Abstract

All-dielectric metasurfaces are a versatile platform to investigate a host of unconventional physical scattering responses. Effects, including high absorption and Huygens’ surfaces, have been demonstrated; however, a more exotic materialization—termed bound states in the continuum (BSCs)—exists and consists of nonradiating localized waves that lie within the energy spectrum of the continuum. Here we experimentally demonstrate a dynamic BSC at terahertz frequencies that realizes a material-limited high-quality factor (Q) resonance Q=8.7×103, which may be modified by over 2 orders of magnitude through photodoping with band gap light. We elucidate the nature of the BSC resonance, and our experimental results are well supported by eigenvalue and S-parameter simulations. The demonstrated system and underlying theory establish a path to realize extremely high-Q dynamic resonances, which may be useful for detection of hazardous materials and frequency-diverse imaging.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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    [Crossref]
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    [Crossref]
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    [Crossref]
  26. E. Penzo, S. Romano, Y. Wang, S. Dhuey, L. Dal Negro, V. Mocella, and S. Cabrini, “Patterning of electrically tunable light-emitting photonic structures demonstrating bound states in the continuum,” J. Vac. Sci. Technol. B 35, 06G401 (2017).
    [Crossref]
  27. L. Carletti, K. Koshelev, C. De Angelis, and Y. Kivshar, “Giant nonlinear response at the nanoscale driven by bound states in the continuum,” Phys. Rev. Lett. 121, 033903 (2018).
    [Crossref]
  28. W. Zhang, A. Charous, M. Nagai, D. M. Mittleman, and R. Mendis, “Extraordinary optical reflection resonances and bound states in the continuum from a periodic array of thin metal plates,” Opt. Express 26, 13195 (2018).
    [Crossref]
  29. S. D. Krasikov, A. A. Bogdanov, and I. V. Iorsh, “Nonlinear bound states in the continuum of a one-dimensional photonic crystal slab,” Phys. Rev. B 97, 224309 (2018).
    [Crossref]

2018 (4)

L. Carletti, K. Koshelev, C. De Angelis, and Y. Kivshar, “Giant nonlinear response at the nanoscale driven by bound states in the continuum,” Phys. Rev. Lett. 121, 033903 (2018).
[Crossref]

S. D. Krasikov, A. A. Bogdanov, and I. V. Iorsh, “Nonlinear bound states in the continuum of a one-dimensional photonic crystal slab,” Phys. Rev. B 97, 224309 (2018).
[Crossref]

E. N. Bulgakov, D. N. Maksimov, P. N. Semina, and S. A. Skorobogatov, “Propagating bound states in the continuum in dielectric gratings,” J. Opt. Soc. Am. B 35, 1218–1222 (2018).
[Crossref]

W. Zhang, A. Charous, M. Nagai, D. M. Mittleman, and R. Mendis, “Extraordinary optical reflection resonances and bound states in the continuum from a periodic array of thin metal plates,” Opt. Express 26, 13195 (2018).
[Crossref]

2017 (4)

A. Kodigala, T. Lepetit, Q. Gu, B. Bahari, Y. Fainman, and B. Kanté, “Lasing action from photonic bound states in continuum,” Nature 541, 196–199 (2017).
[Crossref]

E. Penzo, S. Romano, Y. Wang, S. Dhuey, L. Dal Negro, V. Mocella, and S. Cabrini, “Patterning of electrically tunable light-emitting photonic structures demonstrating bound states in the continuum,” J. Vac. Sci. Technol. B 35, 06G401 (2017).
[Crossref]

M. V. Rybin, K. L. Koshelev, Z. F. Sadrieva, K. B. Samusev, A. A. Bogdanov, M. F. Limonov, and Y. S. Kivshar, “High-q supercavity modes in subwavelength dielectric resonators,” Phys. Rev. Lett. 119, 243901 (2017).
[Crossref]

L. Yuan and Y. Y. Lu, “Propagating bloch modes above the lightline on a periodic array of cylinders,” J. Phys. B 50, 05LT01 (2017).
[Crossref]

2016 (1)

C. W. Hsu, B. Zhen, A. D. Stone, J. D. Joannopoulos, and M. Soljačić, “Bound states in the continuum,” Nat. Rev. Mater. 1, 16048 (2016).
[Crossref]

2015 (1)

E. N. Bulgakov and A. F. Sadreev, “Light trapping above the light cone in a one-dimensional array of dielectric spheres,” Phys. Rev. A 92, 023816 (2015).
[Crossref]

2014 (4)

E. N. Bulgakov and A. F. Sadreev, “Bloch bound states in the radiation continuum in a periodic array of dielectric rods,” Phys. Rev. A 90, 053801 (2014).
[Crossref]

J. M. Foley, S. M. Young, and J. D. Phillips, “Symmetry-protected mode coupling near normal incidence for narrow-band transmission filtering in a dielectric grating,” Phys. Rev. B 89, 165111 (2014).
[Crossref]

Y. Yang, C. Peng, Y. Liang, Z. Li, and S. Noda, “Analytical perspective for bound states in the continuum in photonic crystal slabs,” Phys. Rev. Lett. 113, 037401 (2014).
[Crossref]

T. Lepetit and B. Kanté, “Controlling multipolar radiation with symmetries for electromagnetic bound states in the continuum,” Phys. Rev. B 90, 241103 (2014).
[Crossref]

2012 (2)

S. P. Shipman and H. Tu, “Total resonant transmission and reflection by periodic structures,” SIAM J. Appl. Math. 72, 216–239 (2012).
[Crossref]

J. Lee, B. Zhen, S.-L. Chua, W. Qiu, J. D. Joannopoulos, M. Soljačić, and O. Shapira, “Observation and differentiation of unique high-q optical resonances near zero wave vector in macroscopic photonic crystal slabs,” Phys. Rev. Lett. 109, 067401 (2012).
[Crossref]

2011 (2)

Y. Plotnik, O. Peleg, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, and M. Segev, “Experimental observation of optical bound states in the continuum,” Phys. Rev. Lett. 107, 183901 (2011).
[Crossref]

E. Bulgakov and A. Sadreev, “Formation of bound states in the continuum for a quantum dot with variable width,” Phys. Rev. B 83, 235321 (2011).
[Crossref]

2008 (1)

D. C. Marinica, A. G. Borisov, and S. V. Shabanov, “Bound states in the continuum in photonics,” Phys. Rev. Lett. 100, 183902 (2008).
[Crossref]

2005 (1)

S. P. Shipman and S. Venakides, “Resonant transmission near nonrobust periodic slab modes,” Phys. Rev. E 71, 026611 (2005).
[Crossref]

2002 (1)

S. Fan and J. D. Joannopoulos, “Analysis of guided resonances in photonic crystal slabs,” Phys. Rev. B 65, 235112 (2002).
[Crossref]

1997 (1)

M. Kanskar, P. Paddon, V. Pacradouni, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. MacKenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with a two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438 (1997).
[Crossref]

1994 (1)

B. Anne-Sophie and S. Felipe, “Guided waves by electromagnetic gratings and non-uniqueness examples for the diffraction problem,” Math. Methods Appl. Sci. 17, 305–338 (1994).
[Crossref]

1985 (1)

H. Friedrich and D. Wintgen, “Interfering resonances and bound states in the continuum,” Phys. Rev. A 32, 3231–3242 (1985).
[Crossref]

1975 (1)

F. H. Stillinger and D. R. Herrick, “Bound states in the continuum,” Phys. Rev. A 11, 446–454 (1975).
[Crossref]

Anne-Sophie, B.

B. Anne-Sophie and S. Felipe, “Guided waves by electromagnetic gratings and non-uniqueness examples for the diffraction problem,” Math. Methods Appl. Sci. 17, 305–338 (1994).
[Crossref]

Bahari, B.

A. Kodigala, T. Lepetit, Q. Gu, B. Bahari, Y. Fainman, and B. Kanté, “Lasing action from photonic bound states in continuum,” Nature 541, 196–199 (2017).
[Crossref]

Balezin, M. A.

M. A. Belyakov, M. A. Balezin, Z. F. Sadrieva, P. V. Kapitanova, E. A. Nenasheva, A. F. Sadreev, and A. A. Bogdanov, “Experimental observation of symmetry protected bound state in the continuum in a chain of dielectric disks,” arXiv:1806.01932 (2018).

Belyakov, M. A.

M. A. Belyakov, M. A. Balezin, Z. F. Sadrieva, P. V. Kapitanova, E. A. Nenasheva, A. F. Sadreev, and A. A. Bogdanov, “Experimental observation of symmetry protected bound state in the continuum in a chain of dielectric disks,” arXiv:1806.01932 (2018).

Bogdanov, A. A.

S. D. Krasikov, A. A. Bogdanov, and I. V. Iorsh, “Nonlinear bound states in the continuum of a one-dimensional photonic crystal slab,” Phys. Rev. B 97, 224309 (2018).
[Crossref]

M. V. Rybin, K. L. Koshelev, Z. F. Sadrieva, K. B. Samusev, A. A. Bogdanov, M. F. Limonov, and Y. S. Kivshar, “High-q supercavity modes in subwavelength dielectric resonators,” Phys. Rev. Lett. 119, 243901 (2017).
[Crossref]

M. A. Belyakov, M. A. Balezin, Z. F. Sadrieva, P. V. Kapitanova, E. A. Nenasheva, A. F. Sadreev, and A. A. Bogdanov, “Experimental observation of symmetry protected bound state in the continuum in a chain of dielectric disks,” arXiv:1806.01932 (2018).

A. A. Bogdanov, K. L. Koshelev, P. V. Kapitanova, M. V. Rybin, S. A. Gladyshev, Z. F. Sadrieva, K. B. Samusev, Y. S. Kivshar, and M. F. Limonov, “A direct link between Fano resonances and bound states in the continuum,” arXiv:1805.09265 (2018).

Borisov, A. G.

D. C. Marinica, A. G. Borisov, and S. V. Shabanov, “Bound states in the continuum in photonics,” Phys. Rev. Lett. 100, 183902 (2008).
[Crossref]

Bulgakov, E.

E. Bulgakov and A. Sadreev, “Formation of bound states in the continuum for a quantum dot with variable width,” Phys. Rev. B 83, 235321 (2011).
[Crossref]

Bulgakov, E. N.

E. N. Bulgakov, D. N. Maksimov, P. N. Semina, and S. A. Skorobogatov, “Propagating bound states in the continuum in dielectric gratings,” J. Opt. Soc. Am. B 35, 1218–1222 (2018).
[Crossref]

E. N. Bulgakov and A. F. Sadreev, “Light trapping above the light cone in a one-dimensional array of dielectric spheres,” Phys. Rev. A 92, 023816 (2015).
[Crossref]

E. N. Bulgakov and A. F. Sadreev, “Bloch bound states in the radiation continuum in a periodic array of dielectric rods,” Phys. Rev. A 90, 053801 (2014).
[Crossref]

Busch, A.

M. Kanskar, P. Paddon, V. Pacradouni, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. MacKenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with a two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438 (1997).
[Crossref]

Cabrini, S.

E. Penzo, S. Romano, Y. Wang, S. Dhuey, L. Dal Negro, V. Mocella, and S. Cabrini, “Patterning of electrically tunable light-emitting photonic structures demonstrating bound states in the continuum,” J. Vac. Sci. Technol. B 35, 06G401 (2017).
[Crossref]

Carletti, L.

L. Carletti, K. Koshelev, C. De Angelis, and Y. Kivshar, “Giant nonlinear response at the nanoscale driven by bound states in the continuum,” Phys. Rev. Lett. 121, 033903 (2018).
[Crossref]

Charous, A.

Chua, S.-L.

J. Lee, B. Zhen, S.-L. Chua, W. Qiu, J. D. Joannopoulos, M. Soljačić, and O. Shapira, “Observation and differentiation of unique high-q optical resonances near zero wave vector in macroscopic photonic crystal slabs,” Phys. Rev. Lett. 109, 067401 (2012).
[Crossref]

Dal Negro, L.

E. Penzo, S. Romano, Y. Wang, S. Dhuey, L. Dal Negro, V. Mocella, and S. Cabrini, “Patterning of electrically tunable light-emitting photonic structures demonstrating bound states in the continuum,” J. Vac. Sci. Technol. B 35, 06G401 (2017).
[Crossref]

De Angelis, C.

L. Carletti, K. Koshelev, C. De Angelis, and Y. Kivshar, “Giant nonlinear response at the nanoscale driven by bound states in the continuum,” Phys. Rev. Lett. 121, 033903 (2018).
[Crossref]

Dhuey, S.

E. Penzo, S. Romano, Y. Wang, S. Dhuey, L. Dal Negro, V. Mocella, and S. Cabrini, “Patterning of electrically tunable light-emitting photonic structures demonstrating bound states in the continuum,” J. Vac. Sci. Technol. B 35, 06G401 (2017).
[Crossref]

Dreisow, F.

Y. Plotnik, O. Peleg, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, and M. Segev, “Experimental observation of optical bound states in the continuum,” Phys. Rev. Lett. 107, 183901 (2011).
[Crossref]

Fainman, Y.

A. Kodigala, T. Lepetit, Q. Gu, B. Bahari, Y. Fainman, and B. Kanté, “Lasing action from photonic bound states in continuum,” Nature 541, 196–199 (2017).
[Crossref]

Fan, S.

S. Fan and J. D. Joannopoulos, “Analysis of guided resonances in photonic crystal slabs,” Phys. Rev. B 65, 235112 (2002).
[Crossref]

Felipe, S.

B. Anne-Sophie and S. Felipe, “Guided waves by electromagnetic gratings and non-uniqueness examples for the diffraction problem,” Math. Methods Appl. Sci. 17, 305–338 (1994).
[Crossref]

Foley, J. M.

J. M. Foley, S. M. Young, and J. D. Phillips, “Symmetry-protected mode coupling near normal incidence for narrow-band transmission filtering in a dielectric grating,” Phys. Rev. B 89, 165111 (2014).
[Crossref]

Friedrich, H.

H. Friedrich and D. Wintgen, “Interfering resonances and bound states in the continuum,” Phys. Rev. A 32, 3231–3242 (1985).
[Crossref]

Gladyshev, S. A.

A. A. Bogdanov, K. L. Koshelev, P. V. Kapitanova, M. V. Rybin, S. A. Gladyshev, Z. F. Sadrieva, K. B. Samusev, Y. S. Kivshar, and M. F. Limonov, “A direct link between Fano resonances and bound states in the continuum,” arXiv:1805.09265 (2018).

Gu, Q.

A. Kodigala, T. Lepetit, Q. Gu, B. Bahari, Y. Fainman, and B. Kanté, “Lasing action from photonic bound states in continuum,” Nature 541, 196–199 (2017).
[Crossref]

Heinrich, M.

Y. Plotnik, O. Peleg, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, and M. Segev, “Experimental observation of optical bound states in the continuum,” Phys. Rev. Lett. 107, 183901 (2011).
[Crossref]

Herrick, D. R.

F. H. Stillinger and D. R. Herrick, “Bound states in the continuum,” Phys. Rev. A 11, 446–454 (1975).
[Crossref]

Hsu, C. W.

C. W. Hsu, B. Zhen, A. D. Stone, J. D. Joannopoulos, and M. Soljačić, “Bound states in the continuum,” Nat. Rev. Mater. 1, 16048 (2016).
[Crossref]

Iorsh, I. V.

S. D. Krasikov, A. A. Bogdanov, and I. V. Iorsh, “Nonlinear bound states in the continuum of a one-dimensional photonic crystal slab,” Phys. Rev. B 97, 224309 (2018).
[Crossref]

Joannopoulos, J. D.

C. W. Hsu, B. Zhen, A. D. Stone, J. D. Joannopoulos, and M. Soljačić, “Bound states in the continuum,” Nat. Rev. Mater. 1, 16048 (2016).
[Crossref]

J. Lee, B. Zhen, S.-L. Chua, W. Qiu, J. D. Joannopoulos, M. Soljačić, and O. Shapira, “Observation and differentiation of unique high-q optical resonances near zero wave vector in macroscopic photonic crystal slabs,” Phys. Rev. Lett. 109, 067401 (2012).
[Crossref]

S. Fan and J. D. Joannopoulos, “Analysis of guided resonances in photonic crystal slabs,” Phys. Rev. B 65, 235112 (2002).
[Crossref]

Johnson, S. R.

M. Kanskar, P. Paddon, V. Pacradouni, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. MacKenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with a two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438 (1997).
[Crossref]

Kanskar, M.

M. Kanskar, P. Paddon, V. Pacradouni, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. MacKenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with a two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438 (1997).
[Crossref]

Kanté, B.

A. Kodigala, T. Lepetit, Q. Gu, B. Bahari, Y. Fainman, and B. Kanté, “Lasing action from photonic bound states in continuum,” Nature 541, 196–199 (2017).
[Crossref]

T. Lepetit and B. Kanté, “Controlling multipolar radiation with symmetries for electromagnetic bound states in the continuum,” Phys. Rev. B 90, 241103 (2014).
[Crossref]

Kapitanova, P. V.

M. A. Belyakov, M. A. Balezin, Z. F. Sadrieva, P. V. Kapitanova, E. A. Nenasheva, A. F. Sadreev, and A. A. Bogdanov, “Experimental observation of symmetry protected bound state in the continuum in a chain of dielectric disks,” arXiv:1806.01932 (2018).

A. A. Bogdanov, K. L. Koshelev, P. V. Kapitanova, M. V. Rybin, S. A. Gladyshev, Z. F. Sadrieva, K. B. Samusev, Y. S. Kivshar, and M. F. Limonov, “A direct link between Fano resonances and bound states in the continuum,” arXiv:1805.09265 (2018).

Kivshar, Y.

L. Carletti, K. Koshelev, C. De Angelis, and Y. Kivshar, “Giant nonlinear response at the nanoscale driven by bound states in the continuum,” Phys. Rev. Lett. 121, 033903 (2018).
[Crossref]

Kivshar, Y. S.

M. V. Rybin, K. L. Koshelev, Z. F. Sadrieva, K. B. Samusev, A. A. Bogdanov, M. F. Limonov, and Y. S. Kivshar, “High-q supercavity modes in subwavelength dielectric resonators,” Phys. Rev. Lett. 119, 243901 (2017).
[Crossref]

A. A. Bogdanov, K. L. Koshelev, P. V. Kapitanova, M. V. Rybin, S. A. Gladyshev, Z. F. Sadrieva, K. B. Samusev, Y. S. Kivshar, and M. F. Limonov, “A direct link between Fano resonances and bound states in the continuum,” arXiv:1805.09265 (2018).

Kodigala, A.

A. Kodigala, T. Lepetit, Q. Gu, B. Bahari, Y. Fainman, and B. Kanté, “Lasing action from photonic bound states in continuum,” Nature 541, 196–199 (2017).
[Crossref]

Koshelev, K.

L. Carletti, K. Koshelev, C. De Angelis, and Y. Kivshar, “Giant nonlinear response at the nanoscale driven by bound states in the continuum,” Phys. Rev. Lett. 121, 033903 (2018).
[Crossref]

Koshelev, K. L.

M. V. Rybin, K. L. Koshelev, Z. F. Sadrieva, K. B. Samusev, A. A. Bogdanov, M. F. Limonov, and Y. S. Kivshar, “High-q supercavity modes in subwavelength dielectric resonators,” Phys. Rev. Lett. 119, 243901 (2017).
[Crossref]

A. A. Bogdanov, K. L. Koshelev, P. V. Kapitanova, M. V. Rybin, S. A. Gladyshev, Z. F. Sadrieva, K. B. Samusev, Y. S. Kivshar, and M. F. Limonov, “A direct link between Fano resonances and bound states in the continuum,” arXiv:1805.09265 (2018).

Krasikov, S. D.

S. D. Krasikov, A. A. Bogdanov, and I. V. Iorsh, “Nonlinear bound states in the continuum of a one-dimensional photonic crystal slab,” Phys. Rev. B 97, 224309 (2018).
[Crossref]

Landau, L.

L. Landau and E. Lifshitz, “Chapter 6 – electromagnetic waves,” in The Classical Theory of Fields, L. Landau and E. Lifshitz, eds., 4th ed., Vol. 2 of Course of Theoretical Physics (Pergamon, 1975), pp. 109–129.

Lee, J.

J. Lee, B. Zhen, S.-L. Chua, W. Qiu, J. D. Joannopoulos, M. Soljačić, and O. Shapira, “Observation and differentiation of unique high-q optical resonances near zero wave vector in macroscopic photonic crystal slabs,” Phys. Rev. Lett. 109, 067401 (2012).
[Crossref]

Lepetit, T.

A. Kodigala, T. Lepetit, Q. Gu, B. Bahari, Y. Fainman, and B. Kanté, “Lasing action from photonic bound states in continuum,” Nature 541, 196–199 (2017).
[Crossref]

T. Lepetit and B. Kanté, “Controlling multipolar radiation with symmetries for electromagnetic bound states in the continuum,” Phys. Rev. B 90, 241103 (2014).
[Crossref]

Li, Z.

Y. Yang, C. Peng, Y. Liang, Z. Li, and S. Noda, “Analytical perspective for bound states in the continuum in photonic crystal slabs,” Phys. Rev. Lett. 113, 037401 (2014).
[Crossref]

Liang, Y.

Y. Yang, C. Peng, Y. Liang, Z. Li, and S. Noda, “Analytical perspective for bound states in the continuum in photonic crystal slabs,” Phys. Rev. Lett. 113, 037401 (2014).
[Crossref]

Lifshitz, E.

L. Landau and E. Lifshitz, “Chapter 6 – electromagnetic waves,” in The Classical Theory of Fields, L. Landau and E. Lifshitz, eds., 4th ed., Vol. 2 of Course of Theoretical Physics (Pergamon, 1975), pp. 109–129.

Limonov, M. F.

M. V. Rybin, K. L. Koshelev, Z. F. Sadrieva, K. B. Samusev, A. A. Bogdanov, M. F. Limonov, and Y. S. Kivshar, “High-q supercavity modes in subwavelength dielectric resonators,” Phys. Rev. Lett. 119, 243901 (2017).
[Crossref]

A. A. Bogdanov, K. L. Koshelev, P. V. Kapitanova, M. V. Rybin, S. A. Gladyshev, Z. F. Sadrieva, K. B. Samusev, Y. S. Kivshar, and M. F. Limonov, “A direct link between Fano resonances and bound states in the continuum,” arXiv:1805.09265 (2018).

Lu, Y. Y.

L. Yuan and Y. Y. Lu, “Propagating bloch modes above the lightline on a periodic array of cylinders,” J. Phys. B 50, 05LT01 (2017).
[Crossref]

MacKenzie, J.

M. Kanskar, P. Paddon, V. Pacradouni, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. MacKenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with a two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438 (1997).
[Crossref]

Maksimov, D. N.

Marinica, D. C.

D. C. Marinica, A. G. Borisov, and S. V. Shabanov, “Bound states in the continuum in photonics,” Phys. Rev. Lett. 100, 183902 (2008).
[Crossref]

Mendis, R.

Mittleman, D. M.

Mocella, V.

E. Penzo, S. Romano, Y. Wang, S. Dhuey, L. Dal Negro, V. Mocella, and S. Cabrini, “Patterning of electrically tunable light-emitting photonic structures demonstrating bound states in the continuum,” J. Vac. Sci. Technol. B 35, 06G401 (2017).
[Crossref]

Morin, R.

M. Kanskar, P. Paddon, V. Pacradouni, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. MacKenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with a two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438 (1997).
[Crossref]

Nagai, M.

Nenasheva, E. A.

M. A. Belyakov, M. A. Balezin, Z. F. Sadrieva, P. V. Kapitanova, E. A. Nenasheva, A. F. Sadreev, and A. A. Bogdanov, “Experimental observation of symmetry protected bound state in the continuum in a chain of dielectric disks,” arXiv:1806.01932 (2018).

Noda, S.

Y. Yang, C. Peng, Y. Liang, Z. Li, and S. Noda, “Analytical perspective for bound states in the continuum in photonic crystal slabs,” Phys. Rev. Lett. 113, 037401 (2014).
[Crossref]

Nolte, S.

Y. Plotnik, O. Peleg, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, and M. Segev, “Experimental observation of optical bound states in the continuum,” Phys. Rev. Lett. 107, 183901 (2011).
[Crossref]

Pacradouni, V.

M. Kanskar, P. Paddon, V. Pacradouni, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. MacKenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with a two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438 (1997).
[Crossref]

Paddon, P.

M. Kanskar, P. Paddon, V. Pacradouni, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. MacKenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with a two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438 (1997).
[Crossref]

Peleg, O.

Y. Plotnik, O. Peleg, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, and M. Segev, “Experimental observation of optical bound states in the continuum,” Phys. Rev. Lett. 107, 183901 (2011).
[Crossref]

Peng, C.

Y. Yang, C. Peng, Y. Liang, Z. Li, and S. Noda, “Analytical perspective for bound states in the continuum in photonic crystal slabs,” Phys. Rev. Lett. 113, 037401 (2014).
[Crossref]

Penzo, E.

E. Penzo, S. Romano, Y. Wang, S. Dhuey, L. Dal Negro, V. Mocella, and S. Cabrini, “Patterning of electrically tunable light-emitting photonic structures demonstrating bound states in the continuum,” J. Vac. Sci. Technol. B 35, 06G401 (2017).
[Crossref]

Phillips, J. D.

J. M. Foley, S. M. Young, and J. D. Phillips, “Symmetry-protected mode coupling near normal incidence for narrow-band transmission filtering in a dielectric grating,” Phys. Rev. B 89, 165111 (2014).
[Crossref]

Plotnik, Y.

Y. Plotnik, O. Peleg, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, and M. Segev, “Experimental observation of optical bound states in the continuum,” Phys. Rev. Lett. 107, 183901 (2011).
[Crossref]

Qiu, W.

J. Lee, B. Zhen, S.-L. Chua, W. Qiu, J. D. Joannopoulos, M. Soljačić, and O. Shapira, “Observation and differentiation of unique high-q optical resonances near zero wave vector in macroscopic photonic crystal slabs,” Phys. Rev. Lett. 109, 067401 (2012).
[Crossref]

Romano, S.

E. Penzo, S. Romano, Y. Wang, S. Dhuey, L. Dal Negro, V. Mocella, and S. Cabrini, “Patterning of electrically tunable light-emitting photonic structures demonstrating bound states in the continuum,” J. Vac. Sci. Technol. B 35, 06G401 (2017).
[Crossref]

Rybin, M. V.

M. V. Rybin, K. L. Koshelev, Z. F. Sadrieva, K. B. Samusev, A. A. Bogdanov, M. F. Limonov, and Y. S. Kivshar, “High-q supercavity modes in subwavelength dielectric resonators,” Phys. Rev. Lett. 119, 243901 (2017).
[Crossref]

A. A. Bogdanov, K. L. Koshelev, P. V. Kapitanova, M. V. Rybin, S. A. Gladyshev, Z. F. Sadrieva, K. B. Samusev, Y. S. Kivshar, and M. F. Limonov, “A direct link between Fano resonances and bound states in the continuum,” arXiv:1805.09265 (2018).

Sadreev, A.

E. Bulgakov and A. Sadreev, “Formation of bound states in the continuum for a quantum dot with variable width,” Phys. Rev. B 83, 235321 (2011).
[Crossref]

Sadreev, A. F.

E. N. Bulgakov and A. F. Sadreev, “Light trapping above the light cone in a one-dimensional array of dielectric spheres,” Phys. Rev. A 92, 023816 (2015).
[Crossref]

E. N. Bulgakov and A. F. Sadreev, “Bloch bound states in the radiation continuum in a periodic array of dielectric rods,” Phys. Rev. A 90, 053801 (2014).
[Crossref]

M. A. Belyakov, M. A. Balezin, Z. F. Sadrieva, P. V. Kapitanova, E. A. Nenasheva, A. F. Sadreev, and A. A. Bogdanov, “Experimental observation of symmetry protected bound state in the continuum in a chain of dielectric disks,” arXiv:1806.01932 (2018).

Sadrieva, Z. F.

M. V. Rybin, K. L. Koshelev, Z. F. Sadrieva, K. B. Samusev, A. A. Bogdanov, M. F. Limonov, and Y. S. Kivshar, “High-q supercavity modes in subwavelength dielectric resonators,” Phys. Rev. Lett. 119, 243901 (2017).
[Crossref]

A. A. Bogdanov, K. L. Koshelev, P. V. Kapitanova, M. V. Rybin, S. A. Gladyshev, Z. F. Sadrieva, K. B. Samusev, Y. S. Kivshar, and M. F. Limonov, “A direct link between Fano resonances and bound states in the continuum,” arXiv:1805.09265 (2018).

M. A. Belyakov, M. A. Balezin, Z. F. Sadrieva, P. V. Kapitanova, E. A. Nenasheva, A. F. Sadreev, and A. A. Bogdanov, “Experimental observation of symmetry protected bound state in the continuum in a chain of dielectric disks,” arXiv:1806.01932 (2018).

Samusev, K. B.

M. V. Rybin, K. L. Koshelev, Z. F. Sadrieva, K. B. Samusev, A. A. Bogdanov, M. F. Limonov, and Y. S. Kivshar, “High-q supercavity modes in subwavelength dielectric resonators,” Phys. Rev. Lett. 119, 243901 (2017).
[Crossref]

A. A. Bogdanov, K. L. Koshelev, P. V. Kapitanova, M. V. Rybin, S. A. Gladyshev, Z. F. Sadrieva, K. B. Samusev, Y. S. Kivshar, and M. F. Limonov, “A direct link between Fano resonances and bound states in the continuum,” arXiv:1805.09265 (2018).

Segev, M.

Y. Plotnik, O. Peleg, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, and M. Segev, “Experimental observation of optical bound states in the continuum,” Phys. Rev. Lett. 107, 183901 (2011).
[Crossref]

Semina, P. N.

Shabanov, S. V.

D. C. Marinica, A. G. Borisov, and S. V. Shabanov, “Bound states in the continuum in photonics,” Phys. Rev. Lett. 100, 183902 (2008).
[Crossref]

Shapira, O.

J. Lee, B. Zhen, S.-L. Chua, W. Qiu, J. D. Joannopoulos, M. Soljačić, and O. Shapira, “Observation and differentiation of unique high-q optical resonances near zero wave vector in macroscopic photonic crystal slabs,” Phys. Rev. Lett. 109, 067401 (2012).
[Crossref]

Shipman, S. P.

S. P. Shipman and H. Tu, “Total resonant transmission and reflection by periodic structures,” SIAM J. Appl. Math. 72, 216–239 (2012).
[Crossref]

S. P. Shipman and S. Venakides, “Resonant transmission near nonrobust periodic slab modes,” Phys. Rev. E 71, 026611 (2005).
[Crossref]

Skorobogatov, S. A.

Soljacic, M.

C. W. Hsu, B. Zhen, A. D. Stone, J. D. Joannopoulos, and M. Soljačić, “Bound states in the continuum,” Nat. Rev. Mater. 1, 16048 (2016).
[Crossref]

J. Lee, B. Zhen, S.-L. Chua, W. Qiu, J. D. Joannopoulos, M. Soljačić, and O. Shapira, “Observation and differentiation of unique high-q optical resonances near zero wave vector in macroscopic photonic crystal slabs,” Phys. Rev. Lett. 109, 067401 (2012).
[Crossref]

Stillinger, F. H.

F. H. Stillinger and D. R. Herrick, “Bound states in the continuum,” Phys. Rev. A 11, 446–454 (1975).
[Crossref]

Stone, A. D.

C. W. Hsu, B. Zhen, A. D. Stone, J. D. Joannopoulos, and M. Soljačić, “Bound states in the continuum,” Nat. Rev. Mater. 1, 16048 (2016).
[Crossref]

Szameit, A.

Y. Plotnik, O. Peleg, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, and M. Segev, “Experimental observation of optical bound states in the continuum,” Phys. Rev. Lett. 107, 183901 (2011).
[Crossref]

Tiedje, T.

M. Kanskar, P. Paddon, V. Pacradouni, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. MacKenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with a two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438 (1997).
[Crossref]

Tu, H.

S. P. Shipman and H. Tu, “Total resonant transmission and reflection by periodic structures,” SIAM J. Appl. Math. 72, 216–239 (2012).
[Crossref]

Venakides, S.

S. P. Shipman and S. Venakides, “Resonant transmission near nonrobust periodic slab modes,” Phys. Rev. E 71, 026611 (2005).
[Crossref]

von Neumann, J.

J. von Neumann and E. P. Wigner, in Über merkwürdige diskrete Eigenwerte (Springer Berlin Heidelberg, 1993), pp. 291–293.

Wang, Y.

E. Penzo, S. Romano, Y. Wang, S. Dhuey, L. Dal Negro, V. Mocella, and S. Cabrini, “Patterning of electrically tunable light-emitting photonic structures demonstrating bound states in the continuum,” J. Vac. Sci. Technol. B 35, 06G401 (2017).
[Crossref]

Wigner, E. P.

J. von Neumann and E. P. Wigner, in Über merkwürdige diskrete Eigenwerte (Springer Berlin Heidelberg, 1993), pp. 291–293.

Wintgen, D.

H. Friedrich and D. Wintgen, “Interfering resonances and bound states in the continuum,” Phys. Rev. A 32, 3231–3242 (1985).
[Crossref]

Yang, Y.

Y. Yang, C. Peng, Y. Liang, Z. Li, and S. Noda, “Analytical perspective for bound states in the continuum in photonic crystal slabs,” Phys. Rev. Lett. 113, 037401 (2014).
[Crossref]

Young, J. F.

M. Kanskar, P. Paddon, V. Pacradouni, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. MacKenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with a two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438 (1997).
[Crossref]

Young, S. M.

J. M. Foley, S. M. Young, and J. D. Phillips, “Symmetry-protected mode coupling near normal incidence for narrow-band transmission filtering in a dielectric grating,” Phys. Rev. B 89, 165111 (2014).
[Crossref]

Yuan, L.

L. Yuan and Y. Y. Lu, “Propagating bloch modes above the lightline on a periodic array of cylinders,” J. Phys. B 50, 05LT01 (2017).
[Crossref]

Zhang, W.

Zhen, B.

C. W. Hsu, B. Zhen, A. D. Stone, J. D. Joannopoulos, and M. Soljačić, “Bound states in the continuum,” Nat. Rev. Mater. 1, 16048 (2016).
[Crossref]

J. Lee, B. Zhen, S.-L. Chua, W. Qiu, J. D. Joannopoulos, M. Soljačić, and O. Shapira, “Observation and differentiation of unique high-q optical resonances near zero wave vector in macroscopic photonic crystal slabs,” Phys. Rev. Lett. 109, 067401 (2012).
[Crossref]

Appl. Phys. Lett. (1)

M. Kanskar, P. Paddon, V. Pacradouni, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. MacKenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with a two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438 (1997).
[Crossref]

J. Opt. Soc. Am. B (1)

J. Phys. B (1)

L. Yuan and Y. Y. Lu, “Propagating bloch modes above the lightline on a periodic array of cylinders,” J. Phys. B 50, 05LT01 (2017).
[Crossref]

J. Vac. Sci. Technol. B (1)

E. Penzo, S. Romano, Y. Wang, S. Dhuey, L. Dal Negro, V. Mocella, and S. Cabrini, “Patterning of electrically tunable light-emitting photonic structures demonstrating bound states in the continuum,” J. Vac. Sci. Technol. B 35, 06G401 (2017).
[Crossref]

Math. Methods Appl. Sci. (1)

B. Anne-Sophie and S. Felipe, “Guided waves by electromagnetic gratings and non-uniqueness examples for the diffraction problem,” Math. Methods Appl. Sci. 17, 305–338 (1994).
[Crossref]

Nat. Rev. Mater. (1)

C. W. Hsu, B. Zhen, A. D. Stone, J. D. Joannopoulos, and M. Soljačić, “Bound states in the continuum,” Nat. Rev. Mater. 1, 16048 (2016).
[Crossref]

Nature (1)

A. Kodigala, T. Lepetit, Q. Gu, B. Bahari, Y. Fainman, and B. Kanté, “Lasing action from photonic bound states in continuum,” Nature 541, 196–199 (2017).
[Crossref]

Opt. Express (1)

Phys. Rev. A (4)

F. H. Stillinger and D. R. Herrick, “Bound states in the continuum,” Phys. Rev. A 11, 446–454 (1975).
[Crossref]

H. Friedrich and D. Wintgen, “Interfering resonances and bound states in the continuum,” Phys. Rev. A 32, 3231–3242 (1985).
[Crossref]

E. N. Bulgakov and A. F. Sadreev, “Bloch bound states in the radiation continuum in a periodic array of dielectric rods,” Phys. Rev. A 90, 053801 (2014).
[Crossref]

E. N. Bulgakov and A. F. Sadreev, “Light trapping above the light cone in a one-dimensional array of dielectric spheres,” Phys. Rev. A 92, 023816 (2015).
[Crossref]

Phys. Rev. B (5)

E. Bulgakov and A. Sadreev, “Formation of bound states in the continuum for a quantum dot with variable width,” Phys. Rev. B 83, 235321 (2011).
[Crossref]

T. Lepetit and B. Kanté, “Controlling multipolar radiation with symmetries for electromagnetic bound states in the continuum,” Phys. Rev. B 90, 241103 (2014).
[Crossref]

S. D. Krasikov, A. A. Bogdanov, and I. V. Iorsh, “Nonlinear bound states in the continuum of a one-dimensional photonic crystal slab,” Phys. Rev. B 97, 224309 (2018).
[Crossref]

J. M. Foley, S. M. Young, and J. D. Phillips, “Symmetry-protected mode coupling near normal incidence for narrow-band transmission filtering in a dielectric grating,” Phys. Rev. B 89, 165111 (2014).
[Crossref]

S. Fan and J. D. Joannopoulos, “Analysis of guided resonances in photonic crystal slabs,” Phys. Rev. B 65, 235112 (2002).
[Crossref]

Phys. Rev. E (1)

S. P. Shipman and S. Venakides, “Resonant transmission near nonrobust periodic slab modes,” Phys. Rev. E 71, 026611 (2005).
[Crossref]

Phys. Rev. Lett. (6)

M. V. Rybin, K. L. Koshelev, Z. F. Sadrieva, K. B. Samusev, A. A. Bogdanov, M. F. Limonov, and Y. S. Kivshar, “High-q supercavity modes in subwavelength dielectric resonators,” Phys. Rev. Lett. 119, 243901 (2017).
[Crossref]

D. C. Marinica, A. G. Borisov, and S. V. Shabanov, “Bound states in the continuum in photonics,” Phys. Rev. Lett. 100, 183902 (2008).
[Crossref]

Y. Yang, C. Peng, Y. Liang, Z. Li, and S. Noda, “Analytical perspective for bound states in the continuum in photonic crystal slabs,” Phys. Rev. Lett. 113, 037401 (2014).
[Crossref]

Y. Plotnik, O. Peleg, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, and M. Segev, “Experimental observation of optical bound states in the continuum,” Phys. Rev. Lett. 107, 183901 (2011).
[Crossref]

J. Lee, B. Zhen, S.-L. Chua, W. Qiu, J. D. Joannopoulos, M. Soljačić, and O. Shapira, “Observation and differentiation of unique high-q optical resonances near zero wave vector in macroscopic photonic crystal slabs,” Phys. Rev. Lett. 109, 067401 (2012).
[Crossref]

L. Carletti, K. Koshelev, C. De Angelis, and Y. Kivshar, “Giant nonlinear response at the nanoscale driven by bound states in the continuum,” Phys. Rev. Lett. 121, 033903 (2018).
[Crossref]

SIAM J. Appl. Math. (1)

S. P. Shipman and H. Tu, “Total resonant transmission and reflection by periodic structures,” SIAM J. Appl. Math. 72, 216–239 (2012).
[Crossref]

Other (4)

L. Landau and E. Lifshitz, “Chapter 6 – electromagnetic waves,” in The Classical Theory of Fields, L. Landau and E. Lifshitz, eds., 4th ed., Vol. 2 of Course of Theoretical Physics (Pergamon, 1975), pp. 109–129.

A. A. Bogdanov, K. L. Koshelev, P. V. Kapitanova, M. V. Rybin, S. A. Gladyshev, Z. F. Sadrieva, K. B. Samusev, Y. S. Kivshar, and M. F. Limonov, “A direct link between Fano resonances and bound states in the continuum,” arXiv:1805.09265 (2018).

M. A. Belyakov, M. A. Balezin, Z. F. Sadrieva, P. V. Kapitanova, E. A. Nenasheva, A. F. Sadreev, and A. A. Bogdanov, “Experimental observation of symmetry protected bound state in the continuum in a chain of dielectric disks,” arXiv:1806.01932 (2018).

J. von Neumann and E. P. Wigner, in Über merkwürdige diskrete Eigenwerte (Springer Berlin Heidelberg, 1993), pp. 291–293.

Supplementary Material (1)

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Figures (5)

Fig. 1.
Fig. 1. (a) Illustration of all-dielectric metasurfaces showing optical photodoping of the structure. (b) SEM image of the fabricated free-standing silicon structure with a diameter of 132 μm, height of 50 μm, and a periodicity of 168 μm. The scale bar is 100 μm. (c) Simulated angular dependence of the transmission and reflection. Red colors denote t0 and blue colors r0. (d) dispersion diagram (ω,k||) showing t=0 (red curve) and r=0 (blue curve). Left inset shows Ez for the symmetry-protected BSC, and right inset shows Ez for the broken symmetry state.
Fig. 2.
Fig. 2. Simulated transmission coefficients of the BSC metasurface for (a) normal and (b) 10° angle of incidence. (c) and (d) are the corresponding experimentally measured results. (e) Normalized z component of electric field for odd eigenmodes at the mirror symmetric xy plane of the cylinders. (f) Normalized z component of magnetic field for even eigenmodes at the mirror symmetric xy plane of the cylinders.
Fig. 3.
Fig. 3. Frequency-dependent transmission coefficient (a) and (c), simulated at normal incidence (gray curve) and θ=1.5° (blue curve) for lossless cylinders. (b) Eigenvalue simulation of the dispersion diagram for TM polarization. The black dashed line is the light line. The periodicity is a=168μm. (c) Zoomed-in region of the transmission coefficient near ωB shown in (a).
Fig. 4.
Fig. 4. Simulation of the quality factor (red left axis), radiative (blue), and nonradiative (gold) loss rates (right axis) as a function of (a) incident angle and (b) doping. Inset to (a) shows a zoomed-in region for angles up to 2°. Incident angle in (b) is θ=10°. (c) Dependence of the real (green) and imaginary (gold) parts of the relative change in complex eigenfrequency, defined in the text. Green and gold dashed curves in (c) identify doping values needed for 1% change in Δωr and a factor of 300 change in Δωi, respectively.
Fig. 5.
Fig. 5. (a) Experimental and (b) simulated off-normal (θ=10°) transmission coefficient as a function of frequency for different optical pump fluence. The black curve shows the transmission without photoexcitation on the silicon metasurface. Inset to (a) shows the Δttmaxtmin as a function of optical pump power in the vicinity of the BSC.