Abstract
We present a novel method to achieve the decoupling between the transmission and reflection waves of non-Hermitian doped epsilon-near-zero (ENZ) media by inserting a dielectric slit into the structure. Our method also allows for independent control over the amplitude and the phase of both the transmission and reflection waves through few dopants, enabling us to achieve various optical effects, such as perfect absorption, high-gain reflection without transmission, reflectionless high-gain transmission and reflectionless total transmission with different phases. By manipulating the permittivity of dopants with extremely low loss or gain, we can realize these effects in the same configuration. We also extend this principle to multi-port doped ENZ structures and design a highly reconfigurable and reflectionless signal distributor and generator that can split, amplify, decay and phase-shift the input signal in any desired way. Our method overcomes limitations of optical manipulation in doped ENZ caused by the interdependent nature of the transmission and reflection, and has potential applications in novel photonic devices.
Similar content being viewed by others
References
L. Bao, X. Fu, R. Y. Wu, A. Ma, and T. J. Cui, Fullspace manipulations of electromagnetic wavefronts at two frequencies by encoding both amplitude and phase of metasurface, Adv. Mater. Technol. 6(4), 2001032 (2021)
Z. Li, J. Zhang, J. Liu, L. Liu, X. Wang, M. Premaratne, J. Yao, and W. Zhu, Independent manipulation of aperture and radiation fields in a transmission-reflection integrated complex-amplitude metasurface, Adv. Mater. Technol. 8(6), 2201192 (2023)
L. Deng, Z. Li, Z. Zhou, Z. He, Y. Zeng, G. Zheng, and S. Yu, Bilayer-metasurface design, fabrication, and functionalization for full-space light manipulation, Adv. Opt. Mater. 10(7), 2102179 (2022)
T. Cai, G. M. Wang, S. W. Tang, H. X. Xu, J. W. Duan, H. J. Guo, F. X. Guan, S. L. Sun, Q. He, and L. Zhou, High-efficiency and full-space manipulation of electromagnetic wave fronts with metasurfaces, Phys. Rev. Appl. 8(3), 034033 (2017)
C. Zheng, H. Li, J. Li, J. Li, Z. Yue, F. Yang, Y. Zhang, and J. Yao, All-dielectric metasurface for polarization selective full-space complex amplitude modulations, Opt. Lett. 47(17), 4291 (2022)
G. Li, H. Shi, J. Yi, B. Li, A. Zhang, and Z. Xu, Transmission–reflection-integrated metasurfaces design for simultaneous manipulation of phase and amplitude, IEEE Trans. Antenn. Propag. 70(7), 6072 (2022)
I. Liberal and N. Engheta, Near-zero refractive index photonics, Nat. Photonics 11(3), 149 (2017)
N. Kinsey, C. DeVault, A. Boltasseva, and V. M. Shalaev, Near zero-index materials for photonics, Nat. Rev. Mater. 4(12), 742 (2019)
X. Niu, X. Hu, S. Chu, and Q. Gong, Epsilon-near-zero photonics: A new platform for integrated devices, Adv. Opt. Mater. 6(10), 1701292 (2018)
J. Y. Wu, Z. T. Xie, Y. H. Sha, H. Y. Fu, and Q. Li, Epsilon near-zero photonics: Infinite potentials, Photon. Res. 9(8), 1616 (2021)
S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, A metamaterial for directive emission, Phys. Rev. Lett. 89(21), 213902 (2002)
J. J. Yang, Y. Francescato, S. A. Maier, F. Mao, and M. Huang, Mu and epsilon near zero metamaterials for perfect coherence and new antenna designs, Opt. Express 22(8), 9107 (2014)
A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern, Phys. Rev. B 75(15), 155410 (2007)
G. Briere, B. Cluzel, and O. Demichel, Improving the transmittance of an epsilon-near-zero-based wavefront shaper, Opt. Lett. 41(19), 4542 (2016)
M. Silveirinha and N. Engheta, Tunneling of electromagnetic energy through subwavelength channels and bends using epsilon-near-zero materials, Phys. Rev. Lett. 97(15), 157403 (2006)
J. Luo and Y. Lai, Anisotropic zero-index waveguide with arbitrary shapes, Sci. Rep. 4(1), 5875 (2014)
M. M. Sadeghi, H. Nadgaran, and H. Y. Chen, Perfect field concentrator using zero index metamaterials and perfect electric conductors, Front. Phys. 9(1), 90 (2014)
I. Liberal, A. M. Mahmoud, Y. Li, B. Edwards, and N. Engheta, Photonic doping of epsilon-near-zero media, Science 355(6329), 1058 (2017)
M. Silveirinha and N. Engheta, Design of matched zero index metamaterials using nonmagnetic inclusions in epsilon-near-zero media, Phys. Rev. B 75(7), 075119 (2007)
V. C. Nguyen, L. Chen, and K. Halterman, Total transmission and total reflection by zero index metamaterials with defects, Phys. Rev. Lett. 105(23), 233908 (2010)
Y. Xu and H. Chen, Total reflection and transmission by epsilon-near-zero metamaterials with defects, Appl. Phys. Lett. 98(11), 113501 (2011)
K. Zhang, J. Fu, L. Y. Xiao, Q. Wu, and L. W. Li, Total transmission and total reflection of electromagnetic waves by anisotropic epsilon-near-zero metamaterials embedded with dielectric defects, J. Appl. Phys. 113(8), 084908 (2013)
Y. Wu and J. Li, Total reflection and cloaking by zero index metamaterials loaded with rectangular dielectric defects, Appl. Phys. Lett. 102(18), 183105 (2013)
Y. Huang and J. Li, Total reflection and cloaking by triangular defects embedded in zero index metamaterials, Adv. Appl. Math. Mech. 7(2), 135 (2015)
J. Hao, W. Yan, and M. Qiu, Super-reflection and cloaking based on zero index metamaterial, Appl. Phys. Lett. 96(10), 101109 (2010)
J. Luo, P. Xu, L. Gao, Y. Lai, and H. Chen, Manipulate the transmissions using index-near-zero or epsilon-near-zero metamaterials with coated defects, Plasmonics 7(2), 353 (2012)
T. Wang, J. Luo, L. Gao, P. Xu, and Y. Lai, Hiding objects and obtaining Fano resonances in index-near-zero and epsilon-near-zero metamaterials with Bragg-fiber-like defects, J. Opt. Soc. Am. B 30(7), 1878 (2013)
A. M. Mahmoud and N. Engheta, Wave–matter interactions in epsilon-and-mu-near-zero structures, Nat. Commun. 5(1), 5638 (2014)
I. Liberal, Y. Li, and N. Engheta, Reconfigurable epsilon near-zero metasurfaces via photonic doping, Nanophotonics 7(6), 1117 (2018)
L. Zhao, Y. Feng, B. Zhu, and J. Zhao, Electromagnetic properties of magnetic epsilon-near-zero medium with dielectric dopants, Opt. Express 27(14), 20073 (2019)
I. Liberal, M. Lobet, Y. Li, and N. Engheta, Near-zero index media as electromagnetic ideal fluids, Proc. Natl. Acad. Sci. USA 117(39), 24050 (2020)
Z. Zhou, Y. Li, E. Nahvi, H. Li, Y. He, I. Liberal, and N. Engheta, General impedance matching via doped epsilon-near-zero media, Phys. Rev. Appl. 13(3), 034005 (2020)
Z. Zhou, Y. Li, H. Li, W. Sun, I. Liberal, and N. Engheta, Substrate-integrated photonic doping for near-zero-index devices, Nat. Commun. 10(1), 4132 (2019)
Z. H. Zhou, H. Li, W. Y. Sun, Y. J. He, I. Liberal, N. Engheta, Z. H. Feng, and Y. Li, Dispersion coding of ENZ media via multiple photonic dopants, Light Sci. Appl. 11(1), 207 (2022)
E. Nahvi, M. J. Mencagli, and N. Engheta, Tunable radiation enhancement and suppression using a pair of photonically doped epsilon-near-zero (ENZ) slabs, Opt. Lett. 47(6), 1319 (2022)
Y. X. Wang and P. Xu, Spatial heterogeneity of the doping mode: A potential optical reconfiguration freedom of photonic doping epsilon-near-zero media, Opt. Mater. 135, 113300 (2023)
Y. Li, Z. H. Zhou, Y. J. He, and H. Li, Epsilon-Near-Zero Metamaterials, Cambridge University Press, Cambridge, 2021
Z. H. Zhou, and Y. Li, N-port equal/unequal-split power dividers using epsilon-near-zero metamaterials, IEEE Trans. Microw. Theory Tech. 69(3), 1529 (2021)
H. Li, Z. Zhou, Y. He, W. Sun, Y. Li, I. Liberal, and N. Engheta, Geometry-independent antenna based on epsilon-near-zero medium, Nat. Commun. 13(1), 3568 (2022)
H. Li, P. Fu, Z. Zhou, W. Sun, Y. Li, J. Wu, and Q. Dai, Performing calculus with epsilon-near zero metamaterials, Sci. Adv. 8(30), eabq6198 (2022)
M. Coppolaro, M. Moccia, G. Castaldi, N. Engheta, and V. Galdi, Non-Hermitian doping of epsilon-near-zero media, Proc. Natl. Acad. Sci. USA 117(25), 13921 (2020)
Y. Y. Fu, X. J. Zhang, Y. D. Xu, and H. Y. Chen, Design of zero index metamaterials with PT symmetry using epsilon near-zero media with defects, J. Appl. Phys. 121(9), 094503 (2017)
J. Luo, B. Liu, Z. H. Hang, and Y. Lai, coherent perfect absorption via photonic doping of zero-index media, Laser Photonics Rev. 12(8), 1800001 (2018)
D. Wang, J. Luo, Z. Sun, and Y. Lai, Transforming zero index media into geometry-invariant coherent perfect absorbers via embedded conductive films, Opt. Express 29(4), 5247 (2021)
B. Y. Jin and C. Argyropoulos, Nonreciprocal transmission in nonlinear PT-symmetric metamaterials using epsilon-near-zero media doped with defects, Adv. Opt. Mater. 7(23), 1901083 (2019)
P. Bai, K. Ding, G. Wang, J. Luo, Z. Q. Zhang, C. T. Chan, Y. Wu, and Y. Lai, Simultaneous realization of a coherent perfect absorber and laser by zero index media with both gain and loss, Phys. Rev. A 94(6), 063841 (2016)
Y. Y. Fu, Y. D. Xu, and H. Y. Chen, Zero index metamaterials with PT symmetry in a waveguide system, Opt. Express 24(2), 1648 (2016)
Y. D. Chong, L. Ge, and A. D. Stone, PT-symmetry breaking and laser-absorber modes in optical scattering systems, Phys. Rev. Lett. 106(9), 093902 (2011)
L. S. Li, J. Zhang, C. Wang, N. Zheng, and H. Yin, Optical bound states in the continuum in a single slab with zero refractive index, Phys. Rev. A 96(1), 013801 (2017)
Y. Y. Fu, Y. D. Xu, and H. Y. Chen, Negative refraction based on purely imaginary metamaterials, Front. Phys. 13(4), 134206 (2018)
Acknowledgements
This work was supported by the National Natural Science Foundation of China (Nos. 12104191 and 11204195), the Natural Science Research of Jiangsu Higher Education Institutions of China (No. 21KJB140006), and the Priority Academic Program Development of Jiangsu Higher Education Institutions.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Declarations The authors declare that they have no competing interests and there are no conflicts.
Rights and permissions
About this article
Cite this article
Wang, Y., Lin, J. & Xu, P. Transmission-reflection decoupling of non-Hermitian photonic doping epsilon-near-zero media. Front. Phys. 19, 33206 (2024). https://doi.org/10.1007/s11467-023-1362-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11467-023-1362-7