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Sum decomposition of Mueller-matrix images and spectra of beetle cuticles
Linköping University, Department of Physics, Chemistry and Biology, Applied Optics . Linköping University, The Institute of Technology.ORCID iD: 0000-0001-9229-2028
Linköping University, Department of Physics, Chemistry and Biology, Applied Optics . Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-6371-0638
Laboratoire des Physique des Interfaces et Couches Minces, Ecole Polytechnique, CNRS, France.
Bioaxial SAS, 40 rue de Paradis, France.
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2015 (English)In: Optics Express, ISSN 1094-4087, Vol. 23, no 3, 1951-1966 p.Article in journal (Refereed) Published
Abstract [en]

Spectral Mueller matrices measured at multiple angles of incidence as well as Mueller matrix images are recorded on the exoskeletons (cuticles) of the scarab beetles Cetonia aurata and Chrysina argenteola. Cetonia aurata is green whereas Chrysina argenteola is gold-colored. When illuminated with natural (unpolarized) light, both species reflect left-handed and near-circularly polarized light originating from helicoidal structures in their cuticles. These structures are referred to as circular Bragg reflectors. For both species the Mueller matrices are found to be nondiagonal depolarizers. The matrices are Cloude decomposed to a sum of non-depolarizing matrices and it is found that the cuticle optical response, in a first approximation can be described as a sum of Mueller matrices from an ideal mirror and an ideal circular polarizer with relative weights determined by the eigenvalues of the covariance matrices of the measured Mueller matrices. The spectral and image decompositions are consistent with each other. A regression-based decomposition of the spectral and image Mueller matrices is also presented whereby the basic optical components are assumed to be a mirror and a circular polarizer as suggested by the Cloude decomposition. The advantage with a regression decomposition compared to a Cloude decomposition is its better stability as the matrices in the decomposition are determined a priori. The origin of the depolarizing features are discussed but from present data it is not possible to conclude whether the two major components, the mirror and the circular polarizer are laterally separated in domains in the cuticle or if the depolarization originates from the intrinsic properties of the helicoidal structure.

Place, publisher, year, edition, pages
Optical Society of America, 2015. Vol. 23, no 3, 1951-1966 p.
National Category
Physical Sciences
URN: urn:nbn:se:liu:diva-111944DOI: 10.1364/OE.23.001951ISI: 000349688800025OAI: diva2:762257
Available from: 2014-11-11 Created: 2014-11-11 Last updated: 2015-09-22Bibliographically approved
In thesis
1. Mueller matrix ellipsometry studies of nanostructured materials
Open this publication in new window or tab >>Mueller matrix ellipsometry studies of nanostructured materials
2014 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Materials can be tailored on the nano-scale to show properties that cannot be found in bulk materials. Often these properties reveal themselves when electromagnetic radiation, e.g. light, interacts with the material. Numerous examples of such types of materials are found in nature. There are for example many insects and birds with exoskeletons or feathers that reflect light in special ways. Of special interest in this work is the scarab beetle Cetonia aurata which has served as inspiration to develop advanced nanostructures due to its ability to turn unpolarized light into almost completely circularly polarized light. The objectives of this thesis are to design and characterize bioinspired nanostructures and to develop optical methodology for their analysis.

Mueller-matrix ellipsometry has been used to extract optical and structural properties of nanostructured materials. Mueller-matrix ellipsometry is an excellent tool for studying the interaction between nanostructures and light. It is a non-destructive method and provides a complete description of the polarizing properties of a sample and allows for determination of structural parameters.

Three types of nanostructures have been studied. The rst is an array of carbon nanobers grown on a conducting substrate. Detailed information on physical symmetries and band structure of the material were determined. Furthermore, changes in its optical properties when the individual nanobers were electromechanically bent to alter the periodicity of the photonic crystal were studied. The second type of nanostructure studied is bioinspired lms with nanospirals of InxAl1–xN which reflect light with a high degree of circular polarization in a narrow spectral band. These nanostructures were grown under controlled conditions to form columnar structures with an internally graded refractive index responsible for the ability to reflect circularly polarized light. Finally, angle-dependent Mueller matrices were recorded of natural nanostructures in C. aurata with the objective to refine the methodology for structural analysis. A Cloude sum decomposition was applied and a more stable regression-based decomposition was developed for deepened analysis of these depolarizing Mueller matrices. It was found that reflection at near-normal incidence from C. aurata can be described as a sum reflection o a mirror and a left-handed circular polarizer. At oblique incidence the description becomes more complex and involves additional optical components.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2014. 46 p.
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 1631
National Category
Physical Sciences
urn:nbn:se:liu:diva-111947 (URN)10.3384/diss.diva-111947 (DOI)978-91-7519-200-0 (print) (ISBN)
Public defence
2014-12-12, Planck, Fysikhuset, Campus Valla, Linköpings universitet, Linköping, 09:15 (English)
Available from: 2014-11-11 Created: 2014-11-11 Last updated: 2015-09-22Bibliographically approved

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