C.-S. Deng, H. Xu, and L. Deych, “Optical transport and statistics of radiative losses in disordered chains of microspheres,” Phys. Rev. A 82, 041803 (2010).

[CrossRef]

J. Goeckeritz and S. Blair, “Optical characterization of coupled resonator slow-light rib waveguides,” Opt. Express 18, 18190–18199 (2010).

[CrossRef]
[PubMed]

M. L. Cooper, G. Gupta, M. A. Schneider, W. M. J. Green, S. Assefa, F. Xia, Y. A. Vlasov, and S. Mookherjea, “Statistics of light transport in 235-ring silicon coupled-resonator optical waveguides,” Opt. Express 18, 26505–26516 (2010).

[CrossRef]
[PubMed]

A. Petrov, M. Krause, and M. Eich, “Backscattering and disorder limits in slow light photonic crystal waveguides,” Opt. Express 17, 8676–8684 (2009).

[CrossRef]
[PubMed]

A. B. Matsko, A. A. Savchenkov, W. Liang, V. S. Ilchenko, D. Seidel, and L. Maleki, “Collective emission and absorption in a linear resonator chain,” Opt. Express 17, 15210 (2009).

[CrossRef]
[PubMed]

C. Schmidt, A. Chipouline, T. Käsebier, E.-B. Kley, A. Tünnermann, T. Pertsch, V. Shuvayev, and L. I. Deych, “Observation of optical coupling in microdisk resonators,” Phys. Rev. A 80, 043841 (2009).

[CrossRef]

M. Gozman, I. Polishchuk, and A. Burin, “Light propagation in linear arrays of spherical particles,” Phys. Lett. A 372, 5250 – 5253 (2008).

[CrossRef]

D. P. Fussell, S. Hughes, and M. M. Dignam, “Influence of fabrication disorder on the optical properties of coupled-cavity photonic crystal waveguides,” Phys. Rev. B 78, 144201 (2008).

[CrossRef]

S. Yang and V. N. Astratov, “Photonic nanojet-induced modes in chains of size-disordered microspheres with an attenuation of only 0.08 db per sphere,” Appl. Phys. Lett. 92, 261111 (2008).

[CrossRef]

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]

K. Grujic and O. G. Hellesø, “Dielectric microsphere manipulation and chain assembly by counter-propagating waves in a channel waveguide,” Opt. Express 15, 6470–6477 (2007).

[CrossRef]
[PubMed]

G. S. Blaustein, M. I. Gozman, O. Samoylova, I. Y. Polishchuk, and A. L. Burin, “Guiding optical modes in chains of dielectric particles,” Opt. Express 15, 17380–17391 (2007).

[CrossRef]
[PubMed]

Z. Chen, A. Taflove, and V. Backman, “Highly efficient optical coupling and transport phenomena in chains of dielectric microspheres,” Opt. Lett. 31, 389–391 (2006).

[CrossRef]
[PubMed]

S. Mookherjea, “Spectral characteristics of coupled resonators,” J. Opt. Soc. Am. B 23, 1137–1145 (2006).

[CrossRef]

L. I. Deych and O. Roslyak, “Photonic band mixing in linear chains of optically coupled microspheres,” Phys. Rev. E 73, 036606 (2006).

[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]

A. B. Matsko and V. S. Ilchenko, “Optical Resonators With Whispering-Gallery Modes—Part I: Basics,” IEEE J. OF Sel. Topics in Q. El. 12, 3–14 (2006).

[CrossRef]

J. Heinrichs, “Transmission, reflection and localization in a random medium with absorption or gain,” J. Phys.: Condens. Matter 18, 4781 (2006).

[CrossRef]

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]

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]

D. V. Savin and H.-J. Sommers, “Distribution of reflection eigenvalues in many-channel chaotic cavities with absorption,” Phys. Rev. E 69, 035201 (2004).

[CrossRef]

H. Miyazaki and Y. Jimba, “Ab initio tight-binding description of morphology-dependent resonance in a bi-sphere,” Phys. Rev. B 62, 7976–7997 (2000).

[CrossRef]

S. K. Joshi, D. Sahoo, and A. M. Jayannavar, “Modeling of stochastic absorption in a random medium,” Phys. Rev. B 62, 880–885 (2000).

[CrossRef]

F. M. Izrailev, S. Ruffo, and L. Tessieri, “Classical representation of the one-dimensional Anderson model,” J. Phys. A: Math. Gen. 31, 5263 (1998).

[CrossRef]

V. Freilikher and M. Pustilnik, “Phase randomness in a one-dimensional disordered absorbing medium,” Phys. Rev. B 55, R653–R655 (1997).

[CrossRef]

J. C. J. Paasschens, T. S. Misirpashaev, and C. W. J. Beenakker, “Localization of light: Dual symmetry between absorption and amplification,” Phys. Rev. B 54, 11887–11890 (1996).

[CrossRef]

Z.-Q. Zhang, “Light amplification and localization in randomly layered media with gain,” Phys. Rev. B 52, 7960–7964 (1995).

[CrossRef]

P. Pradhan and N. Kumar, “Localization of light in coherently amplifying random media,” Phys. Rev. B 50, 9644–9647 (1994).

[CrossRef]

V. Freilikher, M. Pustilnik, and I. Yurkevich, “Effect of absorption on the wave transport in the strong localization regime,” Phys. Rev. Lett. 73, 810–813 (1994).

[CrossRef]
[PubMed]

B. Kramer and A. MacKinnon, “Localization: theory and experiment,” Rep. Prog. Phys. 56, 1469 (1993).

[CrossRef]

B. Derrida and E. Gardner, “Lyapounov exponent of the one dimensional Anderson model : weak disorder expansions,” J. Phys. France 45, 1283–1295 (1984).

[CrossRef]

G. Czycholl, B. Kramer, and A. MacKinnon, “Conductivity and localization of electron states in one dimensional disordered systems: Further numerical results,” Z. Phys. B 43, 5–11 (1981).

[CrossRef]

A. D. Stone, J. D. Joannopoulos, and D. J. Chadi, “Scaling studies of the resistance of the one-dimensional anderson model with general disorder,” Phys. Rev. B 24, 5583–5596 (1981).

[CrossRef]

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]

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]

M. L. Cooper, G. Gupta, M. A. Schneider, W. M. J. Green, S. Assefa, F. Xia, Y. A. Vlasov, and S. Mookherjea, “Statistics of light transport in 235-ring silicon coupled-resonator optical waveguides,” Opt. Express 18, 26505–26516 (2010).

[CrossRef]
[PubMed]

S. Yang and V. N. Astratov, “Photonic nanojet-induced modes in chains of size-disordered microspheres with an attenuation of only 0.08 db per sphere,” Appl. Phys. Lett. 92, 261111 (2008).

[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]

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, “Fundamentals and Applications of Microsphere Resonator Circuits,” in Photonic Microresonator Research and Applications , I. Chremmos, O. Schwelb, and N. Uzunoglu, eds., (Springer Series in Optical Sciences156, 2010), pp. 423–457.

[CrossRef]

J. C. J. Paasschens, T. S. Misirpashaev, and C. W. J. Beenakker, “Localization of light: Dual symmetry between absorption and amplification,” Phys. Rev. B 54, 11887–11890 (1996).

[CrossRef]

M. Gozman, I. Polishchuk, and A. Burin, “Light propagation in linear arrays of spherical particles,” Phys. Lett. A 372, 5250 – 5253 (2008).

[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]

A. D. Stone, J. D. Joannopoulos, and D. J. Chadi, “Scaling studies of the resistance of the one-dimensional anderson model with general disorder,” Phys. Rev. B 24, 5583–5596 (1981).

[CrossRef]

C. Schmidt, A. Chipouline, T. Käsebier, E.-B. Kley, A. Tünnermann, T. Pertsch, V. Shuvayev, and L. I. Deych, “Observation of optical coupling in microdisk resonators,” Phys. Rev. A 80, 043841 (2009).

[CrossRef]

M. L. Cooper, G. Gupta, M. A. Schneider, W. M. J. Green, S. Assefa, F. Xia, Y. A. Vlasov, and S. Mookherjea, “Statistics of light transport in 235-ring silicon coupled-resonator optical waveguides,” Opt. Express 18, 26505–26516 (2010).

[CrossRef]
[PubMed]

G. Czycholl, B. Kramer, and A. MacKinnon, “Conductivity and localization of electron states in one dimensional disordered systems: Further numerical results,” Z. Phys. B 43, 5–11 (1981).

[CrossRef]

C.-S. Deng, H. Xu, and L. Deych, “Optical transport and statistics of radiative losses in disordered chains of microspheres,” Phys. Rev. A 82, 041803 (2010).

[CrossRef]

B. Derrida and E. Gardner, “Lyapounov exponent of the one dimensional Anderson model : weak disorder expansions,” J. Phys. France 45, 1283–1295 (1984).

[CrossRef]

C.-S. Deng, H. Xu, and L. Deych, “Optical transport and statistics of radiative losses in disordered chains of microspheres,” Phys. Rev. A 82, 041803 (2010).

[CrossRef]

C. Schmidt, A. Chipouline, T. Käsebier, E.-B. Kley, A. Tünnermann, T. Pertsch, V. Shuvayev, and L. I. Deych, “Observation of optical coupling in microdisk resonators,” Phys. Rev. A 80, 043841 (2009).

[CrossRef]

L. I. Deych and O. Roslyak, “Photonic band mixing in linear chains of optically coupled microspheres,” Phys. Rev. E 73, 036606 (2006).

[CrossRef]

D. P. Fussell, S. Hughes, and M. M. Dignam, “Influence of fabrication disorder on the optical properties of coupled-cavity photonic crystal waveguides,” Phys. Rev. B 78, 144201 (2008).

[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]

V. Freilikher and M. Pustilnik, “Phase randomness in a one-dimensional disordered absorbing medium,” Phys. Rev. B 55, R653–R655 (1997).

[CrossRef]

V. Freilikher, M. Pustilnik, and I. Yurkevich, “Effect of absorption on the wave transport in the strong localization regime,” Phys. Rev. Lett. 73, 810–813 (1994).

[CrossRef]
[PubMed]

D. P. Fussell, S. Hughes, and M. M. Dignam, “Influence of fabrication disorder on the optical properties of coupled-cavity photonic crystal waveguides,” Phys. Rev. B 78, 144201 (2008).

[CrossRef]

B. Derrida and E. Gardner, “Lyapounov exponent of the one dimensional Anderson model : weak disorder expansions,” J. Phys. France 45, 1283–1295 (1984).

[CrossRef]

M. Gozman, I. Polishchuk, and A. Burin, “Light propagation in linear arrays of spherical particles,” Phys. Lett. A 372, 5250 – 5253 (2008).

[CrossRef]

M. L. Cooper, G. Gupta, M. A. Schneider, W. M. J. Green, S. Assefa, F. Xia, Y. A. Vlasov, and S. Mookherjea, “Statistics of light transport in 235-ring silicon coupled-resonator optical waveguides,” Opt. Express 18, 26505–26516 (2010).

[CrossRef]
[PubMed]

M. L. Cooper, G. Gupta, M. A. Schneider, W. M. J. Green, S. Assefa, F. Xia, Y. A. Vlasov, and S. Mookherjea, “Statistics of light transport in 235-ring silicon coupled-resonator optical waveguides,” Opt. Express 18, 26505–26516 (2010).

[CrossRef]
[PubMed]

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]

J. Heinrichs, “Transmission, reflection and localization in a random medium with absorption or gain,” J. Phys.: Condens. Matter 18, 4781 (2006).

[CrossRef]

D. P. Fussell, S. Hughes, and M. M. Dignam, “Influence of fabrication disorder on the optical properties of coupled-cavity photonic crystal waveguides,” Phys. Rev. B 78, 144201 (2008).

[CrossRef]

A. B. Matsko, A. A. Savchenkov, W. Liang, V. S. Ilchenko, D. Seidel, and L. Maleki, “Collective emission and absorption in a linear resonator chain,” Opt. Express 17, 15210 (2009).

[CrossRef]
[PubMed]

A. B. Matsko and V. S. Ilchenko, “Optical Resonators With Whispering-Gallery Modes—Part I: Basics,” IEEE J. OF Sel. Topics in Q. El. 12, 3–14 (2006).

[CrossRef]

F. M. Izrailev, S. Ruffo, and L. Tessieri, “Classical representation of the one-dimensional Anderson model,” J. Phys. A: Math. Gen. 31, 5263 (1998).

[CrossRef]

S. K. Joshi, D. Sahoo, and A. M. Jayannavar, “Modeling of stochastic absorption in a random medium,” Phys. Rev. B 62, 880–885 (2000).

[CrossRef]

X. Jiang and C. M. Soukoulis, “Transmission and reflection studies of periodic and random systems with gain,” Phys. Rev. B 59, 6159–6166 (1999).

[CrossRef]

H. Miyazaki and Y. Jimba, “Ab initio tight-binding description of morphology-dependent resonance in a bi-sphere,” Phys. Rev. B 62, 7976–7997 (2000).

[CrossRef]

A. D. Stone, J. D. Joannopoulos, and D. J. Chadi, “Scaling studies of the resistance of the one-dimensional anderson model with general disorder,” Phys. Rev. B 24, 5583–5596 (1981).

[CrossRef]

S. K. Joshi, D. Sahoo, and A. M. Jayannavar, “Modeling of stochastic absorption in a random medium,” Phys. Rev. B 62, 880–885 (2000).

[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]

C. Schmidt, A. Chipouline, T. Käsebier, E.-B. Kley, A. Tünnermann, T. Pertsch, V. Shuvayev, and L. I. Deych, “Observation of optical coupling in microdisk resonators,” Phys. Rev. A 80, 043841 (2009).

[CrossRef]

C. Schmidt, A. Chipouline, T. Käsebier, E.-B. Kley, A. Tünnermann, T. Pertsch, V. Shuvayev, and L. I. Deych, “Observation of optical coupling in microdisk resonators,” Phys. Rev. A 80, 043841 (2009).

[CrossRef]

B. Kramer and A. MacKinnon, “Localization: theory and experiment,” Rep. Prog. Phys. 56, 1469 (1993).

[CrossRef]

G. Czycholl, B. Kramer, and A. MacKinnon, “Conductivity and localization of electron states in one dimensional disordered systems: Further numerical results,” Z. Phys. B 43, 5–11 (1981).

[CrossRef]

P. Pradhan and N. Kumar, “Localization of light in coherently amplifying random media,” Phys. Rev. B 50, 9644–9647 (1994).

[CrossRef]

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]

M. Mishchenko, L. Travis, and A. Lacis, Scattering, absorption, and emission of light by small particles (Cambridge University Press, Cambridge, 2002).

B. Kramer and A. MacKinnon, “Localization: theory and experiment,” Rep. Prog. Phys. 56, 1469 (1993).

[CrossRef]

G. Czycholl, B. Kramer, and A. MacKinnon, “Conductivity and localization of electron states in one dimensional disordered systems: Further numerical results,” Z. Phys. B 43, 5–11 (1981).

[CrossRef]

A. B. Matsko, A. A. Savchenkov, W. Liang, V. S. Ilchenko, D. Seidel, and L. Maleki, “Collective emission and absorption in a linear resonator chain,” Opt. Express 17, 15210 (2009).

[CrossRef]
[PubMed]

A. B. Matsko and V. S. Ilchenko, “Optical Resonators With Whispering-Gallery Modes—Part I: Basics,” IEEE J. OF Sel. Topics in Q. El. 12, 3–14 (2006).

[CrossRef]

M. Mishchenko, L. Travis, and A. Lacis, Scattering, absorption, and emission of light by small particles (Cambridge University Press, Cambridge, 2002).

J. C. J. Paasschens, T. S. Misirpashaev, and C. W. J. Beenakker, “Localization of light: Dual symmetry between absorption and amplification,” Phys. Rev. B 54, 11887–11890 (1996).

[CrossRef]

H. Miyazaki and Y. Jimba, “Ab initio tight-binding description of morphology-dependent resonance in a bi-sphere,” Phys. Rev. B 62, 7976–7997 (2000).

[CrossRef]

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]

M. L. Cooper, G. Gupta, M. A. Schneider, W. M. J. Green, S. Assefa, F. Xia, Y. A. Vlasov, and S. Mookherjea, “Statistics of light transport in 235-ring silicon coupled-resonator optical waveguides,” Opt. Express 18, 26505–26516 (2010).

[CrossRef]
[PubMed]

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]

S. Mookherjea, “Spectral characteristics of coupled resonators,” J. Opt. Soc. Am. B 23, 1137–1145 (2006).

[CrossRef]

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]

J. C. J. Paasschens, T. S. Misirpashaev, and C. W. J. Beenakker, “Localization of light: Dual symmetry between absorption and amplification,” Phys. Rev. B 54, 11887–11890 (1996).

[CrossRef]

C. Schmidt, A. Chipouline, T. Käsebier, E.-B. Kley, A. Tünnermann, T. Pertsch, V. Shuvayev, and L. I. Deych, “Observation of optical coupling in microdisk resonators,” Phys. Rev. A 80, 043841 (2009).

[CrossRef]

M. Gozman, I. Polishchuk, and A. Burin, “Light propagation in linear arrays of spherical particles,” Phys. Lett. A 372, 5250 – 5253 (2008).

[CrossRef]

P. Pradhan and N. Kumar, “Localization of light in coherently amplifying random media,” Phys. Rev. B 50, 9644–9647 (1994).

[CrossRef]

V. Freilikher and M. Pustilnik, “Phase randomness in a one-dimensional disordered absorbing medium,” Phys. Rev. B 55, R653–R655 (1997).

[CrossRef]

V. Freilikher, M. Pustilnik, and I. Yurkevich, “Effect of absorption on the wave transport in the strong localization regime,” Phys. Rev. Lett. 73, 810–813 (1994).

[CrossRef]
[PubMed]

L. I. Deych and O. Roslyak, “Photonic band mixing in linear chains of optically coupled microspheres,” Phys. Rev. E 73, 036606 (2006).

[CrossRef]

F. M. Izrailev, S. Ruffo, and L. Tessieri, “Classical representation of the one-dimensional Anderson model,” J. Phys. A: Math. Gen. 31, 5263 (1998).

[CrossRef]

S. K. Joshi, D. Sahoo, and A. M. Jayannavar, “Modeling of stochastic absorption in a random medium,” Phys. Rev. B 62, 880–885 (2000).

[CrossRef]

D. V. Savin and H.-J. Sommers, “Distribution of reflection eigenvalues in many-channel chaotic cavities with absorption,” Phys. Rev. E 69, 035201 (2004).

[CrossRef]

C. Schmidt, A. Chipouline, T. Käsebier, E.-B. Kley, A. Tünnermann, T. Pertsch, V. Shuvayev, and L. I. Deych, “Observation of optical coupling in microdisk resonators,” Phys. Rev. A 80, 043841 (2009).

[CrossRef]

M. L. Cooper, G. Gupta, M. A. Schneider, W. M. J. Green, S. Assefa, F. Xia, Y. A. Vlasov, and S. Mookherjea, “Statistics of light transport in 235-ring silicon coupled-resonator optical waveguides,” Opt. Express 18, 26505–26516 (2010).

[CrossRef]
[PubMed]

C. Schmidt, A. Chipouline, T. Käsebier, E.-B. Kley, A. Tünnermann, T. Pertsch, V. Shuvayev, and L. I. Deych, “Observation of optical coupling in microdisk resonators,” Phys. Rev. A 80, 043841 (2009).

[CrossRef]

D. V. Savin and H.-J. Sommers, “Distribution of reflection eigenvalues in many-channel chaotic cavities with absorption,” Phys. Rev. E 69, 035201 (2004).

[CrossRef]

X. Jiang and C. M. Soukoulis, “Transmission and reflection studies of periodic and random systems with gain,” Phys. Rev. B 59, 6159–6166 (1999).

[CrossRef]

A. D. Stone, J. D. Joannopoulos, and D. J. Chadi, “Scaling studies of the resistance of the one-dimensional anderson model with general disorder,” Phys. Rev. B 24, 5583–5596 (1981).

[CrossRef]

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]

F. M. Izrailev, S. Ruffo, and L. Tessieri, “Classical representation of the one-dimensional Anderson model,” J. Phys. A: Math. Gen. 31, 5263 (1998).

[CrossRef]

M. Mishchenko, L. Travis, and A. Lacis, Scattering, absorption, and emission of light by small particles (Cambridge University Press, Cambridge, 2002).

C. Schmidt, A. Chipouline, T. Käsebier, E.-B. Kley, A. Tünnermann, T. Pertsch, V. Shuvayev, and L. I. Deych, “Observation of optical coupling in microdisk resonators,” Phys. Rev. A 80, 043841 (2009).

[CrossRef]

M. L. Cooper, G. Gupta, M. A. Schneider, W. M. J. Green, S. Assefa, F. Xia, Y. A. Vlasov, and S. Mookherjea, “Statistics of light transport in 235-ring silicon coupled-resonator optical waveguides,” Opt. Express 18, 26505–26516 (2010).

[CrossRef]
[PubMed]

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]

M. L. Cooper, G. Gupta, M. A. Schneider, W. M. J. Green, S. Assefa, F. Xia, Y. A. Vlasov, and S. Mookherjea, “Statistics of light transport in 235-ring silicon coupled-resonator optical waveguides,” Opt. Express 18, 26505–26516 (2010).

[CrossRef]
[PubMed]

C.-S. Deng, H. Xu, and L. Deych, “Optical transport and statistics of radiative losses in disordered chains of microspheres,” Phys. Rev. A 82, 041803 (2010).

[CrossRef]

S. Yang and V. N. Astratov, “Photonic nanojet-induced modes in chains of size-disordered microspheres with an attenuation of only 0.08 db per sphere,” Appl. Phys. Lett. 92, 261111 (2008).

[CrossRef]

V. Freilikher, M. Pustilnik, and I. Yurkevich, “Effect of absorption on the wave transport in the strong localization regime,” Phys. Rev. Lett. 73, 810–813 (1994).

[CrossRef]
[PubMed]

Z.-Q. Zhang, “Light amplification and localization in randomly layered media with gain,” Phys. Rev. B 52, 7960–7964 (1995).

[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]

S. Yang and V. N. Astratov, “Photonic nanojet-induced modes in chains of size-disordered microspheres with an attenuation of only 0.08 db per sphere,” Appl. Phys. Lett. 92, 261111 (2008).

[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]

A. B. Matsko and V. S. Ilchenko, “Optical Resonators With Whispering-Gallery Modes—Part I: Basics,” IEEE J. OF Sel. Topics in Q. El. 12, 3–14 (2006).

[CrossRef]

F. M. Izrailev, S. Ruffo, and L. Tessieri, “Classical representation of the one-dimensional Anderson model,” J. Phys. A: Math. Gen. 31, 5263 (1998).

[CrossRef]

B. Derrida and E. Gardner, “Lyapounov exponent of the one dimensional Anderson model : weak disorder expansions,” J. Phys. France 45, 1283–1295 (1984).

[CrossRef]

J. Heinrichs, “Transmission, reflection and localization in a random medium with absorption or gain,” J. Phys.: Condens. Matter 18, 4781 (2006).

[CrossRef]

A. B. Matsko, A. A. Savchenkov, W. Liang, V. S. Ilchenko, D. Seidel, and L. Maleki, “Collective emission and absorption in a linear resonator chain,” Opt. Express 17, 15210 (2009).

[CrossRef]
[PubMed]

M. L. Cooper, G. Gupta, M. A. Schneider, W. M. J. Green, S. Assefa, F. Xia, Y. A. Vlasov, and S. Mookherjea, “Statistics of light transport in 235-ring silicon coupled-resonator optical waveguides,” Opt. Express 18, 26505–26516 (2010).

[CrossRef]
[PubMed]

K. Grujic and O. G. Hellesø, “Dielectric microsphere manipulation and chain assembly by counter-propagating waves in a channel waveguide,” Opt. Express 15, 6470–6477 (2007).

[CrossRef]
[PubMed]

J. Goeckeritz and S. Blair, “Optical characterization of coupled resonator slow-light rib waveguides,” Opt. Express 18, 18190–18199 (2010).

[CrossRef]
[PubMed]

G. S. Blaustein, M. I. Gozman, O. Samoylova, I. Y. Polishchuk, and A. L. Burin, “Guiding optical modes in chains of dielectric particles,” Opt. Express 15, 17380–17391 (2007).

[CrossRef]
[PubMed]

A. Petrov, M. Krause, and M. Eich, “Backscattering and disorder limits in slow light photonic crystal waveguides,” Opt. Express 17, 8676–8684 (2009).

[CrossRef]
[PubMed]

Z. Chen, A. Taflove, and V. Backman, “Highly efficient optical coupling and transport phenomena in chains of dielectric microspheres,” Opt. Lett. 31, 389–391 (2006).

[CrossRef]
[PubMed]

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]

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]

M. Gozman, I. Polishchuk, and A. Burin, “Light propagation in linear arrays of spherical particles,” Phys. Lett. A 372, 5250 – 5253 (2008).

[CrossRef]

C.-S. Deng, H. Xu, and L. Deych, “Optical transport and statistics of radiative losses in disordered chains of microspheres,” Phys. Rev. A 82, 041803 (2010).

[CrossRef]

C. Schmidt, A. Chipouline, T. Käsebier, E.-B. Kley, A. Tünnermann, T. Pertsch, V. Shuvayev, and L. I. Deych, “Observation of optical coupling in microdisk resonators,” Phys. Rev. A 80, 043841 (2009).

[CrossRef]

P. Pradhan and N. Kumar, “Localization of light in coherently amplifying random media,” Phys. Rev. B 50, 9644–9647 (1994).

[CrossRef]

J. C. J. Paasschens, T. S. Misirpashaev, and C. W. J. Beenakker, “Localization of light: Dual symmetry between absorption and amplification,” Phys. Rev. B 54, 11887–11890 (1996).

[CrossRef]

V. Freilikher and M. Pustilnik, “Phase randomness in a one-dimensional disordered absorbing medium,” Phys. Rev. B 55, R653–R655 (1997).

[CrossRef]

S. K. Joshi, D. Sahoo, and A. M. Jayannavar, “Modeling of stochastic absorption in a random medium,” Phys. Rev. B 62, 880–885 (2000).

[CrossRef]

A. D. Stone, J. D. Joannopoulos, and D. J. Chadi, “Scaling studies of the resistance of the one-dimensional anderson model with general disorder,” Phys. Rev. B 24, 5583–5596 (1981).

[CrossRef]

Z.-Q. Zhang, “Light amplification and localization in randomly layered media with gain,” Phys. Rev. B 52, 7960–7964 (1995).

[CrossRef]

X. Jiang and C. M. Soukoulis, “Transmission and reflection studies of periodic and random systems with gain,” Phys. Rev. B 59, 6159–6166 (1999).

[CrossRef]

H. Miyazaki and Y. Jimba, “Ab initio tight-binding description of morphology-dependent resonance in a bi-sphere,” Phys. Rev. B 62, 7976–7997 (2000).

[CrossRef]

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]

D. P. Fussell, S. Hughes, and M. M. Dignam, “Influence of fabrication disorder on the optical properties of coupled-cavity photonic crystal waveguides,” Phys. Rev. B 78, 144201 (2008).

[CrossRef]

L. I. Deych and O. Roslyak, “Photonic band mixing in linear chains of optically coupled microspheres,” Phys. Rev. E 73, 036606 (2006).

[CrossRef]

D. V. Savin and H.-J. Sommers, “Distribution of reflection eigenvalues in many-channel chaotic cavities with absorption,” Phys. Rev. E 69, 035201 (2004).

[CrossRef]

V. Freilikher, M. Pustilnik, and I. Yurkevich, “Effect of absorption on the wave transport in the strong localization regime,” Phys. Rev. Lett. 73, 810–813 (1994).

[CrossRef]
[PubMed]

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. Kramer and A. MacKinnon, “Localization: theory and experiment,” Rep. Prog. Phys. 56, 1469 (1993).

[CrossRef]

G. Czycholl, B. Kramer, and A. MacKinnon, “Conductivity and localization of electron states in one dimensional disordered systems: Further numerical results,” Z. Phys. B 43, 5–11 (1981).

[CrossRef]

M. Mishchenko, L. Travis, and A. Lacis, Scattering, absorption, and emission of light by small particles (Cambridge University Press, Cambridge, 2002).

V. N. Astratov, “Fundamentals and Applications of Microsphere Resonator Circuits,” in Photonic Microresonator Research and Applications , I. Chremmos, O. Schwelb, and N. Uzunoglu, eds., (Springer Series in Optical Sciences156, 2010), pp. 423–457.

[CrossRef]