Direct determination of the refractive index of natural multilayer systems.

It is well known that the metal-like strong reflection observed in the elytra of some kinds of beetles is produced by multilayer thin-film interference. For the quantitative analyses of the structural colors in these elytra, it is necessary to know accurate values of the refractive indices of the materials that comprise the multilayer structure. However, index determination is not an easy task: The elytron surface is not flat but curved and usually contains many irregular bumps, which cause scattering loss. These structural characteristics prevent us from directly applying conventional optical techniques for index determination, such as ellipsometry, since these techniques require a perfectly specular surface. In this paper, we report a new experimental procedure that can directly determine the refractive indices of individual layers in natural multilayer systems. This procedure involves semi-frontal thin-sectioning of the sample and subsequent optical examinations using a microspectrophotometer. We demonstrate that the complex refractive index and its wavelength dependence can be successfully determined for one kind of beetle.

[1]  Olivier Deparis,et al.  Switchable reflector in the Panamanian tortoise beetle Charidotella egregia (Chrysomelidae: Cassidinae). , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Mckenzie,et al.  Multilayer reflectors in animals using green and gold beetles as contrasting examples , 1998, The Journal of experimental biology.

[3]  M. Rankin,et al.  The Ultrastructure of the Epicuticular Interference Reflectors of Tiger Beetles (Cicindela) , 1985 .

[4]  P Vukusic,et al.  Physical methods for investigating structural colours in biological systems , 2009, Journal of The Royal Society Interface.

[5]  Shuichi Kinoshita,et al.  Origin of Two-Color Iridescence in Rock Dove's Feather(Cross-disciplinary physics and related areas of science and technology) , 2007 .

[6]  Rodolfo H. Torres,et al.  Two-dimensional Fourier analysis of the spongy medullary keratin of structurally coloured feather barbs , 1999, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[7]  Gary D. Bernard,et al.  Pointillistic mixing of interference colours in cryptic tiger beetles , 1989, Nature.

[8]  Richard O Prum,et al.  Contribution of double scattering to structural coloration in quasiordered nanostructures of bird feathers. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  M. Land,et al.  Rapid colour changes in multilayer reflecting stripes in the paradise whiptail, Pentapodus paradiseus , 2003, Journal of Experimental Biology.

[10]  J. R. Sambles,et al.  Structural colour: Colour mixing in wing scales of a butterfly , 2000, Nature.

[11]  Feng Liu,et al.  Inconspicuous structural coloration in the elytra of beetles Chlorophila obscuripennis (Coleoptera). , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Mohan Srinivasarao,et al.  Structural Origin of Circularly Polarized Iridescence in Jeweled Beetles , 2009, Science.

[13]  S. Kinoshita,et al.  Coloration using higher order optical interference in the wing pattern of the Madagascan sunset moth , 2008, Journal of The Royal Society Interface.

[14]  Shuichi Kinoshita,et al.  Polarization-sensitive color mixing in the wing of the Madagascan sunset moth. , 2007, Optics express.

[15]  R. Wootton,et al.  Quantified interference and diffraction in single Morpho butterfly scales , 1999, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[16]  Dietrich Mossakowski,et al.  Reflection Measurements Used In The Analysis Of Structural Colours Of Beetles , 1979 .

[17]  H. Ghiradella Light and color on the wing: structural colors in butterflies and moths. , 1991, Applied optics.

[18]  Shuichi Kinoshita,et al.  Wavelength–selective and anisotropic light–diffusing scale on the wing of the Morpho butterfly , 2004, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[19]  Shuichi Kinoshita,et al.  Physics of structural colors , 2008 .

[20]  Nicholas W. Roberts,et al.  Circularly polarized colour reflection from helicoidal structures in the beetle Plusiotis boucardi , 2007 .

[21]  S. Kinoshita,et al.  Mechanism of variable structural colour in the neon tetra: quantitative evaluation of the Venetian blind model , 2011, Journal of The Royal Society Interface.

[22]  Bodo D Wilts,et al.  Polarized iridescence of the multilayered elytra of the Japanese jewel beetle, Chrysochroa fulgidissima , 2011, Philosophical Transactions of the Royal Society B: Biological Sciences.

[23]  Benny Hallam,et al.  Brilliant Whiteness in Ultrathin Beetle Scales , 2007, Science.

[24]  P. Aerts,et al.  Aquatic suction feeding dynamics: insights from computational modelling , 2009, Journal of The Royal Society Interface.

[25]  C. H. Greenewalt,et al.  Iridescent Colors of Hummingbird Feathers , 1960 .

[26]  Andrew R. Parker,et al.  515 million years of structural colour , 2000 .

[27]  Yasuharu Takaku,et al.  The origin of extensive colour polymorphism in Plateumaris sericea (Chrysomelidae, Coleoptera) , 2002, Naturwissenschaften.

[28]  Shuichi Kinoshita,et al.  Structural colors in nature: the role of regularity and irregularity in the structure. , 2005, Chemphyschem : a European journal of chemical physics and physical chemistry.

[29]  Shuichi Kinoshita,et al.  Single-scale spectroscopy of structurally colored butterflies: measurements of quantified reflectance and transmittance. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[30]  S. Caveney,et al.  SCARABAEID BEETLE EXOCUTICLE AS AN OPTICAL ANALOGUE OF CHOLESTERIC LIQUID CRYSTALS , 1969, Biological reviews of the Cambridge Philosophical Society.

[31]  Jean-Pol Vigneron,et al.  Gold bugs and beyond: a review of iridescence and structural colour mechanisms in beetles (Coleoptera) , 2009, Journal of The Royal Society Interface.

[32]  D. J. Brink,et al.  Structural colours from the feathers of the bird Bostrychia hagedash , 2004 .

[33]  D. Stavenga,et al.  Imaging scatterometry of butterfly wing scales. , 2009, Optics express.

[34]  P. Vukusic,et al.  Experimental method for reliably establishing the refractive index of buprestid beetle exocuticle. , 2007, Optics express.

[35]  P. Vukusic,et al.  Directionally Controlled Fluorescence Emission in Butterflies , 2005, Science.

[36]  Lei Shi,et al.  Iridescence in the neck feathers of domestic pigeons. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[37]  J. Sambles,et al.  Photonic structures in biology , 2003, Nature.

[38]  M. Srinivasarao Nano-Optics in the Biological World: Beetles, Butterflies, Birds, and Moths. , 1999, Chemical reviews.