Abstract

We have investigated low frequency guiding polariton modes in finite linear chains of closely packed dielectric spherical particles of different optical materials. These guiding (chain bound) modes cannot decay radiatively, because photon emission cannot take place with simultaneous conservation of energy and momentum. For extending previous work on infinite chains of spherical particles [1] and infinite rods [2, 3], we were able to apply the multisphere Mie scattering formalism to finite chains of dielectric particles to calculate quality factors of most bound modes originating from the first two Mie resonances depending on the number of particles N and the material’s refractive index nr. We found that, in agreement with the earlier work [4], guiding modes exist for nr > 2 and the quality factor of the most bound mode scales by N3. We interpreted this behavior as the property of “frozen” modes near the edges of guiding bands with group velocity vanishing as N increases. In contrast with circular arrays, longitudinal guiding modes in particle chains possess a higher quality factor compared to the transverse ones.

© 2007 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. A. Shore and A. D. Yaghjian, "Traveling electromagnetic waves on linear periodic arrays of lossless spheres," Electron. Lett. 41,578-580 (2005).
    [CrossRef]
  2. S. Fan, J. N. Winn, A. Devenyi, J. C. Chen, R. D. Meade and J. D. Joannopoulos, "Guided and defect modes in periodic dielectric waveguides," J. Opt. Soc. Am. B 12,1267-72 (1995).
  3. R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48,8434 (1993).
    [CrossRef]
  4. A. L. Burin, "Bound whispering gallery modes in circular arrays of dielectric spherical particles," Phys. Rev. E 73,066614 (2006).
    [CrossRef]
  5. Z. Y. Tang and N. A. Kotov, "One-dimensional assemblies of nanoparticles: Preparation, properties, and promise," Adv. Mater. 17,951-962 (2005).
    [CrossRef]
  6. S. A. Mayer, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, A. A. G. Requicha, "Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides," Nat. Mater. 2,229-232 (2003).
  7. S. A. Mayer, M. L. Brongersma, P. G. Kik, S. Meltzer, A. A. G. Requicha, B. E. Koel, and H. A. Atwater, "Plasmonics A route to nanoscale optical devices," Adv. Mater. 15,562-562 (2003).
  8. C. Kittel, Introduction to Solid State Physics, (Wiley, New York, 1996).
  9. H. W. Ehrespeck and H. Poehler, "A new method for obtaining maximum gain from Yagi antennas," IEEE Trans. Antennas Propag. AP- 7,379-386 (1959).
  10. R. W. P. King, G. J. Fikioris, and R. B. Mask, Cylindrical Antennas and Arrays, (Cambridge University Press, Cambridge, 2005).
  11. A. L. Burin, G. C. Schatz, H. Cao, and M. A. Ratner, "High quality optical modes in low-dimensional arrays of nanoparticles. Application to random lasers," J. Opt. Soc. Am. B 21,121-131 (2004).
    [CrossRef]
  12. Y. Hara, "Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres," Phys. Rev. Lett. 94, Art. No. 203905 (2005).
  13. 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]
  14. A. V. Kanaev, V. N. Astratov, and W. Cai, "Optical coupling at a distance between detuned spherical cavities," Appl. Phys. Lett. 88, Art. No. 111111 (2006).
  15. 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 (2004).
    [CrossRef]
  16. L. I. Deych and O. Roslyak, "Photonic band mixing in linear chains of optically coupled microspheres," Phys. Rev. B 73, art no 036606 (2006)
  17. Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438,65-69 (2005).
    [CrossRef]
  18. P. C. Ku, F. Sedgwick, C. J. Chang-Hasnain, P. Palinginis, T. Li, H. Wang, S.-W. Chang, and S.-L. Chuang, "Slow light in semiconductor quantum wells," Opt. Lett. 29,22912293 (2004).
  19. M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, "Superluminal and slow light propagation in a room-temperature solid," Science 301,200202 (2003).
  20. J. T. Mok and B. J. Eggleton, "Expect more delays," Nature 433,811812 (2005).
  21. J. T. Shen, M. L. Povinelli, S. Sandhu, and S. H. Fan, "Stopping single photons in one-dimensional circuit quantum electrodynamics systems," Phys. Rev. B 75, Art. No. 035320, (2007).
  22. A. Figotin and I. Vitebskiy, "Frozen light in photonic crystals with degenerate band edge," Phys. Rev. E 74, Art. No. 066613 (2006).
  23. Y. L. Xu, "Electromagnetic scattering by an aggregate of spheres: far field," Appl. Opt. 36,9496-9508 (1997).
  24. Y. L. Xu, "Scattering Mueller matrix of an ensemble of variously shaped small particles," J. Opt. Soc. Am. A 20,2093-2105 (2003).
    [CrossRef]
  25. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-DifferenceTtime-Domain Method, 3rd ed. (Artech House Publishers, 2005).
  26. E. D. Palik, Handbook of Optical Constants in Solids, (Acad. Press Handbook Series, Academic Press INC. 1985).
  27. E. I. Smotrova and A. I. Nosich, "Mathematical study of the two-dimensional lasing problem for the whisperinggallery modes in a circular dielectric microcavity," Opt. Quantum Electron. 36,213-221 (2004).
    [CrossRef]
  28. S. V. Boriskina, "Theoretical prediction of a dramatic Q-factor enhancement and degeneracy removal of WG modes in symmetrical photonic molecules," Opt. Lett. 31,338-340 (2006).
    [CrossRef]
  29. J. M. Bendickson, J. P. Dowling, and M. Scalora, "Analytic expressions for the electromagnetic mode density in finite one-dimensional, photonic band-gap structures," Phys. Rev. B 53,4107-4121 (1996).
  30. J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, "The photonic band-edge laser a new approach to gain enhancement," J. Appl. Phys. 75,1896-1899 (1994).
    [CrossRef]
  31. L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory, (Pergamon Press, Oxford, New York, 1977).

2007 (1)

2006 (2)

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

A. L. Burin, "Bound whispering gallery modes in circular arrays of dielectric spherical particles," Phys. Rev. E 73,066614 (2006).
[CrossRef]

2005 (4)

Z. Y. Tang and N. A. Kotov, "One-dimensional assemblies of nanoparticles: Preparation, properties, and promise," Adv. Mater. 17,951-962 (2005).
[CrossRef]

Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438,65-69 (2005).
[CrossRef]

J. T. Mok and B. J. Eggleton, "Expect more delays," Nature 433,811812 (2005).

R. A. Shore and A. D. Yaghjian, "Traveling electromagnetic waves on linear periodic arrays of lossless spheres," Electron. Lett. 41,578-580 (2005).
[CrossRef]

2004 (4)

E. I. Smotrova and A. I. Nosich, "Mathematical study of the two-dimensional lasing problem for the whisperinggallery modes in a circular dielectric microcavity," Opt. Quantum Electron. 36,213-221 (2004).
[CrossRef]

A. L. Burin, G. C. Schatz, H. Cao, and M. A. Ratner, "High quality optical modes in low-dimensional arrays of nanoparticles. Application to random lasers," J. Opt. Soc. Am. B 21,121-131 (2004).
[CrossRef]

P. C. Ku, F. Sedgwick, C. J. Chang-Hasnain, P. Palinginis, T. Li, H. Wang, S.-W. Chang, and S.-L. Chuang, "Slow light in semiconductor quantum wells," Opt. Lett. 29,22912293 (2004).

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 (2004).
[CrossRef]

2003 (4)

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, "Superluminal and slow light propagation in a room-temperature solid," Science 301,200202 (2003).

S. A. Mayer, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, A. A. G. Requicha, "Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides," Nat. Mater. 2,229-232 (2003).

S. A. Mayer, M. L. Brongersma, P. G. Kik, S. Meltzer, A. A. G. Requicha, B. E. Koel, and H. A. Atwater, "Plasmonics A route to nanoscale optical devices," Adv. Mater. 15,562-562 (2003).

Y. L. Xu, "Scattering Mueller matrix of an ensemble of variously shaped small particles," J. Opt. Soc. Am. A 20,2093-2105 (2003).
[CrossRef]

1997 (1)

1996 (1)

J. M. Bendickson, J. P. Dowling, and M. Scalora, "Analytic expressions for the electromagnetic mode density in finite one-dimensional, photonic band-gap structures," Phys. Rev. B 53,4107-4121 (1996).

1995 (1)

1994 (1)

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, "The photonic band-edge laser a new approach to gain enhancement," J. Appl. Phys. 75,1896-1899 (1994).
[CrossRef]

1993 (1)

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48,8434 (1993).
[CrossRef]

1959 (1)

H. W. Ehrespeck and H. Poehler, "A new method for obtaining maximum gain from Yagi antennas," IEEE Trans. Antennas Propag. AP- 7,379-386 (1959).

Alerhand, O. L.

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48,8434 (1993).
[CrossRef]

Ashili, S. 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 (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]

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 (2004).
[CrossRef]

Atwater, H. A.

S. A. Mayer, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, A. A. G. Requicha, "Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides," Nat. Mater. 2,229-232 (2003).

S. A. Mayer, M. L. Brongersma, P. G. Kik, S. Meltzer, A. A. G. Requicha, B. E. Koel, and H. A. Atwater, "Plasmonics A route to nanoscale optical devices," Adv. Mater. 15,562-562 (2003).

Bendickson, J. M.

J. M. Bendickson, J. P. Dowling, and M. Scalora, "Analytic expressions for the electromagnetic mode density in finite one-dimensional, photonic band-gap structures," Phys. Rev. B 53,4107-4121 (1996).

Bigelow, M. S.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, "Superluminal and slow light propagation in a room-temperature solid," Science 301,200202 (2003).

Bloemer, M. J.

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, "The photonic band-edge laser a new approach to gain enhancement," J. Appl. Phys. 75,1896-1899 (1994).
[CrossRef]

Boriskina, S. V.

Bowden, C. M.

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, "The photonic band-edge laser a new approach to gain enhancement," J. Appl. Phys. 75,1896-1899 (1994).
[CrossRef]

Boyd, R. W.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, "Superluminal and slow light propagation in a room-temperature solid," Science 301,200202 (2003).

Brommer, K. D.

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48,8434 (1993).
[CrossRef]

Brongersma, M. L.

S. A. Mayer, M. L. Brongersma, P. G. Kik, S. Meltzer, A. A. G. Requicha, B. E. Koel, and H. A. Atwater, "Plasmonics A route to nanoscale optical devices," Adv. Mater. 15,562-562 (2003).

Burin, A. L.

Cao, H.

Chang, S.-W.

P. C. Ku, F. Sedgwick, C. J. Chang-Hasnain, P. Palinginis, T. Li, H. Wang, S.-W. Chang, and S.-L. Chuang, "Slow light in semiconductor quantum wells," Opt. Lett. 29,22912293 (2004).

Chang-Hasnain, C. J.

P. C. Ku, F. Sedgwick, C. J. Chang-Hasnain, P. Palinginis, T. Li, H. Wang, S.-W. Chang, and S.-L. Chuang, "Slow light in semiconductor quantum wells," Opt. Lett. 29,22912293 (2004).

Chen, J. C.

Chuang, S.-L.

P. C. Ku, F. Sedgwick, C. J. Chang-Hasnain, P. Palinginis, T. Li, H. Wang, S.-W. Chang, and S.-L. Chuang, "Slow light in semiconductor quantum wells," Opt. Lett. 29,22912293 (2004).

Devenyi, A.

Dowling, J. P.

J. M. Bendickson, J. P. Dowling, and M. Scalora, "Analytic expressions for the electromagnetic mode density in finite one-dimensional, photonic band-gap structures," Phys. Rev. B 53,4107-4121 (1996).

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, "The photonic band-edge laser a new approach to gain enhancement," J. Appl. Phys. 75,1896-1899 (1994).
[CrossRef]

Eggleton, B. J.

J. T. Mok and B. J. Eggleton, "Expect more delays," Nature 433,811812 (2005).

Ehrespeck, H. W.

H. W. Ehrespeck and H. Poehler, "A new method for obtaining maximum gain from Yagi antennas," IEEE Trans. Antennas Propag. AP- 7,379-386 (1959).

Fan, S.

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 (2004).
[CrossRef]

Hamann, H. F.

Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438,65-69 (2005).
[CrossRef]

Harel, E.

S. A. Mayer, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, A. A. G. Requicha, "Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides," Nat. Mater. 2,229-232 (2003).

Joannopoulos, J. D.

S. Fan, J. N. Winn, A. Devenyi, J. C. Chen, R. D. Meade and J. D. Joannopoulos, "Guided and defect modes in periodic dielectric waveguides," J. Opt. Soc. Am. B 12,1267-72 (1995).

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48,8434 (1993).
[CrossRef]

Kapitonov, A.M.

Kik, P. G.

S. A. Mayer, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, A. A. G. Requicha, "Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides," Nat. Mater. 2,229-232 (2003).

S. A. Mayer, M. L. Brongersma, P. G. Kik, S. Meltzer, A. A. G. Requicha, B. E. Koel, and H. A. Atwater, "Plasmonics A route to nanoscale optical devices," Adv. Mater. 15,562-562 (2003).

Koel, B. E.

S. A. Mayer, M. L. Brongersma, P. G. Kik, S. Meltzer, A. A. G. Requicha, B. E. Koel, and H. A. Atwater, "Plasmonics A route to nanoscale optical devices," Adv. Mater. 15,562-562 (2003).

S. A. Mayer, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, A. A. G. Requicha, "Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides," Nat. Mater. 2,229-232 (2003).

Kotov, N. A.

Z. Y. Tang and N. A. Kotov, "One-dimensional assemblies of nanoparticles: Preparation, properties, and promise," Adv. Mater. 17,951-962 (2005).
[CrossRef]

Ku, P. C.

P. C. Ku, F. Sedgwick, C. J. Chang-Hasnain, P. Palinginis, T. Li, H. Wang, S.-W. Chang, and S.-L. Chuang, "Slow light in semiconductor quantum wells," Opt. Lett. 29,22912293 (2004).

Lepeshkin, N. N.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, "Superluminal and slow light propagation in a room-temperature solid," Science 301,200202 (2003).

Li, T.

P. C. Ku, F. Sedgwick, C. J. Chang-Hasnain, P. Palinginis, T. Li, H. Wang, S.-W. Chang, and S.-L. Chuang, "Slow light in semiconductor quantum wells," Opt. Lett. 29,22912293 (2004).

Mayer, S. A.

S. A. Mayer, M. L. Brongersma, P. G. Kik, S. Meltzer, A. A. G. Requicha, B. E. Koel, and H. A. Atwater, "Plasmonics A route to nanoscale optical devices," Adv. Mater. 15,562-562 (2003).

S. A. Mayer, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, A. A. G. Requicha, "Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides," Nat. Mater. 2,229-232 (2003).

McNab, S. J.

Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438,65-69 (2005).
[CrossRef]

Meade, R. D.

S. Fan, J. N. Winn, A. Devenyi, J. C. Chen, R. D. Meade and J. D. Joannopoulos, "Guided and defect modes in periodic dielectric waveguides," J. Opt. Soc. Am. B 12,1267-72 (1995).

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48,8434 (1993).
[CrossRef]

Meltzer, S.

S. A. Mayer, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, A. A. G. Requicha, "Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides," Nat. Mater. 2,229-232 (2003).

S. A. Mayer, M. L. Brongersma, P. G. Kik, S. Meltzer, A. A. G. Requicha, B. E. Koel, and H. A. Atwater, "Plasmonics A route to nanoscale optical devices," Adv. Mater. 15,562-562 (2003).

Mok, J. T.

J. T. Mok and B. J. Eggleton, "Expect more delays," Nature 433,811812 (2005).

Nosich, A. I.

E. I. Smotrova and A. I. Nosich, "Mathematical study of the two-dimensional lasing problem for the whisperinggallery modes in a circular dielectric microcavity," Opt. Quantum Electron. 36,213-221 (2004).
[CrossRef]

O’Boyle, M.

Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438,65-69 (2005).
[CrossRef]

Palinginis, P.

P. C. Ku, F. Sedgwick, C. J. Chang-Hasnain, P. Palinginis, T. Li, H. Wang, S.-W. Chang, and S.-L. Chuang, "Slow light in semiconductor quantum wells," Opt. Lett. 29,22912293 (2004).

Poehler, H.

H. W. Ehrespeck and H. Poehler, "A new method for obtaining maximum gain from Yagi antennas," IEEE Trans. Antennas Propag. AP- 7,379-386 (1959).

Rappe, A. M.

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48,8434 (1993).
[CrossRef]

Ratner, M. A.

Requicha, A. A. G.

S. A. Mayer, M. L. Brongersma, P. G. Kik, S. Meltzer, A. A. G. Requicha, B. E. Koel, and H. A. Atwater, "Plasmonics A route to nanoscale optical devices," Adv. Mater. 15,562-562 (2003).

S. A. Mayer, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, A. A. G. Requicha, "Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides," Nat. Mater. 2,229-232 (2003).

Scalora, M.

J. M. Bendickson, J. P. Dowling, and M. Scalora, "Analytic expressions for the electromagnetic mode density in finite one-dimensional, photonic band-gap structures," Phys. Rev. B 53,4107-4121 (1996).

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, "The photonic band-edge laser a new approach to gain enhancement," J. Appl. Phys. 75,1896-1899 (1994).
[CrossRef]

Schatz, G. C.

Sedgwick, F.

P. C. Ku, F. Sedgwick, C. J. Chang-Hasnain, P. Palinginis, T. Li, H. Wang, S.-W. Chang, and S.-L. Chuang, "Slow light in semiconductor quantum wells," Opt. Lett. 29,22912293 (2004).

Shore, R. A.

R. A. Shore and A. D. Yaghjian, "Traveling electromagnetic waves on linear periodic arrays of lossless spheres," Electron. Lett. 41,578-580 (2005).
[CrossRef]

Smotrova, E. I.

E. I. Smotrova and A. I. Nosich, "Mathematical study of the two-dimensional lasing problem for the whisperinggallery modes in a circular dielectric microcavity," Opt. Quantum Electron. 36,213-221 (2004).
[CrossRef]

Tang, Z. Y.

Z. Y. Tang and N. A. Kotov, "One-dimensional assemblies of nanoparticles: Preparation, properties, and promise," Adv. Mater. 17,951-962 (2005).
[CrossRef]

Vlasov, Y. A.

Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438,65-69 (2005).
[CrossRef]

Wang, H.

P. C. Ku, F. Sedgwick, C. J. Chang-Hasnain, P. Palinginis, T. Li, H. Wang, S.-W. Chang, and S.-L. Chuang, "Slow light in semiconductor quantum wells," Opt. Lett. 29,22912293 (2004).

Winn, J. N.

Xu, Y. L.

Yaghjian, A. D.

R. A. Shore and A. D. Yaghjian, "Traveling electromagnetic waves on linear periodic arrays of lossless spheres," Electron. Lett. 41,578-580 (2005).
[CrossRef]

Adv. Mater. (2)

Z. Y. Tang and N. A. Kotov, "One-dimensional assemblies of nanoparticles: Preparation, properties, and promise," Adv. Mater. 17,951-962 (2005).
[CrossRef]

S. A. Mayer, M. L. Brongersma, P. G. Kik, S. Meltzer, A. A. G. Requicha, B. E. Koel, and H. A. Atwater, "Plasmonics A route to nanoscale optical devices," Adv. Mater. 15,562-562 (2003).

Appl. Opt. (1)

Appl. Phys. Lett. (1)

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 (2004).
[CrossRef]

Electron. Lett. (1)

R. A. Shore and A. D. Yaghjian, "Traveling electromagnetic waves on linear periodic arrays of lossless spheres," Electron. Lett. 41,578-580 (2005).
[CrossRef]

IEEE Trans. Antennas Propag. AP (1)

H. W. Ehrespeck and H. Poehler, "A new method for obtaining maximum gain from Yagi antennas," IEEE Trans. Antennas Propag. AP- 7,379-386 (1959).

J. Appl. Phys. (1)

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, "The photonic band-edge laser a new approach to gain enhancement," J. Appl. Phys. 75,1896-1899 (1994).
[CrossRef]

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

J. Opt. Soc. Am. B (2)

Nat. Mater. (1)

S. A. Mayer, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, A. A. G. Requicha, "Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides," Nat. Mater. 2,229-232 (2003).

Nature (2)

Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438,65-69 (2005).
[CrossRef]

J. T. Mok and B. J. Eggleton, "Expect more delays," Nature 433,811812 (2005).

Opt. Lett. (3)

Opt. Quantum Electron. (1)

E. I. Smotrova and A. I. Nosich, "Mathematical study of the two-dimensional lasing problem for the whisperinggallery modes in a circular dielectric microcavity," Opt. Quantum Electron. 36,213-221 (2004).
[CrossRef]

Phys. Rev. B (2)

J. M. Bendickson, J. P. Dowling, and M. Scalora, "Analytic expressions for the electromagnetic mode density in finite one-dimensional, photonic band-gap structures," Phys. Rev. B 53,4107-4121 (1996).

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48,8434 (1993).
[CrossRef]

Phys. Rev. E (1)

A. L. Burin, "Bound whispering gallery modes in circular arrays of dielectric spherical particles," Phys. Rev. E 73,066614 (2006).
[CrossRef]

Science (1)

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, "Superluminal and slow light propagation in a room-temperature solid," Science 301,200202 (2003).

Other (10)

L. I. Deych and O. Roslyak, "Photonic band mixing in linear chains of optically coupled microspheres," Phys. Rev. B 73, art no 036606 (2006)

Y. Hara, "Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres," Phys. Rev. Lett. 94, Art. No. 203905 (2005).

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-DifferenceTtime-Domain Method, 3rd ed. (Artech House Publishers, 2005).

E. D. Palik, Handbook of Optical Constants in Solids, (Acad. Press Handbook Series, Academic Press INC. 1985).

R. W. P. King, G. J. Fikioris, and R. B. Mask, Cylindrical Antennas and Arrays, (Cambridge University Press, Cambridge, 2005).

A. V. Kanaev, V. N. Astratov, and W. Cai, "Optical coupling at a distance between detuned spherical cavities," Appl. Phys. Lett. 88, Art. No. 111111 (2006).

C. Kittel, Introduction to Solid State Physics, (Wiley, New York, 1996).

J. T. Shen, M. L. Povinelli, S. Sandhu, and S. H. Fan, "Stopping single photons in one-dimensional circuit quantum electrodynamics systems," Phys. Rev. B 75, Art. No. 035320, (2007).

A. Figotin and I. Vitebskiy, "Frozen light in photonic crystals with degenerate band edge," Phys. Rev. E 74, Art. No. 066613 (2006).

L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory, (Pergamon Press, Oxford, New York, 1977).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics