Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Article
  • Published:

A broadband achromatic metalens in the visible

Abstract

Metalenses consist of an array of optical nanoantennas on a surface capable of manipulating the properties of an incoming light wavefront. Various flat optical components, such as polarizers, optical imaging encoders, tunable phase modulators and a retroreflector, have been demonstrated using a metalens design. An open issue, especially problematic for colour imaging and display applications, is the correction of chromatic aberration, an intrinsic effect originating from the specific resonance and limited working bandwidth of each nanoantenna. As a result, no metalens has demonstrated full-colour imaging in the visible wavelength. Here, we show a design and fabrication that consists of GaN-based integrated-resonant unit elements to achieve an achromatic metalens operating in the entire visible region in transmission mode. The focal length of our metalenses remains unchanged as the incident wavelength is varied from 400 to 660 nm, demonstrating complete elimination of chromatic aberration at about 49% bandwidth of the central working wavelength. The average efficiency of a metalens with a numerical aperture of 0.106 is about 40% over the whole visible spectrum. We also show some examples of full-colour imaging based on this design.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Fig. 1: IRUEs for a broadband achromatic metalens in the visible light region.
Fig. 2: Experimental verification of achromatic metalenses.
Fig. 3: Performance of broadband achromatic metalens.
Fig. 4: Imaging using a visible achromatic metalens with NA = 0.106.

Similar content being viewed by others

References

  1. Luo, X. G. Principles of electromagnetic waves in metasurfaces. Sci. China Phys. Mech. Astron. 58, 594201 (2015).

    Article  Google Scholar 

  2. Pu, M. et al. Catenary optics for achromatic generation of perfect optical angular momentum. Sci. Adv. 1, e1500396 (2015).

    Article  Google Scholar 

  3. Hsiao, H.-H., Chu, C. H. & Tsai, D. P. Fundamentals and applications of metasurfaces. Small Methods 1, 1600064 (2017).

    Article  Google Scholar 

  4. Genevet, P., Capasso, F., Aieta, F., Khorasaninejad, M. & Devlin, R. Recent advances in planar optics: from plasmonic to dielectric metasurfaces. Optica 4, 139–152 (2017).

    Article  Google Scholar 

  5. Yu, N. & Capasso, F. Flat optics with designer metasurfaces. Nat. Mater. 13, 139–150 (2014).

    Article  Google Scholar 

  6. Wu, P. C. et al. Versatile polarization generation with an aluminum plasmonic metasurface. Nano Lett. 17, 445–452 (2017).

    Article  Google Scholar 

  7. Li, L. et al. Plasmonic polarization generator in well-routed beaming. Light. Sci. Appl. 4, e330 (2015).

    Article  Google Scholar 

  8. Wu, P. C. et al. Broadband wide-angle multifunctional polarization converter via liquid-metal-based metasurface. Adv. Opt. Mater. 5, 1600938 (2017).

    Article  Google Scholar 

  9. Li, X. et al. Multicolor 3D meta-holography by broadband plasmonic modulation. Sci. Adv. 2, e1601102 (2016).

    Article  Google Scholar 

  10. Huang, L. et al. Broadband hybrid holographic multiplexing with geometric metasurfaces. Adv. Mater. 27, 6444–6449 (2015).

    Article  Google Scholar 

  11. Huang, Y.-W. et al. Aluminum plasmonic multicolor meta-hologram. Nano Lett. 15, 3122–3127 (2015).

    Article  Google Scholar 

  12. Wu, P. C., Papasimakis, N. & Tsai, D. P. Self-affine graphene metasurfaces for tunable broadband absorption. Phy. Rev. Appl. 6, 044019 (2016).

    Article  Google Scholar 

  13. Sherrott, M. C. et al. Experimental demonstration of >230° phase modulation in gate-tunable graphene–gold reconfigurable mid-infrared metasurfaces. Nano Lett. 17, 3027–3034 (2017).

    Article  Google Scholar 

  14. Thyagarajan, K., Sokhoyan, R., Zornberg, L. & Atwater, H. A. Metasurfaces: millivolt modulation of plasmonic metasurface optical response via ionic conductance. Adv. Mater. 29, 1701044 (2017).

    Article  Google Scholar 

  15. Huang, Y.-W. et al. Gate-tunable conducting oxide metasurfaces. Nano Lett. 16, 5319–5325 (2016).

    Article  Google Scholar 

  16. Arbabi, A., Arbabi, E., Horie, Y., Kamali, S. M. & Faraon, A. Planar metasurface retroreflector. Nat. Photon. 11, 415–420 (2017).

    Article  Google Scholar 

  17. Luo, X. & Ishihara, T. Surface plasmon resonant interference nanolithography technique. Appl. Phys. Lett. 84, 4780–4782 (2004).

    Article  Google Scholar 

  18. Chen, B. H. et al. GaN metalens for pixel-level full-color routing at visible light. Nano Lett. 17, 6345–6352 (2017).

    Article  Google Scholar 

  19. Arbabi, A., Horie, Y., Bagheri, M. & Faraon, A. Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission. Nat. Nanotech. 10, 937–943 (2015).

    Article  Google Scholar 

  20. Khorasaninejad, M. et al. Metalenses at visible wavelengths: diffraction-limited focusing and subwavelength resolution imaging. Science 352, 1190–1194 (2016).

    Article  Google Scholar 

  21. Khorasaninejad, M. et al. Achromatic metasurface lens at telecommunication wavelengths. Nano Lett. 15, 5358–5362 (2015).

    Article  Google Scholar 

  22. Aieta, F., Kats, M. A., Genevet, P. & Capasso, F. Multiwavelength achromatic metasurfaces by dispersive phase compensation. Science 347, 1342–1345 (2015).

    Article  Google Scholar 

  23. Avayu, O., Almeida, E., Prior, Y. & Ellenbogen, T. Composite functional metasurfaces for multispectral achromatic optics. Nat. Commun. 8, 14992 (2017).

    Article  Google Scholar 

  24. Hu, J., Liu, C.-H., Ren, X., Lauhon, L. J. & Odom, T. W. Plasmonic lattice lenses for multiwavelength achromatic focusing. ACS Nano 10, 10275–10282 (2016).

    Article  Google Scholar 

  25. Khorasaninejad, M. et al. Achromatic metalens over 60 nm bandwidth in the visible and metalens with reverse chromatic dispersion. Nano Lett. 17, 1819–1824 (2017).

    Article  Google Scholar 

  26. Arbabi, E., Arbabi, A., Kamali, S. M., Horie, Y. & Faraon, A. Controlling the sign of chromatic dispersion in diffractive optics with dielectric metasurfaces. Optica 4, 625–632 (2017).

    Article  Google Scholar 

  27. Wang, S. et al. Broadband achromatic optical metasurface devices. Nat. Commun. 8, 187 (2017).

    Article  Google Scholar 

  28. Khorasaninejad, M. et al. Multispectral chiral imaging with a metalens. Nano Lett. 16, 4595–4600 (2016).

    Article  Google Scholar 

  29. Khorasaninejad, M., Ambrosio, A., Kanhaiya, P. & Capasso, F. Broadband and chiral binary dielectric meta-holograms. Sci. Adv. 2, e1501258 (2016).

    Article  Google Scholar 

  30. Hentschel, M., Weiss, T., Bagheri, S. & Giessen, H. Babinet to the half: coupling of solid and inverse plasmonic structures. Nano Lett. 13, 4428–4433 (2013).

    Article  Google Scholar 

  31. Wen, D. et al. Metasurface device with helicity-dependent functionality. Adv. Opt. Mater. 4, 321–327 (2016).

    Article  Google Scholar 

  32. Zheng, G. et al. Metasurface holograms reaching 80% efficiency. Nat. Nanotech. 10, 308–312 (2015).

    Article  Google Scholar 

  33. Kamali, S. M., Arbabi, A., Arbabi, E., Horie, Y. & Faraon, A. Decoupling optical function and geometrical form using conformal flexible dielectric metasurfaces. Nat. Commun. 7, 11618 (2016).

    Article  Google Scholar 

  34. Arbabi, A., Horie, Y., Ball, A. J., Bagheri, M. & Faraon, A. Subwavelength-thick lenses with high numerical apertures and large efficiency based on high-contrast transmitarrays. Nat. Commun. 6, 7069 (2015).

    Article  Google Scholar 

  35. Wang, P., Mohammad, N. & Menon, R. Chromatic-aberration-corrected diffractive lenses for ultra-broadband focusing. Sci. Rep. 6, 21545 (2016).

    Article  Google Scholar 

  36. Li, Y. et al. Achromatic flat optical components via compensation between structure and material dispersions. Sci. Rep. 6, 19885 (2016).

    Article  Google Scholar 

  37. Devlin, R. C., Khorasaninejad, M., Chen, W. T., Oh, J. & Capasso, F. Broadband high-efficiency dielectric metasurfaces for the visible spectrum. Proc. Natl. Acad. Sci. USA 113, 10473–10478 (2016).

    Article  Google Scholar 

  38. Goldys, E. M. et al. Analysis of the red optical emission in cubic GaN grown by molecular-beam epitaxy. Phys. Rev. B 60, 5464–5469 (1999).

    Article  Google Scholar 

  39. Ng, R. et al. Light Field Photography with a Hand-Held Plenoptic Camera Stanford University Computer Science Tech Report CSTR 2005-02 (Stanford Univ., 2005).

Download references

Acknowledgements

The authors acknowledge financial support from The National Key R&D Program of China (2017YFA0303700, 2016YFA0202103), National Natural Science Foundation of China (no. 11674167, 11621091, 11774164, 11322439), Ministry of Science and Technology, Taiwan (grant no. MOST-106-2745-M-002-003-ASP) and Academia Sinica (grant no. AS-103-TP-A06). T.L. thanks the support from Dengfeng Project B of Nanjing University. The authors are also grateful to the National Center for Theoretical Sciences, NEMS Research Center of National Taiwan University, National Center for High-Performance Computing, Taiwan, and Research Center for Applied Sciences, Academia Sinica, Taiwan for their support.

Author information

Authors and Affiliations

Authors

Contributions

S.W. and P.C.W. developed the theoretical aspects, performed the numerical design, optical measurement and data analysis, and wrote the manuscript. V.-C.S. performed the sample preparation. Y.-C.L., M.-K.C. and H.Y.K. built up the optical system for measurement. B.H.C., Y.H.C. and T.-T.H. performed the numerical simulation and data analysis. J.-H.W., R.-M.L. and C.-H.K. provided GaN film and performed the sample preparation. T.L., Z.W. and S.Z. organized the project, designed experiments, analysed the results and prepared the manuscripts. D.P.T. organized the project, designed and developed the theoretical model, numerical design and optical measurement, analysed the results and prepared the manuscript. All authors discussed the results and commented on the manuscript.

Corresponding author

Correspondence to Din Ping Tsai.

Ethics declarations

Competing interests

The authors declare no competing financial interests.

Additional information

Publisher’s note: Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary information

Supplementary Information

Supplementary Figures 1–9 and Supplementary Tables 1–2.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, S., Wu, P.C., Su, VC. et al. A broadband achromatic metalens in the visible. Nature Nanotech 13, 227–232 (2018). https://doi.org/10.1038/s41565-017-0052-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/s41565-017-0052-4

This article is cited by

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing