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Confocal polarization tomography of dielectric nanocavities

T0 review · 3 major / 5 minor · reviewed 2026-08-11 · deepseek-v4-flash

Pith's one-line read In confocal reflection from an extreme-dielectric-confinement nanocavity, the Fano background is polarized, and detecting a specific elliptical polarization suppresses it over a finite frequency range, turning the lineshape into a…

desk verdict Solid polarization-tomography paper: the background-suppression result is real and visible in the spectra; the new-mode claim is plausible but rests on an unverified geometry transfer. read the letter →

arxiv 2412.12943 v1 pith:7GEEMOIZ submitted 2024-12-17 physics.optics

classification physics.optics
keywords FanolineshapepolarizationtomographyextremedielectricconfinementnanocavityquasinormalmodesconfocalreflectionspectroscopyellipticalInPmembranecavity
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

The paper establishes that, in confocal reflection from a dielectric nanocavity that confines light far below the wavelength without metal losses, the smooth background that interferes with a cavity resonance to produce a Fano lineshape is itself polarized. By inserting a quarter-wave plate and rotating half-wave and quarter-wave angles in the detection path, the authors project the reflected light onto an elliptical polarization that cancels the background almost completely over a finite frequency range; the lineshape then becomes a Lorentzian-like peak. This cancellation exposes a second, low-quality-factor resonance at 1.1007 eV with Q = 48 that had not been experimentally reported for these cavities, and finite-element simulations identify it as a distinct quasinormal mode. The paper also reports that nominally symmetry-forbidden cross-polarization settings still show both resonances, with reflectivity below 0.3%, because small asymmetries in the sample or alignment create weak off-diagonal reflection elements. If correct, the result makes polarization control a practical way to strip away Fano background in ordinary confocal reflection measurements, without near-field microscopy.

What carries the argument

The carrying object is the vectorial Fano field model, in which the detected field is $\vec{S}_{\mathrm{out}}(\omega) = \vec{b}(\omega) + \frac{\vec{a}}{1 - i(\omega - \omega_0)/\gamma}$, where $\vec{a}$ is the resonant contribution, $\vec{b}(\omega)$ is the slowly varying spectral background, and $\omega_0$ and $\gamma$ are the resonance frequency and damping. The derived power spectrum is the Fano form $P(\omega) = A_0(\omega) + F_0 \frac{(q + (\omega - \omega_0)/\gamma)^2}{1 + ((\omega - \omega_0)/\gamma)^2}$, so the asymmetry parameter $q$ and offset $A_0$ are functions of the dot product between $\vec{a}$ and $\vec{b}$. The mechanism that carries the argument is that $\vec{b}(\omega)$, although slowly varying in frequency, has a well-defined polarization at each frequency, so an elliptical projection of the detected light can null the background while leaving the resonance; the quarter-wave plate in the detection path supplies the needed ellipticity. The second piece of machinery is polarization tomography itself: scanning the half-wave and quarter-wave plate angles while fitting each spectrum with the Fano form yields $q$ as a function of waveplate setting, and the divergence of $q$ marks the background-nulling polarization.

What would settle it

A direct metrology test: measure the actual hole radii and membrane thickness of the probed cavity, for example by transmission electron microscopy or atomic-force profilometry, and recompute the quasinormal-mode energies. If the geometry variations needed to explain the 8 meV red shift of the high-Q mode also shift the simulated low-Q mode by more than the observed 3 meV agreement, the assignment of the measured low-Q feature to that eigenmode is not supported; conversely, a geometry consistent with both assignments would confirm it.

Watch

Extended reading notes

Core claim

At the center of the paper is the finding that the background field in confocal reflection from an extreme-dielectric-confinement nanocavity has a definite, generally elliptical polarization at each frequency, so a detection polarization can be chosen at which the projected background nearly vanishes. At the waveplate setting θλ/2 = −4° and θλ/4 ≈ 44–50°, the background reflectivity at the high-Q resonance drops from roughly 7×10−3 to about 9×10−5, the Fano asymmetry parameter q diverges, and the high-Q mode at 1.1162 eV appears as a Lorentzian-like peak. With the background gone, a second resonance at 1.1007 eV with Q = 48±1 becomes clearly visible in H-polarized detection; it is orthogonally polarized to the high-Q V-polarized mode, and eigenmode simulations find a matching quasinormal mode at 1.0975 eV with Q = 46.6±0.4. The paper further shows that in a symmetry-forbidden configuration (V input, H output), both modes remain visible at sub-0.3% reflectivity, which the authors attribute to weak off-diagonal reflection elements from imperfect symmetry or alignment.

Load-bearing premise

The low-Q mode counts as a genuine cavity resonance only if the simulated geometry based on SEM images is close enough to the fabricated cavity that the simulated low-Q eigenmode (1.0975 eV, Q = 46.6) corresponds to the measured feature (1.1007 eV, Q = 48); the paper explains the larger 8 meV high-Q discrepancy by fabrication imperfections without directly measuring the geometry of the specific probed cavity.

Editorial extensions

If this is right

  • In any confocal reflection spectrum where the background is polarized, rotating the detection waveplates to the nulling projection converts a Fano feature into a Lorentzian peak, which makes resonance energy and quality-factor fits more direct and less ambiguous.
  • The nulling procedure uncovers resonances that sit close in frequency to a stronger mode and are otherwise hidden under the Fano interference; here it reveals the H-polarized low-Q mode next to the V-polarized high-Q mode.
  • Symmetry-forbidden cross-polarization settings, with input along one mode and detection along the orthogonal mode, can resolve both modes simultaneously in a single spectrum, despite reflectivity below 0.3%.
  • The vectorial Fano model and the polarization-nulling method are not limited to dielectric bowtie cavities; the paper states they can be applied to other nanocavity systems, including plasmonic resonators.
  • The method complements scattering-type near-field microscopy by giving cavity polarization properties and background-free resonance characterization in a standard confocal reflection setup.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the background has a definite polarization at every frequency, then a single optimized elliptical projection should also serve as a background-free monitoring channel for resonance shifts in sensing or switching experiments, which the paper does not demonstrate.
  • The persistence of both modes in the symmetry-forbidden configuration suggests that off-diagonal reflection elements, though weak, carry usable symmetry information; this could be developed into a far-field test of mode symmetry without near-field mapping.
  • The paper notes that a 3 nm change in the central hole radius shifts the high-Q resonance by about 20 meV; a similar sensitivity analysis for the low-Q eigenmode would sharpen the assignment of the measured 1.1007 eV feature to the simulated 1.0975 eV mode.
  • Because the q-divergence marks the background-nulling projection, a waveplate scan may serve as a general diagnostic for separating the resonant and background contributions in any Fano-resonant system with a vectorial background.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 5 minor

Summary. The paper reports polarization-resolved confocal reflection spectroscopy of an extreme dielectric confinement (EDC) nanocavity. The authors introduce a vectorial model in which the measured field is the sum of a slowly varying polarized background and a resonant quasinormal-mode contribution, and they show explicitly that this produces the standard Fano formula (Eq. 3, with the derivation in SI S1). Experimentally, they find that the Fano background is strongly polarization dependent and can be almost completely suppressed over a narrow frequency range by detecting a specific elliptical polarization, turning the lineshape into a Lorentzian-like peak. This background suppression reveals a second, low-Q mode that is orthogonally polarized to the previously reported high-Q mode. The measured low-Q mode at E=1.1007 eV, Q=48 is compared with an FEM eigenmode at E=1.0975 eV, Q=46.6, and the paper claims this is a previously unreported resonance of these nanocavities. The paper also reports observations of the high-Q mode in a symmetry-forbidden cross-polarization configuration.

Significance. If the central identification is secure, the paper presents a useful and broadly applicable technique: polarization tomography with elliptical detection can suppress the Fano background and isolate spectrally close resonances in dielectric nanocavities. The vector model and the explicit derivation in SI S1 are clear and correct, and the main polarization-suppression effect is directly visible in the spectra of Fig. 6a. The low-Q mode identification is supported by a good agreement in energy (3 meV) and quality factor (46.6 vs 48) between FEM simulation and experiment, which is a strong point. However, the significance of the headline claim ('another resonance that has not yet been experimentally reported') depends on the reliability of the FEM mode assignment, and that reliability is weakened by the simulation's poor quantitative agreement for the high-Q mode and by the use of geometry from a clone cavity rather than the measured structure.

major comments (3)
  1. [Sec. S7 and abstract]
  2. [Sec. S6 and Fig. S5]
  3. [Sec. VI and Fig. VI.1/VI.2]
minor comments (5)
  1. [Eq. (3)]
  2. [Sec. IV, Fig. 6]
  3. [SI S1]
  4. [SI S5]
  5. [Sec. IV]

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the Fano-model derivation is explicit algebra, and the low-Q-mode identification rests on FEM eigenmode calculations that are not fitted to the measured feature.

full rationale

The paper's central derivation chain is self-contained. The vector field model in Eq. 2 is converted to the Fano power spectrum in Eq. 3 by explicit algebra in Sec. S1, with no step in which an output quantity is defined in terms of the claimed result. The background-suppression claim is a direct experimental observation supported by spectra and by fits where E0 and gamma are fixed from an independent parallel-polarization fit; the extracted q is a descriptive fit parameter, not a predicted quantity. The identification of the low-Q mode is based on FEM eigenmode simulations using an SEM-derived geometry, giving Re E = 1.0975 eV and Q = 46.6, compared with the measured E = 1.1007 eV and Q = 48. These simulated values are not tuned to the measurement, and the large high-Q-mode discrepancy (8 meV energy shift, Q = 723 simulated versus 265 measured) shows that the numerical comparison is not constructed to force agreement. The stated limitation that the SEM geometry comes from a clone cavity and that near-field confirmation of the low-Q mode is not possible is a correctness or uncertainty concern, not a circularity: the simulation remains externally derived evidence rather than a restatement of the experimental result. No load-bearing self-citation chain or fitted-input-called-prediction step was found.

Assumptions & free parameters 4 free parameters · 4 assumptions · 0 invented entities

The central claims rest on standard QNM and Fano formalisms plus fitted line-shape parameters. The main structural assumption is that the SEM-based FEM geometry corresponds to the fabricated sample closely enough that the simulated low-Q mode is the measured one, despite significant high-Q discrepancies. The free parameters are all line-shape fits; no new physical constants are introduced.

free parameters (4)
  • Fano fit parameters for the high-Q mode = E0=1.1162 +/- 0.0001 eV, Q=265 +/- 8, F0=(14.3 +/- 0.4)e-3, q=0.74 +/- 0.02
    Fitted to the parallel-polarization reflection spectrum in Fig. VI.1; these values anchor the q-extraction in Fig. 6b.
  • Fano fit parameters for the low-Q mode = E0=1.1007 +/- 0.0003 eV, Q=48 +/- 1, F0=(16.0 +/- 0.3)e-3, q=-0.45 +/- 0.04
    Fitted to the H-parallel spectrum in Fig. VI.2; used for mode identification.
  • Linear offset spectrum A0(Eph) = high-Q: A0 approx -0.91 + 0.82 Eph/eV; low-Q: A0 approx -0.28 + 0.25 Eph/eV
    Assumed linear in each fit window as a first-order Taylor approximation of the background; it is a free parameter in every Fano fit.
  • q and F0 in the polarization series = q(theta_lambda/4) shown in Fig. 6b and q(theta_lambda/2) in Fig. VII.1b; F0 free per spectrum
    Extracted per spectrum with E0 and gamma fixed from the high-Q parallel fit; the divergence of |q| at theta_lambda/4 approx 44-50 degrees is the evidence for the Lorentzian-like transition.
assumptions (4)
  • domain assumption The reflected field is described by S = b + a/(1 - i(omega-omega0)/gamma) with a slowly varying background b(omega) and frequency-independent mode vector a (Eq. 2).
    Invoked in Sec. II to derive the Fano power spectrum; assumes the background's polarization is stable over the resonance window and the mode coupling is constant.
  • domain assumption The beamsplitter correction factor chi(omega) is approximately constant in the spectral range of Fig. 6a and can be neglected for the elliptical detection polarizations.
    Stated in Sec. IV when presenting Fig. 6a; if chi(omega) varied strongly, the fitted q values and background-suppression claim could be affected, though the raw spectral shapes are still visible.
  • standard math Quasinormal modes from the FEM solution of the Helmholtz equation with scattering boundary conditions correctly represent the cavity resonances (Sec. S7, Eq. S11).
    This is the standard QNM framework widely used in nanophotonics; the paper applies it via FEM rather than proving it.
  • ad hoc to paper The fabricated cavity's geometry is close enough to the SEM-based FEM model that the simulated modes correspond to the measured modes, with discrepancies attributed to fabrication imperfections without direct verification (Sec. S7).
    The simulation gives high-Q energy 8 meV below and Q=723 versus measured 265; the paper asserts fabrication variation as the cause. This assumption is load-bearing for the low-Q mode identification.

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Cite this review

Pith. "Pith review of Confocal polarization tomography of dielectric nanocavities." pith.science (2026). https://pith.science/paper/7GEEMOIZ

@misc{pith2026241212943,
  author       = {Pith},
  title        = {Pith review of: Confocal polarization tomography of dielectric nanocavities},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/7GEEMOIZ}},
  note         = {Machine review of arXiv:2412.12943}
}
read the original abstract

We employ polarization tomography to characterize the modal properties of a dielectric nanocavity with sub-wavelength mode confinement. Our analysis of reflection spectra shows that the Fano-lineshape depends strongly on the polarization in a confocal configuration, and that the lineshape can be transformed into a Lorentzian-like peak for a certain polarization. For this polarization setting, the background is almost fully suppressed in a finite range of frequencies. This enables us to identify another resonance that has not yet been experimentally reported for these nanocavities. Lastly, we use symmetry-forbidden polarizations and show that, surprisingly, the modal resonance features of the system remain visible.

Figures

Figures reproduced from arXiv: 2412.12943 by the authors.

Figure 1
Figure 1. a) SEM image of a nominal equal cavity, defining the cartesian coordinates X and Y , as well as the linear polarizations Hˆ , Vˆ , Dˆ and Aˆ. The center of the cavity is taken as the origin of X and Y . b) Sketch of a cross-section of the sample. The SiO2 layer is etched under the cavity region, e.g. in the structured circular region in a) with a diameter of ≈ 3.5 µm. III. SAMPLE AND SETUP We investigated an EDC cav… view at source ↗
Figure 3
Figure 3. Reflection spectra of the cavity as a function of the [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Spectra at different Y positions in the conven￾tional cross-polarization configuration Eˆin = Aˆ, Eˆout = Dˆ. The blue and red arrows mark the resonances of the high-Q mode and of the low-Q mode deduced from fits, respectively (cf. Fig. VI.1 and Fig. VI.2). The black arrow marks the resonance of the whispering gallery-like mode as a guide to the eye. respectively. Very importantly, we study the influence of polariza… view at source ↗
Figures from the paper (2 more)
Figure 5
Figure 5. Figure 5: Reflection spectrum in the center of the cavity [PITH_FULL_IMAGE:figures/full_fig_p005_5.png]
Figure 7
Figure 7. Figure 7: Spectrum in the center of the cavity for [PITH_FULL_IMAGE:figures/full_fig_p006_7.png]

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Reference graph

Works this paper leans on

65 extracted references · 65 canonical work pages · cited by 1 Pith paper

  1. [1]

    Painter, R

    O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim. Two-dimensional photonic band-gap defect mode laser.Science, 284(5421):1819–1821, 1999

  2. [2]

    High-Q photonic nanocavity in a two- dimensional photonic crystal

    Yoshihiro Akahane, Takashi Asano, Bong Shik Song, and Susumu Noda. High-Q photonic nanocavity in a two- dimensional photonic crystal. Nature, 425(6961):944–947, 2003

  3. [3]

    Topological photonic crystal nanocavity laser.Commun

    Yasutomo Ota, Ryota Katsumi, Katsuyuki Watanabe, Satoshi Iwamoto, and Yasuhiko Arakawa. Topological photonic crystal nanocavity laser.Commun. Phys., 1(1):4–6, 2018

  4. [4]

    Interfacing single photons and single quantum dots with photonic nanostructures

    Peter Lodahl, Sahand Mahmoodian, and Søren Stobbe. Interfacing single photons and single quantum dots with photonic nanostructures. Rev. Mod. Phys., 87(2):347–400, may 2015

  5. [5]

    High-speed ultracompact buried heterostructure photonic-crystal laser with 13 fJ of energy consumed per bit transmitted.Nat

    Shinji Matsuo, Akihiko Shinya, Takaaki Kakitsuka, Kengo Nozaki, Toru Segawa, Tomonari Sato, Yoshihiro Kawaguchi, and Masaya Notomi. High-speed ultracompact buried heterostructure photonic-crystal laser with 13 fJ of energy consumed per bit transmitted.Nat. Photonics, 4(9):648–654, 2010

  6. [6]

    Hybrid indium phosphide-on-silicon nanolaser diode.Nat

    Guillaume Crosnier, Dorian Sanchez, Sophie Bouchoule, Paul Monnier, Gregoire Beaudoin, Isabelle Sagnes, Rama Raj, and Fabrice Raineri. Hybrid indium phosphide-on-silicon nanolaser diode.Nat. Photonics, 11(5):297–300, may 2017

  7. [7]

    Michler, A

    P. Michler, A. Kiraz, C. Becher, W. V. Schoenfeld, P. M. Petroff, L. Zhang, E. Hu, and A. Imamoˇ glu. A quantum dot single-photon turnstile device. Science, 290(5500):2282–2285, 2000

  8. [8]

    J. P. Reithmaier, G. Sek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel. Strong coupling in a single quantum dot-semiconductor microcavity system.Nature, 432(7014):197–200, 2004

Show all 65 references
  1. [9]

    T. G. Tiecke, J. D. Thompson, N. P. De Leon, L. R. Liu, V. Vuletić, and M. D. Lukin. Nanophotonic quantum phase switch with a single atom.Nature, 508(7495):241–244, 2014

  2. [10]

    Vajner, Lucas Rickert, Timm Gao, Koray Kaymazlar, and Tobias Heindel

    Daniel A. Vajner, Lucas Rickert, Timm Gao, Koray Kaymazlar, and Tobias Heindel. Quantum Communication Using Semiconductor Quantum Dots. Adv. Quantum Technol., 5(7):1–40, 2022

  3. [11]

    Robinson, Christina Manolatou, Long Chen, and Michal Lipson

    Jacob T. Robinson, Christina Manolatou, Long Chen, and Michal Lipson. Ultrasmall mode volumes in dielectric optical microcavities. Phys. Rev. Lett., 95(14):1–4, 2005

  4. [12]

    Shuren Hu and Sharon M. Weiss. Design of photonic crystal cavities for extreme light concentration.ACS Photonics, 3(9):1647–1653, August 2016

  5. [13]

    Self-Similar Nanocavity Design with Ultrasmall Mode Volume for Single-Photon Nonlinearities

    Hyeongrak Choi, Mikkel Heuck, and Dirk Englund. Self-Similar Nanocavity Design with Ultrasmall Mode Volume for Single-Photon Nonlinearities. Phys. Rev. Lett., 118(22):1–6, 2017. 23

  6. [14]

    Shuren Hu, Marwan Khater, Rafael Salas-Montiel, Ernst Kratschmer, Sebastian Engelmann, William M. J. Green, and Sharon M. Weiss. Experimental realization of deep-subwavelength confinement in dielectric optical resonators.Science Advances, 4(8), August 2018

  7. [15]

    Self-assembled photonic cavities with atomic-scale confinement.Nature, 624(7990):57–63, 2023

    Ali Nawaz Babar, Thor August Schimmell Weis, Konstantinos Tsoukalas, Shima Kadkhodazadeh, Guillermo Arregui, Babak Vosoughi Lahijani, and Søren Stobbe. Self-assembled photonic cavities with atomic-scale confinement.Nature, 624(7990):57–63, 2023

  8. [16]

    Nanometer-scale photon confinement in topology-optimized dielectric cavities.Nat

    Marcus Albrechtsen, Babak Vosoughi Lahijani, Rasmus Ellebæk Christiansen, Vy Thi Hoang Nguyen, Laura Nevenka Casses, Søren Engelberth Hansen, Nicolas Stenger, Ole Sigmund, Henri Jansen, Jesper Mørk, and Søren Stobbe. Nanometer-scale photon confinement in topology-optimized die...

  9. [17]

    Experimental realization of deep sub-wavelength confinement of light in a topology-optimized InP nanocavity.Opt

    Meng Xiong, Rasmus Ellebæk Christiansen, Frederik Schröder, Yi Yu, Laura Nevenka Casses, Elizaveta Semenova, Kresten Yvind, Nicolas Stenger, Ole Sigmund, and Jesper Mørk. Experimental realization of deep sub-wavelength confinement of light in a topology-optimized InP nanocavit...

  10. [18]

    Jensen and O

    Jakob S. Jensen and O. Sigmund. Topology optimization for nano-photonics. Laser Photonics Rev. , 5(2):308–321, 2011

  11. [19]

    Piggott, Weiliang Jin, Jelena Vucković, and Alejandro W

    Sean Molesky, Zin Lin, Alexander Y. Piggott, Weiliang Jin, Jelena Vucković, and Alejandro W. Rodriguez. Inverse design in nanophotonics. Nat. Photonics, 12(11):659–670, 2018

  12. [20]

    Maximizing the quality factor to mode volume ratio for ultra-small photonic crystal cavities.Appl

    Fengwen Wang, Rasmus Ellebæk Christiansen, Yi Yu, Jesper Mørk, and Ole Sigmund. Maximizing the quality factor to mode volume ratio for ultra-small photonic crystal cavities.Appl. Phys. Lett. , 113(24), dec 2018

  13. [21]

    Modal properties of dielectric bowtie cavities with deep sub-wavelength confinement.Opt

    George Kountouris, Jesper Mørk, Emil Vosmar Denning, and Philip Trøst Kristensen. Modal properties of dielectric bowtie cavities with deep sub-wavelength confinement.Opt. Express, 30(22):40367, oct 2022

  14. [22]

    Ron Shen

    Feng Wang and Y. Ron Shen. General properties of local plasmons in metal nanostructures.Phys. Rev. Lett., 97(20):1– 4, 2006

  15. [23]

    Naik, Vladimir M

    Gururaj V. Naik, Vladimir M. Shalaev, and Alexandra Boltasseva. Alternative plasmonic materials: Beyond gold and silver. Adv. Mater., 25(24):3264–3294, 2013

  16. [24]

    Jacob B. Khurgin. How to deal with the loss in plasmonics and metamaterials.Nat. Nanotechnol., 10(1):2–6, 2015

  17. [25]

    Bueno and Melanie C

    Juan M. Bueno and Melanie C. W. Campbell. Confocal scanning laser ophthalmoscopy improvement by use of Mueller- matrix polarimetry. Opt. Lett., 27(10):830, 2002

  18. [26]

    Electrically-driven Photonic Crystal Lasers with Ultra-low Threshold

    Evangelos Dimopoulos, Aurimas Sakanas, Andrey Marchevsky, Meng Xiong, Yi Yu, Elizaveta Semenova, Jesper Mørk, and Kresten Yvind. Electrically-driven Photonic Crystal Lasers with Ultra-low Threshold. Laser Photonics Rev. , 2200109:1–11, 2022

  19. [27]

    M. P. van Exter, M. B. Willemsen, and J. P. Woerdman. Polarization fluctuations in vertical-cavity semiconductor lasers. Phys. Rev. A , 58(5):4191–4205, nov 1998

  20. [28]

    M. B. Willemsen, M. P. van Exter, and J. P. Woerdman. Anatomy of a Polarization Switch of a Vertical-Cavity Semiconductor Laser. Phys. Rev. Lett., 84(19):4337–4340, may 2000

  21. [29]

    U. Fano. Effects of Configuration Interaction on Intensities and Phase Shifts.Phys. Rev., 124(6):1866–1878, dec 1961

  22. [30]

    Galli, S

    M. Galli, S. L. Portalupi, M. Belotti, L. C. Andreani, L. O’Faolain, and T. F. Krauss. Light scattering and Fano resonances in high-Q photonic crystal nanocavities.Appl. Phys. Lett. , 94(7):2007–2010, 2009

  23. [31]

    In-Plane Photonic Crystal Devices using Fano Resonances

    Dagmawi Bekele, Yi Yu, Kresten Yvind, and Jesper Mork. In-Plane Photonic Crystal Devices using Fano Resonances. Laser Photon. Rev., 13(12), dec 2019

  24. [32]

    Ropers, D

    C. Ropers, D. J. Park, G. Stibenz, G. Steinmeyer, J. Kim, D. S. Kim, and C. Lienau. Femtosecond light transmission and subradiant damping in plasmonic crystals.Phys. Rev. Lett., 94(11):1–4, 2005

  25. [33]

    Miroshnichenko, Sergej Flach, and Yuri S

    Andrey E. Miroshnichenko, Sergej Flach, and Yuri S. Kivshar. Fano resonances in nanoscale structures.Rev. Mod. Phys., 82(3):2257–2298, aug 2010

  26. [34]

    De Dood, Eduard F.C

    Michiel J.A. De Dood, Eduard F.C. Driessen, Daniël Stolwijk, and Martin P. Van Exter. Observation of coupling between surface plasmons in index-matched hole arrays.Phys. Rev. B - Condens. Matter Mater. Phys. , 77(11):1–5, 2008

  27. [35]

    H. Y. Lo, C. Y. Chan, and H. C. Ong. Direct measurement of radiative scattering of surface plasmon polariton resonance from metallic arrays by polarization-resolved reflectivity spectroscopy.Appl. Phys. Lett. , 101(22), 2012

  28. [36]

    Fano resonance control in a photonic crystal structure and its application to ultrafast switching

    Yi Yu, Mikkel Heuck, Hao Hu, Weiqi Xue, Christophe Peucheret, Yaohui Chen, Leif Katsuo Oxenløwe, Kresten Yvind, and Jesper Mørk. Fano resonance control in a photonic crystal structure and its application to ultrafast switching. Appl. Phys. Lett. , 105(6), 2014

  29. [37]

    Limonov, Mikhail V

    Mikhail F. Limonov, Mikhail V. Rybin, Alexander N. Poddubny, and Yuri S. Kivshar. Fano resonances in photonics. Nat. Photonics, 11(9):543–554, 2017

  30. [38]

    Tailoring Fano Lineshape in Photonic Local Density of States by Losses Engineering

    Nicoletta Granchi and Massimo Gurioli. Tailoring Fano Lineshape in Photonic Local Density of States by Losses Engineering. Adv. Quantum Technol., 7(1):1–7, jan 2024

  31. [39]

    Avrutsky, R

    I. Avrutsky, R. Gibson, J. Sears, G. Khitrova, H. M. Gibbs, and J. Hendrickson. Linear systems approach to describing and classifying Fano resonances.Phys. Rev. B - Condens. Matter Mater. Phys. , 87(12):1–6, 2013

  32. [40]

    Povinelli

    Ningfeng Huang, Luis Javier Martínez, and Michelle L. Povinelli. Tuning the transmission lineshape of a photonic crystal slab guided-resonance mode by polarization control.Opt. Express, 21(18):20675, 2013

  33. [41]

    Tunable Fano-Like Lineshape in an Adiabatic Tapered Fiber Coupled to a Hollow Bottle Microresonator

    Zeinab Chenari, Hamid Latifi, Omid Reza Ranjbar-Naeini, Mohammad Ismaeel Zibaii, Ebrahim Behroodi, and Amir Asadollahi. Tunable Fano-Like Lineshape in an Adiabatic Tapered Fiber Coupled to a Hollow Bottle Microresonator. 24 J. Light. Technol., 36(3):735–741, 2018

  34. [42]

    Polarization-modified Fano line shape spectrum with a single whispering gallery mode

    Peng Fa Chang, Bo Tao Cao, Li Gang Huang, Ji Wei Li, Yue Hu, Feng Gao, Wen Ding Zhang, Fang Bo, Xuan Yi Yu, Guo Quan Zhang, and Jing Jun Xu. Polarization-modified Fano line shape spectrum with a single whispering gallery mode. Sci. China Physics, Mech. Astron. , 63(1):1–5, 2020

  35. [43]

    Dynamic reversal of Fano response of metagratings by rotation of linear polarization.Phys

    Binghua Zhang, Shengxuan Xia, Wei Xu, Xiang Zhai, Hongju Li, and Lingling Wang. Dynamic reversal of Fano response of metagratings by rotation of linear polarization.Phys. Rev. B , 110(3):1–9, 2024

  36. [44]

    J. P. Vasco, H. Vinck-Posada, P. T. Valentim, and P. S. S. Guimãraes. Modeling of Fano resonances in the reflectivity of photonic crystal cavities with finite spot size excitation.Opt. Express, 21(25):31336, 2013

  37. [45]

    Cavity-induced exciton localization and polariton blockade in two-dimensional semiconductors coupled to an electromagnetic resonator.Phys

    Emil V Denning, Martijn Wubs, Nicolas Stenger, Jesper Mørk, and Philip Trøst Kristensen. Cavity-induced exciton localization and polariton blockade in two-dimensional semiconductors coupled to an electromagnetic resonator.Phys. Rev. Res., 4(1):L012020, 2022

  38. [46]

    Squeezing of intensity noise in nanolasers and nanoLEDs with extreme dielectric confinement

    Jesper Mork and Kresten Yvind. Squeezing of intensity noise in nanolasers and nanoLEDs with extreme dielectric confinement. Optica, 7(11):1641, nov 2020

  39. [47]

    Shanhui Fan, Wonjoo Suh, and J. D. Joannopoulos. Temporal coupled-mode theory for the Fano resonance in optical resonators. J. Opt. Soc. Am. A , 20(3):569, mar 2003

  40. [48]

    On the Theory of Coupled Modes in Optical Cavity-Waveguide Structures.J

    Philip Trost Kristensen, Jakob Rosenkrantz De Lasson, Mikkel Heuck, Niels Gregersen, and Jesper Mork. On the Theory of Coupled Modes in Optical Cavity-Waveguide Structures.J. Light. Technol., 35(19):4247–4259, 2017

  41. [49]

    Shanhui Fan, Wonjoo Suh, and J. D. Joannopoulos. Temporal coupled-mode theory for the fano resonance in optical resonators. J. Opt. Soc. Am. A , 20(3):569–572, 2003

  42. [50]

    E. S. C. Ching, P. T. Leung, A. Maassen van den Brink, W. M. Suen, S. S. Tong, and K. Young. Quasinormal-mode expansion for waves in open systems.Reviews of Modern Physics , 70:1545–1554, 1998

  43. [51]

    Modes and mode volumes of leaky optical cavities and plasmonic nanoresonators

    Philip Trøst Kristensen and Stephen Hughes. Modes and mode volumes of leaky optical cavities and plasmonic nanoresonators. ACS Photonics, 1:2–10, 2013

  44. [52]

    Light interaction with photonic and plasmonic resonances

    Philippe Lalanne, Wei Yan, Kevin Vynck, Christophe Sauvan, and Jean-Paul Hugonin. Light interaction with photonic and plasmonic resonances. Laser & Photonics Reviews , 12:1700113, 2018

  45. [53]

    Modeling electromagnetic resonators using quasinormal modes

    Philip Trøst Kristensen, Kathrin Herrmann, Francesco Intravaia, and Kurt Busch. Modeling electromagnetic resonators using quasinormal modes. Advances in Optics and Photonics , 12:612, 2020

  46. [54]

    Resonant states and their uses.Nuclear Physics A , 265:443–460, 1976

    Gastón García-Calderón and Rudolf Peierls. Resonant states and their uses.Nuclear Physics A , 265:443–460, 1976

  47. [55]

    E. A. Muljarov, W. Langbein, and R. Zimmermann. Brillouin-wigner perturbation theory in open electromagnetic systems. EPL (Europhysics Letters), 92:50010, 2010

  48. [56]

    Resonant states and their role in nanophotonics

    S Both and T Weiss. Resonant states and their role in nanophotonics. Semiconductor Science and Technology , 37:013002, 2021

  49. [57]

    Please see Supplemental Material URL-will-be-inserted-by-publisher, for details of the calibration and resolution, far- field position scans, near-field measurements, and numerical simulations

  50. [58]

    Naylor, Wenjing Liu, A.T

    Bumsu Lee, Joohee Park, Gang Hee Han, Ho-Seok Ee, Carl H. Naylor, Wenjing Liu, A.T. Charlie Johnson, and Ritesh Agarwal. Fano Resonance and Spectrally Modified Photoluminescence Enhancement in Monolayer MoS 2 Integrated with Plasmonic Nanoantenna Array.Nano Lett., 15(5):3646–3...

  51. [59]

    Casses, Korbinian J

    Laura N. Casses, Korbinian J. Kaltenecker, Sanshui Xiao, Martijn Wubs, and Nicolas Stenger. Quantitative near-field characterization of surface plasmon polaritons on monocrystalline gold platelets.Opt. Express, 30(7):11181, 2022

  52. [60]

    Wiley, New York, 1991

    Bahaa E A Saleh and Malvin Carl Teich.Fundamentals of photonics . Wiley, New York, 1991

  53. [61]

    Raschke and Christoph Lienau

    Markus B. Raschke and Christoph Lienau. Apertureless near-field optical microscopy: Tip-sample coupling in elastic light scattering. Appl. Phys. Lett. , 83(24):5089–5091, 2003

  54. [62]

    Casses, Binbin Zhou, Qiaoling Lin, Annie Tan, Diane-Pernille Bendixen-Fernex de Mongex, Korbinian J

    Laura N. Casses, Binbin Zhou, Qiaoling Lin, Annie Tan, Diane-Pernille Bendixen-Fernex de Mongex, Korbinian J. Kaltenecker, Sanshui Xiao, Martijn Wubs, and Nicolas Stenger. Full Quantitative Near-Field Characterization of Strongly Coupled Exciton–Plasmon Polaritons in Thin-Laye...

  55. [63]

    Enhanced dielectric contrast in scattering-type scanning near-field optical mi- croscopy

    Bernhard Knoll and Fritz Keilmann. Enhanced dielectric contrast in scattering-type scanning near-field optical mi- croscopy. Opt. Commun., 182(4):321–328, 2000

  56. [64]

    Pseudoheterodyne detection for background-free near-field spectroscopy

    Nenad Ocelic, Andreas Huber, and Rainer Hillenbrand. Pseudoheterodyne detection for background-free near-field spectroscopy. Appl. Phys. Lett. , 89(10):87–90, 2006

  57. [65]

    Modeling electromagnetic resonators using quasinormal modes: Erratum

    Philip Trøst Kristensen, Kathrin Herrmann, Francesco Intravaia, and Kurt Busch. Modeling electromagnetic resonators using quasinormal modes: Erratum. Adv. Opt. Photonics , 13(4):834, 2021

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Reviewed August 11, 2026 · model on record in the stance chip above.