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Nonreciprocal transmission in a parity-time symmetry system with two types of defects

  • Min Luo , Xiaomeng Zhang and Guanxia Yu EMAIL logo
Published/Copyright: March 24, 2021

Abstract

In this paper, we have studied two different mechanisms of nonreciprocal and asymmetric transmission in the one-dimensional asymmetric optical system composed of parity-time (PT) and magneto-optical materials with different defect layers. It is shown that there are three pairs of nonreciprocal dispersive curves with the perfect transmission in the three different band gaps, when the defect layer is filled with normal material. When the defect layer is filled with magneto-optical material, the transmittivity of two nonreciprocal frequencies can be modulated by the magnitude and direction of the defect layer’s external magnetic field and appears to be asymmetric nonreciprocal transmission. One-way frequency corresponding to one direction has extraordinary transmission, and the other one-way frequency corresponding to the opposite direction is suppressed. When the defect layer is filled with loss or gain material, the transmittivity of two nonreciprocal frequencies can be amplificated or attenuated simultaneously, respectively. The nonreciprocal propagation is originated from the resonant modes in the system due to the defect layer, and the nonreciprocal and asymmetric transmission is determined by the broken PT system due to magneto-optical and gain/loss material in the defect layer. Such controllable and asymmetric nonreciprocal propagation in the composite system may have broad potential applications in nonreciprocal communication and integration devices.


Corresponding author: Guanxia Yu, College of Science, Nanjing Forestry University, Nanjing210037, PR China, E-mail:

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission. Min Luo and Xiaomeng Zhang contributed equally to this article.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

References

[1] C. M. Bender and S. Boettcher, “Real spectra in non-Hermitian Hamiltonians having PT symmetry,” Phys. Rev. Lett., vol. 80, pp. 5243–5246, 1998. https://doi.org/10.1103/physrevlett.80.5243.Search in Google Scholar

[2] C. M. Bender, S. Boettcher, and P. N. Meisinger, “PT-symmetric quantum mechanics,” J. Math. Phys., vol. 40, pp. 2201–2229, 1999. https://doi.org/10.1063/1.532860.Search in Google Scholar

[3] Z. Ahmed, “Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential,” Phys. Lett. A, vol. 282, pp. 343–348, 2001. https://doi.org/10.1016/s0375-9601(01)00218-3.Search in Google Scholar

[4] C. M. Bender, B. K. Berntson, D. Parker, and E. Samuel, “Observation of PT phase transition in a simple mechanical system,” Am. J. Phys., vol. 81, pp. 173–179, 2013. https://doi.org/10.1119/1.4789549.Search in Google Scholar

[5] V. Achilleos, G. Theocharis, O. Richoux, and V. Pagneux, “Non-Hermitian acoustic metamaterials: role of exceptional points in sound absorption,” Phys. Rev. B, vol. 95, p. 144303, 2017. https://doi.org/10.1103/physrevb.95.144303.Search in Google Scholar

[6] K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Beam dynamics in PT symmetric optical lattices,” Phys. Rev. Lett., vol. 100, p. 103904, 2008. https://doi.org/10.1103/physrevlett.100.103904.Search in Google Scholar

[7] Y. T. Fang, Y. C. Zhang, and J. J. Wang, “Resonance-dependent extraordinary reflection and transmission in PC-symmetric layered structure,” Optic Commun., vol. 407, pp. 255–261, 2018. https://doi.org/10.1016/j.optcom.2017.09.049.Search in Google Scholar

[8] L. Feng, Y. L. Xu, W. S. Fegadolli, et al.., “Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies,” Nat. Mater., vol. 12, no. 2, pp. 108–113, 2013. https://doi.org/10.1038/nmat3495.Search in Google Scholar PubMed

[9] J. Zhang, B. Peng, S. K. Ozdemir, et al.., “A phonon laser operating at an exceptional point,” Nat. Photon., vol. 12, pp. 479–484, 2018. https://doi.org/10.1038/s41566-018-0213-5.Search in Google Scholar

[10] S. K. Ozdemir, S. Rotter, F. Nori, and L. Yang, “Parity-time symmetry and exceptional points in photonics,” Nat. Mater., vol. 18, pp. 783–798, 2019. https://doi.org/10.1038/s41563-019-0304-9.Search in Google Scholar PubMed

[11] J. Gear, Y. Sun, S. Y. Xiao, et al.., “Unidirectional zero reflection as gauged parity-time symmetry,” New J. Phys., vol. 19, p. 123041, 2017. https://doi.org/10.1088/1367-2630/aa9b56.Search in Google Scholar

[12] Y. T. Fang, Y. C. Zhang, and J. Xia, “Reversible unidirectional reflection and absorption of PT-symmetry structure under electro-optical modulation,” Optic Commun., vol. 416, pp. 25–31, 2018. https://doi.org/10.1016/j.optcom.2018.01.059.Search in Google Scholar

[13] Y. Sun, W. Tan, H. Li, J. Li, and H. Chen, “Experimental demonstration of a coherent perfect absorber with PT phase transition,” Phys. Rev. Lett., vol. 112, p. 143903, 2014. https://doi.org/10.1103/physrevlett.112.143903.Search in Google Scholar

[14] K. G. Makris, R. El-Ganainy, D. N. Christodoulidesand, and Z. H. Musslimani, “Beam dynamics in PT symmetric optical lattices,” Phys. Rev. Lett., vol. 100, no. 10, p. 103904, 2008. https://doi.org/10.1103/physrevlett.100.103904.Search in Google Scholar PubMed

[15] S. Longhi, “Invisibility in PT-symmetric complex crystals,” J. Phys. Math. Theor., vol. 44, p. 485302, 2011. https://doi.org/10.1088/1751-8113/44/48/485302.Search in Google Scholar

[16] H. Ramezani, T. Kotto, R. El-Ganainy, and D. N. Christodoulides, “Unidirectional nonlinear PT-symmetric optical structures,” Phys. Rev. A, vol. 82, p. 043803, 2010. https://doi.org/10.1103/physreva.82.043803.Search in Google Scholar

[17] S. L. Ding and G. P. Wang, “Extraordinary reflection and transmission with direction dependent wavelength selectivity based on parity-time-symmetric multilayers,” J. Appl. Phys., vol. 117, p. 023104, 2015. https://doi.org/10.1063/1.4905319.Search in Google Scholar

[18] B. K. Alexander, V. B. Alexander, I. Mitsuteru, and S. K. Yuri, “One-way electromagnetic Tamm states in magnetophotonic structures,” Appl. Phys. Lett., vol. 95, p. 011101, 2009. https://doi.org/10.1063/1.3167356.Search in Google Scholar

[19] H. Y. Dong, J. Wang, and K. H. Fung, “One-way optical tunneling induced by nonreciprocal dispersion of Tamm states in magnetophotonic crystals,” Opt. Lett., vol. 38, no. 24, pp. 5232–5235, 2013. https://doi.org/10.1364/ol.38.005232.Search in Google Scholar

[20] J. Y. Wu, X. H. Wu, X. B. Yang, and H. Y. Li, “Extraordinary transmission and reflection in PT-symmetric two-segment-connected triangular optical waveguide networks with perfect and broken integer waveguide length ratios,” Chin. Phys. B, vol. 28, nos 1–9, p. 104208, 2019. https://doi.org/10.1088/1674-1056/ab3f92.Search in Google Scholar

[21] M. E. Sasin, R. P. Seisyan, M. A. Kalitteevski, S. Brand, R. A. Abram, et al.., “Tamm plasmon polaritons: slow and spatially compact light,” Appl. Phys. Lett., vol. 92, p. 251112, 2008. https://doi.org/10.1063/1.2952486.Search in Google Scholar

[22] G. X. Yu, H. Z. Yang, J. J. Fu, X. M. Zhang, and R. Y. Cao, “Nonreciprocal transmission using a multilayer magneto-optical dispersive material with defect,” J. Electromagn. Waves, vol. 34, pp. 1400–1409, 2020. https://doi.org/10.1080/09205071.2019.1696712.Search in Google Scholar

[23] G. X. Yu, J. J. Fu, X. M. Zhang, and R. Y. Cao, “Nonreciprocal transmission of electromagnetic waves using an electric–gyrotropic dispersive medium,” Z.  Naturforsch., vol. 75, no. 1a, pp. 81–88, 2020. https://doi.org/10.1515/zna-2019-0120.Search in Google Scholar

Received: 2020-10-20
Revised: 2021-02-22
Accepted: 2021-02-23
Published Online: 2021-03-24
Published in Print: 2021-06-25

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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