Photonics Research, 2018, 6 (6): 06000579, Published Online: Jul. 2, 2018
Extraordinary characteristics for one-dimensional parity-time-symmetric periodic ring optical waveguide networks Download: 542次
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Fig. 1. Schematic of the 1D PTSPROWN, including three unit cells, one entrance, and one exit, where E I , E R , and E O are the input, reflective, and output EM waves, respectively, and the length for each waveguide segment is d . The thin black solid lines at the entrance and exit are all vacuum optical waveguide segments. The thick red solid lines in unit cells are PT-symmetric optical waveguide segments, where the refractive indices of the three subwaveguides are, respectively, n 1 , n 2 , and n 3 , and their length ratios are l 1 , l 2 , and l 3 , respectively.
Fig. 2. Dispersion curve of MgF 2 defined by Eq. (2 ), where the thick red solid line expresses the range investigated in this paper; the thin black dashed lines are all scaling lines, and the values are, respectively, ν 1 = 43 THz (λ 1 = 7.00 μm ), ν 2 = 100 THz (λ 2 = 3.0 μm ), ν 3 = 600 THz (λ 3 = 0.5 μm ), and ν 4 = 1500 THz (λ 4 = 0.2 μm ).
Fig. 3. Distribution diagram of photonic modes, where white and red zones represent WPMs and SPMs, respectively. (a) Frequency range corresponds to the thick red solid line in Fig. 2 . (b) Enlarged drawing of the zone for the first extremum spontaneous PT-symmetric breaking point, whose location is near the communication wavelength, λ = 1550 nm .
Fig. 4. Transmission and reflection spectra at the first extremum spontaneous PT-symmetric breaking point of the 1D ring optical waveguide network with three unit cells, where red dashed and dotted lines and black dotted lines express left- and right-incident results of PT-symmetric network, respectively; thick blue dashed lines denote the results of pure gain-material network with the refractive index n = 1.3705 − ι 2.181 × 10 − 8 ; thin green dotted lines indicate the results of pure loss-material network with the refractive index n = 1.3705 + ι 2.181 × 10 − 8 . (a) Transmission spectra; (b) reflection spectra.
Fig. 5. Intensity map of the photonic localization at the first extremum spontaneous PT-symmetric breaking point of the 1D PTSPROWN with three unit cells, where i –d –j (i , j = 1,2 , 3 ) expresses the upper or lower arm waveguide segment between nodes i and j , and three frequencies are, respectively, ν 1 = 193.415780 THz , ν 2 = 193.415787 THz , and ν 3 = 193.415793 THz . (a)–(c) Three-dimensional map; (d)–(f) two-dimensional map.
Yan Zhi, Xiangbo Yang, Jiaye Wu, Shiping Du, Peichao Cao, Dongmei Deng, Chengyi Timon Liu. Extraordinary characteristics for one-dimensional parity-time-symmetric periodic ring optical waveguide networks[J]. Photonics Research, 2018, 6(6): 06000579.