{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T17:05:06Z","timestamp":1785603906776,"version":"3.56.0"},"reference-count":53,"publisher":"MDPI AG","issue":"13","license":[{"start":{"date-parts":[[2025,7,2]],"date-time":"2025-07-02T00:00:00Z","timestamp":1751414400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ministry of Science and Higher Education of the Russian Federation","award":["FSER-2025-0007"],"award-info":[{"award-number":["FSER-2025-0007"]}]},{"name":"Ministry of Science and Higher Education of the Russian Federation","award":["24IRF-1C003"],"award-info":[{"award-number":["24IRF-1C003"]}]},{"name":"Higher Education and Science Committee of MESCS RA","award":["FSER-2025-0007"],"award-info":[{"award-number":["FSER-2025-0007"]}]},{"name":"Higher Education and Science Committee of MESCS RA","award":["24IRF-1C003"],"award-info":[{"award-number":["24IRF-1C003"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Polymers"],"abstract":"<jats:p>Topological orientation structures in chiral nematic liquid crystals, such as torons, exhibit promising optical properties and are of increasing interest for applications in photonic devices. However, despite this attention, their polarization and phase dynamics during formation remain insufficiently explored. In this work, we investigate the dynamic optical response of a toron generated by focused femtosecond infrared laser pulses. A custom-designed polarization holographic microscope is employed to simultaneously record four polarization-resolved interferograms in a single exposure. This enables the real-time reconstruction of the Jones matrix, providing a complete description of the local polarization transformation introduced by the formation of the topological structure. The study demonstrates that torons can facilitate spin\u2013orbit coupling of light in a manner analogous to q-plates, highlighting their potential for advanced vector beam shaping and topological photonics applications.<\/jats:p>","DOI":"10.3390\/polym17131849","type":"journal-article","created":{"date-parts":[[2025,7,2]],"date-time":"2025-07-02T04:11:04Z","timestamp":1751429464000},"page":"1849","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["A Dynamic Analysis of Toron Formation in Chiral Nematic Liquid Crystals Using a Polarization Holographic Microscope"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2025-0579","authenticated-orcid":false,"given":"Tikhon V.","family":"Reztsov","sequence":"first","affiliation":[{"name":"Research and Educational Center for Photonics and Optical IT, ITMO University, 3 Kadetskaya Liniya V.O., bld. 2, lit. A, Saint Petersburg 197101, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1297-3267","authenticated-orcid":false,"given":"Aleksey V.","family":"Chernykh","sequence":"additional","affiliation":[{"name":"Research and Educational Center for Photonics and Optical IT, ITMO University, 3 Kadetskaya Liniya V.O., bld. 2, lit. A, Saint Petersburg 197101, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1594-291X","authenticated-orcid":false,"given":"Tetiana","family":"Orlova","sequence":"additional","affiliation":[{"name":"Infochemistry Scientific Center, ITMO University, 9 Lomonosova Str., Saint Petersburg 197101, Russia"},{"name":"Institute of Physics, Yerevan State University, Yerevan 0025, Armenia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8866-7592","authenticated-orcid":false,"given":"Nikolay V.","family":"Petrov","sequence":"additional","affiliation":[{"name":"Research and Educational Center for Photonics and Optical IT, ITMO University, 3 Kadetskaya Liniya V.O., bld. 2, lit. A, Saint Petersburg 197101, Russia"},{"name":"School of Physics, Harbin Institute of Technology, Harbin 150001, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2025,7,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"044021","DOI":"10.1088\/2040-8978\/15\/4\/044021","article-title":"Arbitrary vortex arrays realized from optical winding of frustrated chiral liquid crystals","volume":"15","author":"Yang","year":"2013","journal-title":"J. Opt."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"454","DOI":"10.1038\/s41566-022-01002-1","article-title":"Interaction and co-assembly of optical and topological solitons","volume":"16","author":"Poy","year":"2022","journal-title":"Nat. Photonics"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"081202","DOI":"10.1117\/1.3565046","article-title":"Liquid-crystal photonic applications","volume":"50","author":"Beeckman","year":"2011","journal-title":"Opt. Eng."},{"key":"ref_4","first-page":"011006","article-title":"Diversity of Knot Solitons in Liquid Crystals Manifested by Linking of Preimages in Torons and Hopfions","volume":"7","author":"Ackerman","year":"2017","journal-title":"Phys. Rev. X"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1038\/nmat2592","article-title":"Three-dimensional structure and multistable optical switching of triple-twisted particle-like excitations in anisotropic fluids","volume":"9","author":"Smalyukh","year":"2010","journal-title":"Nat. Mater."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1457","DOI":"10.1143\/JJAP.13.1457","article-title":"Bubble Domain Texture of a Liquid Crystal","volume":"13","author":"Kawachi","year":"1974","journal-title":"Jpn. J. Appl. Phys."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1063\/1.1655299","article-title":"New optical storage mode in liquid crystals","volume":"25","author":"Haas","year":"1974","journal-title":"Appl. Phys. Lett."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"074902","DOI":"10.1063\/1.3642972","article-title":"Liquid crystal bubbles forming a tunable micro-lenses array","volume":"110","author":"Hamdi","year":"2011","journal-title":"J. Appl. Phys."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"230026","DOI":"10.29026\/oes.2023.230026","article-title":"A review of liquid crystal spatial light modulators: Devices and applications","volume":"2","author":"Yang","year":"2023","journal-title":"Opto-Electron. Sci."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"14393","DOI":"10.1364\/OE.454980","article-title":"Numerical modeling of optical modes in topological soft matter","volume":"30","author":"Mur","year":"2022","journal-title":"Opt. Express"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"12392","DOI":"10.1021\/acsnano.5b05715","article-title":"Plasmon-Exciton Interactions Probed Using Spatial Coentrapment of Nanoparticles by Topological Singularities","volume":"9","author":"Ackerman","year":"2015","journal-title":"ACS Nano"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"e2110839118","DOI":"10.1073\/pnas.2110839118","article-title":"Topological liquid crystal superstructures as structured light lasers","volume":"118","author":"Mur","year":"2021","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"032503","DOI":"10.1103\/PhysRevE.87.032503","article-title":"Optical generation, templating, and polymerization of three-dimensional arrays of liquid-crystal defects decorated by plasmonic nanoparticles","volume":"87","author":"Evans","year":"2013","journal-title":"Phys. Rev. E"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"021703","DOI":"10.1103\/PhysRevE.86.021703","article-title":"Optical generation of crystalline, quasicrystalline, and arbitrary arrays of torons in confined cholesteric liquid crystals for patterning of optical vortices in laser beams","volume":"86","author":"Ackerman","year":"2012","journal-title":"Phys. Rev. E"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2100336","DOI":"10.1002\/andp.202100336","article-title":"Liquid Crystalline Half-Skyrmions and Their Optical Properties","volume":"534","author":"Fukuda","year":"2022","journal-title":"Ann. Phys."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"151905","DOI":"10.1063\/1.2800887","article-title":"Coherent anti-Stokes Raman scattering polarized microscopy of three-dimensional director structures in liquid crystals","volume":"91","author":"Kachynski","year":"2007","journal-title":"Appl. Phys. Lett."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"C1","DOI":"10.1364\/AO.51.0000C1","article-title":"Polarization pattern of vector vortex beams generated by q-plates with different topological charges","volume":"51","author":"Cardano","year":"2012","journal-title":"Appl. Opt."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Svistunov, A.S., Rymov, D.A., Starikov, R.S., and Cheremkhin, P.A. (2023). HoloForkNet: Digital Hologram Reconstruction via Multibranch Neural Network. Appl. Sci., 13.","DOI":"10.3390\/app13106125"},{"key":"ref_19","first-page":"031042","article-title":"Control of Light by Topological Solitons in Soft Chiral Birefringent Media","volume":"10","author":"Hess","year":"2020","journal-title":"Phys. Rev. X"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"652","DOI":"10.1364\/OPTICA.450832","article-title":"Spin\u2013orbit photonic diode from biomimetic 3D chiral liquid crystal architectures","volume":"9","author":"Agez","year":"2022","journal-title":"Optica"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"077801","DOI":"10.1103\/PhysRevLett.125.077801","article-title":"Chirality-Enhanced Periodic Self-Focusing of Light in Soft Birefringent Media","volume":"125","author":"Poy","year":"2020","journal-title":"Phys. Rev. Lett."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Bouchal, P., \u0160trbkov\u00e1, L., Dost\u00e1l, Z., Chmel\u00edk, R., and Bouchal, Z. (2019). Geometric-Phase Microscopy for Quantitative Phase Imaging of Isotropic, Birefringent and Space-Variant Polarization Samples. Sci. Rep., 9.","DOI":"10.1038\/s41598-019-40441-9"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"26858","DOI":"10.1364\/OE.26.026858","article-title":"Reference-free polarization-sensitive quantitative phase imaging using single-point optical phase conjugation","volume":"26","author":"Shin","year":"2018","journal-title":"Opt. Express"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Dudley, A., Majola, N., Chetty, N., and Forbes, A. (2014). Techniques to measure complex-plane fields. Proc. SPIE, 919416.","DOI":"10.1117\/12.2060409"},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Dudley, A., Milione, G., Alfano, R.R., and Forbes, A. (2014). Wavefront sensing with all-digital Stokes measurements. Proc. SPIE, 91940C.","DOI":"10.1117\/12.2060568"},{"key":"ref_26","unstructured":"Fournier, C., Georges, M.P., and Popescu, G. (2020). Fourier ptychographic microscopy and Mueller matrix microscopy: Differences and complementarity. Unconventional Optical Imaging II, SPIE."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"S90","DOI":"10.3103\/S1060992X24700334","article-title":"Formation and Control of the Polarization Structure of Vector Structured Laguerre-Gaussian Beams","volume":"33","author":"Yakubov","year":"2024","journal-title":"Opt. Mem. Neural Netw."},{"key":"ref_28","unstructured":"Shen, X., Javidi, B., and Anand, A. (2024). Polarization digital holographic microscope for live cell imaging. Three-Dimensional Imaging, Visualization, and Display 2024, SPIE."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"7890","DOI":"10.1364\/AO.499016","article-title":"Single-shot measurement of the Jones matrix for anisotropic media using four-channel digital polarization holography","volume":"62","author":"Qiu","year":"2023","journal-title":"Appl. Opt."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"116107","DOI":"10.1063\/5.0120465","article-title":"Lensless polarization camera for single-shot full-Stokes imaging","volume":"7","author":"Baek","year":"2022","journal-title":"APL Photonics"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"29775","DOI":"10.1364\/OE.404289","article-title":"Polarization grating based on diffraction phase microscopy for quantitative phase imaging of paramecia","volume":"28","author":"Zhang","year":"2020","journal-title":"Opt. Express"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"14762","DOI":"10.1364\/OE.389973","article-title":"Polarization holographic microscope slide for birefringence imaging of anisotropic samples in microfluidics","volume":"28","author":"Yang","year":"2020","journal-title":"Opt. Express"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"9948","DOI":"10.1364\/OE.20.009948","article-title":"Polarization holographic microscopy for extracting spatio-temporally resolved Jones matrix","volume":"20","author":"Kim","year":"2012","journal-title":"Opt. Express"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"3042","DOI":"10.1021\/acsphotonics.1c01064","article-title":"Jones Matrix Microscopy for Living Eukaryotic Cells","volume":"8","author":"Park","year":"2021","journal-title":"ACS Photonics"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"34190","DOI":"10.1364\/OE.397062","article-title":"Real-time Jones phase microscopy for studying transparent and birefringent specimens","volume":"28","author":"Jiao","year":"2020","journal-title":"Opt. Express"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"2301261","DOI":"10.1002\/lpor.202301261","article-title":"Real-Time Jones Matrix Synthesis by Compact Polarization Inline Holographic Microscopy","volume":"18","author":"Liu","year":"2024","journal-title":"Laser Photonics Rev."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"127460","DOI":"10.1016\/j.optcom.2021.127460","article-title":"Compact common-path polarisation holographic microscope for measuring spatially-resolved Jones matrix parameters of dynamic samples in microfluidics","volume":"503","author":"Chen","year":"2022","journal-title":"Opt. Commun."},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Varanytsia, A., Posnjak, G., Mur, U., Joshi, V., Darrah, K., Mu\u0161evi\u010d, I., \u010copar, S., and Chien, L.C. (2017). Topology-commanded optical properties of bistable electric-field-induced torons in cholesteric bubble domains. Sci. Rep., 7.","DOI":"10.1038\/s41598-017-16241-4"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"051911","DOI":"10.1063\/1.4864096","article-title":"Multiple chiral topological states in liquid crystals from unstructured light beams","volume":"104","author":"Loussert","year":"2014","journal-title":"Appl. Phys. Lett."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1038\/s41377-018-0059-0","article-title":"Quantifying single plasmonic nanostructure far-fields with interferometric and polarimetric k-space microscopy","volume":"7","author":"Hoekmeijer","year":"2018","journal-title":"Light Sci. Appl."},{"key":"ref_41","doi-asserted-by":"crossref","unstructured":"Ushenko, A., Zheng, J., Gorsky, M., Dubolazov, A., Ushenko, Y., Soltys, I., Mikirin, I., Chen, Z., Wanchuliak, O., and Gordey, I. (2023). 3D digital holographic polarimetry of diffuse optically anisotropic biological tissue object fields. Front. Phys., 11.","DOI":"10.3389\/fphy.2023.1288935"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"CC7.2.1","DOI":"10.1557\/PROC-709-CC7.2.1","article-title":"Molecular Design Strategies for High Birefringence Liquid Crystals","volume":"709","author":"Wu","year":"2001","journal-title":"MRS Proc."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"042702","DOI":"10.1103\/PhysRevE.101.042702","article-title":"Surface anchoring as a control parameter for stabilizing torons, skyrmions, twisted walls, fingers, and their hybrids in chiral nematics","volume":"101","author":"Tai","year":"2020","journal-title":"Phys. Rev. E"},{"key":"ref_44","first-page":"43","article-title":"Design of broadband terahertz vector and vortex beams: I. Review of materials and components","volume":"3","author":"Petrov","year":"2022","journal-title":"Light Adv. Manuf."},{"key":"ref_45","first-page":"44","article-title":"Design of broadband terahertz vector and vortex beams: II. Holographic assessment","volume":"3","author":"Petrov","year":"2022","journal-title":"Light Adv. Manuf."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"18","DOI":"10.18287\/2412-6179-CO-1318","article-title":"Spin-orbit interaction in quasi-monochromatic singular beams","volume":"48","author":"Egorov","year":"2024","journal-title":"Comput. Opt."},{"key":"ref_47","doi-asserted-by":"crossref","unstructured":"Shalev, A., Misura, A., Georgieva, A., Chernykh, A., Petrov, N., Orlova, T., Lobanov, I., Aksenova, E., Uzdin, V., and Kiselev, A. (2025). Polarization-Controlled Orbital Angular Momentum of Light Passing Through a Cholesteric Spherulite. Opt. Open, preprint.","DOI":"10.1364\/opticaopen.28292069"},{"key":"ref_48","doi-asserted-by":"crossref","unstructured":"Shvetsov, S., Orlova, T., Emelyanenko, A.V., and Zolot\u2019ko, A. (2019). Thermo-Optical Generation of Particle-Like Structures in Frustrated Chiral Nematic Film. Crystals, 9.","DOI":"10.3390\/cryst9110574"},{"key":"ref_49","doi-asserted-by":"crossref","unstructured":"Fernandez-Nieves, A., and Puertas, A.M. (2016). Fluids, Colloids and Soft Materials: An Introduction to Soft Matter Physics, John Wiley & Sons, Inc.","DOI":"10.1002\/9781119220510"},{"key":"ref_50","doi-asserted-by":"crossref","unstructured":"Lobanov, I., Aksenova, E., Orlova, T., Darmoroz, D., Uzdin, V., and Kiselev, A.D. (2022). Optical Imaging and Analytical Design of Localized Topological Structures in Chiral Liquid Crystals. Symmetry, 14.","DOI":"10.3390\/sym14122476"},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"125038","DOI":"10.1088\/0964-1726\/23\/12\/125038","article-title":"Preparation and thermo-optical characteristics of a smart polymer-stabilized liquid crystal thin film based on smectic A\u2013chiral nematic phase transition","volume":"23","author":"Sun","year":"2014","journal-title":"Smart Mater. Struct."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1038\/nature11122","article-title":"Light-induced liquid crystallinity","volume":"485","author":"Kosa","year":"2012","journal-title":"Nature"},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"251","DOI":"10.37188\/lam.2023.022","article-title":"Ultra-broadband polarisation beam splitters and rotators based on 3D-printed waveguides","volume":"4","author":"Nesic","year":"2023","journal-title":"Light Adv. Manuf."}],"container-title":["Polymers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-4360\/17\/13\/1849\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T18:02:51Z","timestamp":1760032971000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-4360\/17\/13\/1849"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,2]]},"references-count":53,"journal-issue":{"issue":"13","published-online":{"date-parts":[[2025,7]]}},"alternative-id":["polym17131849"],"URL":"https:\/\/doi.org\/10.3390\/polym17131849","relation":{},"ISSN":["2073-4360"],"issn-type":[{"value":"2073-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,7,2]]}}}