Skip to main content
SpringerLink
Log in

Optical quantum model for binormal Schrodinger system for light diffuse with q-HATM

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

In our manuscript, we importantly focus on applications of fluid in binormal direction of curved path, which is derived to be propagated light diffuse. Optical phase is completely obtained to represent relation between geometric optical phase and parallellism hypothesis of wave propagation field of evolving light diffuse. Moreover, we produce geometric optical interpretation of binormal fluid in binormal orientation of curved path by nonlinear new fractional optical Schrodinger structure for diffuse type. Thus, we have new numerical fractional optical solutions for this structure with diffuse-type with q-HATM approach.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

Data availability

No data was used for the research described in the article.

References

  • Bérard, A., Mohrbach, H.: Spin Hall effect and Berry phase of spinning particles. Phys. Lett. A 352(3), 190–195 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  • Bhandari, R.: Polarization of light and topological phases. Phys. Rep. 281(1), 1–64 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  • Bliokh, K.Y., Bliokh, Y.P.: Topological spin transport of photons: the optical Magnus effect and Berry phase. Phys. Lett. A 333(3–4), 181–186 (2004)

    Article  ADS  CAS  Google Scholar 

  • Bliokh, K.Y., Bliokh, Y.P.: Modified geometrical optics of a smoothly inhomogeneous isotropic medium: the anisotropy, Berry phase, and the optical Magnus effect. Phys. Rev. E 70(2), 026605 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  • Bliokh, K.Y., Frolov, D.Y., Kravtsov, Y.A.: Non-Abelian evolution of electromagnetic waves in a weakly anisotropic inhomogeneous medium. Phys. Rev. A 75(5), 053821 (2007)

    Article  ADS  Google Scholar 

  • Bliokh, K.Y., Niv, A., Kleiner, V., Hasman, E.: Geometrodynamics of spinning light. Nat. Photonics 2(12), 748–753 (2008)

    Article  ADS  CAS  Google Scholar 

  • Duval, C., Horváth, Z., Horváthy, P.A.: Fermat principle for spinning light. Phys. Rev. D 74(2), 021701 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  • Hasimoto, H.: A soliton on a vortex filament. J. Fluid Mech. 51(3), 477–485 (1972)

    Article  ADS  MathSciNet  Google Scholar 

  • Korpinar, 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)

    Article  ADS  MathSciNet  Google Scholar 

  • Körpinar, T., Demırkol, 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)

    Article  ADS  Google Scholar 

  • 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 (2019)

    Article  Google Scholar 

  • Korpinar, T., Demirkol, R.C., Korpinar, 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 Modern Phys. 16(08), 1950117 (2019)

    Article  MathSciNet  Google Scholar 

  • 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 S2. Revista Mexicana de física 65(6), 626–633 (2019)

    Article  MathSciNet  Google Scholar 

  • Korpinar, Z., Inc, M., Bayram, M.: Theory and application for the system of fractional Burger equations with Mittag Leffler kernel. Appl. Math. Comput. 367, 124781 (2020)

    MathSciNet  Google Scholar 

  • Körpinar, T., Körpinar, Z., Chu, Y.M., Akinlar, M.A., Inc, M.: New uniform motion and Fermi–Walker derivative of normal magnetic biharmonic particles in Heisenberg space. Symmetry 12(6), 1017 (2020)

    Article  ADS  Google Scholar 

  • Korpinar, T., Korpinar, Z., İnç, M., Baleanu, D.: Geometric phase for timelike spherical normal magnetic charged particles optical ferromagnetic model. J. Taibah Univ. Sci. 14(1), 742–749 (2020)

    Article  Google Scholar 

  • Korpinar, T., Demirkol, R.C., Khalil, E.M., Korpinar, Z., Baleanu, D.: Quasi binormal Schrodinger evolution of wave polarizatıon field of light wıth repulsive type. Phys. Scr. 96(4), 045104 (2021)

    Article  ADS  CAS  Google Scholar 

  • Korpinar, Z., Inc, M., Bayram, M., Hashemi, M.S.: New optical solitons for Biswas–Arshed equation with higher order dispersions and full nonlinearity. Optik 206, 163332 (2020)

    Article  ADS  Google Scholar 

  • Körpinar, T., Körpinar, 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 (2021)

    Article  ADS  Google Scholar 

  • Körpınar, T., Demirkol, R.C., Körpınar, Z.: Magnetic helicity and electromagnetic vortex filament flows under the influence of Lorentz force in MHD. Optik 242, 167302 (2021)

    Article  ADS  Google Scholar 

  • Körpinar, T., Sazak, A., Körpinar, Z.: Optical effects of some motion equations on quasi-frame with compatible Hasimoto map. Optik 247, 167914 (2021)

    Google Scholar 

  • Lamb, G.L., Jr.: Solitons on moving space curves. J. Math. Phys. 18(8), 1654–1661 (1977)

    Article  ADS  MathSciNet  Google Scholar 

  • Mukherjee, R., Balakrishnan, R.: Moving curves of the sine-Gordon equation: New links. Phys. Lett. A 372(42), 6347–6362 (2008)

    Article  ADS  MathSciNet  CAS  Google Scholar 

  • Onoda, M., Murakami, S., Nagaosa, N.: Hall effect of light. Phys. Rev. Lett. 93(8), 083901 (2004)

    Article  ADS  PubMed  Google Scholar 

  • Onoda, M., Murakami, S., Nagaosa, N.: Geometrical aspects in optical wave-packet dynamics. Phys. Rev. E 74(6), 066610 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  • Özdemir, N., Yavuz, M.: Numerical solution of fractional Black-Scholes equation by using the multivariate Padé approximation. Acta Phys. Pol. A 132(3), 1050 (2017)

    Article  ADS  Google Scholar 

  • Rogers, C., Schief, W.K.: Intrinsic geometry of the NLS equation and its auto-Bäcklund transformation. Stud. Appl. Math. 101(3), 267–287 (1998)

    Article  MathSciNet  Google Scholar 

  • Schief, W.K., Rogers, C.: The Da Rios system under a geometric constraint: the Gilbarg problem. J. Geom. Phys. 54(3), 286–300 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  • Segert, J.: Photon Berry’s phase as a classical topological effect. Phys. Rev. A 36(1), 10 (1987)

    Article  ADS  MathSciNet  CAS  Google Scholar 

  • Srivastava, H.M., Kumar, D., Singh, J.: An efficient analytical technique for fractional model of vibration equation. Appl. Math. Model. 45, 192–204 (2017)

    Article  MathSciNet  Google Scholar 

  • Tugal, I., Sevgin, F.: Analysis and forecasting of temperature using time series forecasting methods a case study of Mus. Therm. Sci. 27(4 Part B), 3081–3088 (2023)

    Article  Google Scholar 

Download references

Funding

No funding was received for the study.

Author information

Authors and Affiliations

  1. Department of Mathematics, Muş Alparslan University, 49250, Muş, Turkey

    Talat Körpinar, Fatih Şevgin & Zeliha Körpinar

Authors
  1. Talat Körpinar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Fatih Şevgin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zeliha Körpinar
    View author publications

    You can also search for this author in PubMed Google Scholar

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

Correspondence to Talat Körpinar.

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.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Körpinar, T., Şevgin, F. & Körpinar, Z. Optical quantum model for binormal Schrodinger system for light diffuse with q-HATM. Opt Quant Electron 56, 448 (2024). https://doi.org/10.1007/s11082-023-06021-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-023-06021-y

Keywords

Search

Navigation