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REVIEW 3 major objections 3 minor 63 references

A hybrid BTO/TiO2 metasurface simultaneously delivers ~0.020 V^-1 modulation efficiency and ~0.8 GHz speed in a 0.3 mm aperture.

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2026-08-04 00:48 UTC pith:QAAU7XOM

load-bearing objection A genuinely useful hybrid BTO/TiO2 metasurface with a directly measured GHz bandwidth; but the flagship 0.020 V^-1 efficiency is inferred, not measured, so the paper needs revision before the headline numbers can be taken at face value. the 3 major comments →

arxiv 2608.00286 v1 pith:QAAU7XOM submitted 2026-07-31 physics.optics cond-mat.mtrl-sci

Hybrid BaTiO3/TiO2 Metasurface for Efficient Gigahertz-Speed Free-Space Electro-Optic Modulation

Zhongpeng Sun , Kerolos M. A. Yousef , Michael Domm , Agham Posadas , Xudong Li , Marcus Ossiander , Maryna L. Meretska , Yiwei Ju
show 8 more authors
Isabel Barth Jason Tischler Theodore P. Letsou Moaz Waqar Amirhassan Shams-Ansari Xiaoqing Pan Alexander A. Demkov Federico Capasso
This is my paper
classification physics.optics cond-mat.mtrl-sci
keywords barium titanateelectro-optic modulationmetasurfaceguided-mode resonancefree-space opticsPockels effectRF sputteringtitanium dioxide
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper reports a free-space electro-optic modulator that breaks the usual trade-off between modulation efficiency, speed, and aperture. It combines a continuous, RF-sputtered barium titanate (BTO) film with a TiO2 metasurface and gold electrodes, so the optical resonance is concentrated in the BTO while the applied voltage drops almost entirely across the active region. A 0.3 mm by 0.3 mm device achieves a transmittance modulation of about 0.020 per volt and a -3 dB bandwidth of about 0.8 GHz, with an extracted effective Pockels coefficient around 151 pm/V. If this holds, it means scalable, large-aperture, gigahertz-speed free-space modulators are practical without exotic materials or extreme nanofabrication.

Core claim

The central claim is that a hybrid BTO/TiO2 metasurface can achieve high modulation efficiency, gigahertz speed, and a large aperture simultaneously. The key result is a device with a 0.3 mm x 0.3 mm metasurface showing a transmittance modulation efficiency of ~0.020 V^-1 and a -3 dB electro-optic bandwidth of ~0.8 GHz, with an effective Pockels coefficient of ~151 pm/V for the BTO. The authors argue this is enabled by patterning the metasurface in TiO2 on an unetched BTO layer, so the BTO remains a continuous high-permittivity slab that efficiently transmits the driving field while the guided-mode resonance confines about 80% of the optical energy in the BTO. They present this as a scalable

What carries the argument

The central mechanism is a guided-mode resonance in a TiO2 nanopillar array sitting on a continuous BTO film, with gold interdigitated electrodes applying the driving field. Because the BTO layer is unpatterned and has very high permittivity, the full applied voltage is dropped across a nearly uniform, x-directed field in the active region, while the resonance concentrates light in the same BTO volume. The overlap of optical field, static field, and active material converts a small voltage-induced index change into a measurable resonance shift and transmittance modulation.

Load-bearing premise

The extracted efficiency and Pockels coefficient assume that the static electric field in the BTO active region is uniform, purely x-directed, and equal to the simulated value of 6.92 V/µm at 50 V, which depends on a BTO permittivity tensor taken from a materials library rather than measured on this specific film.

What would settle it

Measure the BTO film's actual in-plane permittivity and the true static field (for example, by capacitance measurements or by an independent interferometric measurement of the electro-optic phase shift) and compare the resulting Pockels coefficient with the extracted 151 pm/V. If the real field deviates substantially from the simulated EDC, the extracted coefficients and the stated efficiency would shift by the same factor.

Watch this falsifier. Get emailed when new claim-graph text bears on it.

If this is right

  • Free-space electro-optic modulators can combine a large aperture, high efficiency, and gigahertz speed in one device, rather than sacrificing one for the others.
  • RF-magnetron-sputtered BTO, which is scalable and low-cost compared with molecular-beam epitaxy, can provide Pockels coefficients competitive with much more expensive films.
  • The 0.3 mm x 0.3 mm aperture is sufficient for practical free-space beams, and reducing the device capacitance could push the bandwidth well beyond 10 GHz while keeping most of the efficiency.
  • The same hybrid approach can be extended to pixelated and phase-modulation devices, potentially enabling gigahertz-speed spatial light modulators.
  • Ferroelectric poling and a moderate DC bias are needed to stabilize the response, but the measured coercive field of ~2.8 V/µm makes stable operation practical.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The architecture's core insight is generic: leave the electro-optic material unpatterned and pattern a high-index, low-loss dielectric on top, so the active layer does double duty as the field-transport medium and the optical confinement layer. This could work with other electro-optic films, not just BTO and TiO2.
  • A testable extension is that replacing gold electrodes with low-optical-loss conductive materials, such as doped semiconductors, should raise the resonance contrast and therefore the modulation efficiency while keeping the RF response intact.
  • If the extracted ~151 pm/V reflects the true film quality, then the main remaining bottleneck for gigahertz free-space modulation is not the material but the electrode capacitance; AC-coupled termination and smaller pixels could make multi-gigahertz operation routine.
  • Because the resonance shift rate is roughly the same for the several resonances seen at small angles of incidence, the modulator should tolerate moderate beam divergence, which is relevant for realistic LiDAR and free-space communication beams.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

3 major / 3 minor

Summary. The paper reports a hybrid BaTiO3/TiO2 metasurface electro-optic modulator. A continuous RF-sputtered BTO film is left unetched, while TiO2 nanopillars and gold interdigitated electrodes are patterned on top. The authors claim that a 0.3 mm × 0.3 mm device achieves a transmittance modulation efficiency η_mod ≈ 0.020 V^-1, a −3 dB electro-optic bandwidth of ≈0.8 GHz, and an effective Pockels coefficient of ≈151 pm/V for BTO. The design is supported by electrostatic (COMSOL) and optical (FDTD/RCWA) simulations, and by DC transmission, hysteresis, and high-speed RF/EO measurements. A 2 mm × 2 mm device is also characterized, with a directly measured η_mod ≈ 0.014 V^-1. The central claim is that this architecture overcomes the usual aperture/efficiency/bandwidth trade-off in free-space EO metasurfaces.

Significance. If the headline numbers are correct, this would be a notable step for scalable BTO-based free-space modulators: the use of RF-sputtered BTO with mature TiO2 nanofabrication is a practical route, and the measured electrical and electro-optic bandwidths, Q-factors, resonance shift rates, and the 2-mm-device direct efficiency are internally consistent. The speed claim is strengthened by direct VNA measurements in two termination configurations and by the RC-lumped-element analysis in Supplementary Note 7. However, the two flagship values for the 0.3 mm device — η_mod ≈ 0.020 V^-1 and r_eff ≈ 151 pm/V — are not directly measured; they are inferred from Fano-fit slopes and simulation-normalized shift rates. Because these values drive the abstract and Table 1, the significance of the paper depends on how convincingly this indirect extraction is validated and how its uncertainty is quantified.

major comments (3)
  1. [2.3 / Supplementary Note 6] The headline η_mod ≈ 0.020 V^-1 for the 0.3 mm × 0.3 mm device is inferred, not directly measured. Supplementary Note 6 explicitly states that the direct fixed-wavelength transmittance-vs-voltage method does not work for this device due to spectral fluctuations, and η_mod is computed as dT/dλ × dλ/dV using dT/dλ = 0.303 nm^-1 from the Fano fit and dλ/dV = 0.065 nm/V over 0–20 V. This product is not a measurement of the transmittance excursion at the operating wavelength. The resonance has Q~1320 and the spectra show fluctuations (Fig. S10), so the Fano slope is fit-sensitive; an overestimated slope directly inflates the abstract and Table 1 efficiency. Please provide a direct fixed-wavelength transmittance trace if possible, or clearly label the value as an indirect estimate with a confidence interval, and reconcile the two shift rates used in §2.3 (0.065 nm/V for η_mod vs 0.071 nm/V for
  2. [Methods 4.9, Eqs. (7) and (8)] The two ‘independent’ estimates of r_eff are not independent. Eq. (7) scales the measured shift rate by S_sim/r_eff,sim with r_eff,sim = 130 pm/V from the FDTD simulation, and Eq. (8) uses the same measured Δλ_res, the simulated Γ_AR ≈ 0.8, and the same simulated EDC = 6.92 V/µm. Thus r_eff ≈ 151 pm/V is a simulation-normalized extraction. Since Eq. (3) is linear in EDC, any error in the simulated field — particularly from the assumed BTO permittivity tensor ε = diag(1044,1044,1976) taken from a library rather than measured on this film — propagates inversely into r_eff. The authors should quantify this sensitivity by varying ε and electrode geometry, and ideally support the extraction with a direct phase measurement or an independent field calibration.
  3. [2.3 and Fig. 3f / Supplementary Note 6] The DC response is strongly hysteretic, yet the dynamic operating point is not verified. The η_mod estimate combines a resonance slope at 0 V with a shift rate taken over 0–20 V, while r_eff ≈ 151 pm/V uses S_exp ≈ 0.071 nm/V at 100 V. The RF measurement is performed at 7 V DC bias with the wavelength set to the maximum slope. The paper does not show that small-signal transmittance modulation at 7 V equals dT/dλ × dλ/dV extracted from quasi-static sweeps. A small-signal transmittance-vs-voltage curve around the bias point, or a direct calibration of the modulated optical signal against the RF drive, would confirm the 0.020 V^-1 claim under operating conditions.
minor comments (3)
  1. [Table 1] The row for this work lists η_mod ≈ 0.020 V^-1 and r_eff ≈ 151 pm/V as if they were measured; a footnote should state that these are inferred values for the 0.3 mm device.
  2. [Methods 4.8] For the 0.3 mm device, the text says the modulation efficiency ‘was calculated’; given Supplementary Note 6, ‘estimated’ would be more accurate and would avoid overstating the measurement.
  3. [Supplementary Note 7, Eq. (27)] The capacitance estimate is clearly an idealized parallel-plate approximation; stating that fringing and the anisotropic BTO permittivity may increase the actual capacitance would help the reader judge the RC-bandwidth model. This is a clarity issue, not a substantive flaw.

Circularity Check

0 steps flagged

No significant circularity: central device metrics are measured; the Pockels extraction is calibration-consistent rather than a free-standing material measurement, but no prediction reduces to its input by construction.

full rationale

The derivation chain is not circular. The abstract's central numbers are anchored in direct measurements: the -3 dB electro-optic bandwidth is a measured S21 response (Fig. 4d), the resonance shift rate is extracted from measured spectra (Fig. 3b and Fig. S10), and η_mod for the 2 mm device is directly evaluated from voltage-dependent transmittance at fixed λop (Fig. 3e). For the 0.3 mm device, Supplementary Note 6 states explicitly that η_mod was 'estimated from the measured resonance shift rate and the maximum slope of the resonance spectrum extracted from the Fano fitted curve' rather than measured directly; this is an inference from data, not a circular reduction. The effective Pockels coefficient in Methods 4.9 is extracted by comparing measured S_exp with a simulation that assumed reff,sim = 130 pm/V (Eq. 7) and via a perturbation expression (Eq. 8); both estimates share the same measured shifts and simulated EDC/ΓAR, so the word 'independent' overstates the case, and the extracted reff is model-calibrated rather than a free-standing material measurement. But this is a calibration/limitation, not a case where a prediction reduces to its input by construction: the measured S_exp is not equal to S_sim, and the paper does not use the extracted reff to predict the same data. The only self-citations (refs 39,40) supporting sputtered BTO Pockels values are from coauthors but are not load-bearing because the current paper independently measures reff≈151 pm/V. No circular step meets the required quote-and-reduction standard.

Axiom & Free-Parameter Ledger

2 free parameters · 5 axioms · 0 invented entities

The main free parameters are the assumed r_eff,sim = 130 pm/V and the assumed in-plane BTO permittivity of 1044, both of which control the extraction of the reported effective Pockels coefficients. The axioms are standard perturbation theory plus domain assumptions about the BTO film structure, the scalar-mode approximation, the uniform static field, and the attribution of measured shifts to the Pockels effect. No new physical entities are introduced.

free parameters (2)
  • r_eff,sim (assumed effective Pockels coefficient in simulations) = 130 pm/V
    Assumed in Eq. (1) to generate simulated spectra; used as the normalization in Eq. (7) to report r_eff,exp. If a different r_eff,sim were assumed, the extracted r_exp would scale linearly.
  • In-plane BTO permittivity epsilon_x = epsilon_y = 1044
    Taken as (epsilon_a + epsilon_c)/2 from the COMSOL materials library (epsilon_a=1976, epsilon_c=112). Controls the simulated EDC = 6.92 V/µm and therefore all extracted r_eff values and simulated efficiencies.
axioms (5)
  • standard math First-order electromagnetic perturbation theory: Delta_lambda_res / lambda_res ≈ Gamma_AR * Delta_n_BTO / n_BTO.
    Used in Methods 4.9 and Supp. Note 1 to convert measured resonance shifts into r_eff; assumes small perturbation and negligible coupling between counter-propagating modes.
  • domain assumption The static electric field in the BTO active region is uniform, x-directed, and equal to the COMSOL-simulated value (6.92 V/µm at 50 V).
    Methods 4.1; used in Eq. (3) for all r_exp extractions. Depends on assumed BTO permittivity and electrode geometry.
  • domain assumption The target GMR is an x-polarized TE mode whose response is captured by a scalar refractive-index perturbation of BTO (Eq. 1).
    Methods 4.2 states the scalar perturbation approximation is expected to accurately capture the resonance shift; if the mode has significant polarization components along other axes, the extracted r_eff values are not valid.
  • domain assumption The BTO film contains two orthogonal in-plane c-axis domains with equal populations after poling, and the 45-degree geometry optimally activates the r42 Pockels response.
    Supp. Note 4; underlies the poling procedure and the interpretation of the hysteresis loop. Unequal domain populations or incomplete poling would change the effective Pockels coefficient.
  • domain assumption The measured resonance shift is entirely due to the Pockels effect, and the difference between simulated and measured shift rates is attributed solely to a difference in r_eff.
    Methods 4.9, Eq. (7); if thermal drift, acoustic contributions, or fabrication-induced loss affect the shift rate differently in simulation and experiment, the extracted r_exp is biased.

pith-pipeline@v1.3.0-alltime-deepseek · 24317 in / 16294 out tokens · 149860 ms · 2026-08-04T00:48:15.276524+00:00 · methodology

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read the original abstract

Free-space electro-optic modulators are key to emerging photonic systems, yet their performance remains limited by trade-offs between modulation efficiency, bandwidth, and device aperture. Here we report a hybrid BaTiO3 (BTO)/TiO2 metasurface for large-aperture, efficient, gigahertz-speed free-space electro-optic modulation. Combining scalable BTO film growth by radio-frequency magnetron sputtering with mature TiO2 nanofabrication, we pattern the metasurface in TiO2 on an unetched BTO layer. The resulting devices support guided-mode resonances with quality factors exceeding 1300 and an optical confinement factor of ~0.8, while the continuous BTO layer makes efficient use of the applied voltage, together maximizing the overlap between the optical and driving fields within the BTO. A device with a 0.3 mm x 0.3 mm metasurface achieves a transmittance modulation efficiency of ~0.020 per volt and a -3 dB electro-optic bandwidth of ~0.8 GHz, with an effective Pockels coefficient of ~151 pm/V for the BTO. This establishes a scalable route to high-performance free-space electro-optic modulators for LiDAR, free-space optical communication, and reconfigurable optical computing.

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Reference graph

Works this paper leans on

63 extracted references · 28 canonical work pages

  1. [1]

    Fan, Shanhui and Joannopoulos, J. D. , title =. Physical Review B , volume =. doi:23 , year =

  2. [2]

    and Eltes, F

    Abel, S. and Eltes, F. and Ortmann, J. E. and Messner, A. and Castera, P. and Wagner, T. and Urbonas, D. and Rosa, A. and Gutierrez, A. M. and Tulli, D. and Ma, P. and Baeuerle, B. and Josten, A. and Heni, W. and Caimi, D. and Czornomaz, L. and Demkov, A. A. and Leuthold, J. and Sanchis, P. and Fompeyrine, J. , title =. Nature Materials , volume =. doi:10...

    work page doi:10.1038/s41563-018-0208-0

  3. [3]

    and Reynaud, Marc and Demkov, Alexander A

    Dong, Zuoming and Raju, Amogh and Posadas, Agham B. and Reynaud, Marc and Demkov, Alexander A. and Wasserman, Daniel M. , title =. ACS Photonics , volume =. doi:10.1021/acsphotonics.3c01144 , year =

    work page doi:10.1021/acsphotonics.3c01144

  4. [4]

    Applied optics , volume=

    Theory and applications of guided-mode resonance filters , author=. Applied optics , volume=. 1993 , publisher=

    1993

  5. [5]

    and Sharon, A

    Rosenblatt, D. and Sharon, A. and Friesem, A.A. , journal=. Resonant grating waveguide structures , year=

  6. [6]

    1984 , isbn =

    Optical Waves in Crystals: Propagation and Control of Laser Radiation , author =. 1984 , isbn =

    1984

  7. [7]

    Bell System Technical Journal , volume=

    Coupled wave theory for thick hologram gratings , author=. Bell System Technical Journal , volume=. 1969 , publisher=

    1969

  8. [8]

    Nature Reviews Materials , volume=

    Bound states in the continuum , author=. Nature Reviews Materials , volume=. 2016 , publisher=

    2016

  9. [9]

    and Johnson, Steven G

    Joannopoulos, John D. and Johnson, Steven G. and Winn, Joshua N. and Meade, Robert D. , title =. 2008 , isbn =

    2008

  10. [10]

    and Ariu, K

    Soma, G. and Ariu, K. and Karakida, S. and Tsubai, Y. and Tanemura, T. , title =. Nature Nanotechnology , DOI =. 2025 , publisher=

    2025

  11. [11]

    Benea-Chelmus, I. C. and Mason, S. and Meretska, M. L. and Elder, D. L. and Kazakov, D. and Shams-Ansari, A. and Dalton, L. R. and Capasso, F. , title =. Nature Communications , volume =. doi:10.1038/s41467-022-30451-z , year =

    doi:10.1038/s41467-022-30451-z

  12. [12]

    , title =

    Boyd, Robert W. , title =. 2020 , isbn =

    2020

  13. [13]

    and Stoferle, T

    Abel, S. and Stoferle, T. and Marchiori, C. and Rossel, C. and Rossell, M. D. and Erni, R. and Caimi, D. and Sousa, M. and Chelnokov, A. and Offrein, B. J. and Fompeyrine, J. , title =. Nature Communications , volume =. doi:10.1038/ncomms2695 , year =

    work page doi:10.1038/ncomms2695

  14. [14]

    Benea-Chelmus, I. C. and Meretska, M. L. and Elder, D. L. and Tamagnone, M. and Dalton, L. R. and Capasso, F. , title =. Nature Communications , volume =. doi:10.1038/s41467-021-26035-y , year =

    work page doi:10.1038/s41467-021-26035-y

  15. [15]

    and Tulli, Domenico and Cueff, Sebastien and Orobtchouk, Regis and Rojo Romeo, Pedro and Saint-Girons, Guillaume and Sanchis, Pablo , title =

    Castera, Pau and Gutierrez, Ana M. and Tulli, Domenico and Cueff, Sebastien and Orobtchouk, Regis and Rojo Romeo, Pedro and Saint-Girons, Guillaume and Sanchis, Pablo , title =. IEEE Photonics Technology Letters , volume =. doi:10.1109/lpt.2016.2522509 , year =

    arXiv 2016

  16. [16]

    and Kohli, M

    Chelladurai, D. and Kohli, M. and Winiger, J. and Moor, D. and Messner, A. and Fedoryshyn, Y. and Eleraky, M. and Liu, Y. and Wang, H. and Leuthold, J. , title =. Nature Materials , volume =. doi:10.1038/s41563-025-02158-1 , year =

    doi:10.1038/s41563-025-02158-1

  17. [17]

    ACS Photonics , volume =

    Chen, Zetian and Mazurski, Noa and Engelberg, Jacob and Levy, Uriel , title =. ACS Photonics , volume =. doi:10.1021/acsphotonics.4c02354 , year =

    work page doi:10.1021/acsphotonics.4c02354

  18. [18]

    and Shim, J

    Dagli, S. and Shim, J. and Carr Delgado, H. and Balch, H. B. and Abdollahramezani, S. and Chen, C. Y. and Dolia, V. and Klopfer, E. and Dixon, J. and Hu, J. and Ogunlade, B. and Song, J. H. and Brongersma, M. L. and Barton, D. and Dionne, J. A. , title =. Advanced Materials , pages =. doi:10.1002/adma.202506790 , year =

    work page doi:10.1002/adma.202506790

  19. [19]

    and Bozhevolnyi, S

    Damgaard-Carstensen, C. and Bozhevolnyi, S. I. , title =. Nanophotonics , volume =. doi:10.1515/nanoph-2023-0042 , year =

    work page doi:10.1515/nanoph-2023-0042 2023

  20. [20]

    and Posadas, Agham B

    Demkov, Alexander A. and Posadas, Agham B. , title =. IEEE Journal of Selected Topics in Quantum Electronics , volume =. doi:10.1109/jstqe.2024.3405387 , year =

    arXiv 2024

  21. [21]

    Devlin, R. C. and Khorasaninejad, M. and Chen, W. T. and Oh, J. and Capasso, F. , title =. Proceedings of the National Academy of Sciences of the United States of America , volume =. doi:10.1073/pnas.1611740113 , year =

    doi:10.1073/pnas.1611740113

  22. [22]

    and Sabatti, A

    Di Francescantonio, A. and Sabatti, A. and Weigand, H. and Bailly-Rioufreyt, E. and Vincenti, M. A. and Carletti, L. and Kellner, J. and Zilli, A. and Finazzi, M. and Celebrano, M. and Grange, R. , title =. Nature Communications , volume =. doi:10.1038/s41467-025-62072-7 , year =

    work page doi:10.1038/s41467-025-62072-7

  23. [23]

    and Balch, H

    Dolia, V. and Balch, H. B. and Dagli, S. and Abdollahramezani, S. and Carr Delgado, H. and Moradifar, P. and Chang, K. and Stiber, A. and Safir, F. and Lawrence, M. and Hu, J. and Dionne, J. A. , title =. Nature Nanotechnology , volume =. doi:10.1038/s41565-024-01697-z , year =

    work page doi:10.1038/s41565-024-01697-z

  24. [24]

    and Capasso, Federico , title =

    Dorrah, Ahmed H. and Capasso, Federico , title =. Science , volume =. doi:10.1126/science.abi6860 , year =

    work page doi:10.1126/science.abi6860

  25. [25]

    Weigand and Virginia Falcone and Talts,

    Eleni Prountzou and Helena C. Weigand and Virginia Falcone and Talts,. Electro-Optic Modulation in Polycrystalline Barium Titanate Metasurfaces Enhanced by Poling , journal =. 2026 , type =

    2026

  26. [26]

    and Wu, S

    Feng, S. and Wu, S. and Zhang, W. and Liu, F. and Wang, J. , title =. Molecules , volume =. doi:10.3390/molecules29133188 , year =

    work page doi:10.3390/molecules29133188

  27. [27]

    Science Advances , volume =

    Fukui, Taichiro and Sumita, Kei and Miyano, Hiroki and Soma, Go and Yanwachirakul, Warakorn and Kato, Eisaku and Tanomura, Ryota and Liu, Jiahao and Yamada, Toshiki and Otomo, Akira and Toprasertpong, Kasidit and Takenaka, Mitsuru and Takagi, Shinichi and Nakano, Yoshiaki and Tanemura, Takuo , title =. Science Advances , volume =. doi:10.1126/sciadv.aea35...

    work page doi:10.1126/sciadv.aea3538

  28. [28]

    Science , volume=

    Optoelectronic metadevices , author=. Science , volume=. 2024 , publisher=

    2024

  29. [29]

    and Mengu, D

    Hu, J. and Mengu, D. and Tzarouchis, D. C. and Edwards, B. and Engheta, N. and Ozcan, A. , title =. Nature Communications , volume =. doi:10.1038/s41467-024-45982-w , year =

    work page doi:10.1038/s41467-024-45982-w

  30. [30]

    and Elder, Delwin L

    Jin, Wenwei and Johnston, Peter V. and Elder, Delwin L. and Tillack, Andreas F. and Olbricht, Benjamin C. and Song, Jinsheng and Reid, Philip J. and Xu, Ruimin and Robinson, Bruce H. and Dalton, Larry R. , title =. Applied Physics Letters , volume =. doi:10.1063/1.4884829 , year =

    work page doi:10.1063/1.4884829

  31. [31]

    Science , volume =

    Karst, Julian and Floess, Moritz and Ubl, Monika and Dingler, Carsten and Malacrida, Claudia and Steinle, Tobias and Ludwigs, Sabine and Hentschel, Mario and Giessen, Harald , title =. Science , volume =. doi:10.1126/science.abj3433 , year =

    doi:10.1126/science.abj3433

  32. [32]

    and Richter, Felix U

    Karvounis, Artemios and Vogler‐Neuling, Viola V. and Richter, Felix U. and Dénervaud, Eric and Timofeeva, Maria and Grange, Rachel , title =. Advanced Optical Materials , volume =. doi:10.1002/adom.202000623 , year =

    work page doi:10.1002/adom.202000623

  33. [33]

    and Oh, Jaewon and Zhu, Alexander Y

    Khorasaninejad, Mohammadreza and Chen, Wei Ting and Devlin, Robert C. and Oh, Jaewon and Zhu, Alexander Y. and Capasso, Federico , title =. Science , volume =. doi:10.1126/science.aaf6644 , year =

    doi:10.1126/science.aaf6644

  34. [34]

    , title =

    Li, Shi-Qiang and Xu, Xuewu and Veetil, Rasna Maruthiyodan and Valuckas, Vytautas and Paniagua-Domínguez, Ramón and Kuznetsov, Arseniy I. , title =. Science , volume =. doi:10.1126/science.aaw6747 , year =

    work page doi:10.1126/science.aaw6747

  35. [35]

    , title =

    McMahon, Peter L. , title =. Nature Reviews Physics , volume =. doi:10.1038/s42254-023-00645-5 , year =

    work page doi:10.1038/s42254-023-00645-5

  36. [36]

    Miller, David A. B. , title =. Journal of Lightwave Technology , volume =. doi:10.1109/jlt.2017.2647779 , year =

    arXiv 2017

  37. [37]

    and Streekstra, W

    Olthuis, W. and Streekstra, W. and Bergveld, P. , title =. Sensors and Actuators B: Chemical , volume =. doi:https://doi.org/10.1016/0925-4005(95)85053-8 , year =

    work page doi:10.1016/0925-4005(95)85053-8

  38. [38]

    and Christen, Ian and Minkov, Momchil and Brabec, Cole J

    Panuski, Christopher L. and Christen, Ian and Minkov, Momchil and Brabec, Cole J. and Trajtenberg-Mills, Sivan and Griffiths, Alexander D. and McKendry, Jonathan J. D. and Leake, Gerald L. and Coleman, Daniel J. and Tran, Cung and St Louis, Jeffrey and Mucci, John and Horvath, Cameron and Westwood-Bachman, Jocelyn N. and Preble, Stefan F. and Dawson, Mart...

    doi:10.1038/s41566-022-01086-9

  39. [39]

    and Jeong, B

    Park, J. and Jeong, B. G. and Kim, S. I. and Lee, D. and Kim, J. and Shin, C. and Lee, C. B. and Otsuka, T. and Kyoung, J. and Kim, S. and Yang, K. Y. and Park, Y. Y. and Lee, J. and Hwang, I. and Jang, J. and Song, S. H. and Brongersma, M. L. and Ha, K. and Hwang, S. W. and Choo, H. and Choi, B. L. , title =. Nature Nanotechnology , volume =. doi:10.1038...

    work page doi:10.1038/s41565-020-00787-y

  40. [40]

    Fathi, Pernille Undrum and Occhiodori, Irene and Devaney, Patrick and Ricks, Amberly and Ramesh, Rithvik and Ju, Yiwei and Waqar, Moaz and Letsou, Theodore P. and Sp. Quantum-Well-Metasurface to Maximize Nonlinear Polarization , journal =. 2026 , type =

    2026

  41. [41]

    Posadas, A. B. and Park, H. and Reynaud, M. and Cao, W. and Reynolds, J. D. and Guo, W. and Jeyaselvan, V. and Beskin, I. and Mashanovich, G. Z. and Warner, J. H. and Demkov, A. A. , title =. ACS Applied Materials & Interfaces , volume =. doi:10.1021/acsami.1c14048 , year =

    work page doi:10.1021/acsami.1c14048

  42. [42]

    ACS Photonics , volume =

    Salary, Mohammad Mahdi and Mosallaei, Hossein , title =. ACS Photonics , volume =. doi:10.1021/acsphotonics.0c00554 , year =

    work page doi:10.1021/acsphotonics.0c00554

  43. [43]

    arXiv:2501.06102 , year =

    Sam Lin and Yixin Chen and Taeseung Hwang and Anant Upadhyay and Ramy Rady and David Dolt and Samuel Palermo and Kamran Entesari and Christi Madsen and Zi Jing Wong and Shoufeng Lan , title =. arXiv:2501.06102 , year =

    Pith/arXiv arXiv

  44. [44]

    and Foley, Morgan and Grajower, Meir Y

    Sokhoyan, Ruzan and Hail, Claudio U. and Foley, Morgan and Grajower, Meir Y. and Atwater, Harry A. , title =. Laser & Photonics Reviews , volume =. doi:10.1002/lpor.202300980 , year =

    work page doi:10.1002/lpor.202300980

  45. [45]

    Nature Photonics , volume =

    Tang, Haoning and Lou, Beicheng and Du, Fan and Gao, Guangqi and Zhang, Mingjie and Ni, Xueqi and Hu, Evelyn and Yacoby, Amir and Cao, Yuan and Fan, Shanhui and Mazur, Eric , title =. Nature Photonics , volume =. doi:10.1038/s41566-025-01650-z , year =

    work page doi:10.1038/s41566-025-01650-z

  46. [46]

    doi:10.1038/s41586-025-08820-7 , year =

    A manufacturable platform for photonic quantum computing , journal =. doi:10.1038/s41586-025-08820-7 , year =

    doi:10.1038/s41586-025-08820-7

  47. [47]

    , title =

    Thomaschewski, Martin and Dong, Chaobo and Gui, Yaliang and Wang, Hao and Dalir, Hamed and Sorger, Volker J. , title =. ACS Photonics , volume =. doi:10.1021/acsphotonics.4c01515 , year =

    work page doi:10.1021/acsphotonics.4c01515

  48. [48]

    and Nyholm, A

    Thureja, P. and Nyholm, A. W. and Thomaschewski, M. and Jahelka, P. R. and Belleville, J. and Atwater, H. A. , title =. Nano Letters , volume =. doi:10.1021/acs.nanolett.5c02279 , year =

    work page doi:10.1021/acs.nanolett.5c02279

  49. [49]

    and Zhang, M

    Wang, C. and Zhang, M. and Chen, X. and Bertrand, M. and Shams-Ansari, A. and Chandrasekhar, S. and Winzer, P. and Loncar, M. , title =. Nature , volume =. doi:10.1038/s41586-018-0551-y , year =

    doi:10.1038/s41586-018-0551-y

  50. [50]

    Weigand, H. C. and Talts, U. L. and Vieli, A. L. and Vogler-Neuling, V. V. and Nardi, A. and Grange, R. , title =. Nano Letters , volume =. doi:10.1021/acs.nanolett.4c00711 , year =

    work page doi:10.1021/acs.nanolett.4c00711

  51. [51]

    Applied Physics A , volume =

    Weis, RS and Gaylord, TK , title =. Applied Physics A , volume =. 1985 , type =

    1985

  52. [52]

    Physics Today , volume =

    Weiss, David S and Saffman, Mark , title =. Physics Today , volume =. 2017 , type =

    2017

  53. [53]

    and Wang, M

    Yang, G. and Wang, M. and Lee, J. S. and Farmakidis, N. and Shields, J. and Ruiz de Galarreta, C. and Kendall, S. and Bertolotti, J. and Moskalenko, A. and Huang, K. and Alu, A. and Wright, C. D. and Bhaskaran, H. , title =. Light: Science & Applications , volume =. doi:10.1038/s41377-025-01841-x , year =

    doi:10.1038/s41377-025-01841-x

  54. [54]

    and Yao, W

    Yu, J. and Yao, W. and Qiu, M. and Li, Q. , title =. Light: Science & Applications , volume =. doi:10.1038/s41377-025-01825-x , year =

    doi:10.1038/s41377-025-01825-x

  55. [55]

    and Bernasconi, P

    Zgonik, M. and Bernasconi, P. and Duelli, M. and Schlesser, R. and Günter, P. and Garrett, M. H. and Rytz, D. and Zhu, Y. and Wu, X. , title =. Physical Review B , volume =. doi:10.1103/PhysRevB.50.5941 , year =

    work page doi:10.1103/physrevb.50.5941

  56. [56]

    and Janasik, M

    Zhu, Z. and Janasik, M. and Fyffe, A. and Hay, D. and Zhou, Y. and Kantor, B. and Winder, T. and Boyd, R. W. and Leuchs, G. and Shi, Z. , title =. Nature Communications , volume =. doi:10.1038/s41467-021-21793-1 , year =

    doi:10.1038/s41467-021-21793-1

  57. [57]

    and Murauski, Anatoli A

    Zou, Chengjun and Komar, Andrei and Fasold, Stefan and Bohn, Justus and Muravsky, Alexander A. and Murauski, Anatoli A. and Pertsch, Thomas and Neshev, Dragomir N. and Staude, Isabelle , title =. ACS Photonics , volume =. doi:10.1021/acsphotonics.9b00301 , year =

    work page doi:10.1021/acsphotonics.9b00301

  58. [58]

    Computer Physics Communications , volume =

    Victor Liu and Shanhui Fan , title =. Computer Physics Communications , volume =. 2012 , doi =

    2012

  59. [59]

    Nature Communications , volume=

    Free-standing bilayer metasurfaces in the visible , author=. Nature Communications , volume=. 2025 , publisher=

    2025

  60. [60]

    2025 , publisher=

    Raju, Amogh and Hungund, Divya and Krueger, Dan and Dong, Zuoming and Sakotic, Zarko and Posadas, Agham B and Demkov, Alexander A and Wasserman, Daniel , journal=. 2025 , publisher=

    2025

  61. [61]

    Nature of electro-optic response in tetragonal

    Kim, Inhwan and Paoletta, Therese and Demkov, Alexander A , journal=. Nature of electro-optic response in tetragonal. 2023 , publisher=

    2023

  62. [62]

    1985 , isbn =

    Handbook of Optical Constants of Solids , publisher =. 1985 , isbn =

    1985

  63. [63]

    Johnson, P. B. and Christy, R. W. , title =. Physical Review B , volume =. 1972 , doi =

    1972