-correlator. The result of the research is the development of an algorithm that helps to find the optimal parameters of ring and vortex spatial filters for a given image. The optimality criterion is determined using Canny’s digital algorithm, therefore, the developed algorithm is a hybrid algorithm. The developed algorithm for finding optimal filter parameters is based on minimizing the standard deviation from the samples formed by the Canny operator. The purpose of the developed algorithm consists of adjusting the Spatial light modulator to the input image in a real experiment. The fact that the vortex filter with optimal parameters is slightly inferior to the Canny’s operator was established. It has been shown that the vortex filter makes it possible to selectively highlight object details.</p>","PeriodicalId":721,"journal":{"name":"Optical Memory and Neural Networks","volume":"33 1 supplement","pages":"S9 - S17"},"PeriodicalIF":1.0,"publicationDate":"2024-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142811084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S. I. Khalilov, M. V. Bretsko, S. I. Yakubov, S. N. Lapaeva, D. V. Maksimov, A. V. Volyar, Ya. E. Akimova
{"title":"Astigmatic Laguerre–Gaussian Beams with Rapid Oscillations of Orbital Angular Momentum","authors":"S. I. Khalilov, M. V. Bretsko, S. I. Yakubov, S. N. Lapaeva, D. V. Maksimov, A. V. Volyar, Ya. E. Akimova","doi":"10.3103/S1060992X24700449","DOIUrl":"10.3103/S1060992X24700449","url":null,"abstract":"<p>A matrix formalism, denoted as ABCD, has been developed and experimentally implemented to describe structured transformations and the orbital angular momentum of structured Laguerre–Gaussian beams in an astigmatic optical system containing a single cylindrical lens. It is demonstrated that the matrix formalism not only aligns well with the method of integral astigmatic transformations but also significantly broadens the scope of its application.</p>","PeriodicalId":721,"journal":{"name":"Optical Memory and Neural Networks","volume":"33 1 supplement","pages":"S189 - S197"},"PeriodicalIF":1.0,"publicationDate":"2024-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142811161","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. P. Dzyuba, P. A. Khorin, P. G. Serafimovich, S. N. Khonina
{"title":"Wavefront Aberrations Recognition Study Based on Multi-Channel Spatial Filter Matched with Basis Zernike Functions and Convolutional Neural Network with Xception Architecture","authors":"A. P. Dzyuba, P. A. Khorin, P. G. Serafimovich, S. N. Khonina","doi":"10.3103/S1060992X24700309","DOIUrl":"10.3103/S1060992X24700309","url":null,"abstract":"<p>The possibility of recognizing wave aberrations using a convolutional neural network with the Xception architecture is investigated based on intensity patterns at the output of a Fourier correlator with a multichannel spatial filter matched with Zernike basis functions. A dataset was calculated for training a neural network. In this dataset the intensity distribution at the correlator output was modeled for each of the first eight aberration types and their superpositions. Based on network training in 80 epochs, it was found that for the validation sample, the mean absolute error in recognizing aberrations does not exceed 0.003.</p>","PeriodicalId":721,"journal":{"name":"Optical Memory and Neural Networks","volume":"33 1 supplement","pages":"S53 - S64"},"PeriodicalIF":1.0,"publicationDate":"2024-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142811081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Generation of Off-Axis Diffraction Orders at the Quantization of Shifted Vortex Lens Phase","authors":"O. A. Dyukareva, A. V. Ustinov","doi":"10.3103/S1060992X24700292","DOIUrl":"10.3103/S1060992X24700292","url":null,"abstract":"<p>Multiplexing a signal using the largest number of freedom degrees is an important task in the field of optical information transmission. Variations in the beams amplitude-phase structure can provide a wide range of possibilities for encoding and multiplexing optical signals and do not require complex optical systems or expensive devices. The paper analyzes the results of focusing laser radiation using phase vortex shifted lens quantized at a given level. It is shown that a shifted quantized lens makes it possible to obtain a variable number of local intensity maxima out of the optical axis. The use of a shifted quantized vortex lens made it possible to register a useful signal and detect both individual vortex beams and their superpositions out of the optical axis. We can also note that studies of the quantization parameter influence on the propagation of beam intensity have shown the possibility of eliminating fixed diffraction orders. Individual quantization levels produce diffraction orders that account for equal shares of energy (weights), and are thus candidates for more complex detection tasks that also include weight recognition.</p>","PeriodicalId":721,"journal":{"name":"Optical Memory and Neural Networks","volume":"33 1 supplement","pages":"S43 - S52"},"PeriodicalIF":1.0,"publicationDate":"2024-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142811079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Influence of the Shape of the Pump Current Profile on Stabilization of the Dynamics of a Broad-Area Vertical-Cavity Surface-Emitting Laser","authors":"E. A. Yarunova, A. A. Krents, N. E. Molevich","doi":"10.3103/S1060992X24700267","DOIUrl":"10.3103/S1060992X24700267","url":null,"abstract":"<p>The present paper is concerned with the analytical and numerical investigation of the dynamics of a broad-area vertical-cavity surface-emitting laser (VCSEL). It is shown that the adiabatic polarization elimination does not affect the modulation instability developing in the system. The efficiency of the method of external injection at different shapes of the pump current profile is verified. It is shown that for effective stabilization by optical injection beam with minimum amplitude it is necessary to use pump current profiles with smoother edges.</p>","PeriodicalId":721,"journal":{"name":"Optical Memory and Neural Networks","volume":"33 1 supplement","pages":"S18 - S25"},"PeriodicalIF":1.0,"publicationDate":"2024-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142811085","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}