Skip to main content

Advertisement

SpringerLink
Log in

Nonreciprocal propagation of adjustable multi-pair edge-states in one dimensional crystal

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

Abstract

In this paper, we designed a one-dimensional magneto-optic(MO) multilayer structure with the nonreciprocal transmission of dual-mode. The composite structure’s energy band and transmission properties are studied using transfer matrix theory. Two pairs of nonreciprocal dispersive curves corresponding to edge modes appear in the bandgap. When the gain and loss factors are introduced into the multilayer structure, tunable and nonreciprocal extraordinary transmission appears above PT thresholds. Significantly, the composite structure with small and unequal gain/loss factors induces abnormal transmission and keeps nonreciprocal frequencies stable. Such distinguishing properties in the composite system are attractive for applications, such as optical isolators and multichannel nonreciprocal optical devices.

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
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • Bender, C.M., Boettcher, S.: Real spectra in non-Hermitian Hamiltonians having PT symmetry. Phys. Rev. Lett. 80, 5243–5246 (1998)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  • Bender, C.M., Boettcher, S., Meisinger, P.N.: PT-symmetric quantum mechanics. J. Math. Phys. 40, 2201–2229 (1999)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  • Chang, L., Jiang, X., Hua, S., Yang, C., Wen, J., Jiang, L., Li, G., Wang, G., Xiao, M.: Parity-time symmetry and variable optical isolation in active-passive-coupled microresonators. Nat. Photonics 8, 524 (2014)

    Article  ADS  Google Scholar 

  • Chong, Y.D., Ge, L., Stone, A.D.: P t-symmetry breaking and laser-absorber modes in optical scattering systems. Phys. Rev. Lett. 106, 093902 (2011)

    Article  ADS  Google Scholar 

  • Chong, Y.D., Ge, L., Stone, A.D.: PT-symmetry breaking and laser-absorber modes in optical scattering systems. Phys. Rev. Lett. 106, 093902 (2011)

    Article  ADS  Google Scholar 

  • Ding, S., Guo, P.W.: Nonreciprocal optical Bloch-Zener oscillations in ternary parity-time-symmetric waveguide lattices. Appl. Phy. Lett. 100(15), 151913 (2012)

    Article  ADS  Google Scholar 

  • Ding, S., Wang, G.P.: Extraordinary reflection and transmission with direction dependent wavelength selectivity based on parity-time-symmetric multilayers. J. Appl. Phys. 117, 023104 (2015)

    Article  ADS  Google Scholar 

  • Dong, H.Y., Wang, J., Fung, K.H.: One-way optical tunneling induced by nonreciprocal dispersion of Tamm states in magnetophotonic crystals. Opt. Lett. 38(24), 5232–5235 (2013)

    Article  ADS  Google Scholar 

  • Fang, Y.T.: Tunable nonreciprocal tunneling based on nonsymmetric magnetoplasmonic resonance structure. Plasmonics 9, 1133–1141 (2014)

    Article  Google Scholar 

  • Fang, Y.T., Ni, Y.X., He, H.Q., Hu, J.X.: Effect of hybrid state of surface plasmon-polaritons, magnetic defect mode and optical Tamm state on nonreciprocal propagation. Opt. Comm. 320, 99–104 (2014)

    Article  ADS  Google Scholar 

  • Fang, Y.T., Wang, Y.Y., Zhang, Y.C.: Twofold unidirectional properties of parity-time symmetry structure under magneto-optical modulation. Opt. Eng. 57(2), 027102 (2018)

    Article  ADS  Google Scholar 

  • Feng, L., Xu, Y.L., Fegadolli, W.S., et al.: Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies. Nat. Mater. 12(2), 108–113 (2013)

    Article  ADS  Google Scholar 

  • Iorsh, I., Orlov, A., Belov, P., Kivshar, Y.: Spontaneous emission enhancement in metal-dielectric metamaterials. Appl. Phys. Lett. 99, 151914 (2011)

    Article  ADS  Google Scholar 

  • Jin, L., Zhang, X.Z., Zhang, G., Song, Z.: Reciprocal and unidirectional scattering of parity-time symmetric structures. Sci. Entific Rep. 6, 32919 (2016)

    Article  ADS  Google Scholar 

  • Kavokin, A.V., Shelykh, I.A., Malpuech, G.: Lossless interface modes at the boundary between two periodic dielectric structures. Phy. Rev. B. 72, 233102 (2005)

    Article  ADS  Google Scholar 

  • Kong, J.A.: Electromagnetic Wave Theory. A Wiley-Interscience Publication, Hoboken, NJ, USA (1990)

    Google Scholar 

  • Lin, Z., Ramezani, H., Eichelkraut, T., Kottos, T., Cao, H., Christodoulides, D.N.: Unidirectional invisibility induced by P T-symmetric periodic structures Phys. Rev. Lett. 106, 213901 (2011)

    Article  ADS  Google Scholar 

  • Longhi, S.: Optical realization of relativistic non-Hermitian quantum mechanics. Phys. Rev. Lett. 103, 123601 (2009)

    Article  ADS  Google Scholar 

  • Longhi, S.: Bloch oscillations in complex crystals with PT symmetry. Phys. Rev. Lett. 103(12), 123601 (2009)

    Article  ADS  Google Scholar 

  • Longhi, S.: PT-symmetric laser absorber. Phys. Rev. A. 82(3), 031801 (2010)

    Article  ADS  Google Scholar 

  • Longhi, S.: Parity-time symmetry meets photonics: A new twist in non-Hermitian optics. Europhys. Lett. 120, 64001 (2017)

    Article  ADS  Google Scholar 

  • Makris, K.G., El-Ganainy, R., Christodoulides, D.N.: Beam dynamics in PT symmetric optical lattices. Phys. Rev. Lett. 100, 103904 (2008)

    Article  ADS  Google Scholar 

  • Regensburger, A., Bersch, C., Miri, M.A., Onishchukov, G., Christodoulides, D.N., Peschel, U.: Parity-time synthetic photonic lattices. Nature 488, 167–171 (2012)

    Article  ADS  Google Scholar 

  • Regensburger, A., Bersch, C., Miri, M.-A., Onishchukov, G., Christodoulides, D.N., Peschel, U.: Parity-time synthetic photonic lattice. Nature 488, 167–171 (2012)

    Article  ADS  Google Scholar 

  • Sun, Y., Tan, W., Li, H., Li, J., Chen, H.: Experimental demonstration of a coherent perfect absorber with PT phase transition. Phys. Rev. Lett. 112, 143903 (2014)

    Article  ADS  Google Scholar 

  • Yeh, P.: Optical Waves in Layered Media, 2nd edn. John Wiley and Sons, USA (2005)

    Google Scholar 

  • Yu, G.X., Zhang, X.M., Cao, R.Y., Lv, Y.H.: Unidirectional transmission in two-dimensional photonic crystal composed of parity-time symmetric and magneto-optical materials. Opt. Eng. 59(11), 117102 (2020)

    Article  ADS  Google Scholar 

  • Yu, G.X., Lv, Y.H., Zhang, X.M., Cao, R.Y.: Electromagnetic propagation characteristics of one-dimensional photonic crystals with metal layers in quasi-parity-time (PT)-symmetric system. Z. Naturforsch. 75(7), 665–670 (2020a)

    Article  ADS  Google Scholar 

  • Yu, G.X., Yang, H.Z., Fu, J.J., Zhang, X.M., Cao, R.Y.: Nonreciprocal transmission using a multilayer magneto-optical dispersive material with defect. J. Electromagnet. Wave. 34(10), 1400–1409 (2020b)

    Article  Google Scholar 

Download references

Funding

The authors have not disclosed any funding.

Author information

Authors and Affiliations

  1. College of Materials Science and Engineering, Nanjing Forestry University, Nanjing, 210037, People’s Republic of China

    Xiaomeng Zhang

  2. College of Science, Nanjing Forestry University, Nanjing, 210037, People’s Republic of China

    Guanxia Yu

  3. College of Information Sciences and Technology, Nanjing Forestry University, Nanjing, 210037, People’s Republic of China

    Guanxia Yu, Yu Shen, Haodong Wang & Guangyao Yuan

Authors
  1. Xiaomeng Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Guanxia Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu Shen
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Haodong Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Guangyao Yuan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Guanxia Yu.

Ethics declarations

Conflict of interest

The authors have not disclosed any competing interests.

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 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

Zhang, X., Yu, G., Shen, Y. et al. Nonreciprocal propagation of adjustable multi-pair edge-states in one dimensional crystal. Opt Quant Electron 54, 841 (2022). https://doi.org/10.1007/s11082-022-04277-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-022-04277-4

Keywords

Search

Navigation