T. Amoah and M. Florescu, “High-Q optical cavities in hyperuniform disordered materials,” Phys. Rev. B 91, 020201(R) (2015).

[Crossref]

R. Dreyfus, Y. Xu, T. Still, L. A. Hough, A. G. Yodh, and S. Torquato, “Diagnosing hyperuniformity in two-dimensional, disordered, jammed packings of soft spheres,” Phys. Rev. E 91, 012302 (2015).

[Crossref]

G. M. Conley, M. Burresi, F. Pratesi, K. Vynck, and D. S. Wiersma, “Light transport and localization in two-dimensional correlated disorder,” Phys. Rev. Lett. 112, 143901 (2014).

[Crossref]

O. Leseur, R. Pierrat, J. J. Sáenz, and R. Carminati, “Probing two-dimensional Anderson localization without statistics,” Phys. Rev. A 90, 053827 (2014).

[Crossref]

J. Haberko and F. Scheffold, “Fabrication of mesoscale polymeric templates for three-dimensional disordered photonic materials,” Opt. Express 21, 1057 (2013).

[Crossref]

J. Haberko, N. Muller, and F. Scheffold, “Direct laser writing of three-dimensional network structures as templates for disordered photonic materials,” Phys. Rev. A 88, 043822 (2013).

[Crossref]

W. Man, M. Florescu, K. Matsuyama, P. Yadak, G. Nahal, S. Hashemizad, E. Williamson, P. Steinhardt, S. Torquato, and P. Chaikin, “Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast,” Opt. Express 21, 19972 (2013).

[Crossref]

N. Muller, J. Haberko, C. Marichy, and F. Scheffold, “Silicon hyperuniform disordered photonic materials with a pronounced gap in the shortwave infrared,” Adv. Opt. Mater. 2, 115–119 (2013).

[Crossref]

M. Florescu, P. J. Steinhardt, and S. Torquato, “Optical cavities and waveguides in hyperuniform disordered photonic solids,” Phys. Rev. B 87, 165116 (2013).

[Crossref]

W. Man, M. Florescu, E. P. Williamson, Y. He, S. R. Hashemizad, B. Y. C. Leung, D. R. Liner, S. Torquato, P. M. Chaikin, and P. J. Steinhardt, “Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids,” Proc. Natl. Acad. Sci. USA 110, 15886–15891 (2013).

[Crossref]

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, “Controlling waves in space and time for imaging and focusing in complex media,” Nat. Photonics 6, 283–292 (2012).

[Crossref]

M. Rechtsman, A. Szameit, F. Dreisow, M. Heinrich, R. Keil, S. Nolte, and M. Segev, “Amorphous photonic lattices: band gaps, effective mass, and suppressed transport,” Phys. Rev. Lett. 106, 193904 (2011).

[Crossref]

J.-H. Tian, J. Hu, S.-S. Li, F. Zhang, J. Liu, J. Shi, X. Li, Z.-Q. Tian, and Y. Chen, “Improved seedless hydrothermal synthesis of dense and ultralong ZnO nanowires,” Nanotechnology 22, 245601 (2011).

[Crossref]

C. E. Zachary, Y. Jiao, and S. Torquato, “Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings,” Phys. Rev. Lett. 106, 178001 (2011).

[Crossref]

J.-K. Yang, C. Schreck, H. Noh, S.-F. Liew, M. I. Guy, C. S. O’Hern, and H. Cao, “Photonic-band-gap effects in two-dimensional polycrystalline and amorphous structures,” Phys. Rev. A 82, 053838 (2010).

[Crossref]

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, “Measuring the transmission matrix in optics: an approach to the study and control of light propagation in disordered media,” Phys. Rev. Lett. 104, 100601 (2010).

[Crossref]

P. D. García, R. Sapienza, and C. López, “Photonic glasses: a step beyond white paint,” Adv. Mater. 22, 12–19 (2010).

[Crossref]

M. Florescu, S. Torquato, and P. J. Steinhardt, “Designer disordered materials with large, complete photonic band gaps,” Proc. Natl. Acad. Sci. USA 106, 20658–20663 (2009).

[Crossref]

R. D. Batten, F. H. Stillinger, and S. Torquato, “Classical disordered ground states: super-ideal gases and stealth and equi-luminous materials,” J. Appl. Phys. 104, 033504 (2008).

[Crossref]

A. Gabrielli, M. Joyce, and S. Torquato, “Tilings of space and superhomogeneous point processes,” Phys. Rev. E 77, 031125 (2008).

[Crossref]

L. Corté, P. M. Chaikin, J. P. Gollub, and D. J. Pine, “Random organization in periodically driven systems,” Nat. Phys. 4, 420–424 (2008).

[Crossref]

K. Edagawa, S. Kanoko, and M. Notomi, “Photonic amorphous diamond structure with a 3D photonic band gap,” Phys. Rev. Lett. 100, 013901 (2008).

[Crossref]

M. Reufer, L. F. Rojas-Ochoa, S. Eiden, J. J. Sáenz, and F. Scheffold, “Transport of light in amorphous photonic materials,” Appl. Phys. Lett. 91, 171904 (2007).

[Crossref]

P. D. García, R. Sapienza, A. Blanco, and C. López, “Photonic glass: a novel random material for light,” Adv. Mater. 19, 2597–2602 (2007).

[Crossref]

I. M. Vellekoop and A. P. Mosk, “Focusing coherent light through opaque strongly scattering media,” Opt. Lett. 32, 2309 (2007).

[Crossref]

O. U. Uche, S. Torquato, and F. H. Stillinger, “Collective coordinate control of density distributions,” Phys. Rev. E 74, 031104 (2006).

[Crossref]

A. Donev, F. Stillinger, and S. Torquato, “Unexpected density fluctuations in jammed disordered sphere packings,” Phys. Rev. Lett. 95, 090604 (2005).

[Crossref]

O. U. Uche, F. H. Stillinger, and S. Torquato, “Constraints on collective density variables: two dimensions,” Phys. Rev. E 70, 046122 (2004).

[Crossref]

L. F. Rojas-Ochoa, J. M. Mendez-Alcaraz, J. J. Sáenz, P. Schurtenberger, and F. Scheffold, “Photonic properties of strongly correlated colloidal liquids,” Phys. Rev. Lett. 93, 073903 (2004).

[Crossref]

A. Yamilov and H. Cao, “Density of resonant states and a manifestation of photonic band structure in small clusters of spherical particles,” Phys. Rev. B 68, 085111 (2003).

[Crossref]

S. Torquato and F. H. Stillinger, “Local density fluctuations, hyperuniformity, and order metrics,” Phys. Rev. E 68, 041113 (2003).

[Crossref]

A. Gabrielli, M. Joyce, and F. Sylos Labini, “Glass-like universe: real-space correlation properties of standard cosmological models,” Phys. Rev. D 65, 083523 (2002).

[Crossref]

C. Jin, X. Meng, B. Cheng, Z. Li, and D. Zhang, “Photonic gap in amorphous photonic materials,” Phys. Rev. B 63, 195107 (2001).

[Crossref]

S. Fraden and G. Maret, “Multiple light scattering from concentrated, interacting suspensions,” Phys. Rev. Lett. 65, 512–515 (1990).

[Crossref]

M. Lax, “Multiple scattering of waves. II. The effective field in dense systems,” Phys. Rev. 85, 621–629 (1952).

[Crossref]

E. Akkermans and G. Montambaux, Mesoscopic Physics of Electrons and Photons (Cambridge University, 2007).

T. Amoah and M. Florescu, “High-Q optical cavities in hyperuniform disordered materials,” Phys. Rev. B 91, 020201(R) (2015).

[Crossref]

R. D. Batten, F. H. Stillinger, and S. Torquato, “Classical disordered ground states: super-ideal gases and stealth and equi-luminous materials,” J. Appl. Phys. 104, 033504 (2008).

[Crossref]

P. D. García, R. Sapienza, A. Blanco, and C. López, “Photonic glass: a novel random material for light,” Adv. Mater. 19, 2597–2602 (2007).

[Crossref]

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, “Measuring the transmission matrix in optics: an approach to the study and control of light propagation in disordered media,” Phys. Rev. Lett. 104, 100601 (2010).

[Crossref]

G. M. Conley, M. Burresi, F. Pratesi, K. Vynck, and D. S. Wiersma, “Light transport and localization in two-dimensional correlated disorder,” Phys. Rev. Lett. 112, 143901 (2014).

[Crossref]

J.-K. Yang, C. Schreck, H. Noh, S.-F. Liew, M. I. Guy, C. S. O’Hern, and H. Cao, “Photonic-band-gap effects in two-dimensional polycrystalline and amorphous structures,” Phys. Rev. A 82, 053838 (2010).

[Crossref]

A. Yamilov and H. Cao, “Density of resonant states and a manifestation of photonic band structure in small clusters of spherical particles,” Phys. Rev. B 68, 085111 (2003).

[Crossref]

O. Leseur, R. Pierrat, J. J. Sáenz, and R. Carminati, “Probing two-dimensional Anderson localization without statistics,” Phys. Rev. A 90, 053827 (2014).

[Crossref]

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, “Measuring the transmission matrix in optics: an approach to the study and control of light propagation in disordered media,” Phys. Rev. Lett. 104, 100601 (2010).

[Crossref]

W. Man, M. Florescu, K. Matsuyama, P. Yadak, G. Nahal, S. Hashemizad, E. Williamson, P. Steinhardt, S. Torquato, and P. Chaikin, “Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast,” Opt. Express 21, 19972 (2013).

[Crossref]

W. Man, M. Florescu, E. P. Williamson, Y. He, S. R. Hashemizad, B. Y. C. Leung, D. R. Liner, S. Torquato, P. M. Chaikin, and P. J. Steinhardt, “Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids,” Proc. Natl. Acad. Sci. USA 110, 15886–15891 (2013).

[Crossref]

L. Corté, P. M. Chaikin, J. P. Gollub, and D. J. Pine, “Random organization in periodically driven systems,” Nat. Phys. 4, 420–424 (2008).

[Crossref]

S. Chandrasekhar, Radiative Transfer (Dover, 1950).

J.-H. Tian, J. Hu, S.-S. Li, F. Zhang, J. Liu, J. Shi, X. Li, Z.-Q. Tian, and Y. Chen, “Improved seedless hydrothermal synthesis of dense and ultralong ZnO nanowires,” Nanotechnology 22, 245601 (2011).

[Crossref]

C. Jin, X. Meng, B. Cheng, Z. Li, and D. Zhang, “Photonic gap in amorphous photonic materials,” Phys. Rev. B 63, 195107 (2001).

[Crossref]

G. M. Conley, M. Burresi, F. Pratesi, K. Vynck, and D. S. Wiersma, “Light transport and localization in two-dimensional correlated disorder,” Phys. Rev. Lett. 112, 143901 (2014).

[Crossref]

L. Corté, P. M. Chaikin, J. P. Gollub, and D. J. Pine, “Random organization in periodically driven systems,” Nat. Phys. 4, 420–424 (2008).

[Crossref]

L. S. Froufe-Pérez, M. Engel, P. F. Damasceno, N. Muller, J. Haberko, S. C. Glotzer, and F. Scheffold, “The role of short-range order and hyperuniformity in the formation of band gaps in disordered photonic materials,” arXiv:1602.01002 (2016).

A. Donev, F. Stillinger, and S. Torquato, “Unexpected density fluctuations in jammed disordered sphere packings,” Phys. Rev. Lett. 95, 090604 (2005).

[Crossref]

M. Rechtsman, A. Szameit, F. Dreisow, M. Heinrich, R. Keil, S. Nolte, and M. Segev, “Amorphous photonic lattices: band gaps, effective mass, and suppressed transport,” Phys. Rev. Lett. 106, 193904 (2011).

[Crossref]

R. Dreyfus, Y. Xu, T. Still, L. A. Hough, A. G. Yodh, and S. Torquato, “Diagnosing hyperuniformity in two-dimensional, disordered, jammed packings of soft spheres,” Phys. Rev. E 91, 012302 (2015).

[Crossref]

K. Edagawa, S. Kanoko, and M. Notomi, “Photonic amorphous diamond structure with a 3D photonic band gap,” Phys. Rev. Lett. 100, 013901 (2008).

[Crossref]

M. Reufer, L. F. Rojas-Ochoa, S. Eiden, J. J. Sáenz, and F. Scheffold, “Transport of light in amorphous photonic materials,” Appl. Phys. Lett. 91, 171904 (2007).

[Crossref]

L. S. Froufe-Pérez, M. Engel, P. F. Damasceno, N. Muller, J. Haberko, S. C. Glotzer, and F. Scheffold, “The role of short-range order and hyperuniformity in the formation of band gaps in disordered photonic materials,” arXiv:1602.01002 (2016).

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, “Controlling waves in space and time for imaging and focusing in complex media,” Nat. Photonics 6, 283–292 (2012).

[Crossref]

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, “Measuring the transmission matrix in optics: an approach to the study and control of light propagation in disordered media,” Phys. Rev. Lett. 104, 100601 (2010).

[Crossref]

T. Amoah and M. Florescu, “High-Q optical cavities in hyperuniform disordered materials,” Phys. Rev. B 91, 020201(R) (2015).

[Crossref]

M. Florescu, P. J. Steinhardt, and S. Torquato, “Optical cavities and waveguides in hyperuniform disordered photonic solids,” Phys. Rev. B 87, 165116 (2013).

[Crossref]

W. Man, M. Florescu, E. P. Williamson, Y. He, S. R. Hashemizad, B. Y. C. Leung, D. R. Liner, S. Torquato, P. M. Chaikin, and P. J. Steinhardt, “Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids,” Proc. Natl. Acad. Sci. USA 110, 15886–15891 (2013).

[Crossref]

W. Man, M. Florescu, K. Matsuyama, P. Yadak, G. Nahal, S. Hashemizad, E. Williamson, P. Steinhardt, S. Torquato, and P. Chaikin, “Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast,” Opt. Express 21, 19972 (2013).

[Crossref]

M. Florescu, S. Torquato, and P. J. Steinhardt, “Designer disordered materials with large, complete photonic band gaps,” Proc. Natl. Acad. Sci. USA 106, 20658–20663 (2009).

[Crossref]

S. Fraden and G. Maret, “Multiple light scattering from concentrated, interacting suspensions,” Phys. Rev. Lett. 65, 512–515 (1990).

[Crossref]

L. S. Froufe-Pérez, M. Engel, P. F. Damasceno, N. Muller, J. Haberko, S. C. Glotzer, and F. Scheffold, “The role of short-range order and hyperuniformity in the formation of band gaps in disordered photonic materials,” arXiv:1602.01002 (2016).

A. Gabrielli, M. Joyce, and S. Torquato, “Tilings of space and superhomogeneous point processes,” Phys. Rev. E 77, 031125 (2008).

[Crossref]

A. Gabrielli, M. Joyce, and F. Sylos Labini, “Glass-like universe: real-space correlation properties of standard cosmological models,” Phys. Rev. D 65, 083523 (2002).

[Crossref]

P. D. García, R. Sapienza, and C. López, “Photonic glasses: a step beyond white paint,” Adv. Mater. 22, 12–19 (2010).

[Crossref]

P. D. García, R. Sapienza, A. Blanco, and C. López, “Photonic glass: a novel random material for light,” Adv. Mater. 19, 2597–2602 (2007).

[Crossref]

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, “Measuring the transmission matrix in optics: an approach to the study and control of light propagation in disordered media,” Phys. Rev. Lett. 104, 100601 (2010).

[Crossref]

L. S. Froufe-Pérez, M. Engel, P. F. Damasceno, N. Muller, J. Haberko, S. C. Glotzer, and F. Scheffold, “The role of short-range order and hyperuniformity in the formation of band gaps in disordered photonic materials,” arXiv:1602.01002 (2016).

L. Corté, P. M. Chaikin, J. P. Gollub, and D. J. Pine, “Random organization in periodically driven systems,” Nat. Phys. 4, 420–424 (2008).

[Crossref]

J.-K. Yang, C. Schreck, H. Noh, S.-F. Liew, M. I. Guy, C. S. O’Hern, and H. Cao, “Photonic-band-gap effects in two-dimensional polycrystalline and amorphous structures,” Phys. Rev. A 82, 053838 (2010).

[Crossref]

J. Haberko and F. Scheffold, “Fabrication of mesoscale polymeric templates for three-dimensional disordered photonic materials,” Opt. Express 21, 1057 (2013).

[Crossref]

J. Haberko, N. Muller, and F. Scheffold, “Direct laser writing of three-dimensional network structures as templates for disordered photonic materials,” Phys. Rev. A 88, 043822 (2013).

[Crossref]

N. Muller, J. Haberko, C. Marichy, and F. Scheffold, “Silicon hyperuniform disordered photonic materials with a pronounced gap in the shortwave infrared,” Adv. Opt. Mater. 2, 115–119 (2013).

[Crossref]

L. S. Froufe-Pérez, M. Engel, P. F. Damasceno, N. Muller, J. Haberko, S. C. Glotzer, and F. Scheffold, “The role of short-range order and hyperuniformity in the formation of band gaps in disordered photonic materials,” arXiv:1602.01002 (2016).

J.-P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic, 2005).

W. Man, M. Florescu, K. Matsuyama, P. Yadak, G. Nahal, S. Hashemizad, E. Williamson, P. Steinhardt, S. Torquato, and P. Chaikin, “Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast,” Opt. Express 21, 19972 (2013).

[Crossref]

W. Man, M. Florescu, E. P. Williamson, Y. He, S. R. Hashemizad, B. Y. C. Leung, D. R. Liner, S. Torquato, P. M. Chaikin, and P. J. Steinhardt, “Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids,” Proc. Natl. Acad. Sci. USA 110, 15886–15891 (2013).

[Crossref]

W. Man, M. Florescu, E. P. Williamson, Y. He, S. R. Hashemizad, B. Y. C. Leung, D. R. Liner, S. Torquato, P. M. Chaikin, and P. J. Steinhardt, “Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids,” Proc. Natl. Acad. Sci. USA 110, 15886–15891 (2013).

[Crossref]

M. Rechtsman, A. Szameit, F. Dreisow, M. Heinrich, R. Keil, S. Nolte, and M. Segev, “Amorphous photonic lattices: band gaps, effective mass, and suppressed transport,” Phys. Rev. Lett. 106, 193904 (2011).

[Crossref]

R. Dreyfus, Y. Xu, T. Still, L. A. Hough, A. G. Yodh, and S. Torquato, “Diagnosing hyperuniformity in two-dimensional, disordered, jammed packings of soft spheres,” Phys. Rev. E 91, 012302 (2015).

[Crossref]

J.-H. Tian, J. Hu, S.-S. Li, F. Zhang, J. Liu, J. Shi, X. Li, Z.-Q. Tian, and Y. Chen, “Improved seedless hydrothermal synthesis of dense and ultralong ZnO nanowires,” Nanotechnology 22, 245601 (2011).

[Crossref]

C. E. Zachary, Y. Jiao, and S. Torquato, “Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings,” Phys. Rev. Lett. 106, 178001 (2011).

[Crossref]

C. Jin, X. Meng, B. Cheng, Z. Li, and D. Zhang, “Photonic gap in amorphous photonic materials,” Phys. Rev. B 63, 195107 (2001).

[Crossref]

A. Gabrielli, M. Joyce, and S. Torquato, “Tilings of space and superhomogeneous point processes,” Phys. Rev. E 77, 031125 (2008).

[Crossref]

A. Gabrielli, M. Joyce, and F. Sylos Labini, “Glass-like universe: real-space correlation properties of standard cosmological models,” Phys. Rev. D 65, 083523 (2002).

[Crossref]

K. Edagawa, S. Kanoko, and M. Notomi, “Photonic amorphous diamond structure with a 3D photonic band gap,” Phys. Rev. Lett. 100, 013901 (2008).

[Crossref]

M. Rechtsman, A. Szameit, F. Dreisow, M. Heinrich, R. Keil, S. Nolte, and M. Segev, “Amorphous photonic lattices: band gaps, effective mass, and suppressed transport,” Phys. Rev. Lett. 106, 193904 (2011).

[Crossref]

S. M. Rytov, Y. A. Kravtsov, and V. I. Tatarskii, Principles of Statistical Radiophysics (Springer-Verlag, 1989), Vol. 4.

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, “Controlling waves in space and time for imaging and focusing in complex media,” Nat. Photonics 6, 283–292 (2012).

[Crossref]

M. Lax, “Multiple scattering of waves. II. The effective field in dense systems,” Phys. Rev. 85, 621–629 (1952).

[Crossref]

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, “Controlling waves in space and time for imaging and focusing in complex media,” Nat. Photonics 6, 283–292 (2012).

[Crossref]

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, “Measuring the transmission matrix in optics: an approach to the study and control of light propagation in disordered media,” Phys. Rev. Lett. 104, 100601 (2010).

[Crossref]

O. Leseur, R. Pierrat, J. J. Sáenz, and R. Carminati, “Probing two-dimensional Anderson localization without statistics,” Phys. Rev. A 90, 053827 (2014).

[Crossref]

W. Man, M. Florescu, E. P. Williamson, Y. He, S. R. Hashemizad, B. Y. C. Leung, D. R. Liner, S. Torquato, P. M. Chaikin, and P. J. Steinhardt, “Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids,” Proc. Natl. Acad. Sci. USA 110, 15886–15891 (2013).

[Crossref]

J.-H. Tian, J. Hu, S.-S. Li, F. Zhang, J. Liu, J. Shi, X. Li, Z.-Q. Tian, and Y. Chen, “Improved seedless hydrothermal synthesis of dense and ultralong ZnO nanowires,” Nanotechnology 22, 245601 (2011).

[Crossref]

J.-H. Tian, J. Hu, S.-S. Li, F. Zhang, J. Liu, J. Shi, X. Li, Z.-Q. Tian, and Y. Chen, “Improved seedless hydrothermal synthesis of dense and ultralong ZnO nanowires,” Nanotechnology 22, 245601 (2011).

[Crossref]

C. Jin, X. Meng, B. Cheng, Z. Li, and D. Zhang, “Photonic gap in amorphous photonic materials,” Phys. Rev. B 63, 195107 (2001).

[Crossref]

J.-K. Yang, C. Schreck, H. Noh, S.-F. Liew, M. I. Guy, C. S. O’Hern, and H. Cao, “Photonic-band-gap effects in two-dimensional polycrystalline and amorphous structures,” Phys. Rev. A 82, 053838 (2010).

[Crossref]

W. Man, M. Florescu, E. P. Williamson, Y. He, S. R. Hashemizad, B. Y. C. Leung, D. R. Liner, S. Torquato, P. M. Chaikin, and P. J. Steinhardt, “Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids,” Proc. Natl. Acad. Sci. USA 110, 15886–15891 (2013).

[Crossref]

J.-H. Tian, J. Hu, S.-S. Li, F. Zhang, J. Liu, J. Shi, X. Li, Z.-Q. Tian, and Y. Chen, “Improved seedless hydrothermal synthesis of dense and ultralong ZnO nanowires,” Nanotechnology 22, 245601 (2011).

[Crossref]

P. D. García, R. Sapienza, and C. López, “Photonic glasses: a step beyond white paint,” Adv. Mater. 22, 12–19 (2010).

[Crossref]

P. D. García, R. Sapienza, A. Blanco, and C. López, “Photonic glass: a novel random material for light,” Adv. Mater. 19, 2597–2602 (2007).

[Crossref]

W. Man, M. Florescu, K. Matsuyama, P. Yadak, G. Nahal, S. Hashemizad, E. Williamson, P. Steinhardt, S. Torquato, and P. Chaikin, “Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast,” Opt. Express 21, 19972 (2013).

[Crossref]

W. Man, M. Florescu, E. P. Williamson, Y. He, S. R. Hashemizad, B. Y. C. Leung, D. R. Liner, S. Torquato, P. M. Chaikin, and P. J. Steinhardt, “Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids,” Proc. Natl. Acad. Sci. USA 110, 15886–15891 (2013).

[Crossref]

S. Fraden and G. Maret, “Multiple light scattering from concentrated, interacting suspensions,” Phys. Rev. Lett. 65, 512–515 (1990).

[Crossref]

N. Muller, J. Haberko, C. Marichy, and F. Scheffold, “Silicon hyperuniform disordered photonic materials with a pronounced gap in the shortwave infrared,” Adv. Opt. Mater. 2, 115–119 (2013).

[Crossref]

W. Man, M. Florescu, K. Matsuyama, P. Yadak, G. Nahal, S. Hashemizad, E. Williamson, P. Steinhardt, S. Torquato, and P. Chaikin, “Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast,” Opt. Express 21, 19972 (2013).

[Crossref]

J.-P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic, 2005).

L. F. Rojas-Ochoa, J. M. Mendez-Alcaraz, J. J. Sáenz, P. Schurtenberger, and F. Scheffold, “Photonic properties of strongly correlated colloidal liquids,” Phys. Rev. Lett. 93, 073903 (2004).

[Crossref]

C. Jin, X. Meng, B. Cheng, Z. Li, and D. Zhang, “Photonic gap in amorphous photonic materials,” Phys. Rev. B 63, 195107 (2001).

[Crossref]

E. Akkermans and G. Montambaux, Mesoscopic Physics of Electrons and Photons (Cambridge University, 2007).

N. Muller, J. Haberko, C. Marichy, and F. Scheffold, “Silicon hyperuniform disordered photonic materials with a pronounced gap in the shortwave infrared,” Adv. Opt. Mater. 2, 115–119 (2013).

[Crossref]

J. Haberko, N. Muller, and F. Scheffold, “Direct laser writing of three-dimensional network structures as templates for disordered photonic materials,” Phys. Rev. A 88, 043822 (2013).

[Crossref]

L. S. Froufe-Pérez, M. Engel, P. F. Damasceno, N. Muller, J. Haberko, S. C. Glotzer, and F. Scheffold, “The role of short-range order and hyperuniformity in the formation of band gaps in disordered photonic materials,” arXiv:1602.01002 (2016).

W. Man, M. Florescu, K. Matsuyama, P. Yadak, G. Nahal, S. Hashemizad, E. Williamson, P. Steinhardt, S. Torquato, and P. Chaikin, “Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast,” Opt. Express 21, 19972 (2013).

[Crossref]

J.-K. Yang, C. Schreck, H. Noh, S.-F. Liew, M. I. Guy, C. S. O’Hern, and H. Cao, “Photonic-band-gap effects in two-dimensional polycrystalline and amorphous structures,” Phys. Rev. A 82, 053838 (2010).

[Crossref]

M. Rechtsman, A. Szameit, F. Dreisow, M. Heinrich, R. Keil, S. Nolte, and M. Segev, “Amorphous photonic lattices: band gaps, effective mass, and suppressed transport,” Phys. Rev. Lett. 106, 193904 (2011).

[Crossref]

K. Edagawa, S. Kanoko, and M. Notomi, “Photonic amorphous diamond structure with a 3D photonic band gap,” Phys. Rev. Lett. 100, 013901 (2008).

[Crossref]

J.-K. Yang, C. Schreck, H. Noh, S.-F. Liew, M. I. Guy, C. S. O’Hern, and H. Cao, “Photonic-band-gap effects in two-dimensional polycrystalline and amorphous structures,” Phys. Rev. A 82, 053838 (2010).

[Crossref]

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[Crossref]

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[Crossref]

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[Crossref]

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[Crossref]

M. Rechtsman, A. Szameit, F. Dreisow, M. Heinrich, R. Keil, S. Nolte, and M. Segev, “Amorphous photonic lattices: band gaps, effective mass, and suppressed transport,” Phys. Rev. Lett. 106, 193904 (2011).

[Crossref]

M. Reufer, L. F. Rojas-Ochoa, S. Eiden, J. J. Sáenz, and F. Scheffold, “Transport of light in amorphous photonic materials,” Appl. Phys. Lett. 91, 171904 (2007).

[Crossref]

M. Reufer, L. F. Rojas-Ochoa, S. Eiden, J. J. Sáenz, and F. Scheffold, “Transport of light in amorphous photonic materials,” Appl. Phys. Lett. 91, 171904 (2007).

[Crossref]

L. F. Rojas-Ochoa, J. M. Mendez-Alcaraz, J. J. Sáenz, P. Schurtenberger, and F. Scheffold, “Photonic properties of strongly correlated colloidal liquids,” Phys. Rev. Lett. 93, 073903 (2004).

[Crossref]

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[Crossref]

M. Reufer, L. F. Rojas-Ochoa, S. Eiden, J. J. Sáenz, and F. Scheffold, “Transport of light in amorphous photonic materials,” Appl. Phys. Lett. 91, 171904 (2007).

[Crossref]

L. F. Rojas-Ochoa, J. M. Mendez-Alcaraz, J. J. Sáenz, P. Schurtenberger, and F. Scheffold, “Photonic properties of strongly correlated colloidal liquids,” Phys. Rev. Lett. 93, 073903 (2004).

[Crossref]

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[Crossref]

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[Crossref]

J. Haberko, N. Muller, and F. Scheffold, “Direct laser writing of three-dimensional network structures as templates for disordered photonic materials,” Phys. Rev. A 88, 043822 (2013).

[Crossref]

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[Crossref]

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[Crossref]

M. Reufer, L. F. Rojas-Ochoa, S. Eiden, J. J. Sáenz, and F. Scheffold, “Transport of light in amorphous photonic materials,” Appl. Phys. Lett. 91, 171904 (2007).

[Crossref]

L. F. Rojas-Ochoa, J. M. Mendez-Alcaraz, J. J. Sáenz, P. Schurtenberger, and F. Scheffold, “Photonic properties of strongly correlated colloidal liquids,” Phys. Rev. Lett. 93, 073903 (2004).

[Crossref]

L. S. Froufe-Pérez, M. Engel, P. F. Damasceno, N. Muller, J. Haberko, S. C. Glotzer, and F. Scheffold, “The role of short-range order and hyperuniformity in the formation of band gaps in disordered photonic materials,” arXiv:1602.01002 (2016).

J.-K. Yang, C. Schreck, H. Noh, S.-F. Liew, M. I. Guy, C. S. O’Hern, and H. Cao, “Photonic-band-gap effects in two-dimensional polycrystalline and amorphous structures,” Phys. Rev. A 82, 053838 (2010).

[Crossref]

L. F. Rojas-Ochoa, J. M. Mendez-Alcaraz, J. J. Sáenz, P. Schurtenberger, and F. Scheffold, “Photonic properties of strongly correlated colloidal liquids,” Phys. Rev. Lett. 93, 073903 (2004).

[Crossref]

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M. Rechtsman, A. Szameit, F. Dreisow, M. Heinrich, R. Keil, S. Nolte, and M. Segev, “Amorphous photonic lattices: band gaps, effective mass, and suppressed transport,” Phys. Rev. Lett. 106, 193904 (2011).

[Crossref]

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J.-H. Tian, J. Hu, S.-S. Li, F. Zhang, J. Liu, J. Shi, X. Li, Z.-Q. Tian, and Y. Chen, “Improved seedless hydrothermal synthesis of dense and ultralong ZnO nanowires,” Nanotechnology 22, 245601 (2011).

[Crossref]

W. Man, M. Florescu, K. Matsuyama, P. Yadak, G. Nahal, S. Hashemizad, E. Williamson, P. Steinhardt, S. Torquato, and P. Chaikin, “Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast,” Opt. Express 21, 19972 (2013).

[Crossref]

M. Florescu, P. J. Steinhardt, and S. Torquato, “Optical cavities and waveguides in hyperuniform disordered photonic solids,” Phys. Rev. B 87, 165116 (2013).

[Crossref]

W. Man, M. Florescu, E. P. Williamson, Y. He, S. R. Hashemizad, B. Y. C. Leung, D. R. Liner, S. Torquato, P. M. Chaikin, and P. J. Steinhardt, “Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids,” Proc. Natl. Acad. Sci. USA 110, 15886–15891 (2013).

[Crossref]

M. Florescu, S. Torquato, and P. J. Steinhardt, “Designer disordered materials with large, complete photonic band gaps,” Proc. Natl. Acad. Sci. USA 106, 20658–20663 (2009).

[Crossref]

R. Dreyfus, Y. Xu, T. Still, L. A. Hough, A. G. Yodh, and S. Torquato, “Diagnosing hyperuniformity in two-dimensional, disordered, jammed packings of soft spheres,” Phys. Rev. E 91, 012302 (2015).

[Crossref]

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[Crossref]

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[Crossref]

O. U. Uche, S. Torquato, and F. H. Stillinger, “Collective coordinate control of density distributions,” Phys. Rev. E 74, 031104 (2006).

[Crossref]

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[Crossref]

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[Crossref]

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[Crossref]

M. Rechtsman, A. Szameit, F. Dreisow, M. Heinrich, R. Keil, S. Nolte, and M. Segev, “Amorphous photonic lattices: band gaps, effective mass, and suppressed transport,” Phys. Rev. Lett. 106, 193904 (2011).

[Crossref]

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J.-H. Tian, J. Hu, S.-S. Li, F. Zhang, J. Liu, J. Shi, X. Li, Z.-Q. Tian, and Y. Chen, “Improved seedless hydrothermal synthesis of dense and ultralong ZnO nanowires,” Nanotechnology 22, 245601 (2011).

[Crossref]

J.-H. Tian, J. Hu, S.-S. Li, F. Zhang, J. Liu, J. Shi, X. Li, Z.-Q. Tian, and Y. Chen, “Improved seedless hydrothermal synthesis of dense and ultralong ZnO nanowires,” Nanotechnology 22, 245601 (2011).

[Crossref]

R. Dreyfus, Y. Xu, T. Still, L. A. Hough, A. G. Yodh, and S. Torquato, “Diagnosing hyperuniformity in two-dimensional, disordered, jammed packings of soft spheres,” Phys. Rev. E 91, 012302 (2015).

[Crossref]

W. Man, M. Florescu, K. Matsuyama, P. Yadak, G. Nahal, S. Hashemizad, E. Williamson, P. Steinhardt, S. Torquato, and P. Chaikin, “Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast,” Opt. Express 21, 19972 (2013).

[Crossref]

M. Florescu, P. J. Steinhardt, and S. Torquato, “Optical cavities and waveguides in hyperuniform disordered photonic solids,” Phys. Rev. B 87, 165116 (2013).

[Crossref]

W. Man, M. Florescu, E. P. Williamson, Y. He, S. R. Hashemizad, B. Y. C. Leung, D. R. Liner, S. Torquato, P. M. Chaikin, and P. J. Steinhardt, “Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids,” Proc. Natl. Acad. Sci. USA 110, 15886–15891 (2013).

[Crossref]

C. E. Zachary, Y. Jiao, and S. Torquato, “Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings,” Phys. Rev. Lett. 106, 178001 (2011).

[Crossref]

M. Florescu, S. Torquato, and P. J. Steinhardt, “Designer disordered materials with large, complete photonic band gaps,” Proc. Natl. Acad. Sci. USA 106, 20658–20663 (2009).

[Crossref]

R. D. Batten, F. H. Stillinger, and S. Torquato, “Classical disordered ground states: super-ideal gases and stealth and equi-luminous materials,” J. Appl. Phys. 104, 033504 (2008).

[Crossref]

A. Gabrielli, M. Joyce, and S. Torquato, “Tilings of space and superhomogeneous point processes,” Phys. Rev. E 77, 031125 (2008).

[Crossref]

O. U. Uche, S. Torquato, and F. H. Stillinger, “Collective coordinate control of density distributions,” Phys. Rev. E 74, 031104 (2006).

[Crossref]

A. Donev, F. Stillinger, and S. Torquato, “Unexpected density fluctuations in jammed disordered sphere packings,” Phys. Rev. Lett. 95, 090604 (2005).

[Crossref]

O. U. Uche, F. H. Stillinger, and S. Torquato, “Constraints on collective density variables: two dimensions,” Phys. Rev. E 70, 046122 (2004).

[Crossref]

S. Torquato and F. H. Stillinger, “Local density fluctuations, hyperuniformity, and order metrics,” Phys. Rev. E 68, 041113 (2003).

[Crossref]

O. U. Uche, S. Torquato, and F. H. Stillinger, “Collective coordinate control of density distributions,” Phys. Rev. E 74, 031104 (2006).

[Crossref]

O. U. Uche, F. H. Stillinger, and S. Torquato, “Constraints on collective density variables: two dimensions,” Phys. Rev. E 70, 046122 (2004).

[Crossref]

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[Crossref]

G. M. Conley, M. Burresi, F. Pratesi, K. Vynck, and D. S. Wiersma, “Light transport and localization in two-dimensional correlated disorder,” Phys. Rev. Lett. 112, 143901 (2014).

[Crossref]

W. Man, M. Florescu, K. Matsuyama, P. Yadak, G. Nahal, S. Hashemizad, E. Williamson, P. Steinhardt, S. Torquato, and P. Chaikin, “Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast,” Opt. Express 21, 19972 (2013).

[Crossref]

W. Man, M. Florescu, E. P. Williamson, Y. He, S. R. Hashemizad, B. Y. C. Leung, D. R. Liner, S. Torquato, P. M. Chaikin, and P. J. Steinhardt, “Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids,” Proc. Natl. Acad. Sci. USA 110, 15886–15891 (2013).

[Crossref]

R. Dreyfus, Y. Xu, T. Still, L. A. Hough, A. G. Yodh, and S. Torquato, “Diagnosing hyperuniformity in two-dimensional, disordered, jammed packings of soft spheres,” Phys. Rev. E 91, 012302 (2015).

[Crossref]

W. Man, M. Florescu, K. Matsuyama, P. Yadak, G. Nahal, S. Hashemizad, E. Williamson, P. Steinhardt, S. Torquato, and P. Chaikin, “Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast,” Opt. Express 21, 19972 (2013).

[Crossref]

A. Yamilov and H. Cao, “Density of resonant states and a manifestation of photonic band structure in small clusters of spherical particles,” Phys. Rev. B 68, 085111 (2003).

[Crossref]

J.-K. Yang, C. Schreck, H. Noh, S.-F. Liew, M. I. Guy, C. S. O’Hern, and H. Cao, “Photonic-band-gap effects in two-dimensional polycrystalline and amorphous structures,” Phys. Rev. A 82, 053838 (2010).

[Crossref]

R. Dreyfus, Y. Xu, T. Still, L. A. Hough, A. G. Yodh, and S. Torquato, “Diagnosing hyperuniformity in two-dimensional, disordered, jammed packings of soft spheres,” Phys. Rev. E 91, 012302 (2015).

[Crossref]

C. E. Zachary, Y. Jiao, and S. Torquato, “Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings,” Phys. Rev. Lett. 106, 178001 (2011).

[Crossref]

C. Jin, X. Meng, B. Cheng, Z. Li, and D. Zhang, “Photonic gap in amorphous photonic materials,” Phys. Rev. B 63, 195107 (2001).

[Crossref]

J.-H. Tian, J. Hu, S.-S. Li, F. Zhang, J. Liu, J. Shi, X. Li, Z.-Q. Tian, and Y. Chen, “Improved seedless hydrothermal synthesis of dense and ultralong ZnO nanowires,” Nanotechnology 22, 245601 (2011).

[Crossref]

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P. D. García, R. Sapienza, A. Blanco, and C. López, “Photonic glass: a novel random material for light,” Adv. Mater. 19, 2597–2602 (2007).

[Crossref]

P. D. García, R. Sapienza, and C. López, “Photonic glasses: a step beyond white paint,” Adv. Mater. 22, 12–19 (2010).

[Crossref]

N. Muller, J. Haberko, C. Marichy, and F. Scheffold, “Silicon hyperuniform disordered photonic materials with a pronounced gap in the shortwave infrared,” Adv. Opt. Mater. 2, 115–119 (2013).

[Crossref]

M. Reufer, L. F. Rojas-Ochoa, S. Eiden, J. J. Sáenz, and F. Scheffold, “Transport of light in amorphous photonic materials,” Appl. Phys. Lett. 91, 171904 (2007).

[Crossref]

R. D. Batten, F. H. Stillinger, and S. Torquato, “Classical disordered ground states: super-ideal gases and stealth and equi-luminous materials,” J. Appl. Phys. 104, 033504 (2008).

[Crossref]

J.-H. Tian, J. Hu, S.-S. Li, F. Zhang, J. Liu, J. Shi, X. Li, Z.-Q. Tian, and Y. Chen, “Improved seedless hydrothermal synthesis of dense and ultralong ZnO nanowires,” Nanotechnology 22, 245601 (2011).

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[Crossref]

J. Haberko and F. Scheffold, “Fabrication of mesoscale polymeric templates for three-dimensional disordered photonic materials,” Opt. Express 21, 1057 (2013).

[Crossref]

W. Man, M. Florescu, K. Matsuyama, P. Yadak, G. Nahal, S. Hashemizad, E. Williamson, P. Steinhardt, S. Torquato, and P. Chaikin, “Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast,” Opt. Express 21, 19972 (2013).

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[Crossref]

J.-K. Yang, C. Schreck, H. Noh, S.-F. Liew, M. I. Guy, C. S. O’Hern, and H. Cao, “Photonic-band-gap effects in two-dimensional polycrystalline and amorphous structures,” Phys. Rev. A 82, 053838 (2010).

[Crossref]

J. Haberko, N. Muller, and F. Scheffold, “Direct laser writing of three-dimensional network structures as templates for disordered photonic materials,” Phys. Rev. A 88, 043822 (2013).

[Crossref]

M. Florescu, P. J. Steinhardt, and S. Torquato, “Optical cavities and waveguides in hyperuniform disordered photonic solids,” Phys. Rev. B 87, 165116 (2013).

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A. Yamilov and H. Cao, “Density of resonant states and a manifestation of photonic band structure in small clusters of spherical particles,” Phys. Rev. B 68, 085111 (2003).

[Crossref]

C. Jin, X. Meng, B. Cheng, Z. Li, and D. Zhang, “Photonic gap in amorphous photonic materials,” Phys. Rev. B 63, 195107 (2001).

[Crossref]

A. Gabrielli, M. Joyce, and F. Sylos Labini, “Glass-like universe: real-space correlation properties of standard cosmological models,” Phys. Rev. D 65, 083523 (2002).

[Crossref]

S. Torquato and F. H. Stillinger, “Local density fluctuations, hyperuniformity, and order metrics,” Phys. Rev. E 68, 041113 (2003).

[Crossref]

O. U. Uche, F. H. Stillinger, and S. Torquato, “Constraints on collective density variables: two dimensions,” Phys. Rev. E 70, 046122 (2004).

[Crossref]

A. Gabrielli, M. Joyce, and S. Torquato, “Tilings of space and superhomogeneous point processes,” Phys. Rev. E 77, 031125 (2008).

[Crossref]

R. Dreyfus, Y. Xu, T. Still, L. A. Hough, A. G. Yodh, and S. Torquato, “Diagnosing hyperuniformity in two-dimensional, disordered, jammed packings of soft spheres,” Phys. Rev. E 91, 012302 (2015).

[Crossref]

O. U. Uche, S. Torquato, and F. H. Stillinger, “Collective coordinate control of density distributions,” Phys. Rev. E 74, 031104 (2006).

[Crossref]

C. E. Zachary, Y. Jiao, and S. Torquato, “Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings,” Phys. Rev. Lett. 106, 178001 (2011).

[Crossref]

A. Donev, F. Stillinger, and S. Torquato, “Unexpected density fluctuations in jammed disordered sphere packings,” Phys. Rev. Lett. 95, 090604 (2005).

[Crossref]

G. M. Conley, M. Burresi, F. Pratesi, K. Vynck, and D. S. Wiersma, “Light transport and localization in two-dimensional correlated disorder,” Phys. Rev. Lett. 112, 143901 (2014).

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[Crossref]

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[Crossref]

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, “Measuring the transmission matrix in optics: an approach to the study and control of light propagation in disordered media,” Phys. Rev. Lett. 104, 100601 (2010).

[Crossref]

L. F. Rojas-Ochoa, J. M. Mendez-Alcaraz, J. J. Sáenz, P. Schurtenberger, and F. Scheffold, “Photonic properties of strongly correlated colloidal liquids,” Phys. Rev. Lett. 93, 073903 (2004).

[Crossref]

M. Florescu, S. Torquato, and P. J. Steinhardt, “Designer disordered materials with large, complete photonic band gaps,” Proc. Natl. Acad. Sci. USA 106, 20658–20663 (2009).

[Crossref]

W. Man, M. Florescu, E. P. Williamson, Y. He, S. R. Hashemizad, B. Y. C. Leung, D. R. Liner, S. Torquato, P. M. Chaikin, and P. J. Steinhardt, “Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids,” Proc. Natl. Acad. Sci. USA 110, 15886–15891 (2013).

[Crossref]

L. S. Froufe-Pérez, M. Engel, P. F. Damasceno, N. Muller, J. Haberko, S. C. Glotzer, and F. Scheffold, “The role of short-range order and hyperuniformity in the formation of band gaps in disordered photonic materials,” arXiv:1602.01002 (2016).

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