Optical metasurfaces, which consist of subwavelength scale meta-atoms, represent a novel platform to manipulate the polarization and phase of light. The optical performance of metasurfaces heavily relies on the quality of nanofabrication. Retrieving the Jones matrix of an imperfect metasurface optical element is highly desirable. We show that this can be realized by decomposing the generalized Jones matrix of a meta-atom into two parallel ones, which correspond to the ideal matrix and a phase retardation. To experimentally verify this concept, we designed and fabricated metasurface polarizers, which consist of geometric phase-controlled dielectric meta-atoms. By scanning the polarization states of the incident and transmitted light, we are able to extract the coefficients of the two parallel matrices of a metasurface polarizer. Based on the results of the Jones matrix decomposition, we also demonstrated polarization image encryption and spin-selective optical holography. The proposed Jones matrix retrieval protocol may have important applications in computational imaging, optical computing, optical communications, and so on. |
1.IntroductionAs one of the most important intrinsic properties of light, polarization builds the link between orthogonal electric vectors involving amplitude and phase. Polarized light has attracted tremendous attention in the optical community,1 as evidenced by the rapid developments in advanced light source,2–4 display,5–7 and sensing.8–10 Traditional polarizers are usually bulky and have many limitations for optical integration. The emergence of metasurfaces, which consist of subwavelength scale meta-atoms, provides a new route to address this issue. In the past years, various metasurfaces have been widely explored to manipulate the phase11–16 and polarization of light.17–22 The metasurface optical element, which has the ability to manipulate the electric field in different directions, can be described mathematically using the Jones matrix.23,24 By engineering the materials and geometrical parameters of a meta-atom or meta-molecule, it is possible to construct the corresponding Jones matrix.25,26 It has been demonstrated that by assembling appropriate meta-atoms into a unit, one can achieve an arbitrary polarization state (PS).27–31 Despite the rapid development of nanofabrication technology, the imperfection of metasurface polarizers hinders their practical applications. To partially circumvent this constraint, we propose to experimentally retrieve the Jones matrix of an imperfect metasurface polarizer. This approach allows us to accurately determine each component of the metasurface polarizers’ Jones matrix at specific wavelengths. As a proof of concept, we utilized the retrieved Jones matrix to experimentally verify the outgoing PS. Moreover, by arranging the dielectric meta-atoms in a judicious manner, we demonstrated the polarization image encryption and chiroptical holography using the metasurface polarizers. The proposed methodology in this work may greatly release the strict manufacturing requirements of the metasurface optical elements and thus benefits a wide variety of applications of polarization optics. 2.Method and Results2.1.Jones Matrix DecompositionIn conventional optics, in order to generate the arbitrary PS of light, some specific assembly of a linear polarizer and various wave plates are usually used in the light path. Recent studies show that a single metasurface which consists of subwavelength scale meta-atoms can be utilized to mimic the multiple optical elements in traditional optics.25,27 As shown in Fig. 1, the combination of two birefringent dielectric meta-atoms can be used to design the metasurface polarizers.27 The Jones matrix of the metasurface polarizer can be decomposed to the superposition of that of the two birefringent meta-atoms, which is shown as where and are the ellipticity angle and the main axes angle of the PS of light, respectively. As shown in Figs. 1(a) and 1(b), the phase retardations of the fast and slow axes of the first meta-atom are and , respectively. The second meta-atom acts as a half-wave plate with phase retardations of 0 and . The rotation angle of the first and second meta-atoms are and , respectively [Fig. 1(c)]. Therefore, by controlling the birefringence of the two meta-atoms, one can convert the incident light with arbitrary PS to any position on the Poincaré sphere [Fig. 1(d)]. However, once the phase retardations of a meta-atom deviate from the ideal values, the performance of the entire metasurface polarizer will deteriorate, as shown in Figs. 1(e) and 1(f). Among various factors, the imperfect etching depth and angle of the meta-atoms are the two common issues that will affect the performance of the metasurface polarizers. For the birefringent dielectric meta-atoms, which are designed to introduce proper phase retardation between two orthogonal electric field components, the planar geometrical parameters determine the introduced phase difference and the height affects the accumulated phase retardation. The etching angle and depth determine both the planar geometry and height of the meta-atoms, therefore, influence their optical functionalities and conversion efficiency. In this work, we assume that the etching process will not break the symmetry of the dielectric meta-atoms. These kinds of imperfections can be regarded as planar plates and usually exert little effects on the polarization of the incident light. The corresponding Jones matrix can be rewritten as where the and are the coefficients of the target Jones matrix and imperfection part, respectively. When equals zero, the metasurface will become a perfect polarizer. Both the amplitude and phase of the two coefficients are associated with the wavelength of incident light and the imperfections of the meta-atoms.First, we designed and fabricated the linear metasurface polarizer which consists of silicon nitride () meta-atoms sitting on a fused silica substrate. Through the Lumerical FDTD simulations at the wavelength of 660 nm, we built the phase retardation library of the birefringent meta-atoms with a height of 1400 nm [Fig. 2(a)]. The meta-atoms with length and width varying from 100 to 380 nm are placed in the square lattices with periods of 400 and 450 nm in Figs. 2(b) and 2(c), respectively. According to the phase retardation library, we selected two types of meta-atoms to compose the meta-molecule. First, the first meta-atom as a half-wave plate was selected, corresponding to the latter part in Eq. (1), whose phase retardations of the fast and slow axes are and , where is an arbitrary real number. Then the second meta-atom corresponding to the former part in Eq. (1) was selected, in which phase retardations of the fast and slow axes are and , where is determined by the target function of this polarizer. Based on the concept described in Fig. 1(c), different combinations of the meta-atoms were utilized to design three typical polarizers, including horizontal linear polarizer (LP-Pol-H, , , , , and ), left circular polarizer (LCP-Pol, , , , , and ), and right circular polarizer (RCP-Pol, , , , , and ). To verify the performance of the metasurface polarizers, the polarization-dependent transmission spectra of the three metasurface polarizers were numerically calculated in the wavelength range from 500 to 1000 nm in Figs. 2(d)–2(f). For the linear metasurface polarizer with an optical axis along a horizontal () direction, it has a high polarization extinction ratio in the wavelength range between 650 and 700 nm. From the calculated results, we can see that the bandwidths of these three kinds of polarizers are quite narrow, which will definitely limit the practical applications. To partially circumvent this issue, we experimentally retrieve the target Jones matrices from the imperfect metasurface polarizers. As shown in Fig. S1(a) (Sec. 1 in the Supplementary Material), we carried out the following optical measurements. The output from a supercontinuum laser is normally incident on the metasurface polarizers from the substrate side. The polarization ellipse of the transmitted light can be sketched by rotating the linearly polarized analyzer and recording the transmitted power (Fig. 3 and Sec. 1 in the Supplementary Material). To retrieve the four complex terms in the Jones matrix of a linear metasurface polarizer, six kinds of PSs of the incident light were used, including linear polarizations along , , 45 deg, 135 deg directions, left- and right-circular polarizations (LCP and RCP). By fitting the six measured ellipses (dot orange lines), the Jones matrix of an imperfect linear polarizers can be determined at each wavelength (Secs. 2 and 3 in the Supplementary Material). Using the measured Jones matrix of the metasurface polarizer (LP-Pol-H) and the six kinds of input PSs, we can calculate the corresponding polarization ellipses and their rotating directions (solid blue lines). In addition, it is shown that the above methodology can be applied to different wavelengths of the incident light. For example, at the wavelengths of 690 and 760 nm, where the Jones matrices are close to or deviate from the ideal ones, we find that the calculated polarization ellipses agree well with the experiment ones. By scanning the wavelengths of the incident light from 640 to 840 nm, we can experimentally extract the coefficients and of the target Jones matrix and imperfection part, respectively. The wavelength-dependent ratio of is shown in Sec. 4 in the Supplementary Material, from which we can evaluate the level of imperfection of the metasurface polarizers. As shown in Sec. 5 in the Supplementary Material, the optical properties of the circular metasurface polarizers (LCP-Pol and RCP-Pol) were characterized using the same methods as that in Fig. 3. Both the left- and right-circular metasurface polarizers exhibit good polarization effect between 600 and 700 nm. Notably, the circular metasurface polarizers act as both a half-wave plate and a polarization filter, which is distinguished from their conventional counterparts. 2.2.Polarization Image Encryption with Linear Metasurface PolarizersWe show that the linear metasurface polarizers can be used for polarization image encryption by delicately arranging the rotation angles of the meta-atoms in real space. The center of the rotation of each polarizer is the center of the unit cell with an area size of . Each unit contains two meta-atoms, this is to ensure that there are no additional coupling effects due to the rotations [Fig. 4(a)]. Next, we demonstrate the polarization information can be embedded into the “META” image capability by choosing the rotation angle [Fig. 4(b)]. The top-view and side-view scanning electron microscopy (SEM) images of the four characters are shown in Figs. 4(c) and 4(d). The geometrical parameters of the meta-atoms are the same as that in the LP-Pol-H metasurface polarizer. Then the polarization performance of the metasurfaces was characterized with the experimental setup depicted in Fig. 1(b) (see Sec. 4.1 and Fig. S1 in the Supplementary Material for more details). The combination of a linear polarizer LP1 and a quarter-wave plate was utilized to control the PS of the incident light, whereas the function of the second linear polarizer LP2 is to measure the polarization ellipse of the transmitted light. Then we tested the polarization image encryption performance of the linear metasurface polarizers at working wavelengths of 690 and 760 nm, respectively. In the experiment, a circularly polarized Gaussian beam from the supercontinuum laser is normally incident onto the META image, and the normalized intensity of each letter was measured after passing through a linear analyzer with a fast axis along the horizontal direction. For the incident light at the wavelength of 690 nm [Fig. 4(e)], the contrast between the two perpendicular polarizer regions (letters: and ) is distinct, indicating the high-polarization extinction ratio of the linear metasurface polarizers. As the fast axis of the designed linear metasurface polarizers in and has the projection angle of with respect to the horizontal axis, the intensity of these two letters is basically the same as each other according to the Malus’s Law. When the wavelength of incident light is switched to 760 nm, the intensities of the four letters deviate from the theoretical values due to the existence of the residual light [Fig. 4(g)]. In Figs. 4(f) and 4(h), we show that the intensity distribution of the META image can be calculated through the measured Jones matrix of the linear metasurface polarizer (see Sec. 6 in the Supplementary Material). The calculated intensity distributions agree well with the ones captured by the CCD camera. Furthermore, by extracting the complex coefficients and from Eq. (2), the intensity ratio of the target polarization components and the residual one is obtained. The coefficients of the metasurface polarizer’s Jones matrices here act as the keys to revealing the useful information in the transmitted light. 2.3.Optical Holography with Circular Metasurface PolarizersBased on the concept of geometric phase, we also demonstrated the spin-selective optical holography32–35 by engineering the meta-atoms’ rotation angles, as shown in Figs. 5(a) and 5(b). For an ideal circular metasurface polarizer, when the meta-atom is rotated by an angle of , the transmitted light will carry a geometric phase of , where correspond to the left- and right-circular PSs of the incident light. The mechanisms can be explained by applying the Jones matrices of the left- and right-circular metasurface polarizers on the Jones vectors of the incident light with arbitrary PS, which are shown as where and are the electric fields of the incident light, and and represent the left- and right-circular PSs of the transmitted light, respectively. It is worth noting that in order to reduce the coupling effects of the adjacent meta-atoms, the period of the unit cell is set to be along both the and directions. Meanwhile, the geometrical parameters of the meta-atoms remain the same as those of the uniform metasurfaces in Fig. 2.We designed and fabricated two kinds of phase-type metasurface holograms, based on the RCP-Pol [Figs. 5(c)–5(j)] and LCP-Pol [Figs. 5(k)–5(r)]. The phase maps [Figs. 5(d) and 5(l)] of the holographic images (“” for the RCP-Pol, “” for the LCP-Pol) were calculated using the commercial software VirtualLab Fusion. As shown in Figs. 5(e) and 5(m), the holographic images were reconstructed for a Gaussian beam (waist radius: and ), which matches the experimental conditions. The SEM images of the circular metasurface polarizers are in Figs. 5(f) and 5(n). In the holography experiment [Fig. S2(c) in the Supplementary Material], the incident light from a supercontinuum laser is normally incident on the metasurfaces (see Sec. 4.1 for more details). By changing the circular PSs of the incident light, the spin-selective holographic images of the RCP-Pol and LCP-Pol devices are shown in Figs. 5(g)–5(j) and Figs. 5(o)–5(r), respectively. As expected, the holographic images can only be observed in the LCP-RCP and RCP-LCP measurement schemes for the RCP-Pol and LCP-Pol devices, respectively. Benefitting from this spin selective transmission property, there is no twin image generation, which exists in the typical geometric phase-based metasurface holography. By introducing the phase gradient into the metasurface holograms, the converted polarized light is separated from the residual light. This also allows us to easily separate the holographic images and the residual light, which correspond to the target Jones matrix and residual part. The optical performance of the metasurface holograms was also carried out at 680 and 760 nm, and similar phenomena were observed (see Sec. 7 in the Supplementary Material). 3.Discussion and ConclusionsIn summary, we have proposed a new strategy for retrieving the Jones matrix of an imperfect metasurface polarizer. Through a series of polarization measurements, we can comprehensively characterize the optical properties of the metasurface polarizers. Moving from theory to practice, we fabricated and measured the real Jones matrices of three metasurface polarizers at different wavelengths. Utilizing the linear metasurface polarizers, we demonstrated the polarization image encryption in real space, where the real Jones matrix plays a critical role in separating the target polarization component and the residual. By introducing the concept of geometric phase into the design of circular metasurface polarizers, we also presented the spin selective optical holography phenomenon. In addition, there is a one-to-one correspondence between the incident PSs and the transmitted ones, which may enable us to achieve a full Stokes polarimetry by a single metasurface optical chip. The proposed Jones matrix retrieval approach opens a new route for extracting useful information from imperfect metasurface optical elements and may have important applications in polarization imaging,36,37 advanced light source,38 information multiplexing,39,40 and so on. It should be noted that the traditional polarization optical elements are still playing important roles due to their high efficiency, extinction ratio, and wide bandwidth. Under specific application scenarios that requires small volume, light weight, and high integration level, the metasurface could be a promising platform. Thanks to the rapid development of nanofabrication, the large-scale fabrication of metasurfaces is compatible with the mature CMOS technology. By combining electron beam lithography, DUV projection lithography, and nanoimprinting technologies,41,42 the mass production costs can be greatly reduced in the future. 4.Appendix4.1.Materials and Methods4.1.1.Device fabricationAll the metasurface devices in this work were fabricated using the electron beam lithography and inductively coupled plasma etching processes. The procedures are as follows: a fused silica substrate with a 1400 nm thick silicon nitride layer, which was grown by plasma-enhanced chemical vapor deposition, was spin-coated with the positive tone electron beam resist and the charge dissipation solution, respectively. After baking the resist at a temperature of 180°C and the charge dissipation layer at a temperature of 90°C, the designed meta-atom patterns were written by exposing the resist with the electron beam lithography then developed in the MIBK/IPA 1:3 developer and washed in DI water. Afterward, a 20 nm thick chromium layer was deposited via the electron beam evaporation to fill the developed patterns, and the samples were immersed into the acetone for the lift-off process. The chromium patterns act as the hard mask in the inductively coupled plasma etching process (gas: and ), protecting the covered area from exposure to the plasma, and the silicon nitride meta-atoms were formed. Finally, the chromium residual was removed from the top of the meta-atoms using the chromium etchant. 4.1.2.Optical experimentThere are three optical setups for characterizing the metasurface polarizers’ Jones matrix (Fig. S1 in the Supplementary Material). The incident light source is a supercontinuum laser (NKT), and the output wavelength ranging from 640 to 1100 nm is controlled by an acousto-optic modulator. All the polarization states are defined when the incident light is viewed against the propagation direction of light. An assembly of a linear polarizer and a quarter-wave plate is used to obtain the LCP and RCP states of incident light. In the case of linear polarization measurement, one linear polarizer and one linear analyzer were used. The incident light is focused onto the metasurface polarizers from the substrate side by a lens with a focal length of and the transmitted light is collected by a 10× objective lens. The power of the transmitted light was measured by a Thorlabs power meter. For the polarization image encryption measurement, the transmitted signals were captured by a CCD camera. For the optical holography experiment, the focal length of lens 1 is 250 nm which was used to generate a Gaussian beam with a waist radius of . Code and Data AvailabilityThe data of this study are available from the corresponding author upon reasonable request. AcknowledgmentsThis work was supported by the National Key Technologies R&D Program of China (Grant No. 2022YFA1404301), the Zhangjiang Laboratory, the National Natural Science Foundation of China (Grant Nos. 91950114 and 12161141010), the Guangdong Provincial Innovation and Entrepreneurship Project (Grant No. 2017ZT07C071), the Guangdong Provincial Key Laboratory Program (Grant No. 2021B1212040001), and the Natural Science Foundation of Shenzhen Innovation Commission (Grant No. JCYJ20200109140808088). ReferencesD. H. Goldstein, Polarized Light, 3rd ed.CRC Press, Boca Raton
(2017). Google Scholar
P. G. Kwiat et al.,
“New high-intensity source of polarization-entangled photon pairs,”
Phys. Rev. Lett., 75
(24), 4337
–4341 https://doi.org/10.1103/PhysRevLett.75.4337 PRLTAO 0031-9007
(1995).
Google Scholar
Y. Kozawa and S. Sato,
“Generation of a radially polarized laser beam by use of a conical Brewster prism,”
Opt. Lett., 30
(22), 3063 https://doi.org/10.1364/OL.30.003063 OPLEDP 0146-9592
(2005).
Google Scholar
E. Matioli et al.,
“High-brightness polarized light-emitting diodes,”
Light Sci. Appl., 1
(8), e22 https://doi.org/10.1038/lsa.2012.22
(2012).
Google Scholar
M. De and L. Sévigny,
“Polarization holography,”
J. Opt. Soc. Am., 57
(1), 110
–110 https://doi.org/10.1364/JOSA.57.0110_1 JOSAAH 0030-3941
(1967).
Google Scholar
K. V. Chellappan, E. Erden and H. Urey,
“Laser-based displays: a review,”
Appl. Opt., 49
(25), F79
–F98 https://doi.org/10.1364/AO.49.000F79 APOPAI 0003-6935
(2010).
Google Scholar
T. Badloe et al.,
“Liquid crystal-powered Mie resonators for electrically tunable photorealistic color gradients and dark blacks,”
Light Sci. Appl., 11
(1), 118 https://doi.org/10.1038/s41377-022-00806-8
(2022).
Google Scholar
K. Sassen,
“The polarization lidar technique for cloud research: a review and current assessment,”
Bull. Am. Meteorol. Soc., 72
(12), 1848
–1866 https://doi.org/10.1175/1520-0477(1991)072<1848:TPLTFC>2.0.CO;2 BAMIAT 0003-0007
(1991).
Google Scholar
A. C. S. Readhead et al.,
“Polarization observations with the cosmic background imager,”
Science, 306
(5697), 836
–844 https://doi.org/10.1126/science.1105598 SCIEAS 0036-8075
(2004).
Google Scholar
C. He et al.,
“Polarisation optics for biomedical and clinical applications: a review,”
Light Sci. Appl., 10
(1), 194 https://doi.org/10.1038/s41377-021-00639-x
(2021).
Google Scholar
N. Yu et al.,
“Light propagation with phase discontinuities: generalized laws of reflection and refraction,”
Science, 334
(6054), 333
–337 https://doi.org/10.1126/science.1210713 SCIEAS 0036-8075
(2011).
Google Scholar
L. Huang et al.,
“Dispersionless phase discontinuities for controlling light propagation,”
Nano Lett., 12
(11), 5750
–5755 https://doi.org/10.1021/nl303031j NALEFD 1530-6984
(2012).
Google Scholar
D. Lin et al.,
“Dielectric gradient metasurface optical elements,”
Science, 345
(6194), 298
–302 https://doi.org/10.1126/science.1253213 SCIEAS 0036-8075
(2014).
Google Scholar
A. Arbabi et al.,
“Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission,”
Nat. Nanotechnol., 10
(11), 937
–943 https://doi.org/10.1038/nnano.2015.186 NNAABX 1748-3387
(2015).
Google Scholar
G. Zheng et al.,
“Metasurface holograms reaching 80% efficiency,”
Nat. Nanotechnol., 10
(4), 308
–312 https://doi.org/10.1038/nnano.2015.2 NNAABX 1748-3387
(2015).
Google Scholar
H. Ren et al.,
“Complex-amplitude metasurface-based orbital angular momentum holography in momentum space,”
Nat. Nanotechnol., 15
(11), 948
–955 https://doi.org/10.1038/s41565-020-0768-4 NNAABX 1748-3387
(2020).
Google Scholar
N. Yu et al.,
“A broadband, background-free quarter-wave plate based on plasmonic metasurfaces,”
Nano Lett., 12
(12), 6328
–6333 https://doi.org/10.1021/nl303445u NALEFD 1530-6984
(2012).
Google Scholar
N. K. Grady et al.,
“Terahertz metamaterials for linear polarization conversion and anomalous refraction,”
Science, 340
(6138), 1304
–1307 https://doi.org/10.1126/science.1235399 SCIEAS 0036-8075
(2013).
Google Scholar
C. Pfeiffer et al.,
“High performance bianisotropic metasurfaces: asymmetric transmission of light,”
Phys. Rev. Lett., 113
(2), 023902 https://doi.org/10.1103/PhysRevLett.113.023902 PRLTAO 0031-9007
(2014).
Google Scholar
Y. Yang et al.,
“Dielectric meta-reflectarray for broadband linear polarization conversion and optical vortex generation,”
Nano Lett., 14
(3), 1394
–1399 https://doi.org/10.1021/nl4044482 NALEFD 1530-6984
(2014).
Google Scholar
S. Kruk et al.,
“Invited article: broadband highly efficient dielectric metadevices for polarization control,”
APL Photonics, 1
(3), 030801 https://doi.org/10.1063/1.4949007
(2016).
Google Scholar
P. C. Wu et al.,
“Versatile polarization generation with an aluminum plasmonic metasurface,”
Nano Lett., 17
(1), 445
–452 https://doi.org/10.1021/acs.nanolett.6b04446 NALEFD 1530-6984
(2017).
Google Scholar
R. C. Jones,
“A new calculus for the treatment of optical systems I. Description and discussion of the calculus,”
J. Opt. Soc. Am., 31
(7), 488
–493 https://doi.org/10.1364/JOSA.31.000488 JOSAAH 0030-3941
(1941).
Google Scholar
M. Born, E. Wolf and A. B. Bhatia, Principles of Optics, 7th ed.Cambridge University Press, Cambridge
(1999). Google Scholar
R. C. Devlin et al.,
“Arbitrary spin-to-orbital angular momentum conversion of light,”
Science, 358
(6365), 896
–901 https://doi.org/10.1126/science.aao5392 SCIEAS 0036-8075
(2017).
Google Scholar
J. P. Balthasar Mueller et al.,
“Metasurface polarization optics: independent phase control of arbitrary orthogonal states of polarization,”
Phys. Rev. Lett., 118
(11), 113901 https://doi.org/10.1103/PhysRevLett.118.113901 PRLTAO 0031-9007
(2017).
Google Scholar
S. Wang et al.,
“Arbitrary polarization conversion dichroism metasurfaces for all-in-one full Poincaré sphere polarizers,”
Light Sci. Appl., 10
(1), 24 https://doi.org/10.1038/s41377-021-00468-y
(2021).
Google Scholar
Y. Bao et al.,
“Toward the capacity limit of 2D planar Jones matrix with a single-layer metasurface,”
Sci. Adv., 7
(25), eabh0365 https://doi.org/10.1126/sciadv.abh0365 STAMCV 1468-6996
(2021).
Google Scholar
Z. Shi et al.,
“Continuous angle-tunable birefringence with freeform metasurfaces for arbitrary polarization conversion,”
Sci. Adv., 6
(23), eaba3367 https://doi.org/10.1126/sciadv.aba3367 STAMCV 1468-6996
(2020).
Google Scholar
A. H. Dorrah et al.,
“Metasurface optics for on-demand polarization transformations along the optical path,”
Nat. Photonics, 15
(4), 287
–296 https://doi.org/10.1038/s41566-020-00750-2 NPAHBY 1749-4885
(2021).
Google Scholar
S. Lung,
“Complex-birefringent dielectric metasurfaces for arbitrary polarization-pair transformations,”
ACS Photonics, 7
(11), 3015
–3022 https://doi.org/10.1021/acsphotonics.0c01044
(2020).
Google Scholar
N. Mao et al.,
“Nonlinear vectorial holography with quad-atom metasurfaces,”
Proc. Natl. Acad. Sci. U. S. A., 119
(22), e2204418119 https://doi.org/10.1073/pnas.2204418119
(2022).
Google Scholar
R. Zhao et al.,
“Multichannel vectorial holographic display and encryption,”
Light Sci. Appl., 7
(1), 95 https://doi.org/10.1038/s41377-018-0091-0
(2018).
Google Scholar
Q. Song et al.,
“Broadband decoupling of intensity and polarization with vectorial Fourier metasurfaces,”
Nat. Commun., 12
(1), 3631 https://doi.org/10.1038/s41467-021-23908-0 NCAOBW 2041-1723
(2021).
Google Scholar
N. A. Rubin et al.,
“Jones matrix holography with metasurfaces,”
Sci. Adv., 7
(33), eabg7488 https://doi.org/10.1126/sciadv.abg7488 STAMCV 1468-6996
(2021).
Google Scholar
E. Arbabi et al.,
“Full-Stokes imaging polarimetry using dielectric metasurfaces,”
ACS Photonics, 5
(8), 3132
–3140 https://doi.org/10.1021/acsphotonics.8b00362
(2018).
Google Scholar
N. A. Rubin et al.,
“Matrix Fourier optics enables a compact full-Stokes polarization camera,”
Science, 365
(6448), eaax1839 https://doi.org/10.1126/science.aax1839 SCIEAS 0036-8075
(2019).
Google Scholar
P.-N. Ni et al.,
“Spin-decoupling of vertical cavity surface-emitting lasers with complete phase modulation using on-chip integrated Jones matrix metasurfaces,”
Nat. Commun., 13
(1), 7795 https://doi.org/10.1038/s41467-022-34977-0 NCAOBW 2041-1723
(2022).
Google Scholar
B. Xiong et al.,
“Breaking the limitation of polarization multiplexing in optical metasurfaces with engineered noise,”
Science, 379
(6629), 294
–299 https://doi.org/10.1126/science.ade5140 SCIEAS 0036-8075
(2023).
Google Scholar
T. Chang et al.,
“Universal metasurfaces for complete linear control of coherent light transmission,”
Adv. Mater., 34 2204085 https://doi.org/10.1002/adma.202204085 ADVMEW 0935-9648
(2022).
Google Scholar
J. Kim et al.,
“Scalable manufacturing of high-index atomic layer–polymer hybrid metasurfaces for metaphotonics in the visible,”
Nat. Mater., 22 474
–481 https://doi.org/10.1038/s41563-023-01485-5 NMAACR 1476-1122
(2023).
Google Scholar
J. S. Park et al.,
“All-glass 100 mm diameter visible metalens for imaging the cosmos,”
(2023). Google Scholar
BiographyGuanqing Zhang received his Bachelor of Science degree from Sun Yat-sen University in 2018, his Master of Science degree from the Hong Kong University of Science and Technology in 2019, and his PhD in physics from the Hong Kong Baptist University in 2023. His main research direction is the design and fabrication of optical metasurfaces. Zixian Hu received his Bachelor of Engineering degree from Fudan University, China, in 2020. He is currently a PhD student at the Southern University of Science and Technology, China. His research interests include linear and nonlinear optical metasurfaces, metasurface-based holography, and metasurface-based multifunctional terahertz radiation emitters. Qichang Ma received his Bachelor of Science and Master of Engineering degrees from South China Normal University in 2019 and 2022, respectively. He is currently working toward his PhD at the Southern University of Science and Technology, China. His current research interests include optical metasurfaces devices and optical precise measurement. Jiaming Huang is a postgraduate student at the Southern University of Science and Technology, China. He received his bachelor’s degree of engineering from the Southern University of Science and Technology, China, in 2022. His research interests include plasmonic metasurface and nanofabrication. Junhong Deng received his bachelor’s degree of science from the Department of Applied Physics at the South China Agricultural University in 2012. He finished his PhD at the Hong Kong Baptist University in 2017. From 2017, he joined Photonic Materials and Metamaterials Laboratory at the Southern University of Science and Technology, China, as a research scholar and postdoctoral fellow. Now, he is a research assistant professor researching photonic metasurface, nonlinear optics, and nanofabrication. Guixin Li is a professor in nanophotonics in the Department of Materials Science and Engineering, Institute for Applied Optics and Precision Engineering, Southern University of Science and Technology, China. He was awarded the 2019 Qiushi Outstanding Young Scholar of China. He has published 110 peer-reviewed papers in high-impact journals, such as Nature Materials, Nature Nanotechnology, Nature Photonics, Nature Physics, and Nature Reviews Materials. |