Spatio-temporal coupled mode theory for nonlocal metasurfaces

Adam Overvig; Sander A. Mann; Andrea Alù

doi:10.1038/s41377-023-01350-9

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Spatio-temporal coupled mode theory for nonlocal metasurfaces

Original Articles

- Spatio-temporal coupled mode theory for nonlocal metasurfaces
- Spatio-temporal coupled mode theory for nonlocal metasurfaces
- LSA 2024年13卷第2期页码：267-282
- Affiliations：
  
  1.Photonics Initiative, Advanced Science Research Center, City University of New York, New York, NY 10031, USA
  2.Physics Program, Graduate Center of the City University of New York, New York, NY 10016, USA
- Author bio：
  
  Andrea Alù (aalu@gc.cuny.edu)
- Funds：
- DOI：10.1038/s41377-023-01350-9
  中图分类号：
- 收稿日期：2023-08-07，
  
  修回日期：2023-11-18，
  
  录用日期：2023-11-29，
  
  网络出版日期：2024-01-24，
  
  纸质出版日期：2024-02-29
- Accepted：
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Spatio-temporal coupled mode theory for nonlocal metasurfaces[J]. LSA, 2024,13(2):267-282.

Overvig, A., Mann, S. A. & Alù, A. Spatio-temporal coupled mode theory for nonlocal metasurfaces. Light: Science & Applications, 13, 267-282 (2024).
Spatio-temporal coupled mode theory for nonlocal metasurfaces[J]. LSA, 2024,13(2):267-282. DOI： 10.1038/s41377-023-01350-9.

Overvig, A., Mann, S. A. & Alù, A. Spatio-temporal coupled mode theory for nonlocal metasurfaces. Light: Science & Applications, 13, 267-282 (2024). DOI： 10.1038/s41377-023-01350-9.

摘要

Abstract

Diffractive nonlocal metasurfaces have recently opened a broad range of exciting developments in nanophotonics research and applications

leveraging spatially extended—yet locally patterned—resonant modes to control light with new degrees of freedom. While conventional grating responses are elegantly captured by temporal coupled mode theory

current approaches are not well equipped to capture the arbitrary spatial response observed in the nascent field of nonlocal metasurfaces. Here

we introduce spatio-temporal coupled mode theory (STCMT)

capable of elegantly capturing the key features of the resonant response of wavefront-shaping nonlocal metasurfaces. This framework can quantitatively guide nonlocal metasurface design while maintaining compatibility with local metasurface frameworks

making it a powerful tool to rationally design and optimize a broad class of ultrathin optical components. We validate this STCMT framework against full-wave simulations of various nonlocal metasurfaces

demonstrating that this tool offers a powerful semi-analytical framework to understand and model the physics and functionality of these devices

without the need for computationally intense full-wave simulations. We also discuss how this model may shed physical insights into nonlocal phenomena in photonics and the functionality of the resulting devices. As a relevant example

we showcase STCMT's flexibility by applying it to study and rapidly prototype nonlocal metasurfaces that spatially shape thermal emission.

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references

Haus, H. A. Waves and Fields in Optoelectronics (Prentice-Hall, 1984).

Haus, H. A. & Huang, W. Coupled-mode theory. Proc. IEEE 79 , 1505–18 (1991)..

Paddon, P. & Young, J. F. Two-dimensional vector-coupled-mode theory for textured planar waveguides. Phys. Rev. B 61 , 2090–101 (2000)..

Johnson, S. G. et al. Adiabatic theorem and continuouscoupled-mode theory for efficient taper transitions in photonic crystals. Phys. Rev. E 66 , 066608 (2002)..

Fan, S., Suh, W. & Joannopoulos, J. D. Temporal coupled-mode theory for the Fano resonance in optical resonators. J. Optical Soc. Am. A 20 , 569–73 (2003)..

Suh, W., Wang, Z. & Fan, S. H. Temporal co upled-mode theory and the presence of non orthogonal modes in lossless multimode cavities. IEEE J. Quantum Electron. 40 , 1511–8 (2004)..

Ruan, Z. C. & Fan, S. H. Temporal coupled-mode theory for Fano resonance in light scattering by a single obstacle. J. Phys. Chem. C 114 , 7324–9 (2010)..

Sweeney, W. R., Hsu, C. W. & Stone, A. D. Theory of reflectionless scattering modes. Phys. Rev. A 102 , 063511 (2020)..

Verslegers, L. et al. From electromagnetically induced transparency to superscattering with a single structure: a coupled-mode theory for doubly resonant structures. Phys. Rev. Lett. 108 , 083902 (2012)..

Zhou, M. et al. Inverse design of metasurfaces based on coupled-mode theory and adjoint optimization. ACS Photonics 8 , 2265–73 (2021)..

Alpeggiani, F. et al. Quasinormal-mode expansion of the scattering matrix. Phys. Rev. X 7 , 021035 (2017)..

Landau, L. D. & Lifshitz, E. M. Electrodynamics of Continuous Media 2nd edn. (Butterworth-Heinemann, 1984).

Agarwal, G. S., Pattanayak, D. N. & Wolf, E. Electromagnetic fields in spatially dispersive media. Phys. Rev. B 10 , 1447–75 (1974)..

Lemarchand, F. et al. Study of the resonant behaviour of waveguide gratings: increasing the angular tolerance of guided-mode filters. J. Opt. A: Pure Appl. Opt. 1 , 545–51 (1999)..

Magnusson, R., Shokooh-Saremi, M. & Wang, X. Dispersion engineering with leaky mode resonant photonic lattices. Opt. Express 18 , 108–16 (2010)..

Nguyen, H. S. et al. Symmetry breaking in photonic crystals: on-demand dispersion from flatband to Dirac cones. Phys. Rev. Lett. 120 , 066102 (2018)..

Monticone, F., Valagiannopoulos, C. A. & Alù, A. Parity-time symmetric nonlocal metasurfaces: all-angle negative refraction and volumetric imaging. Phys. Rev. X 6 , 041018 (2016)..

Silva, A. et al. Performing mathematical operations with metamaterials. Science 343 , 160–3 (2014)..

Kwon, H. et al. Nonlocal metasurfaces for optical signal processing. Phys. Rev. Lett. 121 , 173004 (2018)..

Zhou, Y. et al. Flat optics for image differentiation. Nat. Photonics 14 , 316–23 (2020)..

Tittl, A. et al. Imaging-based molecular barcoding with pixelated dielectric metasurfaces. Science 360 , 1105–9 (2018)..

Hong, J. et al. Nonlocal metasurface for circularly polarized light detection. Optica 10 , 134–41 (2023)..

Song, J. H. et al. Nonlocal metasurfaces for spectrally decoupled wavefront manipulation and eye tracking. Nat. Nanotechnol. 16 , 1224–30 (2021)..

Guo, C., Wang, H. W. & Fan, S. H. Squeeze free space with nonlocal flat optics. Optica 7 , 1133–8 (2020)..

Reshef, O. et al. An optic to replace space and its application towards ultra-thin imaging systems. Nat. Commun. 12 , 3512 (2021)..

Shastri, K. & Monticone, F. Nonlocal flat optics. Nat. Photonics 17 , 36–47 (2023)..

Barton, D. Ⅲ et al. High- Q nanophotonics: sculpting wavefronts with slow light. Nanophotonics 10 , 83–88 (2020)..

Overvig, A. & Alù, A. Diffractive nonlocal metasurfaces. Laser Photonics Rev. 16 , 2100633 (2022)..

Chai, R. H. et al. Emerging planar nanostructures involving both local and nonlocal modes. ACS Photonics 10 , 2031–44 (2023)..

Miller, D. A. B. Why optics needs thickness. Science 379 , 41–45 (2023)..

Overvig, A. C., Malek, S. C. & Yu, N. Multifunctional nonlocal metasurfaces. Phys. Rev. Lett. 125 , 017402 (2020)..

Lawrence, M. et al. High quality factor phase gradient metasurfaces. Nat. Nanotechnol. 15 , 956–61 (2020)..

Overvig, A., Yu, N. F. & Alù, A. Chiral quasi-bound sta tes in the continuum. Phys. Rev. Lett. 126 , 073001 (2021)..

Overvig, A. C. & Alù, A. Wavefront-selective fano resonant metasurfaces. Adv. Photonics 3 , 026002 (2021)..

Overvig, A. C., Mann, S. A. & Alù, A. Thermal metasurfaces: complete emission control by combining local and nonlocal light-matter interactions. Phys. Rev. X 11 , 021050 (2021)..

Overvig, A. C. et al. Observation of a polarization-agnostic geometric phase in nonlocal metasurfaces. Preprint at https://arXiv.org/abs/2302.13215 https://arXiv.org/abs/2302.13215 (2023).

Malek, S. C. et al. Multifunctional resonant wavefront-shaping meta-optics based on multilayer and multi-perturbation nonlocal metasurfaces. Light Sci. Appl. 11 , 246 (2022)..

Lin, L. et al. Universal narrowband wavefront shaping with high quality factor meta-reflect-arrays. Nano Lett. 23 , 1355–62 (2023)..

Hail, C. U. et al. High quality factor metasurfaces for two-dimensional wavefront manipulation. Preprint at https://arxiv.org/abs/2212.05647 https://arxiv.org/abs/2212.05647 (2022).

Koshelev, K. et al. Asymmetric metasurfaces with high- Q resonances governed by bound states in the continuum. Phys. Rev. Lett. 121 , 193903 (2018)..

Dana, B., Lobachinsky, L. & Bahabad, A. Spatiotemporal coupled-mode theory in dispersive media under a dynamic modulation. Opt. Commun. 324 , 165–7 (2014)..

Bykov, D. A. & Doskolovich, L. L. Spatiotemporal coupled-mode theory of guided mode resonant gratings. Opt. Express 23 , 19234–41 (2015)..

Yu, N. F. et al. Light propagation with phase discontinuities: generalized laws of reflection and refraction. Science 334 , 333–7 (2011)..

Nolen, J. R. et al. Arbitrarily polarized and unidirectional emission from thermal metasurfaces. Preprint at https://arxiv.org/abs/2301.12301 https://arxiv.org/abs/2301.12301 (2023).

Huang, H. Q. et al. Leaky-wave metasurfaces for integrated photonics. Nat. Nanotechnol. 18 , 580–8 (2023)..

Miller, D. A. B. Waves modes, communications, and optics: a tutorial. Adv. Opt. Photonics 11 , 679–825 (2019)..

Miller, D. A. B., Zhu, L. X. & Fan, S. H. Universal modal radiation laws for all thermal emitters. Proc. Natl Acad. Sci. USA 114 , 4336–41 (2017)..

Wolf, E. Introduction to the Theory of Coherence and Polarization of Light (Cambridge University Press, 2007).

Mann, S. A., Sounas, D. L. & Alù, A. Nonreciprocal cavities and the time-bandwidth limit. Optica 6 , 104–10 (2019)..

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