Azadeh Didari-Bader
Nooshin M. Estakhri2
Nasim Mohammadi Estakhri- 1Fowler School of Engineering, Chapman University, Orange, CA, United States
- 2Department of Physics, Virginia Tech, Blacksburg, VA, United States
In this work, we investigate a class of planar photonic structures operating as passive thermoregulators. The radiative cooling process is adjusted through the incorporation of a phase change material (Vanadium Dioxide, VO2) in conjunction with a layer of transparent conductive oxide (Aluminum-doped Zinc Oxide, AZO). VO2 is known to undergo a phase transition from the “dielectric” phase to the “plasmonic” or “metallic” phase at a critical temperature close to 68°C. In addition, AZO shows plasmonic properties at the long-wave infrared spectrum, which, combined with VO2, provides a rich platform to achieve low reflections across the atmospheric transparency window, as demanded in radiative cooling applications, while also maintaining a compact size. Using numerical analysis, we study two classes of patterned and non-patterned compact multilayer metal-dielectric-metal metasurfaces, aiming to maximize the overall absorption in the first atmospheric transparency window (8–13 µm) while maintaining a high reflection across the solar spectrum (0.3–2.5 µm). Surfaces are initially designed based on a round of coarse optimization and further improved through analyzing the impact of geometric parameters such as size and periodicity of the metasurface elements. Our findings are relevant to applications in thermal regulation systems and passive radiative cooling of high-temperature devices, such as electronic elements.
1 Introduction
Energy consumption and the global demand for cooling are predicted to increase tenfold by 2050 (Goldstein, Raman and Fan, 2017). This sudden surge, both in residential and commercial areas, brings in the need for alternative solutions to compensate for the rise in energy consumption. Specifically, over the past decade, the need for alternate daytime and night-time cooling solutions for buildings, solar cells, and electronic devices has created an increased interest in passive radiative cooling approaches (Raman et al., 2014; Sun et al., 2017; Wang et al., 2021). Designer nanophotonic systems have been employed to realize radiative cooling (Assawaworrarit, Omair and Fan, 2022; Choi et al., 2022; Fan and Li, 2022; Li et al., 2022; Didari-Bader and Menguc, 2023) through selective design approaches that involve a combination of carefully selected materials and engineered structural parameters. Metamaterials, metasurfaces, and multilayered thin-film structures (Kecebas et al., 2017; Didari and Mengüç, 2018; Bijarniya, Sarkar and Maiti, 2020; Perrakis et al., 2020; Kim et al., 2021; Yin et al., 2021; Araki and Zhang, 2022; Chamoli et al., 2022; Jin, Jeong and Yu, 2022; Lee et al., 2022; Cai et al., 2018; Gentle et al., 2018; Sun et al., 2018a; Zhao et al., 2020; Qin et al., 2022; Sun et al., 2022a; Sun et al., 2022b) have been explored for realizing temperature-adaptive devices for radiative cooling purposes. Meta-structures have been proven to outperform conventional structures for radiative cooling applications, as they provide more degrees of freedom to strategically optimize the performance of the system (Lee et al., 2022). Ideal daytime radiative coolers need to achieve relatively high reflection within the solar spectrum and simultaneously high emission (absorption) within the atmospheric transparency windows. Depending on the desired application, various considerations should be made when designing a radiative cooler, including the ambient and targeted temperatures, broadband or narrowband spectral emissivity, and the choice of material.
Passive temperature-switchable cooling is an especially appealing progression of the more traditional passive radiative cooling approaches, allowing for temperature-regulated responses. The self-regulatory temperature can be achieved through the incorporation of phase-change materials, which then creates a temperature-sensitive response due to the phase-change transition from metallic to dielectric states and vice versa. Metasurface configurations have shown to be successful candidates for these devices as they can provide enhanced and controllable wave matter interaction over subwavelength-scale volumes. Recently, smart thermal emitters based on VO2 on Silicon dioxide (SiO2) spacers have been proposed to achieve enhanced infrared absorption (Sun et al., 2018b) along with high visual transparency (Sun et al., 2022b) for radiative cooling in terrestrial and space applications. In addition, multilayer VO2-based coatings (Ono et al., 2018; Araki and Zhang, 2022), scalable micro-structured VO2 metasurfaces (Long, Taylor and Wang, 2020), as well as the incorporation of other phase change materials such as In3SbTe2, have been recently studied for switchable infrared emission and/or radiative cooling (Zha et al., 2022). In this work and building upon the previous advances in switchable radiative cooling metasurfaces, we study two self-adaptive layered metasurfaces with patterned and non-patterned VO2 top layers. Different dielectric spacers and a secondary plasmonic layer (AZO) are incorporated into the design to take advantage of possible coupling to guided modes (Abass et al., 2012) to enhance emissivity within the atmospheric window. The non-patterned structures are first optimized for the thickness of each layer for both high reflectivity and high emissivity within the solar spectrum and atmospheric transparency window, respectively. Patterning the phase-change material is also used to improve the spectral responses. Our findings also show that when VO2 has a dielectric response (cold state), geometric manipulation has no significant effect on the tunability of the optical response of these structures. We will expand on these discussions in section 2, where we discuss material selection, design, and methodologies, followed by results and discussions in section 3.
2 Material selection, design, and methodology
2.1 Material selection
In this work, we analyze the optical response of two self-adaptive planar metasurfaces for their potential use in passive radiative cooling applications. The proposed structures are composed of phase-change materials (PCMs) (Ono et al., 2018; Zhang et al., 2018; Sato and Yamada, 2019; Ko, Badloe and Rho, 2021), transparent conducting oxides (TCOs) (Lewis and Paine, 2000; Abb et al., 2014; Sun et al., 2018a), and plasmonic (Xia et al., 2017; 2022) and dielectric materials. Each of these material categories plays a unique role in tailoring the reflection and absorption properties of the structures under study within the visible and infrared spectrums. In this section, we briefly review material characteristics for PCMs and TCOs and their functionalities in radiative cooling applications.
2.1.1 Phase-change material selection
PCMs enable a plethora of applications in tunable nanophotonic structures including tuning the response of infrared antennas and metasurfaces, optical limiting and optical diodes, and tuning quantum two-photon interference, to name a few (Morin, 1959; Wang et al., 2016; Butakov et al., 2018; Wan et al., 2018; Howes et al., 2020; Estakhri and Norris, 2021; Irfan Lone and Jilte, 2021; Wan et al., 2021; Song et al., 2022; Li et al., 2023; Tognazzi et al., 2023). In radiative cooling processes, PCMs such as VO2 that undergo a metal-to-insulator transition at certain temperatures can potentially act as a switch that has “off” and “on” states (Cui et al., 2018; Ono et al., 2018). In high-temperature conditions and when addressing excessive heat, such a PCM-based structure is switched on to facilitate the cooling process. This results in high emissivity within the atmospheric transparency window. When the environment under the study has cooled down, the PCMs that undergo metal-to-insulator transition act in the “off” state, allowing reduced emissivity throughout the infrared spectrum. Therefore, preventing further cooling down. Here, we use a well-studied PCM, VO2, as thermal switch. Pristine VO2 exhibits a transition from insulator to metallic state at a critical temperature of 68°C (Sun et al., 2022b). We note that the exact transition temperature of VO2 depends on the film thickness and the substrate material (Wan et al., 2019), thus might be slightly different from the nominal value for different designs. VO2 can be fabricated using atomic layer deposition, which provides great control over the thickness and uniformity of the layers (Currie, Mastro and Wheeler, 2018). It is also possible to reduce the critical temperature at which VO2 experiences its phase change through co-doping of other materials, such as Tungsten and Strontium, into pristine VO2 (Ono et al., 2018). These key properties exhibit VO2 as a fitting choice for radiative cooling applications.
2.1.2 Transparent conducting oxide selection
TCOs (Lewis and Paine, 2000) are a class of materials that are electrically conductive, yet they can be optically transparent. In addition, and based on their free-electron density (i.e., by adding electron donor dopants), these materials can be tuned to achieve a dielectric phase in the visible and a metallic response in the near- and far-infrared spectrum range (Sun et al., 2018a). TCOs can be fabricated with various techniques such as sputtering, evaporation, atomic layer deposition, and pulsed laser deposition, allowing for accurate thickness control and nano-scale-thin layer fabrication (Sun et al., 2018a). Here, we incorporated a layer of AZO in our proposed designs which creates a transition from dielectric characteristics in the visible and near-infrared range into a metallic phase in the mid-infrared range.
2.2 Design
Schematics of the proposed layered structures are shown in Figure 1. We consider the case of a four-layer surface, as illustrated in Figures 1A–C and a five-layer surface, as illustrated in Figures 1D–F. Both structures are placed on a reflective Aluminum (Al) ground, and the VO2 and AZO layers are separated with a dielectric spacer in each case (Sun et al., 2022b). The first spacer (SiO2) shows an absorption peak around 10 µm which is within the first atmospheric transparency window, while the second spacer (Aluminum Oxide, Al2O3) is low loss across this range, with an absorption peak in longer wavelengths (E.D. Palik ed., 1998). Both spacers are low-index and lossless across the visible spectrum. To take advantage of the high absorption in SiO2 while masking the sharp transitions occurring around 10 μm, the layer of SiO2 is placed below the AZO layer in the five-layer configuration. Relevant geometric parameters are provided in the figure. Parameters “L” and “d” are only relevant to the patterned surface, while all the other parameters are kept constant between patterned and non-patterned scenarios.
FIGURE 1. 3D rendering of the (A, D) non-patterned and (B, E) unit cell of the patterned metasurfaces studied in this work. The four-layer system consists of a SiO2 layer sandwiched between thin layers of VO2 and AZO, placed on an Al substrate (A–C). The metal-backed five-layer system consists of VO2, Al2O3, AZO, SiO2, and Al (D–F). (C, F) Cross-sections of the patterned structures (with x and y periodicity of “L”) where the top VO2 layer is replaced with square VO2 patches. The optimized values for all thicknesses are provided in the main text.
In the first step, genetic algorithm is used to optimize the thickness of the layers in both structures, aiming at simultaneously maximizing absorption within the atmospheric transparency window and maximizing reflection within the solar spectrum range. More details on the optimization are provided in Section 2.3. As a result of this optimization, for the four-layer structure, we chose Al, AZO, SiO2, and VO2 thicknesses to be 165 nm, 25 nm, 2,200 nm, and 14 nm, respectively. Similarly, for the five-layer structure, we set the thicknesses of Al, AZO, SiO2, Al2O3, and VO2 layers at 80, 1,500, 120, 970, and 16 nm, respectively. Accordingly, the total height of the four-layer structure is H = 2.404 μm, and the height of the five-layer structure is H = 2.686 μm, well within the range of conventional metasurfaces.
2.3 Methodology
2.3.1 Genetic optimization algorithm
The first stage of the design is a coarse optimization to set the thickness of each layer. See the end of the Design section for the parameter values. At this stage, we exclude the effect of the VO2 patterning, i.e., the optimization is performed only for the layered non-patterned surfaces. This allows us to significantly reduce the computational cost of the optimization while creating a good baseline for the design of the patterned structures. Indeed, and as it will be discussed later, we observed that the main effect of VO2 patterning is through localized resonances at the corners. Consequently, this initial optimization operates in conjunction with the patterning effect to boost the performance of the device. MATLAB embedded genetic algorithm optimization is used (Matlab, 2023) to maximize reflection and absorption across 0.2–2.5 μm and 8–20 μm, respectively. Specifically, reflection is calculated at 50 nm intervals across 0.2–2.5 μm (47 points), and absorption is calculated at 0.5 μm intervals across 8–20 μm (25 points). Optimization goal is set to minimize
FIGURE 2. Absorption (red-dashed) and reflection (blue-solid) spectra for the four-layer structure shown in Fig.1(A) at (A) cold and (B) hot states.
2.3.2 Finite difference time domain method
After the thickness values are set through the initial optimization process, we conduct a 3D finite difference time domain (FDTD) analysis to obtain the reflection, absorption, and transmission spectra of both structures (Lumerical, 2023). In this study, the excitation source is a plane wave illuminating perpendicularly from the top of the structure along the negative z-axis (see Figure 1). In terms of boundary conditions in the numerical studies, we adopted periodic boundary conditions in the x and y directions and a perfectly matched layer (PML) along the z-axis. Two 2D z-normal monitors are placed to record the reflection and transmission spectra of fields. To deal with very thin films, advanced mesh refinement is used, and an extra mesh layer is applied to increase the accuracy of the calculated fields across the structures and at the intersection between layers. The wavelength range of interest in our simulations is 0.4–20 μm.
2.3.3 Finite element simulations and mode analysis
The field profiles presented in the next section and the modal analysis reported in the text are performed in the COMSOL RF solver (COMSOL, 2023). For the simulation of the patterned metasurface, the minimum/maximum mesh sizes are set to 20/100 nm for the AZO and Al layers, 50/200 nm for dielectric layers, 3/50 nm for the VO2 patch, and 80/300 nm for the air region. For mode analysis simulations in non-patterned structures, the minimum mesh size is set to 2 nm throughout the whole structure. The maximum mesh size is set to 5 nm in Al, VO2 and AZO layers and 200 nm in SiO2, Al2O3, and air regions.
3 Results and discussions
3.1 Four-layer structure
The FDTD results for the reflection and absorption spectra of the four-layer metasurface at both the cold state and hot state (referring to temperatures lower and higher than the critical temperature of the pristine VO2) are depicted in Figure 2. When VO2 is in the hot state (Figure 2B), a relatively high reflection within the solar spectrum is observed. Inspecting the atmospheric transparency window, absorption is significantly higher than the cold state; however, it experiences a sharp drop in magnitude around 10.4 μm while maintaining higher values toward 8 μm and 13 μm. This sudden decrease in absorption occurs around the absorption peak of SiO2, which results in an abrupt change in its complex refractive index profile and therefore leaves it a challenging task to achieve very high absorptions around 10.4 μm. To partially mitigate these effects and increase the absorption throughout this range, we start by performing two parametric studies, as discussed below. Following that, in Section 3.2, we fully mitigate this challenge using the five-layer configuration.
At the dip wavelength (around 10.4 μm), the absorption level is around 30%. While this value is still quite high, we first perform a modal analysis at this wavelength to explore the possibility of increasing the absorption level by matching the momentum of such modes through surface patterning. This study provides us with initial periodicities of around 6.2 μm and 4.8 μm for TE and TM modes. Consequently, for the first parametric study, we investigate the impact of varying the periodicity of the structure while parameter “d” is kept unchanged at 0.3 μm. The absorption profiles are illustrated in Figure 3A for periodicities of 1.5, 2.5, 3.5, 4.8, and 6.2 μm. As can be seen, the examined periodicities show a similar overall behavior without a significant change in the absorption characteristics of the four-layer structure. Among these, the period of 1.5 μm seems to decrease the absorption within the higher wavelength range, which is not a desired effect. The structure with a period of 2.5 μm reaches the highest overall absorption within 8–20 μm (and simultaneously has a high reflection profile in the 0.4–2.5 μm range).
FIGURE 3. (A) Absorption spectra for the four-layer structure shown in Fig.1(A) for hot state and for (A) different periodicities and (B) for different values of “d”, as listed in the legends. In panel (A) the absorption spectrum of the unpatterned structure is also shown for comparison (gray line). The shaded area in both panels indicate the first atmospheric transparency window of 8–13 µm.
It is worth mentioning that while the periodicity of the patterned structure can (partially) fulfill the momentum matching requirement, we note that the efficiency of coupling is strongly dependent on the shape and size of the surface elements, as well as the nature of the excited modes (Abass et al., 2012). In the second parametric study, we keep the period fixed at 2.5 μm and inspect the effect of changing “d” (the distance between VO2 patches) on the absorption spectra. The distance is changed between 0.1, 0.2, 0.3, 0.4, 0.8, and 1.5 μm, as illustrated in Figure 3B. The results indicate that as we increase “d” from 0.1 to 1.5 μm, the absorption behavior around 13 μm is almost unchanged; however, for d = 0.3 μm, almost perfect absorption is achieved at 8 μm and across the 14–17 μm range. For larger values of “d” (0.8 and 1.5 μm), we observe a significant drop in the absorption intensities, consistent with the fact that the overall surface area of VO2 is very small in these cases.
The study shows that even for the case of d = 0.3 μm, the sudden decrease in absorption around 10.4 μm is still present, which may not be ideal for radiative cooling purposes. To alleviate this effect and achieve a high absorption throughout the entire atmospheric transparency window (i.e., 8–13 μm), we next introduce a five-layer structure composed of a metal-insulator-metal segment, as shown in Figure 1D.
3.2 Five-layer structure
The five-layer structure consists of an additional Al2O3 thin film. Al2O3 shows an absorption peak around 17 μm (E.D. Palik ed., 1998), small absorption within the 8–13 μm range, and no significant absorption within the visible and near-infrared spectrum. As discussed in Section 2.2, the thicknesses of layers are determined through a coarse optimization step. Figure 4 illustrates the absorption and reflection spectra of the optimized five-layer structure in the cold and hot states. The undesired dip observed in the four-layer structure is not present in the hot state absorption spectra, and simultaneously, the overall absorption is lower in the cold state. Interestingly, when the VO2 layer is not plasmonic (i.e., cold state), some spectral signature of the SiO2 absorption peak is present in the response. Also, in both states, the reflection is highly oscillatory at shorter wavelengths, maintaining an average of approximately 50%.
FIGURE 4. Absorption (red-dashed) and reflection (blue-solid) spectra for the five-layer structure shown in Fig.1(D) at (A) cold and (B) hot states.
Despite the increase in the absorption profile of the optimized non-patterned five-layer structure within the atmospheric window, the absorption magnitude stays below 0.8. Like the previous case, and to enhance the absorption within this range, we introduce periodicities of 1.5, 2.5, 3.5, 5, and 7 μm to the structure (see Figure 1). We note that due to the high absorption of the layered structure, the in-plane modes are highly lossy in this case. Figure 5A depicts the calculated absorption spectra for these periodicities in the hot state. For all cases, parameter “d” is kept constant at 0.7 μm. Inspecting Figure 5A, we observe a significant improvement in the overall absorption (and strong dependency on “L”). The structure with a period of 1.5 μm experiences a sudden drop in absorption, which is due to the smaller VO2 surface area. The structure with a periodicity of 3.5 μm shows a fairly constant absorption magnitude of around 0.9, and absorption starts to drop slightly for higher periodicities.
FIGURE 5. Absorption spectra for the five-layer structure shown in Figure 1E for (A) hot state and (B) cold state, for different periodicities of the VO2 patches, as listed in the legends.
To see the whole picture, it is also essential to examine the effect of the patterning of the structure on the spectral responses of the cold state. Towards that end, Figure 5B shows the absorption profiles of the five-layer structure at the cold state for different periodicities. The impact of the insulator mode of VO2 can be clearly seen within the atmospheric window. As expected, the absorption profiles in the cold state demonstrate a clear decrease in magnitude when compared with the hot state results. This is because VO2 depicts a dielectric response here. It is also apparent from the results shown in Figure 5B that geometric variations and introduced periodicities have no significant impact on the reduction or enhancement of the absorption profiles in the cold state.
Given the achieved high absorption magnitude, we chose to further the work by picking the period of 3.5 μm to investigate the impact of the distance between VO2 patches (parameter “d”) through parametric studies. Figure 6A shows the results for the sweep analysis on “d” with values of 0.3, 0.5, 0.7, 0.9, and 1.1 μm. The results reveal that the absorption spectra experience blue shift for larger values of “d” (i.e., smaller VO2 patches), with d = 1.1 μm reaching an almost perfect rate of 0.98 for the 6–9 μm range. The near-field distribution for L = 3.5 μm and d = 0.7 μm is shown in Figure 6B at four wavelengths. The field amplitudes are normalized to the amplitude of the excitation plane wave. As can be seen, the main contribution of the patterning is through scattering from the edges of the plasmonic VO2 patches into the substrate (Abass et al., 2012), while at the same time, the large scattering can increase the impedance mismatch with free space, resulting in lower absorption. So, a trade-off is present. For instance, at the operational wavelength of 12.6 μm, despite observing large scattering at the edges (Figure 6B), the absorption is still lower than the non-patterned structure (see Figure 5A).
FIGURE 6. (A) Absorption profiles for the five-layer patterned structure at the hot state for different values of “d”, as listed in the legend. (B) Electric field amplitude at 8.6, 10.1, 11.6, and 12.6 μm for L = 3.5 μm and d = 0.7 μm. The incident plane wave is y-polarized, and the fields are plotted in the middle of the VO2 layer in the x-y plane. All fields are normalized to the amplitude of the incident plane wave.
4 Conclusion
We investigated the performance of two nanophotonic structures for adaptive radiative cooling applications. A thin layer of non-patterned or patterned VO2 is incorporated in each design to enable the desired thermal switching between the hot state (T > 68°C) and cold state (T < 68°C). The structures achieve high reflectivity within the solar spectrum (0.4–2.5 μm) and simultaneously high absorption within the atmospheric transparency window (8–13 μm) in the hot state. In addition, we show that through a two-stage design process, including an initial fast optimization of the thickness of layers, we can significantly enhance and tune the overall absorption. The phase transition of VO2 plays a crucial role in the proposed structures, enabling enhanced absorption within the atmospheric transparency window when in the metallic phase. However, when VO2 is in the dielectric phase, our study showed insignificant tunability within the atmospheric window. The proposed five-layer structure outperformed the four-layer structure when Al2O3 was added in a metal-insulator-metal arrangement to the five-layer structure. This is attributed to the adverse impact of the intrinsic absorption peak of SiO2 in the desired wavelength range. We envision that these findings for such planar structures could find applications in radiative cooling in electronic devices and spacecrafts, especially due to their inherent compactness as well as their passive, self-adaptive performance.
Data availability statement
The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.
Author contributions
AD-B performed the FDTD simulations and NME performed FEM simulations. AD-B wrote the first draft of the manuscript. NME supervised the project. All authors contributed to the article and approved the submitted version.
Funding
This work was supported by startup funding from Chapman University.
Conflict of interest
The author(s) NME declared that they were an editorial board member of Frontiers, at the time of submission. This had no impact on the peer review process and the final decision.
The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Publisher’s note
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Keywords: radiative cooling, thermoregulation, transparent conducting oxides (TCOs), phase-change materials (PCM), metasurfaces, adaptive photonics
Citation: Didari-Bader A, Estakhri NM and Mohammadi Estakhri N (2023) Adaptive plasmonic metasurfaces for radiative cooling and passive thermoregulation. Front. Photonics 4:1193479. doi: 10.3389/fphot.2023.1193479
Received: 24 March 2023; Accepted: 01 June 2023;
Published: 30 June 2023.
Edited by:
Michele Celebrano, Polytechnic University of Milan, ItalyCopyright © 2023 Didari-Bader, Estakhri and Mohammadi Estakhri. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Nasim Mohammadi Estakhri, ZXN0YWtocmlAY2hhcG1hbi5lZHU=