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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 22 — Oct. 22, 2012
  • pp: 25111–25120

Backscattering properties of small layered plates: a model for iridosomes

Meng Gao, Yu You, Ping Yang, and George W. Kattawar  »View Author Affiliations

Optics Express, Vol. 20, Issue 22, pp. 25111-25120 (2012)

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The backscattering properties of small layered plates are studied for various size parameter values with respect to the plate thickness, plate aspect ratio, number of layers, incident direction, and polarization states of the incident light. The results are compared with the analytical results for semi-infinite plates. The phase functions and the corresponding backscattering efficiencies of the small plates are computed with the Discrete Dipole Approximation method. The angular width of the reflection peak is found to depend on both the size parameter and the aspect ratio. The criteria for using the reflectance of semi-infinite plates to approximate the backscattering efficiencies of finite size plates are quantified with respect to the number of layers, incident angle, and polarization state.

© 2012 OSA

OCIS Codes
(290.1350) Scattering : Backscattering
(310.6860) Thin films : Thin films, optical properties
(160.1435) Materials : Biomaterials
(290.5855) Scattering : Scattering, polarization

ToC Category:

Original Manuscript: August 24, 2012
Revised Manuscript: October 10, 2012
Manuscript Accepted: October 10, 2012
Published: October 18, 2012

Meng Gao, Yu You, Ping Yang, and George W. Kattawar, "Backscattering properties of small layered plates: a model for iridosomes," Opt. Express 20, 25111-25120 (2012)

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  1. M. F. Land, “The physics and biology of animal reflectors,” Prog. Biophys. Mol. Biol.24, 75–106 (1972). [CrossRef] [PubMed]
  2. L. M. Mäthger, E. J. Denton, N. J. Marshall, and R. T. Hanlon, “Mechanisms and behavioural functions of structural coloration in cephalopods,” J. R. Soc. Interface6(2), S149–S163 (2009). [PubMed]
  3. M. Born and E. Wolf, Principles of optics: electromagnetic theory of propagation, interference and diffraction of light (Cambridge University Press, 1999).
  4. E. Hecht, Optics (Addison-Wesley, 2002).
  5. A. Huxley, “A theoretical treatment of the reflexion of light by multilayer structures,” J. Exp. Biol.48, 227–245 (1968).
  6. B. E. A. Saleh and M. C. Teich, Fundamentals of photonics (John Wiley & Sons, 2007).
  7. A. L. Holt, A. M. Sweeney, S. Johnsen, and D. E. Morse, “A highly distributed Bragg stack with unique geometry provides effective camouflage for Loliginid squid eyes,” J. R. Soc. Interface8(63), 1386–1399 (2011). [CrossRef] [PubMed]
  8. R. L. Sutherland, L. M. Mäthger, R. T. Hanlon, A. M. Urbas, and M. O. Stone, “Cephalopod coloration model. I. Squid chromatophores and iridophores,” J. Opt. Soc. Am. A25(3), 588–599 (2008). [CrossRef] [PubMed]
  9. L. M. Mäthger and E. J. Denton, “Reflective properties of iridophores and fluorescent ‘eyespots’ in the loliginid squid Alloteuthis subulata and Loligo vulgaris,” J. Exp. Biol.204(Pt 12), 2103–2118 (2001). [PubMed]
  10. J. Arnold, R. Young, and M. King, “Ultrastructure of a cephalopod photophore. II. Iridophores as reflectors and transmitters,” Biol. Bull.147(3), 522–534 (1974). [CrossRef]
  11. S. L. Brocco and R. A. Cloney, “Reflector cells in the skin of Octopus dofleini,” Cell Tissue Res.205(2), 167–186 (1980). [CrossRef] [PubMed]
  12. R. Cloney and S. Brocco, “Chromatophore organs, reflector cells, iridocytes and leucophores in cephalopods,” Integr. Comp. Biol.23(3), 581–592 (1983). [CrossRef]
  13. K. M. Cooper, R. T. Hanlon, and B. U. Budelmann, “Physiological color change in squid iridophores. II. Ultrastructural mechanisms in Lolliguncula brevis,” Cell Tissue Res.259(1), 15–24 (1990). [CrossRef] [PubMed]
  14. D. Froesch and J. B. Messenger, “On leucophores and the chromatic unit of Octopus vulgaris,” J. Zool.186(2), 163–173 (1978). [CrossRef]
  15. L. M. Mäthger, T. F. Collins, and P. A. Lima, “The role of muscarinic receptors and intracellular Ca2+ in the spectral reflectivity changes of squid iridophores,” J. Exp. Biol.207(11), 1759–1769 (2004). [CrossRef] [PubMed]
  16. S. Mirow, “Skin color in the squids Loligo pealii and Loligo opalescens. II. Iridophores,” Z. Zellforsch. Mikrosk. Anat.125(2), 176–190 (1972). [CrossRef] [PubMed]
  17. E. M. Purcell and C. R. Pennypacker, “Scattering and absorption of light by nonspherical dielectric grains,” Astrophys. J.186, 705–714 (1973). [CrossRef]
  18. M. A. Yurkin and A. G. Hoekstra, “The discrete-dipole-approximation code ADDA: Capabilities and known limitations,” J. Quant. Spectrosc. Radiat. Transf.112(13), 2234–2247 (2011). [CrossRef]
  19. P. Yang and K. N. Liou, “Light scattering by hexagonal ice crystals: solutions by a ray-by-ray integration algorithm,” J. Opt. Soc. Am. A14(9), 2278–2289 (1997). [CrossRef]
  20. L. Bi, P. Yang, and G. W. Kattawar, “Edge-effect contribution to the extinction of light by dielectric disks and cylindrical particles,” Appl. Opt.49(24), 4641–4646 (2010). [CrossRef] [PubMed]
  21. T. H. Chiou, L. M. Mäthger, R. T. Hanlon, and T. W. Cronin, “Spectral and spatial properties of polarized light reflections from the arms of squid (Loligo pealeii) and cuttlefish (Sepia officinalis L.),” J. Exp. Biol.210(20), 3624–3635 (2007). [CrossRef] [PubMed]
  22. R. M. Kramer, W. J. Crookes-Goodson, and R. R. Naik, “The self-organizing properties of squid reflectin protein,” Nat. Mater.6(7), 533–538 (2007). [CrossRef] [PubMed]
  23. G. W. Kattawar and G. N. Plass, “Interior radiances in optically deep absorbing media. 1.Exact solutions for one-dimensional model,” J. Quant. Spectrosc. Radiat. Transf.13(11), 1065–1080 (1973). [CrossRef]
  24. C. Bohren and E. Clothiaux, Fundamentals of atmospheric radiation (Wiley-VCH, 2006).
  25. P. Yang and K. N. Liou, “Geometric-optics-integral-equation method for light scattering by nonspherical ice crystals,” Appl. Opt.35(33), 6568–6584 (1996). [CrossRef] [PubMed]
  26. H. C. van de Hulst, Light scattering by small particles (Dover Publications, 1981).

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