Citation: | Yuan JZ, Hu J, Zheng Y et al. Enhanced amplified spontaneous emission via splitted strong coupling mode in large-area plasmonic cone lattices. Opto-Electron Sci 4, 240021 (2025). doi: 10.29026/oes.2025.240021 |
[1] | Kawata S, Inouye Y, Verma P. Plasmonics for near-field nano-imaging and superlensing. Nat Photonics 11, 388–394 (2009). |
[2] | Barnes WL. Surface plasmon-polariton length scales: a route to sub-wavelength optics. J Opt A Pure Appl Opt 8, S87–S93 (2006). doi: 10.1088/1464-4258/8/4/S06 |
[3] | Kabashin AV, Evans P, Pastkovsky S et al. Plasmonic nanorod metamaterials for biosensing. Nat Mater 8, 867–871 (2009). doi: 10.1038/nmat2546 |
[4] | Kravets VG, Schedin F, Jalil R et al. Singular phase nano-optics in plasmonic metamaterials for label-free single-molecule detection. Nat Mater 12, 304–309 (2013). |
[5] | Lim TL, Vaddi Y, Bin-Alam MS et al. Fourier-engineered plasmonic lattice resonances. ACS Nano 16, 5696–5703 (2024). |
[6] | Sreekanth KV, Alapan Y, ElKabbash M et al. Extreme sensitivity biosensing platform based on hyperbolic metamaterials. Nat Mater 15, 621–627 (2016). doi: 10.1038/nmat4609 |
[7] | Kravets VG, Kabashin AV, Barnes WL et al. Plasmonic surface lattice resonances: a review of properties and applications. Chem Rev 118, 5912–5951 (2018). doi: 10.1021/acs.chemrev.8b00243 |
[8] | In C, Kim UJ, Choi H. Two-dimensional dirac plasmon-polaritons in graphene, 3D topological insulator and hybrid systems. Light Sci Appl 11, 313 (2022). |
[9] | Gordon R, Brolo AG, Sinton D et al. Resonant optical transmission through hole-arrays in metal films: physics and applications. Laser Photonics Rev 4, 311–335 (2010). doi: 10.1002/lpor.200810079 |
[10] | Yang AK, Li ZY, Knudson MP et al. Unidirectional lasing from template-stripped two-dimensional plasmonic crystals. ACS Nano 9, 11582–11588 (2015). doi: 10.1021/acsnano.5b05419 |
[11] | Wu DD, Wang Y, Liu YJ et al. Bloch-surface plasmon polariton enhanced amplified and directional spontaneous emission from plasmonic hexagonal nanohole array. ACS Appl Mater Interfaces 15, 16198–16203 (2023). doi: 10.1021/acsami.2c22139 |
[12] | Azzam SI, Kildishev AV, Ma RM et al. Ten years of spasers and plasmonic nanolasers. Light Sci Appl 9, 90 (2020). |
[13] | Yang F, Chen QY, Wang JJ et al. Fabrication of centimeter-scale plasmonic nanoparticle arrays with ultranarrow surface lattice resonances. ACS Nano 17, 725–734 (2022). |
[14] | Zuo ZW, Sun LY, Guo YB et al. Multiple plasmon couplings in 3D hybrid Au-nanoparticles-decorated Ag nanocone arrays boosting highly sensitive surface enhanced Raman scattering. Nano Res 15, 317–325 (2022). |
[15] | Tan MJH, Park JE, Freire-Fernández F et al. Lasing action from quasi-propagating modes. Adv Mater 34, 2203999 (2022). doi: 10.1002/adma.202203999 |
[16] | Guan J, Hu JT, Wang Y et al. Far-field coupling between moiré photonic lattices. Nat Nanotechnol 18, 514–520 (2023). |
[17] | Yuan XY, Xu Q, Lang YH et al. Tailoring spatiotemporal dynamics of plasmonic vortices. Opto-Electron Adv 6, 220133 (2023). doi: 10.29026/oea.2023.220133 |
[18] | Nan T, Zhao H, Guo JY et al. Generation of structured light beams with polarization variation along arbitrary spatial trajectories using tri-layer metasurfaces. Opto-Electron Sci 3, 230052 (2024). doi: 10.29026/oes.2024.230052 |
[19] | Jing JY, Liu K, Jiang JF et al. Highly sensitive and stable probe refractometer based on configurable plasmonic resonance with nano-modified fiber core. Opto-Electron Adv 6, 220072 (2023). doi: 10.29026/oea.2023.220072 |
[20] | Liu YH, Qiao SD, Fang C et al. A highly sensitive LITES sensor based on a multi-pass cell with dense spot pattern and a novel quartz tuning fork with low frequency. Opto-Electron Adv 7, 230230 (2024). |
[21] | Che KJ, Chu CX, Guo CL et al. Polarization dependent mode dynamics of metallic hybrid laser micro-resonator. Opt Commun 338, 128–132 (2015). doi: 10.1016/j.optcom.2014.10.043 |
[22] | Törmä P, Barnes WL. Strong coupling between surface plasmon polaritons and emitters: a review. Rep Prog Phys 78, 013901 (2015). doi: 10.1088/0034-4885/78/1/013901 |
[23] | Vasa P, Lienau C. Strong light-matter interaction in quantum emitter/metal hybrid nanostructures. ACS Photonics 5, 2–23 (2018). |
[24] | Chan WP, Chen JH, Chou WL et al. Efficient DNA-driven nanocavities for approaching quasi-deterministic strong coupling to a few fluorophores. ACS Nano 15, 13085–13093 (2021). |
[25] | Rabi II. On the process of space quantization. Phys Rev 49, 324–328 (1936). doi: 10.1103/PhysRev.49.324 |
[26] | Chen ZG, Segev M. Highlighting photonics: looking into the next decade. eLight 1, 2 (2021). |
[27] | Wang CY, Sang YG, Yang XY et al. Engineering giant Rabi splitting via strong coupling between localized and propagating Plasmon modes on metal surface lattices: observation of √N scaling rule. Nano Lett 21, 605–611 (2021). doi: 10.1021/acs.nanolett.0c04099 |
[28] | Lee W, Park SJ. Porous anodic aluminum oxide: anodization and templated synthesis of functional nanostructures. Chem Rev 114, 7487–7556 (2014). doi: 10.1021/cr500002z |
[29] | Nelson JC, Oriani RA. Stress generation during anodic oxidation of titanium and aluminum. Corros Sci 34, 307–326 (1993). doi: 10.1016/0010-938X(93)90009-6 |
[30] | Vrublevsky I, Parkoun V, Schreckenbach J et al. Study of porous oxide film growth on aluminum in oxalic acid using a re-anodizing technique. Appl Surf Sci 227, 282–292 (2004). |
[31] | Arurault L. Pilling-Bedworth ratio of thick anodic aluminium porous films prepared at high voltages in H2SO4 based electrolyte. Trans IMF 86, 51–54 (2008). doi: 10.1179/174591908X264365 |
[32] | Zhou FY, Al-Zenati AKM, Baron-Wiecheć A et al. Volume expansion factor and growth efficiency of anodic alumina formed in sulphuric acid. J Electrochem Soc 158, C202–C214 (2011). doi: 10.1149/1.3578028 |
[33] | Jessensky O, Müller F, Gösele U. Self-organized formation of hexagonal pore arrays in anodic alumina. Appl Phys Lett 72, 1173–1175 (1998). doi: 10.1063/1.121004 |
[34] | Purcell EM. Spontaneous emission probabilities at radio frequencies. Phys Rev 69, 681 (1946). |
Supplementary information for Enhanced amplified spontaneous emission via splitted strong coupling mode in large-area plasmonic cone lattices |
![]() |
The preparation and adjustment processes of the square lattice of PCLs. (a) Schematic of the preparation process of voltage-controlled porous AAO membrane and Al foil in cross-sectional view, along with a photograph of PCLs where the blue region represents the effective sample area with a periodicity of 400 nm. The black box depicts the schematic of AAO (gray) and Al foil (green) at three different anodic oxidation voltages in cross-sectional view. H3PO4 is utilized to supply anions for the anodic oxidation. (b–d) SEM images show the AAO membrane (gray) and Al foil (green) at various oxidation voltages in cross-sectional view, with the morphology of the Al foil highlighted in green. (e–g) SEM images of PCLs after the removal of AAO in a perspective view, where the cones' morphology is indicated in green.
Optical characterization of PCLs. (a) Schematic of plasmonic modes in PCLs system, where Bloch-SPPs exist in PCLs with a negative aspect ratio (top), and both LSPs and Bloch-SPPs simultaneously exist in PCLs with a positive aspect ratio (bottom). (b) Schematic of DOs and the first Brillouin zone (yellow shaded area) of a square lattice in reciprocal space. The reciprocal lattice vectors are defined as G (green arrows), the in-plane incident light wave vectors are defined as k// (red arrows) and the wave vectors of DOs are defined as kDO (blue arrows). (c) The reflection dispersion of PCLs in an environment with a refraction index (RI) = 1.48 under TE polarization. Insets are feature images of Al cone in pseudo-color with heights of −200 nm, 83 nm, 116 nm and 135 nm, respectively. The DOs modes are marked by white dotted curves. (d) A magnified dispersion of the strong coupling of PCLs with a height of 135 nm is plotted at the top, where the dashed curves are the fitted curves of splitting energy branches and full width at half maxima (FWHM) of UP and lower polariton (LP) are shown in magnified dispersion. The anti-crossing occurs at the incident angle of 11°. The reflection spectra are listed at the bottom with incident angles ranging from 3° to 30°, and the photoluminescence (PL) spectroscopy spectrum of Nile Red is drawn in pink.
Theoretical calculation and temporal dynamics of Rabi oscillation in PCLs. (a) The schematic illustrates strong coupling between LSPs and Bloch-SPPs in PCLs, where the population of eigenmodes is represented by color density. (b) The Hopfield coefficient for the Bloch-SPPs and LSPs in the UP and LP branches is plotted as a function of the wave vector k, quantifying the percentage of eigenmodes. (c) Normalized calculated emission spectra of the strong coupling system at zero detuning (Δ = 0) are presented. (d) Eigenfrequency calculations of UP and LP modes. Upper left: theoretical results for E-k dispersion. Upper right: experimental results for E-k dispersion are provided. (e) Time evolution of the average photon number for Bloch-SPPs mode and LSPs mode in the UP and LP modes is depicted. (f) The electric field distribution of PCLs in the strong coupling regime is shown.
ASE measurement of the plasmonic PCLs in a strong coupling condition. (a) The schematic depicts an PCLs covered by Nile Red, as captured by an optical confocal microscope, along with the measurement diagram for the incident angle θin, emission angle θem, and azimuth angle φ. Here the measurement conditions are φ = 0°, θem = 10° for the 116 nm height and θem = 11° for the 135 nm height. (b) The emission (in black) and FWHM (in red) of the PCLs for heights of 116 nm (dots) and 135 nm (triangles) are shown as a function of pump power. The emission intensity is presented on the y-axis using logarithmic coordinates. The samples with heights of 116 nm and 135 nm are represented by circles and triangles, respectively. The emission amplification and normalized emission dispersion of the PCLs with a height of 116 nm (c) and 135 nm (d) covered by the Nile Red molecule, along with the reflection dispersion of PCLs, are presented.