Abstract
Active switching of near-field directivity, which is an essential functionality for compact integrated photonics and small optoelectronic elements, has been challenging due to small modulation depth and complicated fabrication methods for devices including active optical materials. Here, we theoretically and experimentally realize a nanoscale active directional switching of surface plasmon polaritons (SPPs) using a phase transition material for the first time. The SPP switching device with noticeable distinction is demonstrated based on the phase transition of vanadium dioxide (VO2) at the telecom wavelength. As the insulator-to-metal phase transition (IMT) of VO2 induces the large change of VO2 permittivity at telecom wavelengths, the plasmonic response of a nanoantenna made of VO2 can be largely tuned by external thermal stimuli. The VO2-insulator-metal (VIM) nanoantenna and its periodic array, the VIM metagrating, are suggested as optical switches. The directional power distinction ratio is designed to change from 8.13:1 to 1:10.56 by the IMT and it is experimentally verified that the ratio changes from 3.725:1 to 1:3.132 as the VIM metagratings are heated up to 90 °C. With an electro-thermally controllable configuration and an optimized resonant design, we expect potential applications of the active switching mechanism for integrable active plasmonic elements and reconfigurable imaging.
For the last few decades, much attention has been paid to optical technologies as integration density and signal delay have been the bottlenecks in the improvement of integrated electronic systems1,2,3. Optical components can offer a significantly high operating frequency with large bandwidth and low power dissipation1,2,4. However, the considerable size mismatch has been the obstacle of interconnecting optical circuit elements and conventional integrated electronic circuits. As a promising candidate for scaling down optical components, surface plasmon polaritons (SPPs) have attracted enormous interest owing to the capability of overcoming the diffraction limit of light5,6,7,8,9. Numerous plasmonic nanostructures guiding and modulating SPPs have been suggested for integrable ultracompact optical components. In the field of active plasmonics, many researchers have demonstrated tunable plasmonic modulators exploiting active optical materials and electro-optic nonlinear effects to develop integrable active plasmonic components10,11,12,13,14,15,16,17. Particularly, there have been lots of efforts on directive emission of SPPs18,19,20,21,22,23,24,25 and optical beams26,27,28 by using plasmonic nanoantennas for efficient launching or focusing of SPPs. Active modulation of SPP directivity is an essential functionality for building compact optoelectronic system and reducing size of integrated photonic system. However, as the directivity modulation mechanisms of these devices depend on external control of incident beams, including polarization state, phase difference of multiple beams, and incident angles, a bulky configuration with multiple optic components is inevitable18,19,21,22,23,24,25. Hence, demonstration of SPP directivity switching using active optical materials for nanoscale near-field modulation would be highly desirable and useful.
There are several candidates of active optical materials for nanoscale modulation of SPP signals. Indium tin oxide, a transparent conducting oxide material exhibiting plasmonic property in telecom wavelengths, has been widely utilized for field-effect plasmonic modulators10,11,16. Graphene, another rising candidate for electro-optically controllable plasmonic material, has been mainly utilized for active plasmonic waveguide modulators. However, devices based on these materials suffer from low modulation depth and low operating frequencies, respectively, so that they are not appropriate to be utilized for nanoscale directional switching actions of light in optical frequencies.
On the other hand, the insulator-to-metal transition (IMT), which is observed in vanadium dioxide (VO2), gives a promising route for active switching in the visible and infrared frequencies29,30,31. When VO2 is heated over the critical temperature about 68 °C, a VO2 thin film undergoes the IMT due to structural transformation from monoclinic to rutile lattice. Drastic changes in material properties follow the IMT in terms of electronic conductivity and optical permittivity. It has been reported that the real part of the VO2 permittivity varies from positive to negative value in optical frequencies as the VO2 phase changes from the insulator phase to the metal phase30,31. A large permittivity change of VO2 has attracted many research groups. Novel VO2-based plasmonic modulators for waveguide modes, tunable hot spot, and far-field scattering spectra controlled by external thermal, electrical, and optical stimuli have been suggested17,31,32,33,34,35,36,37,38,39. However, active directional switching of asymmetric SPP excitation using a phase transition material has not been reported yet to the best of our knowledge.
In this paper, we propose a novel reversible thermo-optical SPP switch that can change the direction of the asymmetrically excited SPPs. Power directivity of SPPs can be switched as VO2 slabs comprising nanoantennas undergo the phase transition induced by external heating. Computational and experimental results show that power distinction ratio of generated SPPs is switched according to the device temperature. The proposed structure allows SPPs to switch their direction without any modulation of incident light. We firstly analyze the SPP excitation characteristics of a symmetric VO2–insulator–metal (VIM) nanoantenna, which is a composite structure of VO2–SiO2–Au slabs, for the insulator phase and the metal phase, respectively. Then, we design an asymmetric VIM composite nanoantenna with an additional nanoslit in it (Fig. 1(a)) in order to tune the directional launching of SPPs on the backside boundary between the gold layer and the sapphire substrate. Furthermore, we propose and experimentally demonstrate a tunable metagrating (Fig. 1(b)) which is an array of the above-mentioned VIM nanoantennas having the period of backside SPP wavelength, for the sake of efficient SPP launching with high intensity.
Device Concepts and Design Principles
The permittivities of VO2 in both insulator and metal phases are very sensitive to the deposition method or process of the VO2 film in general. Hence, ellipsometry measurements on a VO2 film both below and above the phase transition temperature (~68 °C) are the essential step for the design of VO2-included nanostructures. Considering high optical loss of VO2, the deposition thickness is chosen to be 50 nm. The measured spectra of real part permittivities in both insulator and metal phases in near-infrared wavelengths are shown in Fig. 2(a). Around the telecom wavelength, the real part of the VO2 permittivity changes its sign as the phase transition occurs and the difference of the permittivities for two phases is fairly large. To effectively utilize large variation of induced dipole moments on the VO2 slab, a working wavelength is set to be 1650 nm. Using the measured optical properties, the SPP launching characteristics of the VIM nanoantenna are analyzed according to the VO2 phase. A SiO2 layer of 150 nm thickness is deposited between the 50 nm-thick gold film and the 50 nm-thick VO2 slab to avoid direct contact between metallic VO2 and gold. If the VO2 slab is inserted within the gold film, coupling efficiency of the VIM nanoantenna is reduced significantly when VO2 is in the metal phase. The thickness of the SiO2 slab is chosen not to be too thick so that scattering properties of launched backside SPPs are highly affected by the phase of the VO2 slab, which is located slightly above the gold film.
When the VIM nanoantenna is normally illuminated by a monochromatic laser with TM-polarization as depicted in Fig. 2(b), two SPP modes with different wavelengths are symmetrically excited on opposite sides of the gold film which is shown in Fig. 2(c). The backside SPP mode is investigated between the two modes in order to separate output signals from the input beam more clearly. IMT-induced variations of backside SPPs in terms of optical phase and amplitude are highly dependent on the width of the VIM nanoantenna as described in Fig. 2(d). In particular, a large amount of variation occurs at two values of antenna width (wvo2), 600 nm and 750 nm, which are marked by dashed lines denoted as A and B in Fig. 2(d), respectively. When the VIM width is about 750 nm, phase of the backside SPPs changes by nearly 80° while the amplitude does not change significantly owing to the IMT. It implies that the nanoantenna is suitable for directional switching of SPPs. On the other hand, when wvo2 is about 600 nm, the power of the launched SPPs in each phase differs by roughly 10.6 times. Hence, this condition can be useful for on-off switch of backside SPP launching rather than transmissive directional SPP switching. That is, the VIM antenna with the width of around 750 nm is adequate for directional switching of SPPs.
Based on the analysis of the symmetric case in the previous section, the VIM nanoantenna for asymmetric SPP launching is designed. The schematic illustration of the structure is described in Fig. 3(a). A nanoslit in the VIM nanoantenna breaks the symmetry of the structure so that angular distributions of backside SPP scattering patterns show asymmetric directivities. As the 0th-order far-field transmission is dominant in case of the symmetric VIM (see part 1 of Supplementary Information), asymmetric insertion of the nanoslit into the symmetric VIM can be understood as a small perturbation in the spatial permittivity profile of the VIM structure40. Hence, it can significantly change the scattering patterns of the backside SPPs while the 0th-order transmission, the main stream of the forward scattering, is not perturbed that much. Width (wslit) and position (xslit) of the nanoslits are optimized by parametric studies where the focused ion beam (FIB) milling resolution is taken into account with wvo2 fixed as 750 nm. In Fig. 3(b), angular spectra of the excited backside SPPs in the insulator and metal phases are depicted when the antenna is optimized by parametric studies. The optimal values of wslit and xslit are 150 nm and 100 nm, respectively, which make distinction ratios of both phases similar (see part 2 of Supplementary Information). In the insulator phase, the power of the left-directed SPPs is 3.8 times larger than that of the right-directed ones. On the other hand, in the metal phase, the power of the right-directed SPPs is 8.81 times higher than that of the left-directed ones. It is also shown that the forward scattering is not much affected by the IMT of the VIM nanoantenna while backside SPPs are switched as expected (see part 1 of Supplementary Information).
Although a single asymmetric VIM nanoantenna can be utilized as a directional SPP coupler with thermo-optical switching functionality, SPP coupling efficiency of the single VIM nanoantenna, which is about 0.24%, is too low to be integrated into plasmonic systems and other applications. Moreover, it is not easy to verify the performance of the nanoantenna experimentally due to its low efficiency. Hence, we propose a more efficient directional SPP switch which we named as a VIM metagrating. As shown in Fig. 4(a), the proposed structure is a periodic array of asymmetric VIM nanoantennas with a period of 932 nm, which is equal to the wavelength of backside SPPs. Each VIM nanoantenna comprising the metagrating exhibits directional SPP launching characteristics in the insulator and metal phases.
Backside SPPs are basically launched by an additional momentum in the x-direction given by the period of the VIM metagrating, as described in Eq. 1. The positive first-order diffraction, denoted as m = 1 in Fig. 4(a), implies right-directed backside SPPs. The negative first-order diffraction, m = −1 in Fig. 4(a), implies left-directed backside SPPs. As a single asymmetric VIM antenna is designed to launch backside SPPs with the distinguished directivities in the insulator and the metal phases, the two first order diffractions, m = 1 and m = −1, by the VIM metgrating are suppressed in the insulator phase and the metal phase, respectively. Hence, the whole metagrating excites the 0th-order transmission and directional SPPs with opposite directivities in both insulator and metal phases. If directional distinction ratios and switching property of SPP power are preserved in similar levels compared to those of the single asymmetric VIM nanoantenna, higher SPP coupling efficiency can be achieved owing to larger geometric cross-section of the device compared to the single VIM nanoantenna. When wvo2, wslit, xslit, the period, and the number of the periodic VIM nanoantennas are 750 nm, 150 nm, 100 nm, 932 nm, and 7, the ratios of directionally launched SPP power are 8.13:1 and 1:10.56 in the insulator and metal phases, respectively. Figure 4(b–e), Ey and Abs(Hz) profiles in both phases, clearly show directional SPP launching characteristics with opposite directivities in both phases.
Experimental Results
The designed VIM metagrating SPP switch is fabricated through 5 steps; three material deposition steps and two FIB milling steps (see part 3 of Supplementary Information). As a result, in the middle of two regions with two outcoupler gratings, the VIM metagrating is formed with periodic arrangements of 7 asymmetric VIM nanoantennas with a period of 930 nm. SEM images of the final device are shown in Fig. 5(a–c). To verify directional launching and switching of SPPs experimentally, we utilize a microscopy setup using two outcoupler gratings22,41 (Fig. 5(d). A butterfly fiber laser with the wavelength of 1650 nm (Thorlabs, FPL1059S) is collimated and focused on the metagrating sample with a tight beam waist below 20 μm by using an objective lens. When a focused beam illuminates the sample, transmitted backside signals are gathered by another objective lens and imaged by two lenses and an NIR CCD. Firstly, we measure CCD images at room temperature. Then, the sample is heated over the phase transition temperature, 90 °C in this case, by using an attached electronic heater and a DC power supply. Finally, the sample is cooled down again to room temperature, and CCD images are measured again to check switching reversibility. The temperature of the sample is monitored by using an IR laser thermometer (Testo, 830-T1). When you see Fig. 6(a and b), the measured NIR CCD images in the insulator phase and the metal phase, clear bright spots at the positions where outcoupler gratings are located are seen at the right and left sides of the metagrating sample, respectively. It directly refers that the IMT of VO2 induces the directivity switching of asymmetrically launched backside SPPs. Also, when the sample is cooled from 90 °C to the room temperature, as shown in Fig. 6(c), position of bright outcoupled signal is reversed back to the position of the left outcoupler grating. Hence, it is verified that the directional launching and switching of SPPs are reversible according to the phase of VO2 retained in the metagrating. For quantitative analysis of the device performance, we plotted three cross-sectional intensities of transmitted and outcoupled SPP signals along the x-direction, Fig. 6(d–f). The distinction ratios of overall integrated SPP energies outcoupled from the left and the right gratings are 3.725:1, 1:3.132, and 2.713:1 in those cross-sectional intensity plots, Fig. 6(d–f). Distinction ratios of SPP powers are calculated considering common intensity offset level, 125, in Fig. 6(d–f).
Conclusion
In conclusion, we theoretically and experimentally demonstrate a reversible active switching of SPP directivity via thermally induced IMT of VO2. At first, the VIM nanoantenna is designed as a SPP switching element and then its periodic array, the VIM metagrating, is optimized for higher intensities of coupled SPP signals. In the final step, experimental demonstration of the VIM metagrating verifies that the IMT of a deep subwavelength-sized VO2-included nanoantenna is able to switch scattering directions of optical near-fields depending on the temperature. Moreover, it is verified that the switching action is reversible depending on the temperature of the sample. The efficiency of directional SPP launching and switching can be improved if the proposed mechanism is applied to optically resonant nanoantennas or reflection-type configurations rather than transmission type, with more elaborate lithography techniques. Moreover, by utilizing a resonant and reflective configuration, the number of VIM nanoantenna composing the VIM metagrating can be reduced for smaller footprint of the device. Our demonstration and novel idea would be meaningful as a proof-of-concept not only to researchers studying plasmonics but also to people developing various active devices for optical beam steering. The proposed novel directional switching mechanism using a phase transition material can be well integrated with conventional CMOS electronic circuits if the IMT of VO2 is controlled in electro-thermal manner within nanoscale. Furthermore, it also promises potential applications including integrated photonic systems, ultracompact thermo-optical sensors, near-field heat transporting devices, and various reconfigurable imaging systems.
Methods
Sample fabrication
The device was fabricated by three deposition methods and the FIB millings. First, a 150 nm-thick SiO2 layer was deposited on a c-plane sapphire (Al2O3) wafer by plasma enhanced chemical vapor deposition (Oxford instruments, PlasmaPro System 100). We used pulsed laser deposition (LAMBDA PHYSIK, COMPEX 205) with a KrF excimer laser at 248 nm42 for deposition of a 50 nm-thick VO2 film on the SiO2 layer. In the third step, two large background regions (45 μm by 15 μm) were formed using an FIB milling machine (FEI, Quanta 200 3D) by removing VO2 and SiO2 layers except for the VIM metagrating. Then, the periodic arrangement of the 7 asymmetric VIM nanoantennas was milled between those two background regions by utilizing high-resolution milling. Then, the 50 nm-thick gold film was deposited on the VO2 layer by using an e-beam evaporator (MUHAN, MHS-1800). In the last step, using the FIB machine again, two outcoupler gratings were formed 30 μm far from the metagrating to convert propagating backside SPPs into normally scattered far-fields on both left and right sides of the device. Also, the gold residues deposited on the VO2 slabs and inside the nanoslits were raked out.(see part 3 of Supporting Information)
Material properties
Optical properties of the 50 nm-thick VO2 film were measured by using a variable angle spectroscopic ellipsometer system (J. A. Woollam) in the insulator and metal phases. The measurements in each phase were made at room temperature and at 90 °C, which is high enough to induce homogeneous and stable IMT of the sample, respectively. We used the permittivity data of gold and silicon dioxide measured by Palik, E.D43. and Malitson, I. H44.
Additional Information
How to cite this article: Kim, S.-J. et al. Active directional switching of surface plasmon polaritons using a phase transition material. Sci. Rep. 7, 43723; doi: 10.1038/srep43723 (2017).
Publisher's note: Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary Material
Acknowledgments
This work was supported by National Research Foundation (NRF) of Korea (21A20131612805). We would like to express our deepest gratitude to Dr. Jum-Bum Park and Dr. Chang Hee Son for the fruitful discussions involving device fabrication and the help of the VO2 ellipsometry measurement with data analysis, respectively. Parts of this study have been performed using facilities at IBS Center for Correlated Electron Systems, Seoul National University and Electronics and Telecommunications Research Institute.
Footnotes
The authors declare no competing financial interests.
Author Contributions S.-J.K. conceived the ideas and performed the simulations. S.-J.K., H.Y., K.P., J.H., J.-G.Y., S.J., and S.-E.M. executed the experiments. S.-J.K. and H.Y. analyzed the results. S.-J.K., H.Y., J.K., K.L., J.S., and Y.W. Lee prepared the manuscript. B.L. initiated and supervised the project. All of the authors discussed the results and commented on the manuscript.
References
- Miller D. A. Rationale and challenges for optical interconnects to electronic chips. Proc. IEEE 88, 728–749 (2000). [Google Scholar]
- Vlasov Y. A., O’Boyle M., Hamann H. F. & McNab S. J. Active control of slow light on a chip with photonic crystal waveguides. Nature 438, 65–69 (2005). [DOI] [PubMed] [Google Scholar]
- Tominaga J. et al. Local plasmon photonic transistor. Appl. Phys. Lett. 78, 2417–2419 (2001). [Google Scholar]
- Ozbay E. Plasmonics: merging photonics and electronics at nanoscale dimensions. Science 311, 189–193 (2006). [DOI] [PubMed] [Google Scholar]
- Maier S. A. Plasmonics: Fundamentals and Applications (Springer, 2007). [Google Scholar]
- Novotny L. & Hecht B. Principle of Nano-Optics (Cambridge University, 2006). [Google Scholar]
- Barnes W. L., Dereux A. & Ebbesen T. W. Surface plasmon subwavelength optics. Nature 424, 824–830 (2003). [DOI] [PubMed] [Google Scholar]
- Ebbesen T. W., Lezec H. J., Ghaemi H. F., Thio T. & Wolff P. A. Extraordinary optical transmission through sub-wavelength hole arrays. Nature 391, 667–669 (1998). [Google Scholar]
- Atwater H. A. The promise of plasmonics. Sci. Am. 296, 56–62 (2007). [PubMed] [Google Scholar]
- Dionne J. A., Diest K., Sweatlock L. A. & Atwater H. A., PlasMOStor: a metal-oxide-Si field effect plasmonic modulator. Nano Lett. 9, 897–902 (2009). [DOI] [PubMed] [Google Scholar]
- Lee H. W. et al. Nanoscale conducting oxide PlasMOStor. Nano Lett. 14, 6463–6468 (2014). [DOI] [PubMed] [Google Scholar]
- Melikyan A., Alloatti L., Muslija A., Hillerkuss D., Schindler P. C., Li J., Palmer R., Korn D., Muehlbrandt S., Van Thourhout D., Chen B., Dinu R., Sommer M., Koos C., Kohl M., Freude W. & Leuthold J. High-speed plasmonic phase modulators. Nat. Photon. 8, 229–233 (2014). [Google Scholar]
- Haffner C. et al. All-plasmonic Mach–Zehnder modulator enabling optical high-speed communication at the microscale. Nat. Photon. 9, 525–528 (2015). [Google Scholar]
- Liu M., Yin X., Ulin-Avila E., Geng B., Zentgraf T., Ju L., Wang F. & Zhang X. A graphene-based broadband optical modulator. Nature 474, 64–67 (2011). [DOI] [PubMed] [Google Scholar]
- Liu M. Xiaobo Y. & Zhang X., Double-layer graphene optical modulator. Nano Lett. 12, 1482–1485 (2012). [DOI] [PubMed] [Google Scholar]
- Sorger V. J., Lanzillotti-Kimura N. D., Ma R. M. & Zhang X., Ultra-compact silicon nanophotonic modulator with broadband response. Nanophotonics 1, 17–22 (2012). [Google Scholar]
- Joushaghani A., Kruger B. A., Paradis S., Alain D., Aitchison J. S. & Poon J. K., Sub-volt broadband hybrid plasmonic-vanadium dioxide switches. Appl. Phys. Lett., 102, 061101 (2013). [Google Scholar]
- Li X., Tan Q., Bai B. & Jin G. Experimental demonstration of tunable directional excitation of surface plasmon polaritons with a subwavelength metallic double slit. Appl. Phys. Lett. 98, 251109 (2011). [Google Scholar]
- Lee S.-Y., Lee I.-M., Park J., Oh S., Lee W., Kim K.-Y. & Lee B. Role of magnetic induction currents in nanoslit excitation of surface plasmon polaritons. Phys. Rev. Lett. 108, 213907 (2012). [DOI] [PubMed] [Google Scholar]
- Liu Y., Palomba S., Park Y., Zentgraf T., Yin X. & Zhang X. Compact magnetic antennas for directional excitation of surface plasmons. Nano Lett. 12, 4853–4858 (2012). [DOI] [PubMed] [Google Scholar]
- Lin J. Mueller J. B., Wang Q., Yuan G., Antoniou N., Yuan X. C. & Capasso F. Polarization-controlled tunable directional coupling of surface plasmon polaritons. Science 340, 331–334 (2013). [DOI] [PubMed] [Google Scholar]
- Huang L., Chen X., Bai B., Tan Q., Jin G., Zentgraf T. & Zhang S. Helicity dependent directional surface plasmon polariton excitation using a metasurface with interfacial phase discontinuity. Light Sci. Appl. 2, e70 (2013). [Google Scholar]
- Lee S.-Y., Lee W., Lee Y., Won J. Y., Kim J., Lee I. M. & Lee B. Phase‐controlled directional switching of surface plasmon polaritons via beam interference. Laser Photon. Rev. 7, 273–279 (2013). [Google Scholar]
- Liu T., Shen Y., Shin W., Zhu Q., Fan S. & Jin C. Dislocated double-layer metal gratings: an efficient unidirectional coupler. Nano Lett. 14, 3848–3854 (2014). [DOI] [PubMed] [Google Scholar]
- Pors A., Nielsen M. G., Bernardin T., Weeber J. C. & Bozhevolnyi S. I. Efficient unidirectional polarization-controlled excitation of surface plasmon polaritons. Light Sci. Appl. 3, e197 (2014). [Google Scholar]
- Lezec H. J., Degiron A., Devaux E., Linke R. A., Martin-Moreno L., Garcia-Vidal F. J. & Ebbesen T. W. Beaming light from a subwavelength aperture. Science 297, 820–822 (2002). [DOI] [PubMed] [Google Scholar]
- Martin-Moreno L., Garcia-Vidal F. J.,. Lezec H. J., Degiron A. & Ebbesen T. W., Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations. Phys. Rev. Lett. 90, 167401 (2003). [DOI] [PubMed] [Google Scholar]
- Lee B., Kim S., Kim H. & Lim Y. The use of plasmonics in light beaming and focusing. Prog. Quant. Electron. 34, 47–87 (2010). [Google Scholar]
- Stefanovich G., Pergament A. & Stefanovich D., Electrical switching and Mott transition in VO2. J. Phys. Condens. Matter 12, 8837–8845 (2000). [Google Scholar]
- Dicken M. J. Active oxide nanophotonics. Ph.D. Thesis, California Institute of Technology (2009).
- Dicken M. J. Aydin K., Pryce I. M., Sweatlock L. A., Boyd E. M., Walavalkar S. Ma J. & Atwater H. A., Frequency tunable near-infrared metamaterials based on VO 2 phase transition. Opt. Express 17, 18330–18339 (2009). [DOI] [PubMed] [Google Scholar]
- Briggs R. M., Pryce I. M. & Atwater H. A. Compact silicon photonic waveguide modulator based on the vanadium dioxide metal-insulator phase transition. Opt. Express 18, 11192–11201 (2010). [DOI] [PubMed] [Google Scholar]
- Park J.-B., Lee I.-M., Lee S.-Y., Kim K., Choi D., Song E. Y. & Lee B., Tunable subwavelength hot spot of dipole nanostructure based on VO2 phase transition. Opt. Express 21, 15205–15213 (2013). [DOI] [PubMed] [Google Scholar]
- Appavoo K. & Haglund R. F. Jr Polarization selective phase-change nanomodulator. Sci. Rep. 4, 6771 (2014). [DOI] [PMC free article] [PubMed] [Google Scholar]
- Earl S. K., James T. D., Davis T. J., McCallum J. C., Marvel R. E., Haglund R. F. & Roberts A. Tunable optical antennas enabled by the phase transition in vanadium dioxide. Opt. Express 21, 27503–27508 (2013). [DOI] [PubMed] [Google Scholar]
- Rensberg J., Zhang S., Zhou Y., McLeod A. S., Schwarz C., Goldflam M. & Basov D. N., Active optical metasurfaces based on defect-engineered phase-transition materials. Nano Lett. 16, 1050–1055 (2016). [DOI] [PubMed] [Google Scholar]
- Jeong J., Joushaghani A., Paradis S., Alain D. & Poon J. K. Electrically controllable extraordinary optical transmission in gold gratings on vanadium dioxide. Opt. Lett. 40, 4408–4411 (2015). [DOI] [PubMed] [Google Scholar]
- Lei D. Y., Appavoo K., Ligmajer F., Sonnefraud Y., Haglund R. F. Jr & Maier S. A. Optically-triggered nanoscale memory effect in a hybrid plasmonic-phase changing nanostructure. ACS photon. 2, 1306–1313 (2015). [Google Scholar]
- Cueff S., Li D., Zhou Y., Wong F. J., Kurvits J. A., Ramanathan S. & Zia R. Dynamic control of light emission faster than the lifetime limit using VO2 phase-change. Nat. Commun. 6, 8636 (2015). [DOI] [PMC free article] [PubMed] [Google Scholar]
- Raman A. & Fan S. Perturbation theory for plasmonic modulation and sensing. Phys. Rev. B 83, 205131 (2011). [Google Scholar]
- Mühlenbernd H., Georgi P., Pholchai N., Huang L., Li G., Zhang S. & Zentgraf T. Amplitude-and phase-controlled surface plasmon polariton excitation with metasurfaces. ACS Photon. 3, 124–129 (2016). [Google Scholar]
- Kim H.-T., Chae B.-G., Youn D.-H., Maeing S.-L., Kim G., Kang K.-Y. & Lim Y.-S. Mechanism and observation of Mott transition in VO2-based two- and three-terminal devices. New J. Phys. 6, 52–70 (2004). [Google Scholar]
- Palik E. D. Handbook of optical constants of solids (Academic press, 1998). [Google Scholar]
- Malitson I. H. Interspecimen Comparison of the Refractive Index of Fused Silica. J. Opt. Soc. Am. 55, 1205–1208 (1965). [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.