Feng-Jun Li’s research while affiliated with Jinan University and other places

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Publications (8)


Overview of metasurface polarization optics. Metasurface provides a versatile platform for desired classical and quantum polarized source, manipulation, and detection devices, which are able to control the polarization of light in terms of either uniform polarized beam or structured spatially varying polarization profiles. Typical examples for polarized light source include circular polarization laser,⁵² polarization entangled photon-pair sources⁵⁷ with efficient and on-demand uniform polarized beam generation. Metasurface polarization manipulation devices include basic uniform polarization optical elements such as meta-waveplates⁵³ and vectorial holography elements⁵⁵ in classic regime and entanglement modulation⁶² and tomography devices⁵⁸ in quantum regime. In terms of metasurface polarization detection, single-shot full-Stokes parameters detector and imager⁶³ and multi-photon quantum entanglement state tomography³⁵ are widely explored.
(a) Schematic of polarization ellipse. (b) Schematic of Poincaré sphere and the representation of a polarization state P (2  ψ, 2  χ) that located on the sphere.
(a) Schematic of solid Poincaré ball. (b) Polarization ellipses for polarization states varies from (left) fully polarized (upper panel: linear, lower panel: circular) to (right) unpolarized.
Birefringent metasurface waveplates. (a) Left panel: a schematic of a reflective metasurface HWP consisting of Si nanopillars, a PMMA spacer, and an Ag film as a highly efficient reflector. Right panel: the cross- and co-polarization reflection spectra of the designed metasurface. Reproduced with permission from Yang et al., Nano Lett. 14(3), 1394–1399 (2014). Copyright 2014 American Chemical Society.⁶⁵ (b) Left panel: schematic of the all-dielectric metasurface HWP made of Si nanopolars. Right panel: experimental and theoretical transmission spectra of the designed metasurface. Reproduced with permission from APL Photonics 1(3), 030801 (2016). Copyright 2016 AIP Publishing LLC.⁶⁷ (c) Left panel: a scheme of the reflective background-free metasurface QWP that is composed of two Au V-shaped nano-antenna unit cell. Right panel: simulated phase difference and the ratio of amplitudes between the two reflective waves with broadband performance. Reproduced with permission from Yu et al., Nano Lett. 12(12), 6328–6333 (2012). Copyright 2012 American Chemical Society.⁷⁰ (d) Left panel: schematic of the bilayer dielectric metasurface for high efficient QWP design. Right panel: simulated phase difference between cross- and co-polarization transmission coefficients under x-polarization incident beam. Reprinted with permission from Zhou et al., Light: Sci. Appl. 8(1), 80 (2019). Copyright 2019 Author(s), licensed under a Creative Commons Attribution 4.0 License.⁷¹ (e) Left panel: schematic of angle-dependent birefringent metasurface waveplate for continuous polarization conversion consisting of optimized freeform meta-atoms. Right panel: experimental retardance with eigen-polarization state incidence. Reprinted with permission from Shi et al., Sci. Adv. 6(23), eaba3367 (2020). Copyright 2020 AAAS.⁵³ (f) Left panel: a scheme of multi-channel polarization conversion based on metagrating consisting of L-shaped scalable metallic meta-atoms. Right panel: experimental intensity ratio between target polarization and its orthogonal polarization in each diffraction order within designed wavelength region. Reprinted with permission from Gao et al., Phys. Rev. X 10(3), 031035 (2020). Copyright 2020 American Physical Society.⁷³
Dichroism metasurface polarizer. (a) Gold helix nanostructure for the circular polarizer. Reprinted with permission from Gansel et al., Science 325(5947), 1513–1515 (2009). Copyright 2009 AAAS.⁷⁴ (b) Circular dichroism in planar chiral nanostructure made of copper strips arises from different conversion efficiencies of circular polarization. Reprinted with permission from Zheludev et al., Phys. Rev. Lett. 97(16), 167401 (2006). Copyright 2006 American Physical Society.⁷⁷ (c) Large chiroptical effects in L-shaped gold nanostructures based on multimode interference. Reprinted with permission from Zhang et al., Phys. Rev. Appl. 7(5), 054003 (2017). Copyright 2017 American Physical Society.⁸⁵ (d) Strong chiral response induced by the spin-dependent destructive and constructive interference in dielectric birefringent metasurface. Reprinted with permission from Kenney et al., Adv. Mater. 28(43), 9567–9572 (2016). Copyright 2016 Author(s), licensed under a Creative Commons Attribution 4.0 License.⁸⁰ (e) Giant circular polarization dichroism induced by the spin-dependent destructive and constructive interference based on planar dielectric metasurface. Reprinted with permission from Zhang et al., Adv. Funct. Mater. 27(47), 1704295 (2017). Copyright 2017 Author(s), licensed under a Creative Commons Attribution 4.0 License.⁸¹ (f) Arbitrary polarization conversion dichroism metasurfaces for surface Poincaré sphere polarizers. Reprinted with permission from Wang et al., Light: Sci. Appl. 10(1), 24 (2021). Copyright 2021 Author(s), licensed under a Creative Commons Attribution 4.0 License.⁸² (g) Metasurface manipulating both DOP and SOP for full solid Poincaré sphere polarizer. Reprinted with permission from Wang et al., Phys. Rev. Lett. 130(12), 123801 (2023). Copyright 2023 American Physical Society.⁸⁴

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Metasurface polarization optics: From classical to quantum
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December 2024

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383 Reads

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4 Citations

Feng-Jun Li

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Rui Zhong

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Metasurface polarization optics, manipulating polarization using metasurfaces composed of subwavelength anisotropic nanostructure array, has enabled a lot of innovative integrated strategies for versatile and on-demand polarization generation, modulation, and detection. Compared with conventional bulky optical elements for polarization control, metasurface polarization optics provides a feasible platform in a subwavelength scale to build ultra-compact and multifunctional polarization devices, greatly shrinking the size of the whole polarized optical system and network. Here, we review the recent progresses of metasurface polarization optics in both classical and quantum regimes, including uniform and spatially varying polarization-manipulating devices. Basic polarization optical elements such as meta-waveplate, meta-polarizer, and resonant meta-devices with polarization singularities provide compact means to generate and modulate uniform polarization beams. Spatial-varying polarization manipulation by employing the pixelation feature of metasurfaces, leading to advanced diffraction and imaging functionalities, such as vectorial holography, classic and quantum polarization imaging, quantum polarization entanglement, quantum interference, and modulation. Substituting conventional polarization optics, metasurface approaches pave the way for on-chip classic or quantum information processing, flourishing advanced applications in displaying, communication, imaging, and computing.

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Advances on broadband and resonant chiral metasurfaces

June 2024

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452 Reads

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18 Citations

Chirality describes mirror symmetry breaking in geometric structures or certain physical quantities. The interaction between chiral structure and chiral light provides a rich collection of means for studying the chirality of substances. Recently, optical chiral metasurfaces have emerged as planar or quasi-planar photonic devices composed of subwavelength chiral unit cells, offering distinct appealing optical responses to circularly polarized light with opposite handedness. The chiroptical effects in optical metasurfaces can be manifested in the absorption, scattering, and even emission spectra under the circular polarization bases. A broadband chiroptical effect is highly desired for many passive chiral applications such as pure circular polarizers, chiral imaging, and chiral holography, in which cases the resonances should be avoided. On the other hand, resonant chiroptical responses are particularly needed in many situations requiring strong chiral field enhancement such as chiral sensing and chiral emission. This article reviews the latest research on both broadband and resonant chiral metasurfaces. First, we discuss the basic principle of different types of chiroptical effects including 3D/2D optical chirality and intrinsic/extrinsic optical chirality. Then we review typical means for broadband chiral metasurfaces, and related chiral photonic devices including broadband circular polarizers, chiral imaging and chiral holography. Then, we discuss the interaction between chiral light and matter enhanced by resonant chiral metasurfaces, especially for the chiral bound states in the continuum metasurfaces with ultra-high quality factors, which are particularly important for chiral molecule sensing, and chiral light sources. In the final section, the review concludes with an outlook on future directions in chiral photonics.




(a) Schematic diagram of zero-order quasi-Bessel beams generation with a glass axicon. The radius of incident Gaussian beam w0, refraction angle θ, and the axicon angle α are labeled. (b) Circular metagrating for zero-order quasi-Bessel beams steering. (c) Unit cell of a straight metagrating for perfect diffraction design. The p is 500 nm, w is 162 nm, and h is 267 nm. (d) Comparison of 4f confocal system and circular metagrating for the transformation of quasi-Bessel beams. The two yellow curves indicate the intensity profiles along the propagating direction for both methods.
(a) The −1st-order diffraction efficiency and the field distribution of a perfect diffraction metagrating in TM and TE polarization. (b) Intensity profile of TM and TE polarized quasi-Bessel beams steering with circular metagrating. (c), (d) 2D sweep by varying the incident wavelength and incident angle of a perfect diffraction metagrating in TM polarization and TE polarization, respectively.
(a)–(e) XoZ plane profile of the radially polarized quasi-Bessel beams transformation by circular metagrating with varying non-diffractive distances (or the converging angles θi) of incident quasi-Bessel beams at 530 nm. The circular metagrating locates at the white dash lines. The light needles are marked by green dash frames and (f)–(j) the real part of radial Er components at the center of converted quasi-Bessel beam. The propagation direction is from bottom to top. Scale bar = 500 nm.
Comparison of the square of the electric fields from theoretical calculation using (a)–(d) the FDTD method and (e)–(h) Equations (7a) and (7b). (a), (e) Total intensity, (b), (f) |Ex|², (c), (g) |Ey|², (d), (h) |Ez|² for the x-polarized quasi-Bessel beam in high-NA steering.
Perfect diffractive circular metagrating for Bessel beam transformation

March 2022

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232 Reads

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3 Citations

Bessel beams, with their non-diffractive property, have attracted great interest in recent years. Optical needle shaping of Bessel beams is highly desired in many applications, however, this typically requires low numerical aperture (NA) bulky 4f confocal systems incorporated with spatial light modulators or round filters. Here, we employ a circular dielectric metagrating for perfect Bessel beam transformation at a desired wavelength. The dielectric metagrating exhibits a high transmissive diffraction efficiency (up to 75%) for a broadband (460 nm to 560 nm), wide-angle range, and dual-polarization response, which is capable of a high-performance transformation of Bessel beams with arbitrary NAs. Our results show potential for special-beam-required applications such as light storage, imaging, and optical manipulation.


Figure 2. Band diagram and field patterns of eigenmodes in the anticrossing region, with same parameters as in Figure 1c. a) Band diagram of the real part of k 0 versus k x and its b) zoomed region near the crossing point. c) Radiative quality (Q) factor. d-f) Field patterns (H z ) of 1) lowest Q-factor radiative mode, 2) EP mode, and 3) BIC mode as indicated in (c).
Figure 3. Evolution of mode coupling by varying the slit layer thickness. a) Upper panel: eigen-frequencies, middle panel: Rabi splitting, and lower panel: radiative Q-factor evolution with slit layer thickness t. b) −1st diffraction efficiency spectra with varying parallel wavevector k x and total wavevector k 0 , for higher-order weak coupling cases with III) t = 0.698p, V) t = 1.194p, and strong coupling cases with slit layer thickness IV) t = 0.946p, VI) t = 1.442p, respectively. The other parameters are w = 0.05p, d = 0.1p fixed. c) Field patterns corresponding to the modes indicated in each band of (b).
Figure 4. Embedded wavefront shaping. a) Field patterns (H z ) demonstrating wavefront deflection of a Gaussian beam incident on a periodic metagrating (with parameters w = 0.05p, t = 0.425p, d = 0.1p) tuned at the quasi-BIC resonance (middle panel) and a little detuned from the quasi-BIC resonance (upper and lower panels), the operating frequencies are k 0 = 0.952, 1.006, 1.1 (in unit of 2í µí¼‹/p), the incident angles are 24.85°, 23.43°, and 21.32° (with fixed k x = 0.4), and the reflection angles are 24.85°, −36.61°, and 21.32°, respectively. The simulation domain is of size 51p×16p. b) Field patterns (|H z |) demonstrating wavefront focusing of a Gaussian beam incident on a modulated metagrating (with parameters w = 0.2p, t = 0.425p, d = 0.1p) with quadratic phase profile at the quasi-BIC resonance (middle panel). When the wavelengths are slightly shifted from the quasi-BIC frequency, a focusing phenomenon in the abnormal reflection direction is replaced by specular reflections (upper and lower panels). The operating frequencies are k 0 = 0.95, 1.07, 1.15, the incident angles are 24.90°, 21.95°, and 20.35° (with fixed k x = 0.4), respectively, and the reflection angles are 24.90°, −34.11°, 20.35°, respectively. The simulation domain has the size of 750p×375p.
Extreme Diffraction Control in Metagratings Leveraging Bound States in the Continuum and Exceptional Points

March 2022

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1,066 Reads

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49 Citations

Laser & Photonics Review

Coupled resonances in non‐Hermitian systems can lead to exotic optical features, such as bound states in the continuum (BICs) and exceptional points (EPs), which have been recently emerged as powerful tools to control the propagation and scattering of light. Yet, similar tools to control diffraction and engineer spatial wavefronts have remained elusive. Here, it is shown that, by operating a metagrating around BICs and EPs, it is possible to achieve an extreme degree of control over coupling to different diffraction orders. Subwavelength metallic slit arrays stacked on a metal‐insulator‐metal waveguide, enabling a careful control of the coupling between localized and guided modes are explored. By tuning the coupling strength from weak to strong, the overall spectral response can be tailored and the emergence of singular features, like BICs and EPs can be enabled. Perfect unitary diffraction efficiency with large spectrum selectivity is achieved around these singular features, with promising applications for selective wavefront shaping, filtering, and sensing. A structured metagrating tailored to support scattering singularities supports an extreme degree of control over wavefront manipulation and coupling to different diffraction orders. This platform offers promising applications for selective wavefront shaping, imaging, filtering, and sensing.


Multi-atomic metasurfaces for vectorial holography.
(A) Diatomic metasurfaces for vectorial holography with spatially varying polarizations based on combined geometric phase and detour phase modulations [64]. (B) Tetratomic metasurfaces for switchable vectorial holography under the incidence of RCP and LCP [95]. (C) Pixelated multi-atomic metasurfaces for the full-polarization-reconstructed multi-directional meta-hologram [97]. (D) Angular nondispersive design with pixelated multi-atomic metasurface doublet [98].
Vectorial holography with continuously modulated polarization distribution.
(A) Left: LCP and RCP beams reflected from the metasurface form two identical holographic images but with a spatially continuous phase difference. The unit cell of metasurface. Right: vectorial holographic image with spatial continuous linear polarization distribution [99]. (B) The dynamic display of vectorial meta-holography with 4-fold degeneracy by selecting the desired linear polarization combination continuously [100]. (C) A neural network approach used for constructing a continuous 3D vectorial field in the image space from the 2D vector field distribution in the hologram plane [101]. (D) A metasurface vectorial hologram projecting the full polarization parameters encoding an RGB image [65]. (E) Vectorial Fourier metasurface of arbitrary far-field light distribution of intensity and continuous polarization distribution [66]. (F) The Jones matrix holograms whose far-fields have designer-specified waveplate or polarizer responses [67].
Full-colored metasurface vectorial holography.
(A) A multitasked metasurface with noninterleaved single-size Si nanobrick arrays and minimalist spatial freedom demonstrating massive information on simultaneously color and polarization encoded holograms [113]. (B) A noninterleaved metasurface used to realize colorful vectorial holography with trichromatic colors and tripolarization channels [114]. (C) A full-color complex-amplitude hologram that simultaneously controls the amplitude, phase, and polarization, and multiplexes the wavelength [68]. (D) Left: the full-color full-polarization holographic images upon the illumination of linearly polarized laser beams with red, green, and blue (RGB) colors, generated by vectorial and k-space engineering. Right: the tetratomic metasurface and a tetratomic macro pixel [69].
The combination of near-field image encoding and far-field vectorial holography.
(A) The multichannel metadevice that combines holographic images and a grayscale image nanoprint for anticounterfeiting and encryption [134]. (B) A four-channel TiO2 metasurface device that generates grayscale nanoprinting-hologram images under the illumination of RCP and LCP, respectively, in the near field and far field [135]. (C) A bi-functional metasurface that combines structural color printing and vectorial holography [136]. (D) A silicon metasurface realizes two independent full-color printed images and vectorial holograms [137].
Multi-freedom metasurface empowered vectorial holography

January 2022

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488 Reads

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27 Citations

Optical holography capable of the complete recording and reconstruction of light’s wavefront, plays significant roles on interferometry, microscopy, imaging, data storage, and three-dimensional displaying. Conventional holography treats light as scalar field with only phase and intensity dimensions, leaving the polarization information entirely neglected. Benefiting from the multiple degrees of freedom (DOFs) for optical field manipulation provided by the metasurface, vectorial holography with further versatile control in both polarization states and spatial distributions, greatly extended the scope of holography. As full vectorial nature of light field has been considered, the information carried out by light has dramatically increased, promising for novel photonic applications with high performance and multifarious functionalities. This review will focus on recent advances on vectorial holography empowered by multiple DOFs metasurfaces. Interleaved multi-atom approach is first introduced to construct vectorial holograms with spatially discrete polarization distributions, followed by the versatile vectorial holograms with continuous polarizations that are designed usually by modified iterative algorithms. We next discuss advances with further spectral response, leading to vivid full-color vectorial holography; and the combination between the far-field vectorial wavefront shaping enabled by vectorial holography and the near-field nano-printing functionalities by further exploiting local polarization and structure color responses of the meta-atom. The development of vectorial holography provides new avenues for compact multi-functional photonic devices, potentially useful in optical encryption, anticounterfeiting, and data storage applications.


Perfect diffraction metagratings supporting bound states in the continuum and exceptional points

September 2021

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462 Reads

Resonance coupling in non-Hermitian systems can lead to exotic features, such as bound states in the continuum (BICs) and exceptional points (EPs), which have been widely employed to control the propagation and scattering of light. Yet, similar tools to control diffraction and engineering spatial wavefronts have remained elusive. Here, we show that, by operating a suitably tailored metagrating around a BIC and EPs, it is possible to achieve an extreme degree of control over coupling to different diffraction orders in metasurfaces. We stack subwavelength metallic slit arrays on a metal-insulator-metal waveguide, enabling a careful control of the coupling between localized and guided modes. By periodically tuning the coupling strength from weak to strong, we largely tailor the overall spectrum and enable the emergence of singular features, like BICs and EPs. Perfect unitary diffraction efficiency with large spectrum selectivity is achieved around these singular features, with promising applications for arbitrary wavefront shaping combined with filtering and sensing.

Citations (6)


... Utilizing this unique functionality, a miniaturized and simplified two-photon polymerization (TPP) system was developed and demonstrated efficient multi-focus parallel processing [13] . Wavelength and polarization information can be independently encoded into each focal point, enabling the development of compact spectrometer [14] and polarization-resolved device [15] . More importantly, metalensbased optical trapping arrays have emerged as a powerful platform for the preparation and manipulation of ultracold atoms [16,17] , enabling multifunctional control in complex quantum information experiments. ...

Reference:

Scalable manufacturing of polarization-insensitive metalenses with high-uniform focal arrays in the visible
Metasurface polarization optics: From classical to quantum

... and low absorption loss exhibited by high-resistance (resistivity > 10 4 Ω·cm) silicon wafers in the THz band [38][39][40], polarization-dependent rectangular silicon pillars are preferred to assemble the desired metasurfaces. Typically, the Jones matrix of anisotropic meta-atoms in the Cartesian coordinate system can be described as [41][42][43][44][45][46], ...

Inverse-designed Jones matrix metasurfaces for high-performance meta-polarizers
  • Citing Article
  • January 2024

Chinese Optics Letters

... However, the chiroptical response in most natural materials is typically weak. In recent years, researchers have developed chiral metasurfaces with precisely engineered structures to enhance CD and advance the capabilities of chiral sensing [5,6,7,8]. Nonetheless, maintaining a robust chiroptical response without any shift in the resonant wavelength across various incident angles continues to be a significant challenge. ...

Advances on broadband and resonant chiral metasurfaces

... Besides their fundamental interest, such "EP-BICs" would not suffer from any radiation losses and may inherit the sensitivity of EPs, which could make them ideal candidates for the realization of EP sensors at the nanoscale. Surprisingly, this problem has not been addressed, despite several reports of systems displaying BICs and EPs in the same parameter space [27,[42][43][44][45][46]. ...

Extreme Diffraction Control in Metagratings Leveraging Bound States in the Continuum and Exceptional Points

Laser & Photonics Review

... Bessel beams, with long focal lengths and small focus diameters, are often used to handle structures with an aspect ratio of height to depth [21]. As a light with a needle-like distribution [22], Bessel beams are capable of cutting gold film at extremely fine widths and machining microholes in metal surfaces with a high depth to diameter ratio [23,24]. However, achieving widespread application of this method is impeded by the inherent challenges in attaining axial uniformity for experimentally obtained Bessel beams. ...

Perfect diffractive circular metagrating for Bessel beam transformation

... Compared to traditional optical devices, metasurfaces offer superior characteristics, including reduced weight, enhanced efficiency, minimized size, and decreased energy consumption. To date, metasurfaces have been applied in diverse applications such as beam shaping [21,22], achromatic imaging [23][24][25], light-field sensing [26][27][28], holography [29][30][31], structural color printing [32][33][34], nonlinear effects [35][36][37], optical computing [38,39], and quantum technologies [40,41]. Researchers have also explored the application of metasurfaces for the generation of autofocusing Airy beams. ...

Multi-freedom metasurface empowered vectorial holography