Abstract
In order to achieve the transformation of amplification and attenuation with one device, we design a parity-time—symmetry structure through resonator modulation. We use the transfer matrix method to study the optical properties of the designed structure. The structure performs amplification along one incidence direction, and attenuation by absorption along the other incidence direction. The contrast of amplification and attenuation, and the corresponding bandwidth can be modulated through the structure parameters. An optimized structure is obtained with the transformation of large amplification and perfect absorption.
Similar content being viewed by others
References
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)
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)
Fang, Y.T., Zhang, Y.C., Wang, J.J.: Resonance-dependent extraordinary reflection and transmission in PC-symmetric layered structure. Opt. Commun. 407, 255–261 (2018a)
Fang, Y.T., Wang, Y.Y., Zhang, Y.C.: Twofold unidirectional properties of parity-time symmetry structure under magneto-optical modulation. Opt. Eng. 57, 027102 (2018b)
Feng, L., Wong, Z.J., Ma, R.M., Wang, Y., Zhang, X.: Single-mode laser by parity–time symmetry breaking. Science 346, 972–975 (2014)
Ge, L., Feng, L.: Contrasting eigenvalue and singular-value spectra for lasing and anti-lasing in a PT-symmetric periodic structure. Phys. Rev. A 95, 013813 (2017)
Gu, J.H., Xi, X., Ma, J.W., Yu, Z.J., Sun, X.K.: Parity-time-symmetric circular Bragg lasers: a proposal and analysis. Sci. Rep. 6, 37688 (2016)
Jones, H.F., Kulishov, M., Kress, B.: Parity time-symmetric vertical cavities: intrinsically single-mode regime in longitudinal direction. Opt. Express 24, 17125–17137 (2016)
Kulishov, M., Laniel, J.M., Bélanger, N., Azaña, J., Plant, D.V.: Nonreciprocal waveguide Bragg gratings. Opt. Express 13, 3068–3078 (2005)
Kulishov, M., Kress, B., Jones, H.F.: Novel optical characteristics of a Fabry–Perot resonator with embedded PT-symmetrical grating. Opt. Express 22, 23164–23181 (2014)
Lin, Z., Ramezani, H., Eichelkraut, T., Kottos, T., Cao, H., Christodoulides, D.N.: Unidirectional invisibility induced by PT-symmetric periodic structures. Phys. Rev. Lett. 106, 213901 (2011)
Longhi, S.: PT-symmetric laser absorber. Phys. Rev. A 82, 031801 (2010)
Longhi, S.: Invisibility in PT-symmetric complex crystals. J. Phys. A Math. Theor. 44, 485302 (2011)
Shramkova, O.V., Tsironis, G.P.: Scattering properties of PT- symmetric layered periodic structures. J. Opt. 18, 105101 (2016)
Wong, Z.J., Xu, Y.L., Kim, J., O’Brien, K., Wang, Y., Feng, L., Zhang, X.: Lasing and anti-lasing in a single cavity. Nat. Photonics 10, 796–801 (2016)
Xiao, S., Drachev, V.P., Kildishev, A.V., Ni, X., Chettiar, U.K., Yuan, H.K., Shalaev, V.M.: Loss-free and active optical negative-index metamaterials. Nature 466, 735–738 (2010)
Yeh, P.: Optical Waves in Layered Media. Wiley, New York (2005)
Zhu, X., Peng, Y., Zhao, D.: Anisotropic reflection oscillation in periodic multilayer structures of parity-time symmetry. Opt. Express 22, 18401–18411 (2014)
Zhu, Y.Y., Zhao, Y.S., Fan, J.H., Zhu, L.: Modal gain analysis of parity-time-symmetric distributed feedback lasers. IEEE J. Sel. Top. Quantum Electron. 22, 1500207 (2016)
Zhu, Y.Y., Zhao, Y.S., Zhu, L.: Modal discrimination in parity-time-symmetric single microring lasers. IEEE Photonics J. 9, 2700908 (2017)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Ye, S., Kuang, X. & Fang, Y. Transformation of amplification and attenuation through PT-symmetry structure under modulation of resonators. Opt Quant Electron 51, 151 (2019). https://doi.org/10.1007/s11082-019-1866-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-019-1866-0