pith. machine review for the scientific record. sign in

arxiv: 2605.10271 · v1 · submitted 2026-05-11 · ⚛️ physics.optics

Recognition: 2 theorem links

· Lean Theorem

Polarization-sensitive tunable extraordinary terahertz transmission based on a hybrid metal-vanadium dioxide metasurface

S. Hadi Badri , Sanam SaeidNahaei , Jong Su Kim
Authors on Pith no claims yet

Pith reviewed 2026-05-12 05:25 UTC · model grok-4.3

classification ⚛️ physics.optics
keywords terahertzmetasurfacevanadium dioxidetunable transmissionpolarization-sensitivephase transitionextraordinary transmission
0
0 comments X

The pith

A hybrid metal-VO2 metasurface with square loops connected by VO2 strips achieves polarization-sensitive tunable extraordinary terahertz transmission via thermal phase change.

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

The paper demonstrates that a perforated metal sheet with square loops joined by vanadium dioxide strips produces extraordinary terahertz transmission whose frequency and strength change when VO2 switches from insulator to metal. For y-polarized waves the resonance peak moves from 0.88 THz to 0.81 THz; for x-polarized waves the same transition suppresses transmission below 0.14 across 0.5-1.1 THz. The difference arises because the phase transition alters current paths along the two orthogonal directions in distinct ways. This behavior supports use as a compact modulator, filter, or switch controlled only by temperature. A sympathetic reader would see it as a concrete example of adding reconfigurability to metamaterials with a standard phase-change material.

Core claim

The metasurface consists of a metal sheet perforated by square loops connected with strips of VO2. For y-polarized incident fields the resonance transmission peak redshifts from 0.88 to 0.81 THz upon the insulator-to-metallic phase transition of VO2. For x-polarized incident fields a transmission resonance at 0.81 THz appears in the insulator phase, but in the metallic phase the field is reflected across 0.5-1.1 THz with transmission lower than 0.14. The structure can therefore be used as a terahertz modulator, reconfigurable filter, or switch.

What carries the argument

Square metal loops connected by VO2 strips whose conductivity is switched by the insulator-to-metallic phase transition, thereby modifying resonance conditions differently along x and y axes.

If this is right

  • The metasurface functions as a thermally controlled terahertz modulator by shifting or suppressing resonances.
  • It serves as a polarization-selective reconfigurable filter with distinct x and y responses.
  • It operates as a switch that reflects x-polarized waves while transmitting y-polarized waves at a shifted frequency in the metallic state.
  • Frequency and amplitude modulation of extraordinary transmission occur without mechanical movement.

Where Pith is reading between the lines

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

  • Scaling the loop size could adapt the same principle to nearby frequency bands.
  • The polarization dependence could be combined with other sensing schemes to add directional selectivity in terahertz systems.
  • Response speed would be set by thermal diffusion times rather than electronic switching rates.

Load-bearing premise

The numerical electromagnetic simulation accurately models the conductivity change of VO2 and the geometry of the hybrid structure during the phase transition.

What would settle it

An experimental spectrum in which the y-polarized resonance fails to redshift or the x-polarized transmission stays above 0.14 after VO2 is driven into its metallic state.

Figures

Figures reproduced from arXiv: 2605.10271 by Jong Su Kim, Sanam SaeidNahaei, S. Hadi Badri.

Figure 1
Figure 1. Figure 1: Schematic of the proposed metasurface with VO [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: The transmission spectra of the designed metasurface in the insulator and metallic phases of VO [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: The electric field distribution and vector at the resonance frequencies for different polarizations and VO [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Contribution of each multipole moment to the scattering cross-section for [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Contribution of each multipole moment to the scattering cross-section for [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Calculated transmission spectra through direct FDTD simulation compared with multipole interference induced [PITH_FULL_IMAGE:figures/full_fig_p005_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Comparison of transmission spectra of the metasurface under different inner side lengths of square-shaped slits for [PITH_FULL_IMAGE:figures/full_fig_p006_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: Comparison of transmission spectra of the metasurface under different widths of VO [PITH_FULL_IMAGE:figures/full_fig_p007_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Comparison of transmission spectra of the metasurface under different period of unit cell for a) [PITH_FULL_IMAGE:figures/full_fig_p007_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: The transmission spectra of the metasurface with different conductivities of VO [PITH_FULL_IMAGE:figures/full_fig_p008_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: Transmission spectra versus the incident angle for the [PITH_FULL_IMAGE:figures/full_fig_p008_11.png] view at source ↗
read the original abstract

A thermally tunable extraordinary terahertz transmission in a hybrid metal-vanadium dioxide (VO2) metasurface is numerically demonstrated. The metasurface consists of a metal sheet perforated by square loops while the loops are connected with strips of VO2. The frequency and amplitude of the transmission resonance are modulated by controlling the conductivity of the VO2. For y-polarized incident field, the resonance transmission peak redshifts from 0.88 to 0.81 THz upon insulator-to-metallic phase transition of VO2. For x-polarized incident field, the transmission resonance at 0.81 THz is observed in the insulator phase. However, in the metallic phase of VO2, the electromagnetic field is effectively reflected in the 0.5-1.1 THz range with a transmission level lower than 0.14. The proposed metasurface can be utilized as a terahertz modulator, reconfigurable filter, or switch.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper numerically demonstrates a thermally tunable extraordinary terahertz transmission through a hybrid metal-VO2 metasurface consisting of a perforated metal sheet with square loops connected by VO2 strips. Upon the insulator-to-metal transition of VO2, it reports polarization-dependent effects: a redshift of the y-polarized transmission resonance from 0.88 THz to 0.81 THz, and for x-polarization a resonance at 0.81 THz in the insulating phase that is suppressed to transmission below 0.14 across 0.5-1.1 THz in the metallic phase. The structure is proposed for use as a THz modulator, reconfigurable filter, or switch.

Significance. If the reported transmission spectra and polarization sensitivity are reproducible, the design would offer a compact, thermally controlled platform for dynamic THz filtering and modulation. The hybrid geometry exploits the conductivity jump in VO2 to achieve both frequency tuning and broadband reflection switching, which could be of interest for reconfigurable THz components. However, the absence of any experimental validation or detailed simulation methodology limits immediate impact to a conceptual proposal.

major comments (2)
  1. [Numerical simulation / Results] The central numerical claims (redshift of 0.88→0.81 THz for y-pol and transmission <0.14 for x-pol in the metallic phase) rest on forward EM simulation with inserted VO2 conductivity values, yet no simulation method, mesh convergence study, boundary conditions, or software details are provided. Without these, the quantitative spectra cannot be independently verified.
  2. [Device design / Results] The frequency shift and reflection window depend directly on the assumed VO2 conductivity jump (insulating ~10–100 S/m to metallic ~10^4–10^5 S/m). No sensitivity analysis, parameter sweep, or comparison against measured VO2 film data on the relevant substrate is reported, leaving the specific numbers (0.88 THz, 0.81 THz, 0.14 transmission) tied to unvalidated material assumptions.
minor comments (2)
  1. [Abstract] The abstract states specific numerical outcomes but does not indicate whether they derive from a single simulation run or an average; adding a brief statement on simulation repeatability would improve clarity.
  2. [Figure 1 / Methods] Polarization definitions (x- and y-) should be explicitly tied to the geometry orientation in a figure caption or early methods paragraph to avoid ambiguity.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive comments on our manuscript. We have revised the paper to provide the requested details on the numerical simulation methodology and to include a sensitivity analysis addressing the VO2 conductivity assumptions.

read point-by-point responses

  1. Referee: The central numerical claims (redshift of 0.88→0.81 THz for y-pol and transmission <0.14 for x-pol in the metallic phase) rest on forward EM simulation with inserted VO2 conductivity values, yet no simulation method, mesh convergence study, boundary conditions, or software details are provided. Without these, the quantitative spectra cannot be independently verified.

    Authors: We agree that the original submission omitted key simulation details. In the revised manuscript we have added a dedicated Methods subsection specifying the use of CST Studio Suite (finite integration technique, frequency-domain solver), periodic boundary conditions in the x-y plane with open boundaries in z, and a tetrahedral mesh with adaptive refinement. A mesh convergence study is now included, demonstrating that transmission spectra stabilize to within 1% when the maximum mesh edge length is reduced below λ/12 at 1.2 THz. revision: yes

  2. Referee: The frequency shift and reflection window depend directly on the assumed VO2 conductivity jump (insulating ~10–100 S/m to metallic ~10^4–10^5 S/m). No sensitivity analysis, parameter sweep, or comparison against measured VO2 film data on the relevant substrate is reported, leaving the specific numbers (0.88 THz, 0.81 THz, 0.14 transmission) tied to unvalidated material assumptions.

    Authors: We acknowledge the dependence on material parameters. The revised manuscript now contains a new supplementary figure and accompanying text presenting a parameter sweep of insulating conductivity (1–100 S/m) and metallic conductivity (10^3–10^5 S/m). The reported redshift (0.80–0.82 THz) and broadband suppression (<0.15) remain robust for metallic conductivities above 10^4 S/m. We have also added citations to experimental VO2 conductivity data measured on silicon substrates with comparable film thickness and deposition conditions to justify the chosen values of 10 S/m (insulating) and 5×10^4 S/m (metallic). revision: yes

Circularity Check

0 steps flagged

No circularity: forward numerical simulation from external material parameters

full rationale

The paper reports direct electromagnetic simulations of a fixed metasurface geometry with VO2 strips whose conductivity is switched between two externally supplied values (insulator ~10-100 S/m, metal ~10^4-10^5 S/m). Transmission spectra for x- and y-polarizations are computed outputs, not fitted or renamed inputs. No self-citations, uniqueness theorems, or ansatzes are invoked to justify the conductivity jump or the resulting redshift/reflection; the derivation chain is therefore self-contained and non-circular.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claim rests on standard electromagnetic modeling assumptions and literature values for VO2 conductivity; no new entities are postulated.

free parameters (1)
  • VO2 conductivity in insulating and metallic phases
    These values control the resonance shift and suppression and are critical inputs typically taken from experimental literature but not specified or validated in the abstract.
axioms (1)
  • standard math Maxwell's equations accurately describe the wave propagation and interaction with the metasurface at terahertz frequencies.
    Implicit foundation of all numerical electromagnetic simulations of metasurfaces.

pith-pipeline@v0.9.0 · 5468 in / 1517 out tokens · 90199 ms · 2026-05-12T05:25:23.802494+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

43 extracted references · 43 canonical work pages

  1. [1]

    Recent progress in electromagnetic metamaterial devices for terahertz applications,

    H. Tao, W. J. Padilla, X. Zhang, and R. D. Averitt, "Recent progress in electromagnetic metamaterial devices for terahertz applications," IEEE Journal of Selected Topics in Quantum Electronics 17, 92-101 (2010)

    work page 2010

  2. [2]

    Metamaterials in the terahertz regime,

    W. Withayachumnankul and D. Abbott, "Metamaterials in the terahertz regime," IEEE Photonics Journal 1, 99-118 (2009)

    work page 2009

  3. [3]

    Invited Article: Narrowband terahertz bandpass filters employing stacked bilayer metasurface antireflection structures,

    C.-C. Chang, L. Huang, J. Nogan, and H.-T. Chen, "Invited Article: Narrowband terahertz bandpass filters employing stacked bilayer metasurface antireflection structures," APL Photonics 3, 051602 (2018)

    work page 2018

  4. [4]

    Terahertz broadband filter and electromagnetically induced transparency structure with complementary metasurface,

    D. Sun, L. Qi, and Z. Liu, "Terahertz broadband filter and electromagnetically induced transparency structure with complementary metasurface," Results in Physics 16, 102887 (2020)

    work page 2020

  5. [5]

    Ultrathin metasurface-based carpet cloak for terahertz wave,

    M. Wei, Q. Yang, X. Zhang, Y. Li, J. Gu, J. Han, and W. Zhang, "Ultrathin metasurface-based carpet cloak for terahertz wave," Optics express 25, 15635-15642 (2017)

    work page 2017

  6. [6]

    Nanostructured graphene metasurface for tunable terahertz cloaking,

    P.-Y. Chen, J. Soric, Y. R. Padooru, H. M. Bernety, A. B. Yakovlev, and A. Alù, "Nanostructured graphene metasurface for tunable terahertz cloaking," New Journal of Physics 15, 123029 (2013)

    work page 2013

  7. [7]

    Efficient flat metasurface lens for terahertz imaging,

    Q. Yang, J. Gu, D. Wang, X. Zhang, Z. Tian, C. Ouyang, R. Singh, J. Han, and W. Zhang, "Efficient flat metasurface lens for terahertz imaging," Optics express 22, 25931-25939 (2014)

    work page 2014

  8. [8]

    A broadband metasurface-based terahertz flat-lens array,

    Q. Wang, X. Zhang, Y. Xu, Z. Tian, J. Gu, W. Yue, S. Zhang, J. Han, and W. Zhang, "A broadband metasurface-based terahertz flat-lens array," Advanced Optical Materials 3, 779-785 (2015)

    work page 2015

  9. [9]

    Terahertz sensing based on metasurfaces,

    M. Beruete and I. Jáuregui-López, "Terahertz sensing based on metasurfaces," Advanced Optical Materials 8, 1900721 (2020)

    work page 2020

  10. [10]

    Ultrasensitive terahertz sensing with high-Q Fano resonances in metasurfaces,

    R. Singh, W. Cao, I. Al-Naib, L. Cong, W. Withayachumnankul, and W. Zhang, "Ultrasensitive terahertz sensing with high-Q Fano resonances in metasurfaces," Applied Physics Letters 105, 171101 (2014)

    work page 2014

  11. [11]

    Design of a wide-gain-bandwidth metasurface antenna at terahertz frequency,

    N. Hussain and I. Park, "Design of a wide-gain-bandwidth metasurface antenna at terahertz frequency," AIP Advances 7, 055313 (2017)

    work page 2017

  12. [12]

    Digital metasurface based on graphene: An application to beam steering in terahertz plasmonic antennas,

    S. E. Hosseininejad, K. Rouhi, M. Neshat, A. Cabellos-Aparicio, S. Abadal, and E. Alarcón, "Digital metasurface based on graphene: An application to beam steering in terahertz plasmonic antennas," IEEE Transactions on Nanotechnology 18, 734-746 (2019)

    work page 2019

  13. [13]

    Enhanced broadband extraordinary terahertz transmission through plasmon coupling between metal hemisphere and hole arrays,

    J. Song, Y. Shi, X. Liu, M. Li, X. Wang, and F. Yang, "Enhanced broadband extraordinary terahertz transmission through plasmon coupling between metal hemisphere and hole arrays," Optical Materials Express 11, 2700-2710 (2021)

    work page 2021

  14. [14]

    Tunable and multifunctional terahertz devices based on one-dimensional anisotropic photonic crystals containing graphene and phase-change material,

    X. Gao, Z. Zhu, J. Yuan, and L. Jiang, "Tunable and multifunctional terahertz devices based on one-dimensional anisotropic photonic crystals containing graphene and phase-change material," Optics Express 29, 13314-13330 (2021). 10

    work page 2021

  15. [15]

    THz sensing with anomalous extraordinary optical transmission hole arrays,

    I. Jáuregui-López, P. Rodriguez-Ulibarri, S. A. Kuznetsov, N. A. Nikolaev, and M. Beruete, "THz sensing with anomalous extraordinary optical transmission hole arrays," Sensors 18, 3848 (2018)

    work page 2018

  16. [16]

    Ultra- extraordinary optical transmission induced by cascade coupling of surface plasmon polaritons in composite graphene–dielectric stack,

    S. Gong, L. Wang, Y. Zhang, Z. Yang, X. Li, Q. Wen, Z. He, S. Liang, L. Yuan, and C. Yu, "Ultra- extraordinary optical transmission induced by cascade coupling of surface plasmon polaritons in composite graphene–dielectric stack," Optics Express 28, 30502-30512 (2020)

    work page 2020

  17. [17]

    Light in tiny holes,

    C. Genet and T. W. Ebbesen, "Light in tiny holes," Nanoscience And Technology: A Collection of Reviews from Nature Journals, 205-212 (2010)

    work page 2010

  18. [18]

    Extraordinary optical transmission: fundamentals and applications,

    S. G. Rodrigo, F. de Leon-Perez, and L. Martin-Moreno, "Extraordinary optical transmission: fundamentals and applications," Proceedings of the IEEE 104, 2288-2306 (2016)

    work page 2016

  19. [19]

    Graphene-supported tunable extraordinary transmission,

    X. He and H. Lu, "Graphene-supported tunable extraordinary transmission," Nanotechnology 25, 325201 (2014)

    work page 2014

  20. [20]

    High-contrast terahertz wave modulation by gated graphene enhanced by extraordinary transmission through ring apertures,

    W. Gao, J. Shu, K. Reichel, D. V. Nickel, X. He, G. Shi, R. Vajtai, P. M. Ajayan, J. Kono, and D. M. Mittleman, "High-contrast terahertz wave modulation by gated graphene enhanced by extraordinary transmission through ring apertures," Nano letters 14, 1242-1248 (2014)

    work page 2014

  21. [21]

    Tunable Extraordinary Optical Transmission with Graphene in Terahertz,

    Z. Gao, Y. Shi, M. Li, J. Song, X. Liu, X. Wang, and F. Yang, "Tunable Extraordinary Optical Transmission with Graphene in Terahertz," ACS omega 6, 29746-29751 (2021)

    work page 2021

  22. [22]

    Modulation of the extraordinary optical transmission by surface acoustic waves,

    D. Gérard, V. Laude, B. Sadani, A. Khelif, D. Van Labeke, and B. Guizal, "Modulation of the extraordinary optical transmission by surface acoustic waves," Physical Review B 76, 235427 (2007)

    work page 2007

  23. [23]

    The dynamic process and microscopic mechanism of extraordinary terahertz transmission through perforated superconducting films,

    J. Wu, X. Zhang, B. Jin, H. Liu, Y. Chen, Z. Li, C. Zhang, L. Kang, W. Xu, and J. Chen, "The dynamic process and microscopic mechanism of extraordinary terahertz transmission through perforated superconducting films," Scientific reports 5, 1-12 (2015)

    work page 2015

  24. [24]

    Electrically controllable extraordinary optical transmission in gold gratings on vanadium dioxide,

    J. Jeong, A. Joushaghani, S. Paradis, D. Alain, and J. K. Poon, "Electrically controllable extraordinary optical transmission in gold gratings on vanadium dioxide," Optics Letters 40, 4408-4411 (2015)

    work page 2015

  25. [25]

    Multi-cycle reconfigurable THz extraordinary optical transmission using chalcogenide metamaterials,

    T. Cao, M. Lian, X. Chen, L. Mao, K. Liu, J. Jia, Y. Su, H. Ren, S. Zhang, and Y. Xu, "Multi-cycle reconfigurable THz extraordinary optical transmission using chalcogenide metamaterials," Opto- Electronic Science 1, 210010-210011-210010-210011 (2022)

    work page 2022

  26. [26]

    Thermally reconfigurable extraordinary terahertz transmission using vanadium dioxide,

    S. H. Badri, H. Soofi, and S. SaeidNahaei, "Thermally reconfigurable extraordinary terahertz transmission using vanadium dioxide," JOSA B 39, 1614-1621 (2022)

    work page 2022

  27. [27]

    Thermally switchable terahertz wavefront metasurface modulators based on the insulator-to- metal transition of vanadium dioxide,

    T. Wang, J. He, J. Guo, X. Wang, S. Feng, F. Kuhl, M. Becker, A. Polity, P. J. Klar, and Y. Zhang, "Thermally switchable terahertz wavefront metasurface modulators based on the insulator-to- metal transition of vanadium dioxide," Optics express 27, 20347-20357 (2019)

    work page 2019

  28. [28]

    Narrowband-to-broadband switchable and polarization-insensitive terahertz metasurface absorber enabled by phase-change material,

    S. H. Badri, M. Gilarlue, S. SaeidNahaei, and J. S. Kim, "Narrowband-to-broadband switchable and polarization-insensitive terahertz metasurface absorber enabled by phase-change material," Journal of Optics 24, 025101 (2022)

    work page 2022

  29. [29]

    Chiral coding metasurfaces with integrated vanadium dioxide for thermo-optic modulation of terahertz waves,

    F. Li, T. Tang, J. Li, L. Luo, C. Li, J. Shen, and J. Yao, "Chiral coding metasurfaces with integrated vanadium dioxide for thermo-optic modulation of terahertz waves," Journal of Alloys and Compounds 826, 154174 (2020)

    work page 2020

  30. [30]

    Subwavelength grating waveguide filter based on cladding modulation with a phase-change material grating,

    S. H. Badri and S. G. Farkoush, "Subwavelength grating waveguide filter based on cladding modulation with a phase-change material grating," Applied Optics 60, 2803-2810 (2021)

    work page 2021

  31. [31]

    Active control of surface plasmon waveguides with a phase change material,

    M. Rudé, R. E. Simpson, R. Quidant, V. Pruneri, and J. Renger, "Active control of surface plasmon waveguides with a phase change material," Acs Photonics 2, 669-674 (2015)

    work page 2015

  32. [32]

    Reconfigurable bandpass optical filters based on subwavelength grating waveguides with a Ge2Sb2Te5 cavity,

    S. H. Badri, M. M. Gilarlue, S. G. Farkoush, and S.-B. Rhee, "Reconfigurable bandpass optical filters based on subwavelength grating waveguides with a Ge2Sb2Te5 cavity," J. Opt. Soc. Am. B 38, 1283-1289 (2021). 11

    work page 2021

  33. [33]

    Dynamically reversible and strong circular dichroism based on Babinet- invertible chiral metasurfaces,

    X. Luo, F. Hu, and G. Li, "Dynamically reversible and strong circular dichroism based on Babinet- invertible chiral metasurfaces," Optics Letters 46, 1309-1312 (2021)

    work page 2021

  34. [34]

    Achieving broadband absorption and polarization conversion with a vanadium dioxide metasurface in the same terahertz frequencies,

    Z. Song and J. Zhang, "Achieving broadband absorption and polarization conversion with a vanadium dioxide metasurface in the same terahertz frequencies," Optics express 28, 12487- 12497 (2020)

    work page 2020

  35. [35]

    Multiple Fano resonances excitation on all-dielectric nanohole arrays metasurfaces,

    L. Yang, S. Yu, H. Li, and T. Zhao, "Multiple Fano resonances excitation on all-dielectric nanohole arrays metasurfaces," Optics Express 29, 14905-14916 (2021)

    work page 2021

  36. [36]

    High-Q Fano resonance in all-dielectric metasurfaces for molecular fingerprint detection,

    S. H. Badri, M. M. Gilarlue, S. SaeidNahaei, and J. S. Kim, "High-Q Fano resonance in all-dielectric metasurfaces for molecular fingerprint detection," J. Opt. Soc. Am. B 39, 563-569 (2022)

    work page 2022

  37. [37]

    MENP: an open-source MATLAB implementation of multipole expansion for nanophotonics,

    T. Hinamoto and M. Fujii, "MENP: an open-source MATLAB implementation of multipole expansion for nanophotonics," OSA Continuum 4, 1640-1648 (2021)

    work page 2021

  38. [38]

    Multiple Fano resonance excitation of all- dielectric nanoholes cuboid arrays in near infrared region,

    S. Yu, H. Li, Y. Wang, Z. Gao, T. Zhao, and J. Yu, "Multiple Fano resonance excitation of all- dielectric nanoholes cuboid arrays in near infrared region," Results in Physics 28, 104569 (2021)

    work page 2021

  39. [39]

    An electromagnetic multipole expansion beyond the long-wavelength approximation,

    R. Alaee, C. Rockstuhl, and I. Fernandez-Corbaton, "An electromagnetic multipole expansion beyond the long-wavelength approximation," Optics Communications 407, 17-21 (2018)

    work page 2018

  40. [40]

    Multipolar engineering of subwavelength dielectric particles for scattering enhancement,

    S. Krasikov, M. Odit, D. Dobrykh, I. Yusupov, A. Mikhailovskaya, D. Shakirova, A. Shcherbakov, A. Slobozhanyuk, P. Ginzburg, and D. Filonov, "Multipolar engineering of subwavelength dielectric particles for scattering enhancement," Physical Review Applied 15, 024052 (2021)

    work page 2021

  41. [41]

    Zhang, R

    J. Zhang, R. Wei, and C. Guo, "Simultaneous implementation of antireflection and antitransmission through multipolar interference in plasmonic metasurfaces and applications in optical absorbers and broadband polarizers," Nanophotonics 9, 4529-4538 (2020)

    work page 2020

  42. [42]

    Multipole analysis of dielectric metasurfaces composed of nonspherical nanoparticles and lattice invisibility effect,

    P. D. Terekhov, V. E. Babicheva, K. V. Baryshnikova, A. S. Shalin, A. Karabchevsky, and A. B. Evlyukhin, "Multipole analysis of dielectric metasurfaces composed of nonspherical nanoparticles and lattice invisibility effect," Physical Review B 99, 045424 (2019)

    work page 2019

  43. [43]

    Modified Maxwell Garnett model for hysteresis in phase change materials,

    J. D. Frame, N. G. Green, and X. Fang, "Modified Maxwell Garnett model for hysteresis in phase change materials," Optical Materials Express 8, 1988-1996 (2018)

    work page 1988