Abstract
Non-Hermitian systems with parity–time (PT)-symmetry have been extensively studied and rapidly developed in resonance wireless power transfer (WPT). The WPT system that satisfies PT-symmetry always has real eigenvalues, which promote efficient energy transfer. However, meeting the condition of PT-symmetry is one of the most puzzling issues. Stable power transfer under different transmission conditions is also a great challenge. Bound state in the continuum (BIC) supporting extreme quality-factor mode provides an opportunity for efficient WPT. Here, we propose theoretically and demonstrate experimentally that BIC widely exists in resonance-coupled systems without PT-symmetry, and it can even realize more stable and efficient power transfer than PT-symmetric systems. Importantly, BIC for efficient WPT is universal and suitable in standard second-order and even high-order WPT systems. Our results not only extend non-Hermitian physics beyond PT-symmetry, but also bridge the gap between BIC and practical application engineering, such as highperformance WPT, wireless sensing and communications.
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Data and code availability All the data and codes that support the findings of this study are available from the corresponding authors upon reasonable request.
References
A. Krasnok, D. G. Baranov, A. Generalov, S. Li, and A. Alu, Coherently enhanced wireless power transfer, Phys. Rev. Lett. 120(14), 143901 (2018)
M. Song, P. Jayathurathnage, E. Zanganeh, M. Krasikova, P. Smirnov, P. Belov, P. Kapitanova, C. Simovski, S. Tretyakov, and A. Krasnok, Wireless power transfer based on novel physical concepts, Nat. Electron. 4(10), 707 (2021)
A. Kurs, A. Karalis, R. Moffatt, J. D. Joannopoulos, P. Fisher, and M. Soljačić, Wireless power transfer via strongly coupled magnetic resonances, Science 317(5834), 83 (2007)
Y. Xie, Z. Zhang, Y. Lin, T. Feng, and Y. Xu, Magnetic quasi-bound state in the continuum for wireless power transfer, Phys. Rev. Appl. 15(4), 044024 (2021)
S. Assawaworrarit, X. Yu, and S. Fan, Robust wireless power transfer using a nonlinear parity–time-symmetric circuit, Nature 546(7658), 387 (2017)
J. Li and B. Zhang, A wireless power transfer system based on quasi-parity–time symmetry with gain–loss ratio modulation, Int. J. Circuit Theory Appl. 51(3), 1039 (2023)
Z. Miao, D. Liu, and C. Gong, Efficiency enhancement for an inductive wireless power transfer system by optimizing the impedance matching networks, IEEE Trans. Biomed. Circuits Syst. 11(5), 1160 (2017)
J. Song, F. Yang, Z. Guo, X. Wu, K. Zhu, J. Jiang, Y. Sun, Y. Li, H. Jiang, and H. Chen, Wireless power transfer via topological modes in dimer chains, Phys. Rev. Appl. 15(1), 014009 (2021)
Z. Guo, J. Jiang, X. Wu, H. Zhang, S. Hu, Y. Wang, Y. Li, Y. Yang, and H. Chen, Rotation manipulation of high-order PT-symmetry for robust wireless power transfer, Fundamental Res., doi: https://doi.org/10.1016/j.fmre.2023.11.010 (2023)
Z. Guo, F. Yang, H. Zhang, X. Wu, Q. Wu, K. Zhu, J. Jiang, H. Jiang, Y. Yang, Y. Li, and H. Chen, Level pinning of anti-PT symmetric circuits for efficient wireless power transfer, Natl. Sci. Rev. 11(1), nwad172 (2023)
B. L. Cannon, J. F. Hoburg, D. D. Stancil, and S. C. Goldstein, Magnetic resonant coupling as a potential means for wireless power transfer to multiple small receivers, IEEE Trans. Power Electron. 24(7), 1819 (2009)
L. Zhang, Y. Yang, Z. Jiang, Q. Chen, Q. Yan, Z. Wu, B. Zhang, J. Huangfu, and H. Chen, Demonstration of topological wireless power transfer, Sci. Bull. (Beijing) 66(10), 974 (2021)
M. Sakhdari, M. Hajizadegan, and P. Y. Chen, Robust extended-range wireless power transfer using a higherorder PT-symmetric platform, Phys. Rev. Res. 2(1), 013152 (2020)
J. Zhou, B. Zhang, W. Xiao, D. Qiu, and Y. Chen, Nonlinear parity–time-symmetric model for constant efficiency wireless power transfer: Application to a drone-in-flight wireless charging platform, IEEE Trans. Ind. Electron. 66(5), 4097 (2019)
H. Kim, S. Yoo, H. Joo, J. Lee, D. An, S. Nam, H. Han, D. H. Kim, and S. Kim, Wide-range robust wireless power transfer using heterogeneously coupled and flippable neutrals in parity–time symmetry, Sci. Adv. 8(24), eabo4610 (2022)
Z. Guo, Y. Long, H. Jiang, J. Ren, and H. Chen, Anomalous unidirectional excitation of high-k hyperbolic modes using all-electric metasources, Adv. Photonics 3(3), 036001 (2021)
A. P. Sample, D. A. Meyer, and J. R. Smith, Analysis, experimental results, and range adaptation of magnetically coupled resonators for wireless power transfer, IEEE Trans. Ind. Electron. 58(2), 544 (2011)
C. Zeng, Z. Guo, K. Zhu, C. Fan, G. Li, J. Jiang, Y. Li, H. Jiang, Y. Yang, Y. Sun, and H. Chen, Efficient and stable wireless power transfer based on the non-Hermitian physics, Chin. Phys. B 31(1), 010307 (2022)
N. Tesla, Apparatus for transmitting electrical energy, U. S. Patent 1, 119,732 (1914)
T. Huang, B. Wang, W. Zhang, and C. Zhao, Ultracompact energy transfer in anapole-based metachains, Nano Lett. 21(14), 6102 (2021)
B. X. Wang and C. Y. Zhao, Topological phonon polariton enhanced radiative heat transfer in bichromatic nanoparticle arrays mimicking Aubry–André–Harper model, Phys. Rev. B 107(12), 125409 (2023)
Y. Wu, L. Kang, and D. H. Werner, Symmetry in non-Hermitian wireless power transfer systems, Phys. Rev. Lett. 129(20), 200201 (2022)
X. Hao, K. Yin, J. Zou, R. Wang, Y. Huang, X. Ma, and T. Dong, Frequency-stable robust wireless power transfer based on high-order pseudo-Hermitian physics, Phys. Rev. Lett. 130(7), 077202 (2023)
A. Li, H. Wei, M. Cotrufo, W. Chen, S. Mann, X. Ni, B. Xu, J. Chen, J. Wang, S. Fan, C. W. Qiu, A. Alù, and L. Chen, Exceptional points and non-Hermitian photonics at the nanoscale, Nat. Nanotechnol. 18(7), 706 (2023)
C. Liang, Y. Tang, A. N. Xu, and Y. C. Liu, Observation of exceptional points in thermal atomic ensembles, Phys. Rev. Lett. 130(26), 263601 (2023)
Y. Li, Y. Ao, X. Hu, C. Lu, C. T. Chan, and Q. Gong, Unsupervised learning of non-Hermitian photonic bulk topology, Laser Photonics Rev. 17(12), 2300481 (2023)
S. Ke, W. Wen, D. Zhao, and Y. Wang, Floquet engineering of the non-Hermitian skin effect in photonic waveguide arrays, Phys. Rev. A 107(5), 053508 (2023)
S. M. Zhang and L. Jin, Localization in non-Hermitian asymmetric rhombic lattice, Phys. Rev. Res. 2(3), 033127 (2020)
R. El-Ganainy, K. G. Makris, M. Khajavikhan, Z. H. Musslimani, S. Rotter, and D. N. Christodoulides, Non-Hermitian physics and PT symmetry, Nat. Phys. 14(1), 11 (2018)
C. M. Bender, S. Boettcher, and P. N. Meisinger, PT-symmetric quantum mechanics, J. Math. Phys. 40(5), 2201 (1999)
C. M. Bender and S. Boettcher, Real spectra in non-Hermitian Hamiltonians having PT symmetry, Phys. Rev. Lett. 80(24), 5243 (1998)
J. Schindler, A. Li, M. C. Zheng, F. M. Ellis, and T. Kottos, Experimental study of active LRC circuits with PT symmetries, Phys. Rev. A 84(4), 040101 (2011)
S. Longhi, PT-symmetric laser absorber, Phys. Rev. A 82(3), 031801 (2010)
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)
Z. Gao, S. T. M. Fryslie, B. J. Thompson, P. S. Carney, and K. D. Choquette, Parity–time symmetry in coherently coupled vertical cavity laser arrays, Optica 4(3), 323 (2017)
J. M. Lee, S. Factor, Z. Lin, I. Vitebskiy, F. M. Ellis, and T. Kottos, Reconfigurable directional lasing modes in cavities with generalized PT symmetry, Phys. Rev. Lett. 112(25), 253902 (2014)
Y. Sun, W. Tan, H. Q. Li, J. Li, and H. Chen, Experimental demonstration of a coherent perfect absorber with PT phase transition, Phys. Rev. Lett. 112(14), 143903 (2014)
C. Wang, W. R. Sweeney, A. D. Stone, and L. Yang, Coherent perfect absorption at an exceptional point, Science 373(6560), 1261 (2021)
M. Hajizadegan, M. Sakhdari, S. Liao, and P. Y. Chen, High-sensitivity wireless displacement sensing enabled by PT-symmetric telemetry, IEEE Trans. Antenn. Propag. 67(5), 3445 (2019)
M. Sakhdari, M. Hajizadegan, Q. Zhong, D. N. Christodoulides, R. El-Ganainy, and P. Y. Chen, Experimental observation of PT symmetry breaking near divergent exceptional points, Phys. Rev. Lett. 123(19), 193901 (2019)
Z. Xiao, H. Li, T. Kottos, and A. Alu, Enhanced sensing and nondegraded thermal noise performance based on PT-symmetric electronic circuits with a sixth-order exceptional point, Phys. Rev. Lett. 123(21), 213901 (2019)
Z. Guo, T. Zhang, J. Song, H. Jiang, and H. Chen, Sensitivity of topological edge states in a non-Hermitian dimer chain, Photon. Res. 9(4), 574 (2021)
Y. Qu, B. Zhang, W. Gu, J. Li, and X. Shu, Distance extension of S-PS wireless power transfer system based on parity–time symmetry, IEEE Trans. Circuits Syst. II Express Briefs 70(8), 2954 (2023)
J. Kim, H.-C. Son, K.-H. Kim, and Y.-J. Park, Efficiency analysis of magnetic resonance wireless power transfer with intermediate resonant coil, IEEE Antennas Wirel. Propag. Lett. 10, 389 (2011)
C. Saha, I. Anya, C. Alexandru, and R. Jinks, Wireless power transfer using relay resonators, Appl. Phys. Lett. 112(26), 263902 (2018)
H. Chen, D. Qiu, C. Rong, and B. Zhang, A double-transmitting coil wireless power transfer system based on parity time symmetry principle, IEEE Trans. Power Electron. 38(11), 13396 (2023)
C. W. Hsu, B. Zhen, A. D. Stone, J. D. Joannopoulos, and M. Soljačić, Bound states in the continuum, Nat. Rev. Mater. 1(9), 16048 (2016)
J. Wang, L. Shi, and J. Zi, Spin Hall effect of light via momentum-space topological vortices around bound sates in the continuum, Phys. Rev. Lett. 129(23), 236101 (2022)
H. Zhang, S. Liu, Z. Guo, S. Hu, Y. Chen, Y. Li, Y. Li, and H. Chen, Topological bound state in the continuum induced unidirectional acoustic perfect absorption, Sci. China Phys. Mech. Astron. 66(8), 284311 (2023)
X. X. Wang, Z. Guo, J. Song, H. Jiang, H. Chen, and X. Hu, Unique Huygens–Fresnel electromagnetic transportation of chiral Dirac wavelet in topological photonic crystal, Nat. Commun. 14(1), 3040 (2023)
Q. Wang, C. Zhu, X. Zheng, H. Xue, B. Zhang, and Y. D. Chong, Continuum of bound states in a non-Hermitian model, Phys. Rev. Lett. 130(10), 103602 (2023)
S. Fan, W. Suh, and J. D. Joannopoulos, Temporal coupled-mode theory for the Fano resonance in optical resonators, J. Opt. Soc. Am. A 20(3), 569 (2003)
Z. Guo, H. Jiang, Y. Li, H. Chen, and G. S. Agarwal, Enhancement of electromagnetically induced transparency in metamaterials using long range coupling mediated by a hyperbolic material, Opt. Express 26(2), 627 (2018)
H. Zhang, K. Zhu, Z. Guo, Y. Chen, Y. Sun, J. Jiang, Y. Li, Z. Yu, and H. Chen, Robustness of wireless power transfer systems with parity–time symmetry and asymmetry, Energies 16(12), 4605 (2023)
Acknowledgements
This work was supported by the National Key R&D Program of China (Nos. 2021YFA1400602 and 2023YFA1407600), the National Natural Science Foundation of China (Nos. 12004284 and 12374294), the Fundamental Research Funds for the Central Universities (No. 22120210579), and the Chenguang Program of Shanghai (Eo. 21CGA22).
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Author contributions Z. G., Y. C., and H. C. conceived the idea and supervised the project. H. Z. carried out the analytical calculations with the help of Y. Y., H. Z. prepared the sample and conducted experimental measurements with the help of Y. L., H. Z., Z. G., Y.C., and H. C. wrote the manuscript. All authors contributed to discussions of the results and the manuscript.
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Zhang, H., Guo, Z., Li, Y. et al. A universal non-Hermitian platform for bound state in the continuum enhanced wireless power transfer. Front. Phys. 19, 43209 (2024). https://doi.org/10.1007/s11467-023-1388-x
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DOI: https://doi.org/10.1007/s11467-023-1388-x