Exceptional Points in Non-Hermitian Photonic Crystals Incorporated With a Defect
Source abstract
Abstract
We explored exceptional points (EPs) in one dimensional non-Hermitian photonic crystals incorporated with a defect. The defect was asymmetric with respect to the center. Two EPs could be derived by modulating the normalized frequency and the gain-loss coefficient of defect. The reflection coefficient complex phase changed dramatically around EPs, and the change in complex phase was π at EPs. The electric field of EPs was mainly restricted to the defect, which can induce a giant Goos–Hänchen (GH) shift. Moreover, we found a coherent perfect absorption-laser point (CPA-LP) in the structure. A giant GH shift also existed around the CPA-LP. The study may have found applications in highly sensitive sensors.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Quantum Mechanics and Non-Hermitian Physics · Nonlinear Photonic Systems · Advanced Fiber Laser Technologies
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Laboratory of Functional Materials and Devices for Informatics, Hubei University of Science and Technology, Xianning 437100, China
School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, China
School of Computer Science and Technology, Hubei University of Science and Technology, Xianning 437100, China
Hubei Key Laboratory of Optical Information and Pattern Recognition, Wuhan Institute of Technology, Wuhan 430205, China
Funding
This research was funded by National Natural Science Foundation of China · the Colleges and Universities of National Innovation and Entrepreneurship the Training Plan · the Scientific Research Project of Hubei University of Science and Technology · the Science and Technology Plan Research Project of Hubei Education Department
References (55)
Show source-provided references
1. Real spectra in non-Hermitian Hamiltonians having PT symmetry10.1103/PhysRevLett.80.5243 ↗
2. Exact solutions for the quintic nonlinear Schrödinger equation with time and space10.1007/s11071-015-2426-1 ↗
3. Exact solutions of the (2 + 1)-dimensional quintic nonlinear Schrödinger equation with variable coefficients10.1007/s11071-014-1891-2 ↗
4. Optical imaginary directional couplers10.1109/JLT.2018.2814038 ↗
5. Wang, H., Kong, W., Zhang, P., Li, Z., and Zhong, D. (2019). Coherent perfect absorption laser points in one-dimensional anti-parity–time-symmetric photonic crystals. Appl. Sci., 9.10.3390/app9132738 ↗
6. PT-symmetric acoustics
7. Electric circuits for non-Hermitian Chern insulators10.1103/PhysRevB.100.081401 ↗
8. Exceptional points and asymmetric mode switching in plasmonic waveguides10.1109/JLT.2016.2609899 ↗
9. Generation of high-power parabolic pulses in quantum dot waveguide amplifiers10.1016/j.ijleo.2019.01.103 ↗
10. Snakelike similaritons in tapered grating dual-core waveguide amplifiers10.1088/1402-4896/ab2614 ↗
11. Spectral discrete diffraction with non-Hermitian coupling10.1364/JOSAB.35.002387 ↗
12. Adiabatic transfer of surface plasmons in non-Hermitian graphene waveguides10.1007/s11082-018-1661-3 ↗
13. Exceptional points in Fano-resonant graphene metamaterials10.1364/OE.25.007203 ↗
14. Three-dimensional Hermite-Bessel solitons in strongly nonlocal media with variable potential coefficients10.1016/j.optcom.2013.09.043 ↗
15. Pattern transfer of hexagonal packed structure via ultrathin metal nanomesh masks for formation of Si nanopore arrays10.1016/j.jallcom.2016.11.102 ↗
16. Spatiotemporal soliton supported by parity-time symmetric potential with competing nonlinearities10.1209/0295-5075/115/14006 ↗
17. Light bullet supported by parity-time symmetric potential with power-law nonlinearity10.1007/s11071-016-2612-9 ↗
18. Giant Goos-Hänchen shifts in non-Hermitian dielectric multilayers incorporated with graphene10.1364/OE.26.002817 ↗
19. Unidirectional invisibility induced by PT-symmetric periodic structures10.1103/PhysRevLett.106.213901 ↗
20. Cao, H., Zhao, D., Fang, M., Guo, H., Hu, Y., Liu, F., Zhong, D., and Xiong, H. (2019). Unidirectional invisibility induced by complex anti-parity–time symmetric periodic lattices. Appl. Sci., 9.10.3390/app9183808 ↗
21. Topological bound modes in anti-PT-symmetric optical waveguide arrays10.1364/OE.27.013858 ↗
22. Three-dimensional solitons in Bose-Einstein condensates with spin-orbit coupling and Bessel optical lattices10.1103/PhysRevA.98.033827 ↗
23. Light bullets in coupled nonlinear Schrödinger equations with variable coefficients and a trapping potential10.1364/OE.25.009094 ↗
24. Zhao, D., Xu, B., Guo, H., Xu, W., and Zhong, D. (2019). Low threshold optical bistability in aperiodic PT-symmetric lattices composited with Fibonacci sequence dielectrics and graphene. Appl. Sci., 9.10.3390/app9235125 ↗
25. Xu, C., Zhang, P., Zhao, D., Guo, H., Huang, M., and Ke, S. (2019). Plasmonic Jackiw-Rebbi modes in graphene waveguide arrays. Appl. Sci., 9.10.3390/app9194152 ↗
26. Thermodynamic modeling and experimental verification of a NaNO3–KNO3–LiNO3–Ca (NO3)2 system for solar thermal energy storage10.1039/C7NJ02051A ↗
27. Arsenene and antimonene doped by group-VA atoms: First-principles studies of the geometric structures, electronic properties and STM images10.1016/j.physb.2018.08.022 ↗
28. Spatiotemporal soliton clusters in strongly nonlocal media with variable potential coefficients10.1007/s11071-016-3081-x ↗
29. Vortex solitons in Bose-Einstein condensates with spin-orbit coupling and gaussian optical lattices10.1016/j.aml.2018.12.023 ↗
30. Surface plasmonic lattice solitons in semi-infinite graphene sheet arrays10.1109/JLT.2017.2707601 ↗
31. Multipole solitons in a cold atomic gas with a parity-time symmetric potential10.1007/s11071-018-4694-z ↗
32. Solitons in the two-dimensional fractional Schrödinger equation with radially symmetric PT potential10.1016/j.ijleo.2019.163652 ↗
33. Two-dimensional vector solitons in a cold atomic gas via electromagnetically induced transparency10.1016/j.physleta.2019.06.011 ↗
34. Topological plasmonic modes in graphene-coated nanowire arrays10.1007/s11082-019-1867-z ↗
35. Two-dimensionally confined topological edge states in photonic crystals10.1088/1367-2630/18/11/113013 ↗
36. Strong absorption near exceptional points in plasmonic wave guide arrays10.1007/s11082-018-1584-z ↗
37. Resonantly absorbing one-dimensional photonic crystals10.1103/PhysRevE.72.046604 ↗
38. Lead-free, air-stable ultrathin Cs3Bi2I9 perovskite nanosheets for solar cells10.1016/j.solmat.2018.04.032 ↗
39. Hydrogenated arsenenes as planar magnet and Dirac material10.1063/1.4926761 ↗
40. Optical bistability in defective photonic multilayers doped by graphene10.1007/s11082-017-0999-2 ↗
41. Optical bistability in parity-time-symmetric dielectric multilayers incorporated with graphene10.1364/JOSAB.36.001731 ↗
42. Goos-Hänchen effect in the gaps of photonic crystals10.1364/OL.28.001633 ↗
43. Imaginary modulation inducing giant spatial Goos-Hänchen shifts in one-dimensional defective photonic lattices10.1007/s11082-019-1828-6 ↗
44. Large lateral shift in complex dielectric multilayers with nearly parity–time symmetry10.1007/s11082-018-1593-y ↗
45. Zhao, D., Liu, F., Meng, P., Wen, J., Xu, S., Li, Z., and Zhong, D. (2019). Reflection enhancement and giant lateral shift in defective photonic crystals with graphene. Appl. Sci., 9.10.3390/app9102141 ↗
46. Large and tunable lateral shifts in one-dimensional PT-symmetric layered structures10.1364/OE.25.009676 ↗
47. Observation of parity–time symmetry in optics10.1038/nphys1515 ↗
48. Experimental demonstration of a unidirectional refectionless parity-time metamaterial at optical frequencies10.1038/nmat3495 ↗
49. Parity-time synthetic photonic lattices10.1038/nature11298 ↗
50. Yariv, A., and Yeh, P. (2007). Photonics: Optical Electronics in Modern Communications, Oxford University Press. [6th ed.].
51. Goos-Hänchen shift in complex crystals10.1103/PhysRevA.84.042119 ↗
52. Defect states and exceptional point splitting in the band gaps of one-dimensional parity-time lattices10.1364/OE.23.022274 ↗
53. Selectively toluene-filled photonic crystal fiber Sagnac interferometer with high sensitivity for temperature sensing applications10.1016/j.rinp.2019.102297 ↗
54. Monfared, Y.E., Hajati, M., Liang, C., Yang, S., and Qasymeh, M. (2019). Quasi-d-shaped fiber optic plasmonic biosensor for high-index analyte detection. IEEE Sens. J.
55. Conservation of angular momentum, transverse shift, and spin Hall effect in reflection and refraction of an electromagnetic wave packet10.1103/PhysRevLett.96.073903 ↗