Abstract

Using techniques of flow-assisted self-assembly we synthesized three-dimensional (3D) lattices of dye-doped fluorescent (FL) 5 µm polystyrene spheres with 3% size dispersion with well controlled thickness from one monolayer up to 43 monolayers. In FL transmission spectra of such lattices we observed signatures of coupling between multiple spheres with nearly resonant whispering gallery modes (WGMs). These include (i) splitting of the WGM-related peaks with the magnitude 4.0–5.3 nm at the average wavelength 535 nm, (ii) pump dependence of FL transmission showing that the splitting is seen only above the threshold for lasing WGMs, and (iii) anomalously high transmission at the WGM peak wavelengths compared to the background for samples with thickness around 25 µm. We propose a qualitative interpretation of the observed WGM transport based on an analogy with percolation theory where the sites of the lattice (spheres) are connected with optical “bonds” which are present with probability depending on the spheres’ size dispersion. We predict that the WGM percolation threshold should be achievable in close packed 3D lattices formed by cavities with~103 quality factors of WGMs and with ~1% size dispersion. Such systems can be used for developing next generation of resonant sensors and arrayed-resonator light emitting devices.

© 2007 Optical Society of America

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2007 (4)

B. M. Möller, U. Woggon, and M. V. Artemyev, "Bloch modes and disorder phenomena in coupled resonator chains," Phys. Rev. B 75, 245327 (2007).
[CrossRef]

S. Mookherjea and A. Oh, "Effect of disorder on slow light velocity in optical slow-wave structures," Opt. Lett. 32, 289-291 (2007).
[CrossRef] [PubMed]

F. Xia, L. Sekaric, and Yu. A. Vlasov, "Ultra-compact optical buffers on a silicon chip," Nature Photon. 1, 65-71 (2007).
[CrossRef]

A. M. Kapitonov and V. N. Astratov, "Observation of nanojet-induced modes with small propagation losses in chains of coupled spherical cavities," Opt. Lett. 32, 409-411 (2007).
[CrossRef] [PubMed]

2006 (8)

N. Le Thomas, U. Woggon, W. Langbein, and M. V. Artemyev, "Effect of a dielectric substrate on whispering-gallery-mode sensors," J. Opt. Soc. Am. B 23, 2361-2365 (2006).
[CrossRef]

A. B. Matsko and V. S. Ilchenko, "Optical resonators with whispering-gallery modes - part I: basics," IEEE J. Sel. Top. Quantum Electron. 12, 3-14 (2006).
[CrossRef]

V. S. Ilchenko and A. B. Matsko, "Optical resonators with whispering-gallery modes - part II: applications," IEEE J. Sel. Top. Quantum Electron. 12, 15-32 (2006).
[CrossRef]

J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, "Transmission and group delay of microring coupledresonator optical waveguides," Opt. Lett. 31, 456-458 (2006).
[CrossRef] [PubMed]

A. V. Kanaev, V. N. Astratov, and W. Cai, "Optical coupling at a distance between detuned spherical cavities," Appl. Phys. Lett. 88, 111111 (2006).
[CrossRef]

S. P. Ashili, V. N. Astratov, and E. C. H. Sykes, "The effects of inter-cavity separation on optical coupling in dielectric bispheres," Opt. Express 14, 9460-9466 (2006).
[CrossRef] [PubMed]

S. V. Boriskina, "Theoretical prediction of a dramatic Q-factor enhancement and degeneracy removal of whispering gallery modes in symmetrical photonic molecules," Opt. Lett. 31, 338-340 (2006).
[CrossRef] [PubMed]

M. Störzer, P. Gross, C. M. Aeggerter, and G. Maret, "Observation of the critical regime near Anderson localization of light," Phys. Rev. Lett. 96, 063904 (2006).
[CrossRef] [PubMed]

2005 (2)

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres," Phys. Rev. Lett. 94, 203905 (2005).
[CrossRef] [PubMed]

B. M. Möller, U. Woggon, and M. V. Artemyev, "Coupled-resonator optical waveguides doped with nanocrystals," Opt. Lett. 30, 2116-2118 (2005).
[CrossRef] [PubMed]

2004 (5)

V. N. Astratov, J. P. Franchak, and S. P. Ashili, "Optical coupling and transport phenomena in chains of spherical dielectric microresonators with size disorder," Appl. Phys. Lett. 85, 5508-5510 (2004).
[CrossRef]

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, "Very high-order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004).
[CrossRef]

S. Deng, W. Cai, and V. N. Astratov, "Numerical study of light propagation via whispering gallery modes in microcylinder coupled resonator optical waveguides," Opt. Express 12, 6468-6480 (2004).
[CrossRef] [PubMed]

J. E. Heebner, P. Chak, S. Pereira, J. E. Sipe, and R. W. Boyd, "Distributed and localized feedback in microresonator sequences for linear and nonlinear optics," J. Opt. Soc. Am. B 21, 1818-1832 (2004).
[CrossRef]

Z. Chen, A. Taflove, and V. Backman, "Photonic nanojet enhancement of backscattering of light by nanoparticles: a potential novel visible-light ultramicroscopy technique," Opt. Express 12,1214-1220 (2004).
[CrossRef] [PubMed]

2003 (4)

M. Sumetsky and B. J. Eggleton, "Modeling and optimization of complex photonic resonant cavity circuits," Opt. Express 11, 381-391 (2003).
[CrossRef] [PubMed]

A. Melloni, F. Morichetti, and M. Martinelli, "Linear and nonlinear pulse propagation in coupled resonator slow-wave optical structures," Opt. Quantum Electron. 35, 365-379 (2003).
[CrossRef]

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Photonic molecule lasing," Opt. Lett. 28, 2437-2439 (2003).
[CrossRef] [PubMed]

H. Guo, H. Chen, P. Ni, Q. Zhang, B. Cheng, and D. Zhang, "Transmission modulation in the passband of polystyrene photonic crystals," Appl. Phys. Lett. 82, 373-375 (2003).
[CrossRef]

2002 (4)

M.D. Barnes, S.M. Mahurin, A. Mehta, B.G. Sumpter, and D.W. Noid, "Three-Dimensional photonic "molecules" from sequentially attached polymer-blend microparticles," Phys. Rev. Lett. 88, 015508 (2002).
[CrossRef] [PubMed]

J.E. Heebner, R. W. Boyd, and Q. H. Park, "SCISSOR solitons and other novel propagation effects in microresonator-midified waveguides," J. Opt. Soc. Am. B 19, 722-731 (2002).
[CrossRef]

R. Albert and A.-L. Barabasi, "Statistical mechanics of complex networks," Rev. Mod. Phys. 74, 47-97 (2002).
[CrossRef]

V. N. Astratov, A. M. Adawi, S. Fricker, M. S. Skolnick, D. M. Whittaker, and P. N. Pusey, "Interplay of order and disorder in the optical properties of opal photonic crystals," Phys. Rev. B 66, 165215 (2002).
[CrossRef]

1999 (3)

B. Gates, D. Qin, and Y. Xia, "Assembly of nanoparticles into opaline structures over large areas," Adv. Mater. 11, 466-469 (1999).
[CrossRef]

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, and M. Kuwata-Gonokami, "Tight-binding photonic molecule modes of resonant bispheres," Phys. Rev. Lett. 82, 4623-4626 (1999).
[CrossRef]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: a proposal and analysis," Opt. Lett. 24, 711-713 (1999).
[CrossRef]

1998 (4)

N. Stefanou, A. Modinos, "Impurity bands in photonic insulators," Phys. Rev. B,  57, 12127-12133 (1998).
[CrossRef]

P. W. Brouwer, "Transmission through a many-channel random waveguide with absorption," Phys. Rev. B 57, 10526-10536 (1998).
[CrossRef]

C. D. Lorenz and R. M. Ziff, "Precise determination of the bond percolation thresholds and finite-size scaling corrections for the sc, fcc, and fcc lattices," Phys. Rev. E 57, 230-236 (1998).
[CrossRef]

V. S. Ilchenko, P. S. Volkov, V. L. Velichansky, F. Treussart, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, "Strain-tunable high-Q optical microsphere resonator," Opt. Comm. 145, 86-90 (1998).
[CrossRef]

1997 (3)

D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, "Localization of light in a disordered medium," Nature 390, 671-673 (1997).
[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998-1005 (1997).
[CrossRef]

M. Stoytchev and A. Z. Genack, "Measurement of the probability distribution of total transmission in random waveguides," Phys. Rev. Lett. 79, 309-312 (1997).
[CrossRef]

1991 (1)

M. Sumetsky, "Modelling of complicated nanometer resonant tunneling devices with quantum dots," J. Phys.: Condens. Matter 3, 2651-2664 (1991).
[CrossRef]

1984 (1)

S. John, "Electromagnetic absorption in a disordered medium near a photon mobility edge," Phys. Rev. Lett. 53, 2169-2172 (1984).
[CrossRef]

1964 (1)

M. F. Sykes and J. W. Essam, "Exact critical percolation probabilities for site and bond problems in two dimensions," J. of Math. Phys. (N.Y.) 5, 1117-1127 (1964).
[CrossRef]

1958 (1)

P. W. Anderson, "Absence of diffusion in certain random lattices", Phys. Rev. 109, 1492-1505 (1958).
[CrossRef]

Absil, P. P.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, "Very high-order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004).
[CrossRef]

Adawi, A. M.

V. N. Astratov, A. M. Adawi, S. Fricker, M. S. Skolnick, D. M. Whittaker, and P. N. Pusey, "Interplay of order and disorder in the optical properties of opal photonic crystals," Phys. Rev. B 66, 165215 (2002).
[CrossRef]

Aeggerter, C. M.

M. Störzer, P. Gross, C. M. Aeggerter, and G. Maret, "Observation of the critical regime near Anderson localization of light," Phys. Rev. Lett. 96, 063904 (2006).
[CrossRef] [PubMed]

Albert, R.

R. Albert and A.-L. Barabasi, "Statistical mechanics of complex networks," Rev. Mod. Phys. 74, 47-97 (2002).
[CrossRef]

Anderson, P. W.

P. W. Anderson, "Absence of diffusion in certain random lattices", Phys. Rev. 109, 1492-1505 (1958).
[CrossRef]

Artemyev, M. V.

Ashili, S. P.

S. P. Ashili, V. N. Astratov, and E. C. H. Sykes, "The effects of inter-cavity separation on optical coupling in dielectric bispheres," Opt. Express 14, 9460-9466 (2006).
[CrossRef] [PubMed]

V. N. Astratov, J. P. Franchak, and S. P. Ashili, "Optical coupling and transport phenomena in chains of spherical dielectric microresonators with size disorder," Appl. Phys. Lett. 85, 5508-5510 (2004).
[CrossRef]

Astratov, V. N.

A. M. Kapitonov and V. N. Astratov, "Observation of nanojet-induced modes with small propagation losses in chains of coupled spherical cavities," Opt. Lett. 32, 409-411 (2007).
[CrossRef] [PubMed]

S. P. Ashili, V. N. Astratov, and E. C. H. Sykes, "The effects of inter-cavity separation on optical coupling in dielectric bispheres," Opt. Express 14, 9460-9466 (2006).
[CrossRef] [PubMed]

A. V. Kanaev, V. N. Astratov, and W. Cai, "Optical coupling at a distance between detuned spherical cavities," Appl. Phys. Lett. 88, 111111 (2006).
[CrossRef]

S. Deng, W. Cai, and V. N. Astratov, "Numerical study of light propagation via whispering gallery modes in microcylinder coupled resonator optical waveguides," Opt. Express 12, 6468-6480 (2004).
[CrossRef] [PubMed]

V. N. Astratov, J. P. Franchak, and S. P. Ashili, "Optical coupling and transport phenomena in chains of spherical dielectric microresonators with size disorder," Appl. Phys. Lett. 85, 5508-5510 (2004).
[CrossRef]

V. N. Astratov, A. M. Adawi, S. Fricker, M. S. Skolnick, D. M. Whittaker, and P. N. Pusey, "Interplay of order and disorder in the optical properties of opal photonic crystals," Phys. Rev. B 66, 165215 (2002).
[CrossRef]

Backman, V.

Barabasi, A.-L.

R. Albert and A.-L. Barabasi, "Statistical mechanics of complex networks," Rev. Mod. Phys. 74, 47-97 (2002).
[CrossRef]

Barnes, M.D.

M.D. Barnes, S.M. Mahurin, A. Mehta, B.G. Sumpter, and D.W. Noid, "Three-Dimensional photonic "molecules" from sequentially attached polymer-blend microparticles," Phys. Rev. Lett. 88, 015508 (2002).
[CrossRef] [PubMed]

Bartolini, P.

D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, "Localization of light in a disordered medium," Nature 390, 671-673 (1997).
[CrossRef]

Boland, J. J.

Y. P. Rakovich, J. F. Donegan, M. Gerlach, A. L. Bradley, T. M. Connolly, J. J. Boland, N. Gaponik, and A. Rogach, "Fine structure of coupled optical modes in photonic molecules," Phys. Rev. A 70, 051801(R) (2004).
[CrossRef]

Boriskina, S. V.

Boyd, R. W.

Bradley, A. L.

Y. P. Rakovich, J. F. Donegan, M. Gerlach, A. L. Bradley, T. M. Connolly, J. J. Boland, N. Gaponik, and A. Rogach, "Fine structure of coupled optical modes in photonic molecules," Phys. Rev. A 70, 051801(R) (2004).
[CrossRef]

Brouwer, P. W.

P. W. Brouwer, "Transmission through a many-channel random waveguide with absorption," Phys. Rev. B 57, 10526-10536 (1998).
[CrossRef]

Cai, W.

A. V. Kanaev, V. N. Astratov, and W. Cai, "Optical coupling at a distance between detuned spherical cavities," Appl. Phys. Lett. 88, 111111 (2006).
[CrossRef]

S. Deng, W. Cai, and V. N. Astratov, "Numerical study of light propagation via whispering gallery modes in microcylinder coupled resonator optical waveguides," Opt. Express 12, 6468-6480 (2004).
[CrossRef] [PubMed]

Chak, P.

Chen, H.

H. Guo, H. Chen, P. Ni, Q. Zhang, B. Cheng, and D. Zhang, "Transmission modulation in the passband of polystyrene photonic crystals," Appl. Phys. Lett. 82, 373-375 (2003).
[CrossRef]

Chen, Z.

Cheng, B.

H. Guo, H. Chen, P. Ni, Q. Zhang, B. Cheng, and D. Zhang, "Transmission modulation in the passband of polystyrene photonic crystals," Appl. Phys. Lett. 82, 373-375 (2003).
[CrossRef]

Chu, S. T.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, "Very high-order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004).
[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998-1005 (1997).
[CrossRef]

Connolly, T. M.

Y. P. Rakovich, J. F. Donegan, M. Gerlach, A. L. Bradley, T. M. Connolly, J. J. Boland, N. Gaponik, and A. Rogach, "Fine structure of coupled optical modes in photonic molecules," Phys. Rev. A 70, 051801(R) (2004).
[CrossRef]

Deng, S.

DeRose, G. A.

Donegan, J. F.

Y. P. Rakovich, J. F. Donegan, M. Gerlach, A. L. Bradley, T. M. Connolly, J. J. Boland, N. Gaponik, and A. Rogach, "Fine structure of coupled optical modes in photonic molecules," Phys. Rev. A 70, 051801(R) (2004).
[CrossRef]

Eggleton, B. J.

Essam, J. W.

M. F. Sykes and J. W. Essam, "Exact critical percolation probabilities for site and bond problems in two dimensions," J. of Math. Phys. (N.Y.) 5, 1117-1127 (1964).
[CrossRef]

Foresi, J.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998-1005 (1997).
[CrossRef]

Franchak, J. P.

V. N. Astratov, J. P. Franchak, and S. P. Ashili, "Optical coupling and transport phenomena in chains of spherical dielectric microresonators with size disorder," Appl. Phys. Lett. 85, 5508-5510 (2004).
[CrossRef]

Fricker, S.

V. N. Astratov, A. M. Adawi, S. Fricker, M. S. Skolnick, D. M. Whittaker, and P. N. Pusey, "Interplay of order and disorder in the optical properties of opal photonic crystals," Phys. Rev. B 66, 165215 (2002).
[CrossRef]

Gaponik, N.

Y. P. Rakovich, J. F. Donegan, M. Gerlach, A. L. Bradley, T. M. Connolly, J. J. Boland, N. Gaponik, and A. Rogach, "Fine structure of coupled optical modes in photonic molecules," Phys. Rev. A 70, 051801(R) (2004).
[CrossRef]

Gates, B.

B. Gates, D. Qin, and Y. Xia, "Assembly of nanoparticles into opaline structures over large areas," Adv. Mater. 11, 466-469 (1999).
[CrossRef]

Genack, A. Z.

M. Stoytchev and A. Z. Genack, "Measurement of the probability distribution of total transmission in random waveguides," Phys. Rev. Lett. 79, 309-312 (1997).
[CrossRef]

Gerlach, M.

Y. P. Rakovich, J. F. Donegan, M. Gerlach, A. L. Bradley, T. M. Connolly, J. J. Boland, N. Gaponik, and A. Rogach, "Fine structure of coupled optical modes in photonic molecules," Phys. Rev. A 70, 051801(R) (2004).
[CrossRef]

Gill, D.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, "Very high-order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004).
[CrossRef]

Gross, P.

M. Störzer, P. Gross, C. M. Aeggerter, and G. Maret, "Observation of the critical regime near Anderson localization of light," Phys. Rev. Lett. 96, 063904 (2006).
[CrossRef] [PubMed]

Guo, H.

H. Guo, H. Chen, P. Ni, Q. Zhang, B. Cheng, and D. Zhang, "Transmission modulation in the passband of polystyrene photonic crystals," Appl. Phys. Lett. 82, 373-375 (2003).
[CrossRef]

Hara, Y.

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres," Phys. Rev. Lett. 94, 203905 (2005).
[CrossRef] [PubMed]

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Photonic molecule lasing," Opt. Lett. 28, 2437-2439 (2003).
[CrossRef] [PubMed]

Haroche, S.

V. S. Ilchenko, P. S. Volkov, V. L. Velichansky, F. Treussart, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, "Strain-tunable high-Q optical microsphere resonator," Opt. Comm. 145, 86-90 (1998).
[CrossRef]

Haus, H. A.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998-1005 (1997).
[CrossRef]

Heebner, J. E.

Heebner, J.E.

Hryniewicz, J. V.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, "Very high-order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004).
[CrossRef]

Ilchenko, V. S.

A. B. Matsko and V. S. Ilchenko, "Optical resonators with whispering-gallery modes - part I: basics," IEEE J. Sel. Top. Quantum Electron. 12, 3-14 (2006).
[CrossRef]

V. S. Ilchenko and A. B. Matsko, "Optical resonators with whispering-gallery modes - part II: applications," IEEE J. Sel. Top. Quantum Electron. 12, 15-32 (2006).
[CrossRef]

V. S. Ilchenko, P. S. Volkov, V. L. Velichansky, F. Treussart, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, "Strain-tunable high-Q optical microsphere resonator," Opt. Comm. 145, 86-90 (1998).
[CrossRef]

Jimba, Y.

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, and M. Kuwata-Gonokami, "Tight-binding photonic molecule modes of resonant bispheres," Phys. Rev. Lett. 82, 4623-4626 (1999).
[CrossRef]

John, S.

S. John, "Electromagnetic absorption in a disordered medium near a photon mobility edge," Phys. Rev. Lett. 53, 2169-2172 (1984).
[CrossRef]

Johnson, F. G.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, "Very high-order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004).
[CrossRef]

Kanaev, A. V.

A. V. Kanaev, V. N. Astratov, and W. Cai, "Optical coupling at a distance between detuned spherical cavities," Appl. Phys. Lett. 88, 111111 (2006).
[CrossRef]

Kapitonov, A. M.

King, O.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, "Very high-order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004).
[CrossRef]

Kuwata-Gonokami, M.

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres," Phys. Rev. Lett. 94, 203905 (2005).
[CrossRef] [PubMed]

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Photonic molecule lasing," Opt. Lett. 28, 2437-2439 (2003).
[CrossRef] [PubMed]

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, and M. Kuwata-Gonokami, "Tight-binding photonic molecule modes of resonant bispheres," Phys. Rev. Lett. 82, 4623-4626 (1999).
[CrossRef]

Lagendijk, A.

D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, "Localization of light in a disordered medium," Nature 390, 671-673 (1997).
[CrossRef]

Laine, J.-P.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998-1005 (1997).
[CrossRef]

Langbein, W.

Le Thomas, N.

Lee, R. K.

Lefèvre-Seguin, V.

V. S. Ilchenko, P. S. Volkov, V. L. Velichansky, F. Treussart, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, "Strain-tunable high-Q optical microsphere resonator," Opt. Comm. 145, 86-90 (1998).
[CrossRef]

Little, B. E.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, "Very high-order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004).
[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998-1005 (1997).
[CrossRef]

Lorenz, C. D.

C. D. Lorenz and R. M. Ziff, "Precise determination of the bond percolation thresholds and finite-size scaling corrections for the sc, fcc, and fcc lattices," Phys. Rev. E 57, 230-236 (1998).
[CrossRef]

Mahurin, S.M.

M.D. Barnes, S.M. Mahurin, A. Mehta, B.G. Sumpter, and D.W. Noid, "Three-Dimensional photonic "molecules" from sequentially attached polymer-blend microparticles," Phys. Rev. Lett. 88, 015508 (2002).
[CrossRef] [PubMed]

Maret, G.

M. Störzer, P. Gross, C. M. Aeggerter, and G. Maret, "Observation of the critical regime near Anderson localization of light," Phys. Rev. Lett. 96, 063904 (2006).
[CrossRef] [PubMed]

Martinelli, M.

A. Melloni, F. Morichetti, and M. Martinelli, "Linear and nonlinear pulse propagation in coupled resonator slow-wave optical structures," Opt. Quantum Electron. 35, 365-379 (2003).
[CrossRef]

Matsko, A. B.

V. S. Ilchenko and A. B. Matsko, "Optical resonators with whispering-gallery modes - part II: applications," IEEE J. Sel. Top. Quantum Electron. 12, 15-32 (2006).
[CrossRef]

A. B. Matsko and V. S. Ilchenko, "Optical resonators with whispering-gallery modes - part I: basics," IEEE J. Sel. Top. Quantum Electron. 12, 3-14 (2006).
[CrossRef]

Mehta, A.

M.D. Barnes, S.M. Mahurin, A. Mehta, B.G. Sumpter, and D.W. Noid, "Three-Dimensional photonic "molecules" from sequentially attached polymer-blend microparticles," Phys. Rev. Lett. 88, 015508 (2002).
[CrossRef] [PubMed]

Melloni, A.

A. Melloni, F. Morichetti, and M. Martinelli, "Linear and nonlinear pulse propagation in coupled resonator slow-wave optical structures," Opt. Quantum Electron. 35, 365-379 (2003).
[CrossRef]

Miyazaki, H.

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, and M. Kuwata-Gonokami, "Tight-binding photonic molecule modes of resonant bispheres," Phys. Rev. Lett. 82, 4623-4626 (1999).
[CrossRef]

Modinos, A.

N. Stefanou, A. Modinos, "Impurity bands in photonic insulators," Phys. Rev. B,  57, 12127-12133 (1998).
[CrossRef]

Möller, B. M.

B. M. Möller, U. Woggon, and M. V. Artemyev, "Bloch modes and disorder phenomena in coupled resonator chains," Phys. Rev. B 75, 245327 (2007).
[CrossRef]

B. M. Möller, U. Woggon, and M. V. Artemyev, "Coupled-resonator optical waveguides doped with nanocrystals," Opt. Lett. 30, 2116-2118 (2005).
[CrossRef] [PubMed]

Mookherjea, S.

Morichetti, F.

A. Melloni, F. Morichetti, and M. Martinelli, "Linear and nonlinear pulse propagation in coupled resonator slow-wave optical structures," Opt. Quantum Electron. 35, 365-379 (2003).
[CrossRef]

Mukaiyama, T.

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres," Phys. Rev. Lett. 94, 203905 (2005).
[CrossRef] [PubMed]

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Photonic molecule lasing," Opt. Lett. 28, 2437-2439 (2003).
[CrossRef] [PubMed]

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, and M. Kuwata-Gonokami, "Tight-binding photonic molecule modes of resonant bispheres," Phys. Rev. Lett. 82, 4623-4626 (1999).
[CrossRef]

Ni, P.

H. Guo, H. Chen, P. Ni, Q. Zhang, B. Cheng, and D. Zhang, "Transmission modulation in the passband of polystyrene photonic crystals," Appl. Phys. Lett. 82, 373-375 (2003).
[CrossRef]

Noid, D.W.

M.D. Barnes, S.M. Mahurin, A. Mehta, B.G. Sumpter, and D.W. Noid, "Three-Dimensional photonic "molecules" from sequentially attached polymer-blend microparticles," Phys. Rev. Lett. 88, 015508 (2002).
[CrossRef] [PubMed]

Oh, A.

Park, Q. H.

Pereira, S.

Poon, J. K. S.

Pusey, P. N.

V. N. Astratov, A. M. Adawi, S. Fricker, M. S. Skolnick, D. M. Whittaker, and P. N. Pusey, "Interplay of order and disorder in the optical properties of opal photonic crystals," Phys. Rev. B 66, 165215 (2002).
[CrossRef]

Qin, D.

B. Gates, D. Qin, and Y. Xia, "Assembly of nanoparticles into opaline structures over large areas," Adv. Mater. 11, 466-469 (1999).
[CrossRef]

Raimond, J.-M.

V. S. Ilchenko, P. S. Volkov, V. L. Velichansky, F. Treussart, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, "Strain-tunable high-Q optical microsphere resonator," Opt. Comm. 145, 86-90 (1998).
[CrossRef]

Rakovich, Y. P.

Y. P. Rakovich, J. F. Donegan, M. Gerlach, A. L. Bradley, T. M. Connolly, J. J. Boland, N. Gaponik, and A. Rogach, "Fine structure of coupled optical modes in photonic molecules," Phys. Rev. A 70, 051801(R) (2004).
[CrossRef]

Righini, R.

D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, "Localization of light in a disordered medium," Nature 390, 671-673 (1997).
[CrossRef]

Rogach, A.

Y. P. Rakovich, J. F. Donegan, M. Gerlach, A. L. Bradley, T. M. Connolly, J. J. Boland, N. Gaponik, and A. Rogach, "Fine structure of coupled optical modes in photonic molecules," Phys. Rev. A 70, 051801(R) (2004).
[CrossRef]

Scherer, A.

Seiferth, F.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, "Very high-order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004).
[CrossRef]

Sekaric, L.

F. Xia, L. Sekaric, and Yu. A. Vlasov, "Ultra-compact optical buffers on a silicon chip," Nature Photon. 1, 65-71 (2007).
[CrossRef]

Sipe, J. E.

Skolnick, M. S.

V. N. Astratov, A. M. Adawi, S. Fricker, M. S. Skolnick, D. M. Whittaker, and P. N. Pusey, "Interplay of order and disorder in the optical properties of opal photonic crystals," Phys. Rev. B 66, 165215 (2002).
[CrossRef]

Stefanou, N.

N. Stefanou, A. Modinos, "Impurity bands in photonic insulators," Phys. Rev. B,  57, 12127-12133 (1998).
[CrossRef]

Störzer, M.

M. Störzer, P. Gross, C. M. Aeggerter, and G. Maret, "Observation of the critical regime near Anderson localization of light," Phys. Rev. Lett. 96, 063904 (2006).
[CrossRef] [PubMed]

Stoytchev, M.

M. Stoytchev and A. Z. Genack, "Measurement of the probability distribution of total transmission in random waveguides," Phys. Rev. Lett. 79, 309-312 (1997).
[CrossRef]

Sumetsky, M.

M. Sumetsky and B. J. Eggleton, "Modeling and optimization of complex photonic resonant cavity circuits," Opt. Express 11, 381-391 (2003).
[CrossRef] [PubMed]

M. Sumetsky, "Modelling of complicated nanometer resonant tunneling devices with quantum dots," J. Phys.: Condens. Matter 3, 2651-2664 (1991).
[CrossRef]

Sumpter, B.G.

M.D. Barnes, S.M. Mahurin, A. Mehta, B.G. Sumpter, and D.W. Noid, "Three-Dimensional photonic "molecules" from sequentially attached polymer-blend microparticles," Phys. Rev. Lett. 88, 015508 (2002).
[CrossRef] [PubMed]

Sykes, E. C. H.

Sykes, M. F.

M. F. Sykes and J. W. Essam, "Exact critical percolation probabilities for site and bond problems in two dimensions," J. of Math. Phys. (N.Y.) 5, 1117-1127 (1964).
[CrossRef]

Taflove, A.

Takeda, K.

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres," Phys. Rev. Lett. 94, 203905 (2005).
[CrossRef] [PubMed]

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Photonic molecule lasing," Opt. Lett. 28, 2437-2439 (2003).
[CrossRef] [PubMed]

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, and M. Kuwata-Gonokami, "Tight-binding photonic molecule modes of resonant bispheres," Phys. Rev. Lett. 82, 4623-4626 (1999).
[CrossRef]

Trakalo, M.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, "Very high-order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004).
[CrossRef]

Treussart, F.

V. S. Ilchenko, P. S. Volkov, V. L. Velichansky, F. Treussart, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, "Strain-tunable high-Q optical microsphere resonator," Opt. Comm. 145, 86-90 (1998).
[CrossRef]

Van, V.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, "Very high-order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004).
[CrossRef]

Velichansky, V. L.

V. S. Ilchenko, P. S. Volkov, V. L. Velichansky, F. Treussart, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, "Strain-tunable high-Q optical microsphere resonator," Opt. Comm. 145, 86-90 (1998).
[CrossRef]

Vlasov, Yu. A.

F. Xia, L. Sekaric, and Yu. A. Vlasov, "Ultra-compact optical buffers on a silicon chip," Nature Photon. 1, 65-71 (2007).
[CrossRef]

Volkov, P. S.

V. S. Ilchenko, P. S. Volkov, V. L. Velichansky, F. Treussart, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, "Strain-tunable high-Q optical microsphere resonator," Opt. Comm. 145, 86-90 (1998).
[CrossRef]

Whittaker, D. M.

V. N. Astratov, A. M. Adawi, S. Fricker, M. S. Skolnick, D. M. Whittaker, and P. N. Pusey, "Interplay of order and disorder in the optical properties of opal photonic crystals," Phys. Rev. B 66, 165215 (2002).
[CrossRef]

Wiersma, D. S.

D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, "Localization of light in a disordered medium," Nature 390, 671-673 (1997).
[CrossRef]

Woggon, U.

Xia, F.

F. Xia, L. Sekaric, and Yu. A. Vlasov, "Ultra-compact optical buffers on a silicon chip," Nature Photon. 1, 65-71 (2007).
[CrossRef]

Xia, Y.

B. Gates, D. Qin, and Y. Xia, "Assembly of nanoparticles into opaline structures over large areas," Adv. Mater. 11, 466-469 (1999).
[CrossRef]

Xu, Y.

Yariv, A.

Zhang, D.

H. Guo, H. Chen, P. Ni, Q. Zhang, B. Cheng, and D. Zhang, "Transmission modulation in the passband of polystyrene photonic crystals," Appl. Phys. Lett. 82, 373-375 (2003).
[CrossRef]

Zhang, Q.

H. Guo, H. Chen, P. Ni, Q. Zhang, B. Cheng, and D. Zhang, "Transmission modulation in the passband of polystyrene photonic crystals," Appl. Phys. Lett. 82, 373-375 (2003).
[CrossRef]

Zhu, L.

Ziff, R. M.

C. D. Lorenz and R. M. Ziff, "Precise determination of the bond percolation thresholds and finite-size scaling corrections for the sc, fcc, and fcc lattices," Phys. Rev. E 57, 230-236 (1998).
[CrossRef]

Adv. Mater. (1)

B. Gates, D. Qin, and Y. Xia, "Assembly of nanoparticles into opaline structures over large areas," Adv. Mater. 11, 466-469 (1999).
[CrossRef]

Appl. Phys. Lett. (3)

H. Guo, H. Chen, P. Ni, Q. Zhang, B. Cheng, and D. Zhang, "Transmission modulation in the passband of polystyrene photonic crystals," Appl. Phys. Lett. 82, 373-375 (2003).
[CrossRef]

V. N. Astratov, J. P. Franchak, and S. P. Ashili, "Optical coupling and transport phenomena in chains of spherical dielectric microresonators with size disorder," Appl. Phys. Lett. 85, 5508-5510 (2004).
[CrossRef]

A. V. Kanaev, V. N. Astratov, and W. Cai, "Optical coupling at a distance between detuned spherical cavities," Appl. Phys. Lett. 88, 111111 (2006).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (2)

A. B. Matsko and V. S. Ilchenko, "Optical resonators with whispering-gallery modes - part I: basics," IEEE J. Sel. Top. Quantum Electron. 12, 3-14 (2006).
[CrossRef]

V. S. Ilchenko and A. B. Matsko, "Optical resonators with whispering-gallery modes - part II: applications," IEEE J. Sel. Top. Quantum Electron. 12, 15-32 (2006).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, "Very high-order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett. 16, 2263-2265 (2004).
[CrossRef]

J. Lightwave Technol. (1)

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998-1005 (1997).
[CrossRef]

J. of Math. Phys. (N.Y.) (1)

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Figures (4)

Fig. 1.
Fig. 1.

(a) Sketch of the cell for the hydrodynamic flow-assisted self-assembly of microspheres, (b) SEM image of the top surface of the sample showing its polycrystalline structure, (c) experimental set up, (d) single dye-doped sphere transmission spectrum.

Fig. 2.
Fig. 2.

(a) Single 5µm sphere emission spectrum below the threshold for lasing WGMs and (b-f) emission spectra of a single monolayer of 5µm spheres collected as a function of average excitation intensity from 0.03 W/cm2 to 100 W/cm2. Inset illustrates geometry of excitation and collection of FL emission.

Fig. 3.
Fig. 3.

FL transmission spectra of a six layer thick sample (d=25.4 µm) collected as a function of excitation intensity (I av) from (a) 0.03 W/cm2 to (h) 100 W/cm2. (c-h) For I av>0.3 W/cm2 each maximum transforms into a double peak. Inset: pump dependence of the peak at 529.3 nm (red line), background emission (blue line) and a linear fit (black line).

Fig. 4.
Fig. 4.

(a) Geometry of excitation and collection of the FL transmission illustrated for the six monolayers thick sample. (b) Thickness dependence of the peak-to-background ratio at 529.3nm in the FL transmission spectra for two pumping intensities. (c) Thickness dependence of the intensity of the peak at 528nm (red lines) and of the FL background transmission (blue lines). Different curves correspond to excitation intensity from 0.3 W/cm2 to 30 W/cm2.

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