1. Introduction
Holography, initially conceived by Dennis Gabor in 1948 [
1], serves as a technique for capturing and reconstructing full-wave information from objects. However, conventional optical holography requires a complex photographic process to record the interferogram pattern formed by the scattered light from the object and a coherent beam. This makes optical holography susceptible to environmental factors such as temperature, humidity, and light, leading to compromised imaging quality. In response to this limitation, Brown and Lohman introduced the concept of computer-generated holography (CGH) in 1966 [
2]. In CGH, wavefront information at the hologram plane is numerically calculated using diffraction theory, simplifying the recording process through computer programming [
3,
4]. Compared with traditional optical holography, CGH not only facilitates the reconstruction of virtual objects but also enhances imaging quality through optimization algorithms, which greatly increases the degree of design freedom. Moreover, the integration of CGH with digital light-field modulators, including spatial light modulators (SLM) [
5] and digital micromirror devices (DMD) [
6,
7], equipped with dynamic light manipulation capabilities, enables the realization of multifunctional holography [
8,
9]. However, materials like phase-modulated materials with a finite refractive index, accumulates sufficient phase changes only when the light propagates over a distance much larger than the wavelength. Therefore, the size and thickness of the optical elements used to construct the phase hologram become significantly larger than the wavelength, which lead to high-order diffraction, low imaging efficiency, and limited resolution of hologram [
10]. Therefore, identifying superior modulation materials as alternatives has become a pressing concern in the field of optical holography.
In recent years, significant progress in nanofabrication technology holds the potential to revolutionize holography. Metasurfaces [
11,
12,
13,
14,
15,
16,
17,
18,
19], as two-dimensional(2D) forms of metamaterials, typically comprise arrays of subwavelength planar optical elements with spatial geometric variations. In comparison to digital light-field modulators and metamaterials, metasurfaces not only have the powerful ability to modulate optical properties on the sub-wavelength scales, but also offers advantages such as low absorption loss, lower fabrication difficulty, ultra-thinness, and small pixel size. Metasurfaces provide a new perspective for the design of various optical devices, such as orbital angular momentum devices [
20,
21,
22,
23,
24], cloak devices [
25,
26,
27,
28,
29,
30,
31], and ultra-thin planar lenses [
32,
33,
34] and spectroscopes [
35,
36]. A cutting-edge application of nanotechnology is the combination of metasurface and CGH, which composes metasurfaces by mapping CGH-generated holograms based on the local scattering properties of pre-designed nanostructures to realize holography. Metasurface holography offers several advantages over previous holographic implementations, such as higher spatial resolution, low noise, larger frequency bandwidth, and elimination of unwanted diffraction levels [
37,
38]. Consequently, metasurfaces are considered promising devices for applications such as display, imaging, encryption, etc.
Recently, with the proposal of multiplexing and reconfigurable metasurfaces, metasurface holography has gradually transitioned from passive to active elements. This transition has sparked noteworthy research, and we present a comprehensive overview of the progression from single metasurface holography to multiplexed and reconfigurable metasurface holography. In section 2, we introduced phase-only, amplitude-only and complex amplitude holography. In section 3, we focus on orbital angular momentum multiplexed metasurface holography, including the theoretical design and application. The subsequent discussion extends to angle-selective, wavelength-selective, and polarization-selective multiplexed metasurface holography. In the next section, we offer an in-depth review of the design theory and applications of reconfigurable metasurface holography, emphasizing the integration of electrically tunable metasurfaces with machine learning techniques. In the last section, we provide an overview of the future research perspectives and the challenges that lie ahead in the realm of metasurface holography.
2. Single metasurface holography
Metasurface holography is categorized into three types based on the distinction between the metasurface and electromagnetic modulation component in Computer-Generated Holography (CGH): phase-only metasurface holography, amplitude-only metasurface holography and complex amplitude metasurface holography.
2.1. Phase-only metasurface holography
The wavefront profiles of phase-only metasurface holograms can be generated by Gerchberg-Saxton (GS) or point source algorithms. These algorithms simulate the diffuse reflection of objects by incorporating random phase masks to achieve a uniform amplitude distribution. Among various types of metasurfaces, geometric metasurfaces based on the Pancharatnam-Berry (PB) principle exhibit excellent phase control capabilities. The abrupt phases related to the direction of spatial change are frequency-independent (dispersion-free) and completely depend on the orientation angle of the antenna [
39,
40]. Huang et al. [
41] demonstrated a metasurface hologram by the geometric phase principle, as shown in
Figure 1a. For circularly polarized incident light, the metasurface hologram can achieve the expected phase distribution in the orthogonal circularly polarized output light, and a 3D reconstructed image with resolution, large field of view, and no multi-order diffraction and twinning is displayed. However, the inherent ohmic loss in plasmonic materials will cause the inefficient diffraction of the proposed visible wavelength hologram. To solve this problem, Zheng et al. [
42] demonstrated a reflective geometrical metasurface hologram based on grounded metal planes. As shown in
Figure 1b, the hologram has diffraction efficiency of 80% at 825 nm and ultra-high bandwidth from 630 nm to 1050 nm. Notably, these geometric metasurface holograms can withstand up to 10% fabrication defects, including shape deformation and phase noise, which greatly reduces fabrication difficulties.
2.2. Amplitude-only metasurface holography
Amplitude, as optical field component, also can be regarded as one of the degrees of freedom in the design of metasurface holography. In amplitude-only metasurface holography, the local transmission or reflection amplitude of each meta-atoms can be quantitatively divided into different levels. The simplest and common strategy is to assume only two amplitude values, 0 and 1. Butt et al. [
43] used vertically aligned arrays of multi-walled carbon nanotubes as pixels to realize a binary amplitude hologram, as shown in
Figure 1c. However, the binary hologram mentioned above suffers from the twin image problem. To solve this problem, Huang et al. [
44] analyzed the diffraction field of a large number of subwavelength photon sieves, and then used the genetic algorithm (GA) for optimization to achieve a uniform, twin-free, and highly efficient binary amplitude hologram, as shown in
Figure 1d. However, the information storage capacity of binary holograms is inefficient. To solve this problem, Walther et al. [
45] tuned the transmission coefficient through the microscopic description of nanoholes in metal films of different sizes, and demonstrated multistage amplitude holography at two wavelengths, where such holes perforated in a metal film, which can be approximated by holes perforated in a metal film as components of a dipole emitter.
2.3. Complex amplitude metasurface holography
In fact, in order to reconstruct high-quality image without losing any information, the realization of an arbitrary complex wavefront requires simultaneous modulation of phase and amplitude. Based on the Babinet principle, Shalaev et al. [
37] proposed a V-shaped nanoantenna with two levels of amplitude and eight levels of phase modulation, and realized the reconstruction image with high-resolution, low-noise in the visible range, as shown in
Figure 2a. However, the bandwidth for plasmon resonance-tuned metasurface based on the symmetric and antisymmetric resonance modes is very limited. Wang et al. [
46] used a CSRR with broadband characteristics as the basic meta-atom, and simultaneously manipulated the amplitude and phase of the outgoing orthogonally polarized linear wave by changing the geometrical parameters (radius
, split angle
and orientation angle
). The complex amplitude hologram with five levels of amplitude modulation and eight levels of phase modulation is shown in
Figure 2b.
Another strategy for realizing complex amplitude modulation is to expand the geometrical metasurface. Lee et al. [
47] proposed an X-shaped meta-atom that could provide two independent modes of PB phase superposition to independently and completely control the amplitude and phase distributions at subwavelength spatial resolution. As shown in
Figure 2c, the experimental demonstration at visible wavelengths was realized based on this meta-atom. In addition, Overvig et al. [
48] proposed a dielectric metasurface composed of meta-atoms with different forms of birefringence and rotation angles. As shown in
Figure 2d, metasurfaces control the amplitude by structurally birefringent meta-atoms changing the conversion efficiency of one-handed circularly polarized light to backhandedly polarized circularly polarized light, and the phase by the in-plane orientation of the meta-atoms.
3. Multiplexed metasurface holography
With the potential of huge spatial bandwidth product and information capability, metasurfaces are very suitable for developing multiplexing techniques based on different optical properties. In this section, we present recent advances in multiplexed metasurface holography, including OAM-multiplexed, wavelength-multiplexed, angle-of-incidence-multiplexed and polarization-multiplexed metasurface holography.
3.1. Orbital angular momentum multiplexed metasurface holography
Orbital angular momentum (OAM) is of great interest as one of the fundamental physical properties. Vortex beams with OAM have a donut-shaped intensity distribution and exhibit a helical phase factor
, where
denotes the topological charge number and
denotes the azimuthal angle. Because of the orthogonality between different OAM modes, it is considered to a perfect approach to realize optical multiplexing, which play an important role in applications such as optical communication [
49,
50,
51], stimulated emission loss microscopy [
52,
53], and optical tweezers [
54,
55]. Recently, there have been a number of multiplexed metasurface holography techniques with OAM as the degree of freedom proposed. In 2019, Ren et al. [
56] demonstrated OAM metasurface holography with GaN nanopillars. As shown in
Figure 3a, three kinds of metasurface holograms with discrete spatial frequency distributions have been proposed including OAM-conserving, selective and multiplexed metasurface holograms, where OAM beams with different topological charges can reconstruct different character images.
In addition, orthogonality makes OAM naturally have huge advantages in data encryption. In 2020, Zhou et al. [
57] combined OAM and polarization selectivity, proposing a technique for holographic information encryption and image generation using an all-media birefringent metasurface. Interestingly, this method provides additional degrees of freedom for erasing and modifying the holographic image, similar to the always-known stimulated emission depletion (STED) technique in microscopy [
58,
59]. Furthermore, the number of topological charges between different OAM beams is infinite, thus has tremendous potential for data storage. In 2021, Ren et al. [
60] demonstrated a momentum-space ultrahigh-dimensional large-scale OAM multiplexed holography on the basis of complex amplitude metasurface, as shown in
Figure 3c. vortex beams that range from -50~50 OAM modes are sequentially incident on the metasurface hologram in order to solve the orthogonal image framing problem of OAM, and two different holographic videos will be reconstructed simultaneously in momentum space. Besides, OAM can also solve the coupling problem of nonlinear waves. In 2021, Fang et al. [
61] demonstrated a high-dimensional OAM multiplexed nonlinear holography. As shown in
Figure 3d, through combining the class II second harmonic generation process [
62], different OAM holographic images in the fundamental and second harmonics can be reconstructed independently in the spatial frequency domain.
3.2. Wavelength multiplexed(colorful) metasurface holography
Conventional optical holography usually works at single frequency point because of the limitation of the diffraction principle. However, the realization of specific optical functions at different wavelengths is a fundamental requirement for integrated photonics, such as colorful holographic displays. Currently, metasurface with interleaved design become an effective way for wavelength-multiplexed and multifunctional meta-device design. In 2015, Huang et al. [
63] presented an interleaved nanoblocks structure that consisted of four subunits to achieve independent phase modulation for linearly polarization of red, green and blue. the colorful metasurface holography was achieved, as shown in
Figure 4a. However, the orientation directions of all nanoblocks above are the same, which makes the device only obtain a phase difference of
. In order to broke this limitation, Wang et al. [
64] changed the orientation angle among the nanoblocks to achieve full-phase modulation under circular polarization, and the corresponding achromatic and high-dispersion colorful holograms was shown in
Figure 4b.
Besides, the interleaved metasurfaces can provide some control of polarization. As shown in
Figure 4c, the meta-atom consisted of two interlaced nanoblocks. Each of nanoblock could approximately independently control the phase of specific wavelength and polarization of beam [
65]. As shown in
Figure 4d, the holographic images of "chameleon" in LCP green light and RCP red light are displayed at the same time, and the color of “chameleon” will be changed by control of the polarization of the incident wave. The realization of full color gamut holographic display has always been a human dream, but the current color holography mainly focuses on hue and saturation, with little exploration of luminance. Bao et al. [
66] proposed a dielectric metasurface made of crystal silicon nanoblocks. The meta-atom not only achieved a customizable coverage of the three primary colors, but also enabled intensity control. The color gamut of holographic images was extended from 2D to 3D HSB space. Moreover, as shown in
Figure 4f, a single-layer silicon metasurface can simultaneously display arbitrary HSB color nano-printed and full-color holographic images.
3.3. Angular multiplexed metasurface holography
In metasurface holography, plane waves (Gaussian beam excitation) are the most common type. The plane wave imposes a constant (normal incidence) or linear gradient (titled incidence) phase on the metasurface, and is modulated into the desired wavefront. Typically, when the angle of incident deviates from the design, the holographic image is shifted or distorted, as shown in
Figure 5a. Currently, there are some strategies to break this limitation. In 2017, Kamali et al. [
67] demonstrated an angle-multiplexed metasurface holography composed of U-shaped dielectric resonators. As shown in
Figure 5b, it can excite symmetric and antisymmetric resonance modes at different incidence angles, and the tremendous difference between the two modes exhibits the potential for independent phase modulation. The proposed angle-multiplexed metasurface hologram can encode different holographical images under
and
incidence angles with TE polarization, as shown in
Figure 5c. Similar to this principle, Shuai et al. [
68] further proposed a Fabry-Platino (FP) [
69] resonator meta-atom. The discrepancy between the critical resonance lengths of the surface plasmon and MIM nanocavity for different illumination angles allows modulating the phase and amplitude at the same time. As shown in
Figure 5d, this method enables independent encryption that displays near-field microscopic image (3D dice) at
and far-field holographic image (K or Q) at
.
Besides, the angular multiplexed technique is a suitable method for independent multichannel wavefront control. In 2020, Zhang et al. [
70] combined the wraparound phase holograms with the spatial multiplexing to record four phase profiles in a single metasurface hologram. As shown in
Figure 5e-f, four different images can be generated independently with high fidelity depending on the incidence angle. The wavefront control scheme can be applied not only to metasurface holographic multiplexing, but also extended to multifunctional planar optics and wearable devices.
3.4. Polarization multiplexing metasurface holography
As a transverse wave, electromagnetic wave has polarization property. Traditional CGH devices are either polarization insensitive (diffractive optical elements) [
71,
72] or can only operate in specific polarization states (liquid crystal [
73]). Metasurface hologram consisting of anisotropic subwavelength structure can provide the ability to respond differently depending on the polarization state. This property makes them suitable for polarization multiplexed holography. In 2020, Guan et al. [
74] achieved two different information channels by manipulating the transmitted cross-polarized and co-polarized components of a 1-bit encoded metasurface at linearly polarized incidence. The orientation of the double-layer open ring (SR) aperture of the meta-atom was specifically designed to be 45° or 135° to achieve the same multiplexing functionality for both x-polarized and y-polarized incidence. A proof-of-concept experiment was demonstrated in
Figure 6a, the proposed coded metasurface holograms could project two separate holographic images at the same time without altering the incidence state, and avoided the crosstalk between the different channels. In addition to linearly polarization states, circularly polarization states can also be considered as a degree of freedom for metasurface hologram. Muller et al. [
75] combined geometric and propagating phase to achieve two independent and arbitrary phase distributions for any pair of orthogonal polarization states (linear, elliptical or circular). Muller et al. demonstrated chiral metasurface holography by the way for left- and right-handed circularly polarization states, respectively, as shown in
Figure 6b. Circularly polarization (CP) modulation based on geometric phase (Pancharatnam-Berry (P-B)) [
76,
77] has been widely explored for metasurface engineering. However, the inherent nature of the P-B phase produces antisymmetric (equal and opposite) response properties between orthogonal CP states, which means that the same functionality cannot be achieved under right- and left-handed circularly polarization (RHCP and LHCP). To overcome this limitation, guan et al. [
78] proposed a polarization-free encoded metasurface to manipulate circularly polarization. The proposed design not only overcomes the antisymmetric response properties between orthogonal circularly polarization states, thus enabling the same functionality under illumination of right- and left-handed circularly polarized wave and avoiding polarization transition loss, but also provides additional degrees of freedom for controlling inertia. guan et al. designed a polarization-free multibit encoded metasurface for realizing a helical-switching hologram in the microwave region, as shown in
Figure 6c.
In addition, P-B phase methods can be combined with other modulation methods. In 2020, Deng et al. [
79] presented a multi-freedom metasurface that could simultaneously modulate phase, polarization and amplitude independently, and further realized frequency multiplexing through k-space engineering techniques. The multi-freedom metasurface seamlessly combined geometric Pancharatnam-Berry phases and meander phases, both of which were frequency independent. Thus, it allowed complex amplitude vector holograms at different frequencies based on the same design strategy without the need for complex nanostructure searches for a large number of geometric parameters. Based on this principle, Deng et al. demonstrated visible light full-color complex amplitude metasurface holograms, as shown in
Figure 6d.
4. Reconfigurable metasurface holography
In fact, most of the reported metasurface holography is either static or realizes several different states by the multiplexing method described above. Recently, reconfigurable metasurfaces have been proposed to provide the possibility of realizing arbitrary, real-time dynamic metasurface holography [
80,
81]. Reconfigurable metasurfaces integrated with various functional materials (e.g., phase-change materials [
82,
83], 2D materials [
84,
85], electronic components [
86,
87], etc.) allow pixel-level independent control of the optical properties for dynamic metasurface holography through various modulation methods (e.g., thermal excitation, voltage bias, mechanical deformation, etc.) [
88,
89]. GeSbTe(GST) [
90], a phase-change material widely used in optical storage and reconfigurable photonic devices. It can be repeatedly switched between amorphous and crystalline states by thermal, exhibiting different refractive indices and high contrast in the near- and mid-infrared spectral ranges. By combining plasmonic metasurface with GST, Zhang et al. [
91] realized switchable metasurface holography, as shown in
Figure 7a. When the GST was in the amorphous state, the holographic images and vortex beams were performed, as shown in
Figure 7b. When heating these devices, the GST changes to crystalline state and these functions disappeared.
However, it is similar to multiplexed metasurfaces, which can only perform several functions. Loading electronic components to achieve reconfigurable metasurface is a smarter solution. In 2017, Cui et al. [
92] designed 1-bit digital metasurface loaded with PIN diode. The digital metasurface has both “on” and “off” scattering characteristics by varying the bias voltage on PIN diode, as shown in
Figure 7c. Therefore, various wave fronts can be dynamically manipulated by controlling the state of meta-atom with a field-programmable gate array (FPGA). Cui et al. demonstrates an efficient active metasurface hologram by the method, as shown in
Figure 7d.
Besides, electrically tunable metasurfaces with low latency and field programmability are extremely suitable for combining with deep learning [
93,
94,
95], and here have been some intelligent dynamic holograms by this method capable of instantaneously generating arbitrary targets. In 2021, Liu et al. [
96] proposed unsupervised generative adversarial network by physically-assisted, as shown in
Figure 7e. This network, combined the physical mechanism between the electric field distribution and the metasurface, was able to efficiently and non-iteratively design encoded metasurface holograms. Liu et al. demonstrated the quick dynamic imaging effect of this method, as shown in
Figure 7f. In fact, deep learning has more powerful potential for hologram generation. In 2022, Zou et al. [
97] considered the effect of imaging distance on the physical model, and proposed a deep learning network that could generate holograms at the corresponding imaging distance on demand, as shown in
Figure 7g. Combined with reconfigurable metasurface by varactor diode, Zou et al. demonstrated a 3D hologram slice display, as shown in
Figure 7h.
5. Discussion and outlook
In summary, we have explored recent advancements in multiplexed and reconfigurable metasurface holography. Metasurfaces, capable of modulating phase, amplitude, polarization, and various optical parameters at subwavelength scales, offer distinct advantages. In comparison to conventional holography methods employing Spatial Light Modulators (SLM) or diffractive optical elements, metasurface holography harnesses these attractive properties to achieve high-quality, high-resolution holographic images across expansive fields of view. The introduction of multiplexed and reconfigurable metasurfaces extends the functional capabilities of holography, with implications for applications in optical storage, encryption, and holographic displays.
Dynamic control of the hologram is essential for realizing the full potential of holographic displays, demanding an infinite number of vivid frames at a substantial frame rate. However, most of the current metasurface holograms are static or have several functions after fabrication. Although new techniques for dynamic control based on reprogrammable encoded metasurfaces have been proposed, it is still very difficult to obtain in real time the ultimate holographic displays shown in science fiction movies. The integration of electrically tunable metasurface holography and machine learning gives us a brand-new perspective, and we believe that the ideal dynamic metasurface holography will appear in the near future.
Funding
This work is supported by the Natural Science Foundation of China Grant No. 62171410.
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