Abstract
In our manuscript, we obtain optical angular momentum of \(\phi \left( \varvec{\alpha }\right) , \phi \left( {\textbf{t}}\right) , \phi \left( {\textbf{s}}\right)\) by using optical spherical frame. Also, we construct magnitude of optical angular momentum and spherical magnetic moment of \(\phi \left( \varvec{\alpha }\right) , \phi \left( {\textbf{t}} \right) , \phi \left( {\textbf{s}}\right)\). Thus, we illustrate optical \(\tau _{\phi \left( \varvec{\alpha }\right) }, \tau _{\phi \left( {\textbf{t}} \right) }, \tau _{\phi \left( {\textbf{s}}\right) }\) magnetic torque phase microscale. Moreover, we have electroosmotic microfluidic \(\tau _{\phi \left( \varvec{\alpha }\right) }, \tau _{\phi \left( {\textbf{t}} \right) }, \tau _{\phi \left( {\textbf{s}}\right) }\) magnetic torque density. Finally, we design electroosmotic magnetic torque density with antiferromagnetic model.
Similar content being viewed by others
Availability of data and materials
No data was used for the research described in the article.
References
Abouraddy, A.F., Bayindir, M., Benoit, G., Hart, S.D., Kuriki, K., Orf, N., Shapira, O., Sorin, F., Temelkuran, B., Fink, Y.: Towards multimaterial multifunctional fibres that see, hear, sense and communicate. Nat. Mater. 6, 336–347 (2007)
Amjadi, M., Kyung, K.-U., Park, I., Sitti, M.: Stretchable, skin-mountable, and wearable strain sensors and their potential applications: a review. Adv. Funct. Mater. 26, 1678 (2016)
Ashkin, A.: Acceleration and trapping of particles by radiation pressure. Phys. Rev. Lett. 24, 156–159 (1970)
Ashkin, A., Dziedzic, J.M., Bjorkholm, J.E., Chu, S.: Observation of a single-beam gradient force optical trap for dielectric particles. Opt. Lett. 11, 288–290 (1986)
Balakrishnan, R., Dandoloff, R.: The Schrodinger equation as a moving curve. Phys. Lett. A 260, 62 (1999)
Balakrishnan, R., Bishop, R., Dandoloff, R.: Geometric phase in the classical continuous antiferromagnetic Heisenberg spin chain. Phys. Rev. Lett. 64, 2107 (1990)
Balakrishnan, R., Bishop, R., Dandoloff, R.: Anholonomy of a moving space curve and applications to classical magnetic chains. Phys. Rev. B 47, 3108 (1993)
Berry, M.V., Klein, S.: Geometric phases from stacks of crystal plates. J. Mod. Opt. 43, 165–180 (1996)
Biener, G., Niv, A., Kleiner, V., Hasman, E.: Formation of helical beams by use of Pancharatnam–Berry phase optical elements. Opt. Lett. 27, 1875–1877 (2002)
Cao, Q., Liu, M., Wang, Z., Han, X., Li, L.: Dynamic motion analysis of magnetic particles in microfluidic systems under an external gradient magnetic field. Microfluid. Nanofluid. 21(2), 24 (2017)
Cao, Q., Li, Z., Wang, Z., Han, X.: Rotational motion and lateral migration of an elliptical magnetic particle in a microchannel under a uniform magnetic field. Microfluid. Nanofluid. 22, 3 (2018)
Dandoloff, R., Zakrzewski, W.J.: Parallel transport along a space curve and related phases. J. Phys. A: Math. Gen. 22(11), L461 (1989)
Dholakia, K., Zemánek, P.: Colloquium: gripped by light: optical binding. Rev. Mod. Phys. 82, 1767–1791 (2010)
Dong, C., Page, A.G., Yan, W., Nguyen-Dang, T., Sorin, F.: Microstructured multimaterial fibers for microfluidic sensing. Adv. Mater. Technol. 1900417 (2019)
Erb, R.M., Martin, J.J., Soheilian, R., Pan, C., Barber, J.R.: Actuating soft matter with magnetic torque. Adv. Funct. Mater. 26(22), 3859–3880 (2016)
Fink, Y., Winn, J., Fan, S., Chen, C., Michel, J., Joannopoulos, J., Thomas, E.: A dielectric omnidirectional reflector. Science 282, 1679 (1998)
Furlani, E.P., Ng, K.C.: Analytical model of magnetic nanoparticle capture in the microvasculature. Phys. Rev. E 73(6), 061919 (2006)
Garcia de Andrade, L.C.: Non-Riemannian geometry of twisted flux tubes. Braz. J. Phys. 36(5A), 1290–1295 (2006a)
Garcia de Andrade, L.C.: Vortex filaments in MHD. Physica Scripta, 73(5), 484 (2006b)
Garcia de Andrade, L.C.: Riemannian geometry of twisted magnetic flux tubes in almost helical plasma flows. Phys. Plasmas 13(2), 022309–022309 (2006c)
Guo, B., Ding, S.: Landau–Lifshitz Equations. World Scientific, Singapore (2008)
Gürbüz, N.: The differential formula of Hasimoto transformation in Minkowski 3-space. Int. J. Math. Math. Sci. 2005, 542381 (2005)
Hasimoto, H.: A soliton on a vortex filament. J. Fluid Mech. 51(3), 477–485 (1972)
Jones, R.C.: A new calculus for the treatment of optical systems I. Description and discussion of the calculus. J. Opt. Soc. Am. 31, 488–493 (1941)
Körpınar, T.: Optical directional binormal magnetic flows with geometric phase: Heisenberg ferromagnetic model. Optik 219, 165134 (2020)
Körpınar, T.: Optical electromotive force with Heisenberg spherical ferromagnetic spin. Optik 245, 167521 (2021)
Körpınar, T., Demirkol, R.C.: Electromagnetic curves of the linearly polarized light wave along an optical fiber in a 3D semi-Riemannian manifold. J. Mod. Opt. 66(8), 857–867 (2019)
Körpınar, T., Demirkol, R.C.: Electromagnetic curves of the linearly polarized light wave along an optical fiber in a 3D Riemannian manifold with Bishop equations. Optik 200, 163334 (2020)
Körpınar, Z., Körpınar, T.: Optical hybrid electric and magnetic B\(_{1}\)-phase with Landau Lifshitz approach. Optik 247, 1–14 (2021a)
Körpınar, Z., Körpınar, T.: Optical tangent hybrid electromotives for tangent hybrid magnetic particle. Optik 247, 1–11 (2021b)
Körpınar, T., Körpınar, Z.: Timelike spherical magnetic flux flows with Heisenberg spherical ferromagnetic spin with some solutions. Optik (2021c). https://doi.org/10.1016/j.ijleo.2021.166745
Körpınar, T., Körpınar, Z.: Spherical electric and magnetic phase with Heisenberg spherical ferromagnetic spin by some fractional solutions. Optik 242, 1–11 (2021d)
Körpınar, Z., Korpinar, T.: Optical hybrid electric and magnetic \({\textbf{B} }_{1}\)-phase with Landau Lifshitz approach. Optik 247, 167917 (2021)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Soliton propagation of electromagnetic field vectors of polarized light ray traveling in a coiled optical fiber in the ordinary space. Int. J. Geom. Methods Mod. Phys. 16(8), 1950117 (2019)
Körpinar, T.: Optical directional binormal magnetic flows with geometric phase: Heisenberg ferromagnetic model. Optik Int. J. Light Electron Opt. 219, 1–19 (2020)
Körpinar, T., Demirkol, R.C.: Gravitational magnetic curves on 3D Riemannian manifolds. Int. J. Geom. Methods Mod. Phys. 15, 1–19 (2018a)
Körpinar, T., Demirkol, R.C.: Frictional magnetic curves in 3D Riemannian manifolds. Int. J. Geom. Methods Mod. Phys. 15, 1–13 (2018b)
Körpinar, T., Körpinar, Z.: Antiferromagnetic viscosity model for electromotive microscale with second type nonlinear heat frame. Int. J. Geom. Mod. Phys. 2350163 (2023a) (in press)
Körpinar, T., Körpinar, Z.: New optical geometric recursional electromagnetic ferromagnetic microscale. Int. J. Mod. Phys. B 2450092 (2023b) (in press)
Körpinar, Z., Körpinar, T.: New optical recursional spherical ferromagnetic flux for optical sonic microscale. J. Nonlinear Opt. Phys. Mater. 2350051 (2023c) (in press)
Körpinar, T., Körpinar, Z.: Optical visco microfluidic optimistic hybrid optical electromotive microscale. International Journal of Modern Physics B, 2450159 (2023d) (in press)
Körpinar, T., Körpinar, Z.: Antiferromagnetic complex electromotive microscale with first type Schrödinger frame. Opt. Quantum Electron. 55(6), 2–15 (2023e)
Körpınar, T., Körpınar, Z.: Optical phase of recursional hybrid visco ferromagnetic electromagnetic microscale. Phys. Lett. A 462, 1–12 (2023f)
Körpinar, T., Körpinar, Z.: Antiferromagnetic Schr ödinger electromotive microscale in Minkowski space. Opt. Quantum Electron. 55(8), 681 (2023)
Körpınar, Z., Korpinar, T.: Optical spherical electromotive density with some fractional applications with Laplace transform in spherical Heisenberg space \({\mathbb{S} }_{{\mathbb{H} }}^{2}\). Optik 245, 167596 (2021)
Korpinar, T., Körpınar, Z.: Timelike spherical magnetic \({\mathbb{S} }_{ {\textbf{N} }}\) flux flows with Heisenberg spherical ferromagnetic spin with some solutions. Optik 242, 166745 (2021)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Soliton propagation of electromagnetic field vectors of polarized light ray traveling in a coiled optical fiber in Minkowski space with Bishop equations. Eur. Phys. J. D 73, 1–11 (2019a)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Soliton propagation of electromagnetic field vectors of polarized light ray traveling along with coiled optical fiber on the unit 2-sphere S\(^{2}\). Rev. Mex. Fis. 65, 626–633 (2019b)
Körpınar, T., Demirkol, R.C., Körpınar, Z., Asil, V.: Maxwellian evolution equations along the uniform optical fiber in Minkowski space. Rev. Mex. Fis. 66(4), 431 (2020)
Körpınar, T., Demirkol, R.C., Körpınar, Z., Asil, V.: Maxwellian evolution equations along the uniform optical fiber in Minkowski space. Optik 217, 164561 (2020)
Körpinar, T., Ünlütürk, Y., Körpinar, Z.: A novel approach to the motion equations of null Cartan curves via the compatible Hasimoto map. Optik 1–9 (2023)
Körpınar, T., Körpınar, Z., Demirkol, R.C.: Binormal schrodinger system of wave propagation field of light radiate in the normal direction with q-HATM approach. Optik 235, 166444 (2020)
Körpınar, T., Körpınar, Z., Yeneroğlu, M.: Optical energy of spherical velocity with optical magnetic density in Heisenberg sphere space \({\mathbb{S} }_{Heis^{3}}^{2}\). Optik 247, 1–7 (2021a)
Körpınar, T., Sazak, A., Körpınar, Z.: Optical effects of some motion equations on quasi-frame with compatible Hasimoto map. Optik 247, 1–8 (2021b)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Polarization of propagated light with optical solitons along the fiber in de-sitter space. Optik 226, 1–9 (2021c)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Approximate solutions for the inextensible Heisenberg antiferromagnetic flow and solitonic magnetic flux surfaces in the normal direction in Minkowski space. Optik 238, 1–12 (2021d)
Körpınar, T., Körpınar, Z., Asil, V.: New approach for optical electroostimistic phase with optical quasi potential energy. Optik 251, 168291 (2022)
Körpinar, T., Demirkol, R.C., Körpinar, Z.: On the new conformable optical ferromagnetic and antiferromagnetic magnetically driven waves. Opt. Quantum Electron. 55(6), 496 (2023)
Korpinar, Z., Inc, M., Korpinar, T.: Ferromagnetic recursion for geometric phase timelike SN-magnetic fibers. Opt. Quantum Electron. 55(4), 382 (2023)
Körpinar, T., Körpinar, Z., Asil, V.: Optical electromotive microscale with first type Schrödinger frame. Optik 276, 170629 (2023)
Kugler, M., Shtrikman, S.: Berry’s phase, locally inertial frames, and classical analogues. Phys. Rev. D 37(4), 934 (1988)
Lamb, G.L.: Solitons on moving space curves. J. Math. Phys. 18, 1654 (1977)
Murugesh, S., Balakrishnan, R.: New connections between moving curves and soliton equations. Phys. Lett. A 290, 81 (2001)
Satija, I.I., Balakrishan, R.: Geometric phases in twisted strips. Phys. Lett. A 373(39), 3582 (2009)
Schief, W.K., Rogers, C.: The Da Rios system under a geometric constraint: the Gilbarg problem. J. Geom. Phys. 54(3), 286–300 (2005)
Seung, W., et al.: Nanopatterned textile-based wearable triboelectric nanogenerator. ACS Nano 9, 3501–3509 (2015)
Smit, J.: The spontaneous Hall effect in ferromagnetics I. Physica 21, 877 (1955)
Son, D.T., Yamamoto, N.: Berry curvature, triangle anomalies, and the chiral magnetic effect in Fermi liquids. Phys. Rev. Lett. 109, 81602 (2012)
Tao, G., Stolyarov, A.M., Abouraddy, A.F.: Multi-material fibers. Int. J. Appl. Glass Sci. 3, 349 (2012)
Tomita, A., Chiao, Y.: Observation of Berry’s topological phase by use of an optical fiber. Phys. Rev. Lett. 57, 937 (1986)
Vieira, V.R., Horley, P.P.: The Frenet–Serret representation of the Landau–Lifshitz–Gilbert equation. J. Phys. A: Math. Theor. 45(6), 065208 (2012)
Wassmann, F., Ankiewicz, A.: Berry’s phase analysis of polarization rotation in helicoidal fibers. Appl. Opt. 37, 3902 (1998)
Yamada, T., Hayamizu, Y., Yamamoto, Y., Yomogida, Y., Izadi-Najafabadi, A., Futaba, D.N., Hata, K.: A stretchable carbon nanotube strain sensor for human-motion detection. Nat. Nanotechnol. 6, 296 (2011)
Yamashita, O.: Effect of the geometrical phase shift on the spin and orbital angular momenta of light traveling in a coiled optical fiber with optical activity. Opt. Commun. 285, 3740 (2012)
Yamashita, O.: Geometrical phase shift of the extrinsic orbital angular momentum density of light propagating in a helically wound optical fiber. Opt. Commun. 285, 3061 (2012)
Yan, W., Page, A., Nguyen-Dang, T., Qu, Y., Sordo, F., Wei, L., Sorin, F.: Advanced multimaterial electronic and optoelectronic fibers and textiles. Adv. Mater. 31, 1802348 (2018)
Zygelman, B.: Appearance of gauge potentials in atomic collision physics. Phys. Lett. A 125, 476–481 (1987)
Funding
No funding was received for the study.
Author information
Authors and Affiliations
Contributions
All authors of this research paper have directly participated in the planning, execution, or analysis of this study; All authors of this paper have read and approved the final version submitted.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Ethical approval
The contents of this manuscript have not been copyrighted or published previously; The contents of this manuscript are not now under consideration for publication elsewhere.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Körpinar, T., Körpinar, Z. & Yeneroglu, M. Optical electroosmotic magnetic density with antiferromagnetic model. Opt Quant Electron 55, 1139 (2023). https://doi.org/10.1007/s11082-023-05377-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-023-05377-5