Optics InfoBase > Optics Express > Volume 19 > Issue 9 > Page 8208
|
|
Short-range order and near-field effects on optical scattering and structural colorationS. F. Liew, J. Forster, H. Noh, C. F. Schreck, V. Saranathan, X. Lu, L. Yang, Richard O. Prum, C. S. O’Hern, E. R. Dufresne, and H. Cao »View Author Affiliations
S. F. Liew,1,*
J. Forster,2
H. Noh,1
C. F. Schreck,3
V. Saranathan,4
X. Lu,5
L. Yang,6
Richard O. Prum,4
C. S. O’Hern,2,3
E. R. Dufresne,2,3,7,8
and H. Cao1,3
1Department of Applied Physics, Yale University, New Haven, Connecticut 06511, USA 2Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06511, USA 3Department of Physics, Yale University, New Haven, Connecticut 06511, USA 4Department of Ecology and Evolutionary Biology, Peabody Museum of Natural History, Yale University, New Haven, Connecticut 06511, USA 5Department of Condensed Matter Physics and Materials Science, Brookhaven National Laboratory, Upton, New York 11973, USA 6National Synchrotron Light Source, Brookhaven National Laboratory, Upton, New York 11973, USA 7Department of Chemical Engineering, Yale University, New Haven, Connecticut 06511, USA 8Department of Cell Biology, Yale University, New Haven, Connecticut 06511, USA *Corresponding author: sengfatt.liew@yale.edu |
Optics Express, Vol. 19, Issue 9, pp. 8208-8217 (2011)
http://dx.doi.org/10.1364/OE.19.008208
View Full Text Article
Enhanced HTML
Acrobat PDF (4406 KB)
Abstract
We have investigated wavelength-dependent light scattering in biomimetic structures with short-range order. Coherent backscattering experiments are performed to measure the transport mean free path over a wide wavelength range. Overall scattering strength is reduced significantly due to short-range order and near-field effects. Our analysis explains why single scattering of light is dominant over multiple scattering in similar biological structures and is responsible for color generation.
© 2011 OSA
OCIS Codes
(290.1350) Scattering : Backscattering
(160.4236) Materials : Nanomaterials
(350.4238) Other areas of optics : Nanophotonics and photonic crystals
ToC Category:
Scattering
History
Original Manuscript: February 7, 2011
Manuscript Accepted: March 28, 2011
Published: April 14, 2011
Virtual Issues
Vol. 6, Iss. 5 Virtual Journal for Biomedical Optics
Citation
S. F. Liew, J. Forster, H. Noh, C. F. Schreck, V. Saranathan, X. Lu, L. Yang, Richard O. Prum, C. S. O’Hern, E. R. Dufresne, and H. Cao, "Short-range order and near-field effects on optical scattering and structural coloration," Opt. Express 19, 8208-8217 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-9-8208
Sort: Author | Year | Journal | Reset
References
- P. Vukusic and J. R. Sambles, “Photonic structures in biology,” Nature 424, 852–855 (2003). [CrossRef] [PubMed]
- S. Kinoshita, S. Yoshioka, and J. Miyazaki, “Physics of structural colors,” Rep. Prog. Phys. 71, 076401 (2008). [CrossRef]
- R. O. Prum, R. H. Torres, S. Williamson, and J. Dyck, “Coherent light scattering by blue bird feather barbs,” Nature 396, 28–29 (1998). [CrossRef]
- E. R. Dufresne, H. Noh, V. Saranathan, S. G. J. Mochrie, H. Cao, and R. O. Prum, “Self-assembly of amorphous biophotonic nanostructures by phase separation,” Soft Matter 5, 1792–1795 (2009). [CrossRef]
- B. Q. Dong, X. H. Liu, T. R. Zhan, L. P. Jiang, H. W. Yin, F. Liu, and J. Zi, “Structural coloration and photonic pseudogap in natural random close-packing photonic structures,” Opt. Express 18, 14430–14438 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “How non-iridescent colors are generated by quasi-ordered structures of bird feathers,” Adv. Mater. 22, 2871–2880 (2010). [CrossRef] [PubMed]
- J. D. Forster, H. Noh, S. F. Liew, V. Saranathan, C. F. Schreck, L. Yang, J.-G. Park, R. O. Prum, S. G. J. Mochrie, C. S. O’Hern, H. Cao, and E. R. Dufresne, “Biomimetic isotropic nanostructures for structural coloration,” Adv. Mater. 22, 2939–2944 (2010). [CrossRef] [PubMed]
- M. H. Ur-Rashid, A. B. Imran, T. Seki, M. Ishii, H. Nakamura, and Y. Takeoka, “Angle-independent structural color in colloidal amorphous arrays,” Chemphyschem 11, 579–583 (2010). [CrossRef]
- Y. Takeoka, M. Honda, T. Seki, M. Ishii, and H. Nakamura, “Structural colored liquid membrane without angle dependence,” ACS Appl. Mater. Interfaces 1, 982–986 (2009). [CrossRef]
- K. Ueno, A. Inaba, Y. Sano, M. Kondoh, and M. Watanabe, “A soft glassy colloidal array in ionic liquid, which exhibits homogenous, non-brilliant and angle-independent structural colors,” Chem. Commun. 3603–3605 (2009). [CrossRef]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Double scattering of light from biophotonic nanostructures with short-range order,” Opt. Express 18, 11942–11948 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Contribution of double scattering to structural coloration in quasi-ordered nanostructures of bird feathers,” Phys. Rev. E 81, 051923 (2010). [CrossRef]
- S. Torquato, T. M. Truskett, and P. G. Debenedetti, “Is random close packing of spheres well defined?,”Phys. Rev. Lett. 84, 2064–2067 (2000). [CrossRef] [PubMed]
- J. G. Berryman, “Random close packing of hard spheres and disks,” Phys. Rev. A 27, 1053–1061 (1983). [CrossRef]
- E. Akkermans and G. Montambaux, Mesoscopic Physics of Electrons and Photons (Cambridge University Press, 2007). [CrossRef]
- C. F. Schreck and C. S. O’Hern, “Computational methods to study jammed systems,” in Experimental and Computational Techniques in Soft Condensed Matter Physics , ed. by J. S. Olafsen, (Cambridge University Press, 2010).
- Y. Chonde and I. M. Krieger, “Emulsion polymerization of styrene with ionic comonomer in the presence of methanol,” J. Appl. Polymer Sci. 26, 1819–1827 (1981). [CrossRef]
- S. Fraden and G. Maret, “Multiple light scattering from concentrated, interacting suspensions,” Phys. Rev. Lett. 65, 512–515 (1990). [CrossRef] [PubMed]
- L. Blum and G. J. Stell, “Scattering function for polydisperse fluids of hard or permeable spheres,” J. Chem. Phys. 71, 42–46 (1979). [CrossRef]
- W. L. Griffith, R. Triolo, and A. L. Compere, “Analytical scattering function of a polydisperse Percus-Yevick fluid with Schulz -(Γ-) distributed diameters,” Phys. Rev. A 35, 2200–2206 (1987). [CrossRef] [PubMed]
- Y. Huang, Z. Sun, and E. M. Sevick-Muraca, “Assessment of electrostatic interactions in dense colloidal suspensions with multiply scattered light,” Langmuir 18, 2048–2053 (2002). [CrossRef]
- H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1981).
- C. S. O’Hern, L. E. Silbert, A. J. Liu, and S. R. Nagel, “Jamming at zero temperature and zero applied stress: the epitome of disorder,” Phys. Rev. E 68, 011306 (2003). [CrossRef]
- G.-J. Gao, J. Blawzdziewicz, and C. S. O’Hern, “Frequency distribution of mechanically stable disk packings,” Phys. Rev. E 74, 061304 (2006). [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] [PubMed]
- R. W. Hart and R. A. Farrell, “Light scattering in the cornea,” J. Opt. Soc. Am. 59, 766–773 (1969). [CrossRef] [PubMed]
- X. T. Peng and A. D. Dinsmore, “Light propagation in strongly scattering, random colloidal films: the role of the packing geometry,” Phys. Rev. Lett. 99, 143902 (2007). [CrossRef] [PubMed]
- L. E. McNeil and R. H. French, “Multiple scattering from rutile TiO2 particles,” Acta Mater. 48, 4571–4576 (2000). [CrossRef]
- E. V. Petrova, V.P. Tishkovets, and K. Jockers, “Interaction of particles in the near field and opposition effects in regolith-like surfaces,” Solar Syst. Res. 43, 100–115 (2009). [CrossRef]
- A. F. Koenderink, M. Megens, G. van Soest, W. L. Vos, and A. Lagendijk, “Enhanced backscattering from photonic crystals,” Phys. Lett. A 268, 104–111 (2000). [CrossRef]
- J. Huang, N. Eradat, M. E. Raikh, and Z. V. Vardeny, “Anomalous coherent backscattering of light from optical photonic crystals,” Phys. Rev. Lett. 86, 4815–4818 (2001). [CrossRef] [PubMed]
- A. F. Koenderink, A. Lagendijk, and W. L. Vos, “Optical extinction due to intrinsic structural variations of photonic crystals,” Phys. Rev. B 72, 153102 (2005). [CrossRef]
- P. D. García, R. Sapienza, L. S. Froufe-Pérez, and C. López, “Strong dispersive effects in the light-scattering mean free path in photonic gaps,” Phys. Rev. B 79, 241109 (2009). [CrossRef]
- E. Akkermans and G. Montambaux, Mesoscopic Physics of Electrons and Photons (Cambridge University Press, 2007). [CrossRef]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
- J. G. Berryman, “Random close packing of hard spheres and disks,” Phys. Rev. A 27, 1053–1061 (1983). [CrossRef]
- G.-J. Gao, J. Blawzdziewicz, and C. S. O’Hern, “Frequency distribution of mechanically stable disk packings,” Phys. Rev. E 74, 061304 (2006). [CrossRef]
- L. Blum and G. J. Stell, “Scattering function for polydisperse fluids of hard or permeable spheres,” J. Chem. Phys. 71, 42–46 (1979). [CrossRef]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Contribution of double scattering to structural coloration in quasi-ordered nanostructures of bird feathers,” Phys. Rev. E 81, 051923 (2010). [CrossRef]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Double scattering of light from biophotonic nanostructures with short-range order,” Opt. Express 18, 11942–11948 (2010). [CrossRef] [PubMed]
- J. D. Forster, H. Noh, S. F. Liew, V. Saranathan, C. F. Schreck, L. Yang, J.-G. Park, R. O. Prum, S. G. J. Mochrie, C. S. O’Hern, H. Cao, and E. R. Dufresne, “Biomimetic isotropic nanostructures for structural coloration,” Adv. Mater. 22, 2939–2944 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “How non-iridescent colors are generated by quasi-ordered structures of bird feathers,” Adv. Mater. 22, 2871–2880 (2010). [CrossRef] [PubMed]
- E. R. Dufresne, H. Noh, V. Saranathan, S. G. J. Mochrie, H. Cao, and R. O. Prum, “Self-assembly of amorphous biophotonic nanostructures by phase separation,” Soft Matter 5, 1792–1795 (2009). [CrossRef]
- Y. Chonde and I. M. Krieger, “Emulsion polymerization of styrene with ionic comonomer in the presence of methanol,” J. Appl. Polymer Sci. 26, 1819–1827 (1981). [CrossRef]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
- W. L. Griffith, R. Triolo, and A. L. Compere, “Analytical scattering function of a polydisperse Percus-Yevick fluid with Schulz -(Γ-) distributed diameters,” Phys. Rev. A 35, 2200–2206 (1987). [CrossRef] [PubMed]
- S. Torquato, T. M. Truskett, and P. G. Debenedetti, “Is random close packing of spheres well defined?,”Phys. Rev. Lett. 84, 2064–2067 (2000). [CrossRef] [PubMed]
- X. T. Peng and A. D. Dinsmore, “Light propagation in strongly scattering, random colloidal films: the role of the packing geometry,” Phys. Rev. Lett. 99, 143902 (2007). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “How non-iridescent colors are generated by quasi-ordered structures of bird feathers,” Adv. Mater. 22, 2871–2880 (2010). [CrossRef] [PubMed]
- J. D. Forster, H. Noh, S. F. Liew, V. Saranathan, C. F. Schreck, L. Yang, J.-G. Park, R. O. Prum, S. G. J. Mochrie, C. S. O’Hern, H. Cao, and E. R. Dufresne, “Biomimetic isotropic nanostructures for structural coloration,” Adv. Mater. 22, 2939–2944 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Double scattering of light from biophotonic nanostructures with short-range order,” Opt. Express 18, 11942–11948 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Contribution of double scattering to structural coloration in quasi-ordered nanostructures of bird feathers,” Phys. Rev. E 81, 051923 (2010). [CrossRef]
- E. R. Dufresne, H. Noh, V. Saranathan, S. G. J. Mochrie, H. Cao, and R. O. Prum, “Self-assembly of amorphous biophotonic nanostructures by phase separation,” Soft Matter 5, 1792–1795 (2009). [CrossRef]
- R. O. Prum, R. H. Torres, S. Williamson, and J. Dyck, “Coherent light scattering by blue bird feather barbs,” Nature 396, 28–29 (1998). [CrossRef]
- J. Huang, N. Eradat, M. E. Raikh, and Z. V. Vardeny, “Anomalous coherent backscattering of light from optical photonic crystals,” Phys. Rev. Lett. 86, 4815–4818 (2001). [CrossRef] [PubMed]
- J. D. Forster, H. Noh, S. F. Liew, V. Saranathan, C. F. Schreck, L. Yang, J.-G. Park, R. O. Prum, S. G. J. Mochrie, C. S. O’Hern, H. Cao, and E. R. Dufresne, “Biomimetic isotropic nanostructures for structural coloration,” Adv. Mater. 22, 2939–2944 (2010). [CrossRef] [PubMed]
- S. Fraden and G. Maret, “Multiple light scattering from concentrated, interacting suspensions,” Phys. Rev. Lett. 65, 512–515 (1990). [CrossRef] [PubMed]
- L. E. McNeil and R. H. French, “Multiple scattering from rutile TiO2 particles,” Acta Mater. 48, 4571–4576 (2000). [CrossRef]
- P. D. García, R. Sapienza, L. S. Froufe-Pérez, and C. López, “Strong dispersive effects in the light-scattering mean free path in photonic gaps,” Phys. Rev. B 79, 241109 (2009). [CrossRef]
- G.-J. Gao, J. Blawzdziewicz, and C. S. O’Hern, “Frequency distribution of mechanically stable disk packings,” Phys. Rev. E 74, 061304 (2006). [CrossRef]
- P. D. García, R. Sapienza, L. S. Froufe-Pérez, and C. López, “Strong dispersive effects in the light-scattering mean free path in photonic gaps,” Phys. Rev. B 79, 241109 (2009). [CrossRef]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
- W. L. Griffith, R. Triolo, and A. L. Compere, “Analytical scattering function of a polydisperse Percus-Yevick fluid with Schulz -(Γ-) distributed diameters,” Phys. Rev. A 35, 2200–2206 (1987). [CrossRef] [PubMed]
- Y. Takeoka, M. Honda, T. Seki, M. Ishii, and H. Nakamura, “Structural colored liquid membrane without angle dependence,” ACS Appl. Mater. Interfaces 1, 982–986 (2009). [CrossRef]
- J. Huang, N. Eradat, M. E. Raikh, and Z. V. Vardeny, “Anomalous coherent backscattering of light from optical photonic crystals,” Phys. Rev. Lett. 86, 4815–4818 (2001). [CrossRef] [PubMed]
- Y. Huang, Z. Sun, and E. M. Sevick-Muraca, “Assessment of electrostatic interactions in dense colloidal suspensions with multiply scattered light,” Langmuir 18, 2048–2053 (2002). [CrossRef]
- M. H. Ur-Rashid, A. B. Imran, T. Seki, M. Ishii, H. Nakamura, and Y. Takeoka, “Angle-independent structural color in colloidal amorphous arrays,” Chemphyschem 11, 579–583 (2010). [CrossRef]
- K. Ueno, A. Inaba, Y. Sano, M. Kondoh, and M. Watanabe, “A soft glassy colloidal array in ionic liquid, which exhibits homogenous, non-brilliant and angle-independent structural colors,” Chem. Commun. 3603–3605 (2009). [CrossRef]
- M. H. Ur-Rashid, A. B. Imran, T. Seki, M. Ishii, H. Nakamura, and Y. Takeoka, “Angle-independent structural color in colloidal amorphous arrays,” Chemphyschem 11, 579–583 (2010). [CrossRef]
- Y. Takeoka, M. Honda, T. Seki, M. Ishii, and H. Nakamura, “Structural colored liquid membrane without angle dependence,” ACS Appl. Mater. Interfaces 1, 982–986 (2009). [CrossRef]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
- E. V. Petrova, V.P. Tishkovets, and K. Jockers, “Interaction of particles in the near field and opposition effects in regolith-like surfaces,” Solar Syst. Res. 43, 100–115 (2009). [CrossRef]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
- S. Kinoshita, S. Yoshioka, and J. Miyazaki, “Physics of structural colors,” Rep. Prog. Phys. 71, 076401 (2008). [CrossRef]
- A. F. Koenderink, A. Lagendijk, and W. L. Vos, “Optical extinction due to intrinsic structural variations of photonic crystals,” Phys. Rev. B 72, 153102 (2005). [CrossRef]
- A. F. Koenderink, M. Megens, G. van Soest, W. L. Vos, and A. Lagendijk, “Enhanced backscattering from photonic crystals,” Phys. Lett. A 268, 104–111 (2000). [CrossRef]
- K. Ueno, A. Inaba, Y. Sano, M. Kondoh, and M. Watanabe, “A soft glassy colloidal array in ionic liquid, which exhibits homogenous, non-brilliant and angle-independent structural colors,” Chem. Commun. 3603–3605 (2009). [CrossRef]
- Y. Chonde and I. M. Krieger, “Emulsion polymerization of styrene with ionic comonomer in the presence of methanol,” J. Appl. Polymer Sci. 26, 1819–1827 (1981). [CrossRef]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
- A. F. Koenderink, A. Lagendijk, and W. L. Vos, “Optical extinction due to intrinsic structural variations of photonic crystals,” Phys. Rev. B 72, 153102 (2005). [CrossRef]
- A. F. Koenderink, M. Megens, G. van Soest, W. L. Vos, and A. Lagendijk, “Enhanced backscattering from photonic crystals,” Phys. Lett. A 268, 104–111 (2000). [CrossRef]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “How non-iridescent colors are generated by quasi-ordered structures of bird feathers,” Adv. Mater. 22, 2871–2880 (2010). [CrossRef] [PubMed]
- J. D. Forster, H. Noh, S. F. Liew, V. Saranathan, C. F. Schreck, L. Yang, J.-G. Park, R. O. Prum, S. G. J. Mochrie, C. S. O’Hern, H. Cao, and E. R. Dufresne, “Biomimetic isotropic nanostructures for structural coloration,” Adv. Mater. 22, 2939–2944 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Contribution of double scattering to structural coloration in quasi-ordered nanostructures of bird feathers,” Phys. Rev. E 81, 051923 (2010). [CrossRef]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Double scattering of light from biophotonic nanostructures with short-range order,” Opt. Express 18, 11942–11948 (2010). [CrossRef] [PubMed]
- C. S. O’Hern, L. E. Silbert, A. J. Liu, and S. R. Nagel, “Jamming at zero temperature and zero applied stress: the epitome of disorder,” Phys. Rev. E 68, 011306 (2003). [CrossRef]
- P. D. García, R. Sapienza, L. S. Froufe-Pérez, and C. López, “Strong dispersive effects in the light-scattering mean free path in photonic gaps,” Phys. Rev. B 79, 241109 (2009). [CrossRef]
- S. Fraden and G. Maret, “Multiple light scattering from concentrated, interacting suspensions,” Phys. Rev. Lett. 65, 512–515 (1990). [CrossRef] [PubMed]
- L. E. McNeil and R. H. French, “Multiple scattering from rutile TiO2 particles,” Acta Mater. 48, 4571–4576 (2000). [CrossRef]
- A. F. Koenderink, M. Megens, G. van Soest, W. L. Vos, and A. Lagendijk, “Enhanced backscattering from photonic crystals,” Phys. Lett. A 268, 104–111 (2000). [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] [PubMed]
- S. Kinoshita, S. Yoshioka, and J. Miyazaki, “Physics of structural colors,” Rep. Prog. Phys. 71, 076401 (2008). [CrossRef]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “How non-iridescent colors are generated by quasi-ordered structures of bird feathers,” Adv. Mater. 22, 2871–2880 (2010). [CrossRef] [PubMed]
- J. D. Forster, H. Noh, S. F. Liew, V. Saranathan, C. F. Schreck, L. Yang, J.-G. Park, R. O. Prum, S. G. J. Mochrie, C. S. O’Hern, H. Cao, and E. R. Dufresne, “Biomimetic isotropic nanostructures for structural coloration,” Adv. Mater. 22, 2939–2944 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Double scattering of light from biophotonic nanostructures with short-range order,” Opt. Express 18, 11942–11948 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Contribution of double scattering to structural coloration in quasi-ordered nanostructures of bird feathers,” Phys. Rev. E 81, 051923 (2010). [CrossRef]
- E. R. Dufresne, H. Noh, V. Saranathan, S. G. J. Mochrie, H. Cao, and R. O. Prum, “Self-assembly of amorphous biophotonic nanostructures by phase separation,” Soft Matter 5, 1792–1795 (2009). [CrossRef]
- E. Akkermans and G. Montambaux, Mesoscopic Physics of Electrons and Photons (Cambridge University Press, 2007). [CrossRef]
- C. S. O’Hern, L. E. Silbert, A. J. Liu, and S. R. Nagel, “Jamming at zero temperature and zero applied stress: the epitome of disorder,” Phys. Rev. E 68, 011306 (2003). [CrossRef]
- M. H. Ur-Rashid, A. B. Imran, T. Seki, M. Ishii, H. Nakamura, and Y. Takeoka, “Angle-independent structural color in colloidal amorphous arrays,” Chemphyschem 11, 579–583 (2010). [CrossRef]
- Y. Takeoka, M. Honda, T. Seki, M. Ishii, and H. Nakamura, “Structural colored liquid membrane without angle dependence,” ACS Appl. Mater. Interfaces 1, 982–986 (2009). [CrossRef]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Double scattering of light from biophotonic nanostructures with short-range order,” Opt. Express 18, 11942–11948 (2010). [CrossRef] [PubMed]
- J. D. Forster, H. Noh, S. F. Liew, V. Saranathan, C. F. Schreck, L. Yang, J.-G. Park, R. O. Prum, S. G. J. Mochrie, C. S. O’Hern, H. Cao, and E. R. Dufresne, “Biomimetic isotropic nanostructures for structural coloration,” Adv. Mater. 22, 2939–2944 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “How non-iridescent colors are generated by quasi-ordered structures of bird feathers,” Adv. Mater. 22, 2871–2880 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Contribution of double scattering to structural coloration in quasi-ordered nanostructures of bird feathers,” Phys. Rev. E 81, 051923 (2010). [CrossRef]
- E. R. Dufresne, H. Noh, V. Saranathan, S. G. J. Mochrie, H. Cao, and R. O. Prum, “Self-assembly of amorphous biophotonic nanostructures by phase separation,” Soft Matter 5, 1792–1795 (2009). [CrossRef]
- J. D. Forster, H. Noh, S. F. Liew, V. Saranathan, C. F. Schreck, L. Yang, J.-G. Park, R. O. Prum, S. G. J. Mochrie, C. S. O’Hern, H. Cao, and E. R. Dufresne, “Biomimetic isotropic nanostructures for structural coloration,” Adv. Mater. 22, 2939–2944 (2010). [CrossRef] [PubMed]
- G.-J. Gao, J. Blawzdziewicz, and C. S. O’Hern, “Frequency distribution of mechanically stable disk packings,” Phys. Rev. E 74, 061304 (2006). [CrossRef]
- C. S. O’Hern, L. E. Silbert, A. J. Liu, and S. R. Nagel, “Jamming at zero temperature and zero applied stress: the epitome of disorder,” Phys. Rev. E 68, 011306 (2003). [CrossRef]
- C. F. Schreck and C. S. O’Hern, “Computational methods to study jammed systems,” in Experimental and Computational Techniques in Soft Condensed Matter Physics , ed. by J. S. Olafsen, (Cambridge University Press, 2010).
- J. D. Forster, H. Noh, S. F. Liew, V. Saranathan, C. F. Schreck, L. Yang, J.-G. Park, R. O. Prum, S. G. J. Mochrie, C. S. O’Hern, H. Cao, and E. R. Dufresne, “Biomimetic isotropic nanostructures for structural coloration,” Adv. Mater. 22, 2939–2944 (2010). [CrossRef] [PubMed]
- X. T. Peng and A. D. Dinsmore, “Light propagation in strongly scattering, random colloidal films: the role of the packing geometry,” Phys. Rev. Lett. 99, 143902 (2007). [CrossRef] [PubMed]
- E. V. Petrova, V.P. Tishkovets, and K. Jockers, “Interaction of particles in the near field and opposition effects in regolith-like surfaces,” Solar Syst. Res. 43, 100–115 (2009). [CrossRef]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Double scattering of light from biophotonic nanostructures with short-range order,” Opt. Express 18, 11942–11948 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Contribution of double scattering to structural coloration in quasi-ordered nanostructures of bird feathers,” Phys. Rev. E 81, 051923 (2010). [CrossRef]
- J. D. Forster, H. Noh, S. F. Liew, V. Saranathan, C. F. Schreck, L. Yang, J.-G. Park, R. O. Prum, S. G. J. Mochrie, C. S. O’Hern, H. Cao, and E. R. Dufresne, “Biomimetic isotropic nanostructures for structural coloration,” Adv. Mater. 22, 2939–2944 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “How non-iridescent colors are generated by quasi-ordered structures of bird feathers,” Adv. Mater. 22, 2871–2880 (2010). [CrossRef] [PubMed]
- E. R. Dufresne, H. Noh, V. Saranathan, S. G. J. Mochrie, H. Cao, and R. O. Prum, “Self-assembly of amorphous biophotonic nanostructures by phase separation,” Soft Matter 5, 1792–1795 (2009). [CrossRef]
- R. O. Prum, R. H. Torres, S. Williamson, and J. Dyck, “Coherent light scattering by blue bird feather barbs,” Nature 396, 28–29 (1998). [CrossRef]
- J. Huang, N. Eradat, M. E. Raikh, and Z. V. Vardeny, “Anomalous coherent backscattering of light from optical photonic crystals,” Phys. Rev. Lett. 86, 4815–4818 (2001). [CrossRef] [PubMed]
- 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] [PubMed]
- 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] [PubMed]
- P. Vukusic and J. R. Sambles, “Photonic structures in biology,” Nature 424, 852–855 (2003). [CrossRef] [PubMed]
- K. Ueno, A. Inaba, Y. Sano, M. Kondoh, and M. Watanabe, “A soft glassy colloidal array in ionic liquid, which exhibits homogenous, non-brilliant and angle-independent structural colors,” Chem. Commun. 3603–3605 (2009). [CrossRef]
- P. D. García, R. Sapienza, L. S. Froufe-Pérez, and C. López, “Strong dispersive effects in the light-scattering mean free path in photonic gaps,” Phys. Rev. B 79, 241109 (2009). [CrossRef]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Double scattering of light from biophotonic nanostructures with short-range order,” Opt. Express 18, 11942–11948 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Contribution of double scattering to structural coloration in quasi-ordered nanostructures of bird feathers,” Phys. Rev. E 81, 051923 (2010). [CrossRef]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “How non-iridescent colors are generated by quasi-ordered structures of bird feathers,” Adv. Mater. 22, 2871–2880 (2010). [CrossRef] [PubMed]
- J. D. Forster, H. Noh, S. F. Liew, V. Saranathan, C. F. Schreck, L. Yang, J.-G. Park, R. O. Prum, S. G. J. Mochrie, C. S. O’Hern, H. Cao, and E. R. Dufresne, “Biomimetic isotropic nanostructures for structural coloration,” Adv. Mater. 22, 2939–2944 (2010). [CrossRef] [PubMed]
- E. R. Dufresne, H. Noh, V. Saranathan, S. G. J. Mochrie, H. Cao, and R. O. Prum, “Self-assembly of amorphous biophotonic nanostructures by phase separation,” Soft Matter 5, 1792–1795 (2009). [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] [PubMed]
- J. D. Forster, H. Noh, S. F. Liew, V. Saranathan, C. F. Schreck, L. Yang, J.-G. Park, R. O. Prum, S. G. J. Mochrie, C. S. O’Hern, H. Cao, and E. R. Dufresne, “Biomimetic isotropic nanostructures for structural coloration,” Adv. Mater. 22, 2939–2944 (2010). [CrossRef] [PubMed]
- C. F. Schreck and C. S. O’Hern, “Computational methods to study jammed systems,” in Experimental and Computational Techniques in Soft Condensed Matter Physics , ed. by J. S. Olafsen, (Cambridge University Press, 2010).
- 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] [PubMed]
- M. H. Ur-Rashid, A. B. Imran, T. Seki, M. Ishii, H. Nakamura, and Y. Takeoka, “Angle-independent structural color in colloidal amorphous arrays,” Chemphyschem 11, 579–583 (2010). [CrossRef]
- Y. Takeoka, M. Honda, T. Seki, M. Ishii, and H. Nakamura, “Structural colored liquid membrane without angle dependence,” ACS Appl. Mater. Interfaces 1, 982–986 (2009). [CrossRef]
- Y. Huang, Z. Sun, and E. M. Sevick-Muraca, “Assessment of electrostatic interactions in dense colloidal suspensions with multiply scattered light,” Langmuir 18, 2048–2053 (2002). [CrossRef]
- C. S. O’Hern, L. E. Silbert, A. J. Liu, and S. R. Nagel, “Jamming at zero temperature and zero applied stress: the epitome of disorder,” Phys. Rev. E 68, 011306 (2003). [CrossRef]
- L. Blum and G. J. Stell, “Scattering function for polydisperse fluids of hard or permeable spheres,” J. Chem. Phys. 71, 42–46 (1979). [CrossRef]
- Y. Huang, Z. Sun, and E. M. Sevick-Muraca, “Assessment of electrostatic interactions in dense colloidal suspensions with multiply scattered light,” Langmuir 18, 2048–2053 (2002). [CrossRef]
- M. H. Ur-Rashid, A. B. Imran, T. Seki, M. Ishii, H. Nakamura, and Y. Takeoka, “Angle-independent structural color in colloidal amorphous arrays,” Chemphyschem 11, 579–583 (2010). [CrossRef]
- Y. Takeoka, M. Honda, T. Seki, M. Ishii, and H. Nakamura, “Structural colored liquid membrane without angle dependence,” ACS Appl. Mater. Interfaces 1, 982–986 (2009). [CrossRef]
- E. V. Petrova, V.P. Tishkovets, and K. Jockers, “Interaction of particles in the near field and opposition effects in regolith-like surfaces,” Solar Syst. Res. 43, 100–115 (2009). [CrossRef]
- S. Torquato, T. M. Truskett, and P. G. Debenedetti, “Is random close packing of spheres well defined?,”Phys. Rev. Lett. 84, 2064–2067 (2000). [CrossRef] [PubMed]
- R. O. Prum, R. H. Torres, S. Williamson, and J. Dyck, “Coherent light scattering by blue bird feather barbs,” Nature 396, 28–29 (1998). [CrossRef]
- W. L. Griffith, R. Triolo, and A. L. Compere, “Analytical scattering function of a polydisperse Percus-Yevick fluid with Schulz -(Γ-) distributed diameters,” Phys. Rev. A 35, 2200–2206 (1987). [CrossRef] [PubMed]
- S. Torquato, T. M. Truskett, and P. G. Debenedetti, “Is random close packing of spheres well defined?,”Phys. Rev. Lett. 84, 2064–2067 (2000). [CrossRef] [PubMed]
- K. Ueno, A. Inaba, Y. Sano, M. Kondoh, and M. Watanabe, “A soft glassy colloidal array in ionic liquid, which exhibits homogenous, non-brilliant and angle-independent structural colors,” Chem. Commun. 3603–3605 (2009). [CrossRef]
- M. H. Ur-Rashid, A. B. Imran, T. Seki, M. Ishii, H. Nakamura, and Y. Takeoka, “Angle-independent structural color in colloidal amorphous arrays,” Chemphyschem 11, 579–583 (2010). [CrossRef]
- H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1981).
- A. F. Koenderink, M. Megens, G. van Soest, W. L. Vos, and A. Lagendijk, “Enhanced backscattering from photonic crystals,” Phys. Lett. A 268, 104–111 (2000). [CrossRef]
- J. Huang, N. Eradat, M. E. Raikh, and Z. V. Vardeny, “Anomalous coherent backscattering of light from optical photonic crystals,” Phys. Rev. Lett. 86, 4815–4818 (2001). [CrossRef] [PubMed]
- A. F. Koenderink, A. Lagendijk, and W. L. Vos, “Optical extinction due to intrinsic structural variations of photonic crystals,” Phys. Rev. B 72, 153102 (2005). [CrossRef]
- A. F. Koenderink, M. Megens, G. van Soest, W. L. Vos, and A. Lagendijk, “Enhanced backscattering from photonic crystals,” Phys. Lett. A 268, 104–111 (2000). [CrossRef]
- P. Vukusic and J. R. Sambles, “Photonic structures in biology,” Nature 424, 852–855 (2003). [CrossRef] [PubMed]
- K. Ueno, A. Inaba, Y. Sano, M. Kondoh, and M. Watanabe, “A soft glassy colloidal array in ionic liquid, which exhibits homogenous, non-brilliant and angle-independent structural colors,” Chem. Commun. 3603–3605 (2009). [CrossRef]
- R. O. Prum, R. H. Torres, S. Williamson, and J. Dyck, “Coherent light scattering by blue bird feather barbs,” Nature 396, 28–29 (1998). [CrossRef]
- J. D. Forster, H. Noh, S. F. Liew, V. Saranathan, C. F. Schreck, L. Yang, J.-G. Park, R. O. Prum, S. G. J. Mochrie, C. S. O’Hern, H. Cao, and E. R. Dufresne, “Biomimetic isotropic nanostructures for structural coloration,” Adv. Mater. 22, 2939–2944 (2010). [CrossRef] [PubMed]
- S. Kinoshita, S. Yoshioka, and J. Miyazaki, “Physics of structural colors,” Rep. Prog. Phys. 71, 076401 (2008). [CrossRef]
ACS Appl. Mater. Interfaces
- Y. Takeoka, M. Honda, T. Seki, M. Ishii, and H. Nakamura, “Structural colored liquid membrane without angle dependence,” ACS Appl. Mater. Interfaces 1, 982–986 (2009). [CrossRef]
Acta Mater.
- L. E. McNeil and R. H. French, “Multiple scattering from rutile TiO2 particles,” Acta Mater. 48, 4571–4576 (2000). [CrossRef]
Adv. Mater.
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “How non-iridescent colors are generated by quasi-ordered structures of bird feathers,” Adv. Mater. 22, 2871–2880 (2010). [CrossRef] [PubMed]
- J. D. Forster, H. Noh, S. F. Liew, V. Saranathan, C. F. Schreck, L. Yang, J.-G. Park, R. O. Prum, S. G. J. Mochrie, C. S. O’Hern, H. Cao, and E. R. Dufresne, “Biomimetic isotropic nanostructures for structural coloration,” Adv. Mater. 22, 2939–2944 (2010). [CrossRef] [PubMed]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
Chem. Commun.
- K. Ueno, A. Inaba, Y. Sano, M. Kondoh, and M. Watanabe, “A soft glassy colloidal array in ionic liquid, which exhibits homogenous, non-brilliant and angle-independent structural colors,” Chem. Commun. 3603–3605 (2009). [CrossRef]
Chemphyschem
- M. H. Ur-Rashid, A. B. Imran, T. Seki, M. Ishii, H. Nakamura, and Y. Takeoka, “Angle-independent structural color in colloidal amorphous arrays,” Chemphyschem 11, 579–583 (2010). [CrossRef]
J. Appl. Polymer Sci.
- Y. Chonde and I. M. Krieger, “Emulsion polymerization of styrene with ionic comonomer in the presence of methanol,” J. Appl. Polymer Sci. 26, 1819–1827 (1981). [CrossRef]
J. Chem. Phys.
- L. Blum and G. J. Stell, “Scattering function for polydisperse fluids of hard or permeable spheres,” J. Chem. Phys. 71, 42–46 (1979). [CrossRef]
J. Opt. Soc. Am.
- R. W. Hart and R. A. Farrell, “Light scattering in the cornea,” J. Opt. Soc. Am. 59, 766–773 (1969). [CrossRef] [PubMed]
Langmuir
- Y. Huang, Z. Sun, and E. M. Sevick-Muraca, “Assessment of electrostatic interactions in dense colloidal suspensions with multiply scattered light,” Langmuir 18, 2048–2053 (2002). [CrossRef]
Nature
- P. Vukusic and J. R. Sambles, “Photonic structures in biology,” Nature 424, 852–855 (2003). [CrossRef] [PubMed]
- R. O. Prum, R. H. Torres, S. Williamson, and J. Dyck, “Coherent light scattering by blue bird feather barbs,” Nature 396, 28–29 (1998). [CrossRef]
Opt. Express
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Double scattering of light from biophotonic nanostructures with short-range order,” Opt. Express 18, 11942–11948 (2010). [CrossRef] [PubMed]
- B. Q. Dong, X. H. Liu, T. R. Zhan, L. P. Jiang, H. W. Yin, F. Liu, and J. Zi, “Structural coloration and photonic pseudogap in natural random close-packing photonic structures,” Opt. Express 18, 14430–14438 (2010). [CrossRef] [PubMed]
Phys. Lett. A
- A. F. Koenderink, M. Megens, G. van Soest, W. L. Vos, and A. Lagendijk, “Enhanced backscattering from photonic crystals,” Phys. Lett. A 268, 104–111 (2000). [CrossRef]
Phys. Rev. A
- W. L. Griffith, R. Triolo, and A. L. Compere, “Analytical scattering function of a polydisperse Percus-Yevick fluid with Schulz -(Γ-) distributed diameters,” Phys. Rev. A 35, 2200–2206 (1987). [CrossRef] [PubMed]
- J. G. Berryman, “Random close packing of hard spheres and disks,” Phys. Rev. A 27, 1053–1061 (1983). [CrossRef]
Phys. Rev. B
- A. F. Koenderink, A. Lagendijk, and W. L. Vos, “Optical extinction due to intrinsic structural variations of photonic crystals,” Phys. Rev. B 72, 153102 (2005). [CrossRef]
- P. D. García, R. Sapienza, L. S. Froufe-Pérez, and C. López, “Strong dispersive effects in the light-scattering mean free path in photonic gaps,” Phys. Rev. B 79, 241109 (2009). [CrossRef]
Phys. Rev. E
- C. S. O’Hern, L. E. Silbert, A. J. Liu, and S. R. Nagel, “Jamming at zero temperature and zero applied stress: the epitome of disorder,” Phys. Rev. E 68, 011306 (2003). [CrossRef]
- G.-J. Gao, J. Blawzdziewicz, and C. S. O’Hern, “Frequency distribution of mechanically stable disk packings,” Phys. Rev. E 74, 061304 (2006). [CrossRef]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Contribution of double scattering to structural coloration in quasi-ordered nanostructures of bird feathers,” Phys. Rev. E 81, 051923 (2010). [CrossRef]
Phys. Rev. Lett.
- S. Torquato, T. M. Truskett, and P. G. Debenedetti, “Is random close packing of spheres well defined?,”Phys. Rev. Lett. 84, 2064–2067 (2000). [CrossRef] [PubMed]
- S. Fraden and G. Maret, “Multiple light scattering from concentrated, interacting suspensions,” Phys. Rev. Lett. 65, 512–515 (1990). [CrossRef] [PubMed]
- 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] [PubMed]
- X. T. Peng and A. D. Dinsmore, “Light propagation in strongly scattering, random colloidal films: the role of the packing geometry,” Phys. Rev. Lett. 99, 143902 (2007). [CrossRef] [PubMed]
- J. Huang, N. Eradat, M. E. Raikh, and Z. V. Vardeny, “Anomalous coherent backscattering of light from optical photonic crystals,” Phys. Rev. Lett. 86, 4815–4818 (2001). [CrossRef] [PubMed]
Rep. Prog. Phys.
- S. Kinoshita, S. Yoshioka, and J. Miyazaki, “Physics of structural colors,” Rep. Prog. Phys. 71, 076401 (2008). [CrossRef]
Soft Matter
- E. R. Dufresne, H. Noh, V. Saranathan, S. G. J. Mochrie, H. Cao, and R. O. Prum, “Self-assembly of amorphous biophotonic nanostructures by phase separation,” Soft Matter 5, 1792–1795 (2009). [CrossRef]
Solar Syst. Res.
- E. V. Petrova, V.P. Tishkovets, and K. Jockers, “Interaction of particles in the near field and opposition effects in regolith-like surfaces,” Solar Syst. Res. 43, 100–115 (2009). [CrossRef]
Other
- H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1981).
- E. Akkermans and G. Montambaux, Mesoscopic Physics of Electrons and Photons (Cambridge University Press, 2007). [CrossRef]
- C. F. Schreck and C. S. O’Hern, “Computational methods to study jammed systems,” in Experimental and Computational Techniques in Soft Condensed Matter Physics , ed. by J. S. Olafsen, (Cambridge University Press, 2010).
2010, Noh, Adv. Mater.
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “How non-iridescent colors are generated by quasi-ordered structures of bird feathers,” Adv. Mater. 22, 2871–2880 (2010). [CrossRef] [PubMed]
- J. D. Forster, H. Noh, S. F. Liew, V. Saranathan, C. F. Schreck, L. Yang, J.-G. Park, R. O. Prum, S. G. J. Mochrie, C. S. O’Hern, H. Cao, and E. R. Dufresne, “Biomimetic isotropic nanostructures for structural coloration,” Adv. Mater. 22, 2939–2944 (2010). [CrossRef] [PubMed]
- M. H. Ur-Rashid, A. B. Imran, T. Seki, M. Ishii, H. Nakamura, and Y. Takeoka, “Angle-independent structural color in colloidal amorphous arrays,” Chemphyschem 11, 579–583 (2010). [CrossRef]
- I. Lee, D. Kim, J. Kal, H. Baek, D. Kwak, D. Go, E. Kim, C. Kang, J. Chung, Y. Jang, S. Ji, J. Joo, and Y. Kang, “Quasi-amorphous colloidal structures for electrically tunable full-color photonic pixels with angle-independency,” Adv. Mater. 22, 4973–4977 (2010). [CrossRef] [PubMed]
- H. Noh, S. F. Liew, V. Saranathan, R. O. Prum, S. G. J. Mochrie, E. R. Dufresne, and H. Cao, “Contribution of double scattering to structural coloration in quasi-ordered nanostructures of bird feathers,” Phys. Rev. E 81, 051923 (2010). [CrossRef]
- P. D. García, R. Sapienza, L. S. Froufe-Pérez, and C. López, “Strong dispersive effects in the light-scattering mean free path in photonic gaps,” Phys. Rev. B 79, 241109 (2009). [CrossRef]
- E. V. Petrova, V.P. Tishkovets, and K. Jockers, “Interaction of particles in the near field and opposition effects in regolith-like surfaces,” Solar Syst. Res. 43, 100–115 (2009). [CrossRef]
- Y. Takeoka, M. Honda, T. Seki, M. Ishii, and H. Nakamura, “Structural colored liquid membrane without angle dependence,” ACS Appl. Mater. Interfaces 1, 982–986 (2009). [CrossRef]
- K. Ueno, A. Inaba, Y. Sano, M. Kondoh, and M. Watanabe, “A soft glassy colloidal array in ionic liquid, which exhibits homogenous, non-brilliant and angle-independent structural colors,” Chem. Commun. 3603–3605 (2009). [CrossRef]
- E. R. Dufresne, H. Noh, V. Saranathan, S. G. J. Mochrie, H. Cao, and R. O. Prum, “Self-assembly of amorphous biophotonic nanostructures by phase separation,” Soft Matter 5, 1792–1795 (2009). [CrossRef]
- S. Kinoshita, S. Yoshioka, and J. Miyazaki, “Physics of structural colors,” Rep. Prog. Phys. 71, 076401 (2008). [CrossRef]
- X. T. Peng and A. D. Dinsmore, “Light propagation in strongly scattering, random colloidal films: the role of the packing geometry,” Phys. Rev. Lett. 99, 143902 (2007). [CrossRef] [PubMed]
- G.-J. Gao, J. Blawzdziewicz, and C. S. O’Hern, “Frequency distribution of mechanically stable disk packings,” Phys. Rev. E 74, 061304 (2006). [CrossRef]
- A. F. Koenderink, A. Lagendijk, and W. L. Vos, “Optical extinction due to intrinsic structural variations of photonic crystals,” Phys. Rev. B 72, 153102 (2005). [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] [PubMed]
- C. S. O’Hern, L. E. Silbert, A. J. Liu, and S. R. Nagel, “Jamming at zero temperature and zero applied stress: the epitome of disorder,” Phys. Rev. E 68, 011306 (2003). [CrossRef]
- P. Vukusic and J. R. Sambles, “Photonic structures in biology,” Nature 424, 852–855 (2003). [CrossRef] [PubMed]
- Y. Huang, Z. Sun, and E. M. Sevick-Muraca, “Assessment of electrostatic interactions in dense colloidal suspensions with multiply scattered light,” Langmuir 18, 2048–2053 (2002). [CrossRef]
- J. Huang, N. Eradat, M. E. Raikh, and Z. V. Vardeny, “Anomalous coherent backscattering of light from optical photonic crystals,” Phys. Rev. Lett. 86, 4815–4818 (2001). [CrossRef] [PubMed]
- A. F. Koenderink, M. Megens, G. van Soest, W. L. Vos, and A. Lagendijk, “Enhanced backscattering from photonic crystals,” Phys. Lett. A 268, 104–111 (2000). [CrossRef]
- L. E. McNeil and R. H. French, “Multiple scattering from rutile TiO2 particles,” Acta Mater. 48, 4571–4576 (2000). [CrossRef]
- S. Torquato, T. M. Truskett, and P. G. Debenedetti, “Is random close packing of spheres well defined?,”Phys. Rev. Lett. 84, 2064–2067 (2000). [CrossRef] [PubMed]
- R. O. Prum, R. H. Torres, S. Williamson, and J. Dyck, “Coherent light scattering by blue bird feather barbs,” Nature 396, 28–29 (1998). [CrossRef]
- S. Fraden and G. Maret, “Multiple light scattering from concentrated, interacting suspensions,” Phys. Rev. Lett. 65, 512–515 (1990). [CrossRef] [PubMed]
- W. L. Griffith, R. Triolo, and A. L. Compere, “Analytical scattering function of a polydisperse Percus-Yevick fluid with Schulz -(Γ-) distributed diameters,” Phys. Rev. A 35, 2200–2206 (1987). [CrossRef] [PubMed]
- J. G. Berryman, “Random close packing of hard spheres and disks,” Phys. Rev. A 27, 1053–1061 (1983). [CrossRef]
- Y. Chonde and I. M. Krieger, “Emulsion polymerization of styrene with ionic comonomer in the presence of methanol,” J. Appl. Polymer Sci. 26, 1819–1827 (1981). [CrossRef]
- L. Blum and G. J. Stell, “Scattering function for polydisperse fluids of hard or permeable spheres,” J. Chem. Phys. 71, 42–46 (1979). [CrossRef]
Cited By |
OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.
Related Journal Articles 
- Broadband enhanced backscattering spectroscopy of strongly scattering media (OE)
- Far-field optical coupling to semi-infinite metal-nanoparticle chains (JOSAB)
- Light-driven circular plasmon current in a silver nanoring (OL)
- Enhanced fluorescence and near-field intensity for Ag nanowire/nanocolumn arrays: evidence for the role of surface plasmon standing waves (OE)
- Superfocusing by nanoshells (OL)
Related Conference Papers 
- Enhanced Light Backscattering in Thermally Poled Plasmonic Nanocomposite and Its Application to Vapour Sensing
- Single-Crystal Erbium Chloride Silicate Nanowires for Novel Si-Compatible Sources at 1.53 μm
- Single-Crystal Erbium Chloride Silicate Nanowires for Novel Si-Compatible Sources at 1.53 μm
- Strain-Induced Self-rolling of Semiconductor Membranes: Effect of Geometry, Energetics, and Kinetics
- Strain-Induced Self-rolling of Semiconductor Membranes: Effect of Geometry, Energetics, and Kinetics
- Raman Antenna Formed by Molecule/Plasmonic Nanostructure Hybrid System
- Nonlinear Optical Response of Nanoantennas
- Firefox 11+
- Google Chrome 17+
- Internet Explorer 9+
- Safari 5+




OSA is a member of 