Application of planar chirality to nanophotonics, astronomy and image analysis
Application of planar chirality to nanophotonics, astronomy and image analysis
The concept of geometrical chirality has been improved introducing a unit of planar chirality and dedicated normalisation factors which facilitate the anal- ysis of various complex chiral objects. On the basis of these improvements a highly efficient Monte Carlo computer algorithm for calculation of the planar chirality measure has been developed. I have investigated the planar chirality of characteristic planar chiral objects such as triangles, gammadions and round gammadions and established the con- figurations for various parameter fields for which their chirality is maximised. For the first time I have explored the aggregated chirality of ensembles of 2, 3 and more planar chiral structures including their regular grids. The chirality of ensembles is found to be a strong function of the mutual positions of the individual elements to an extent that the ensemble chirality can change its sign. It has furthermore been established that the chirality of regular square grids may be nonzero when constituting of achiral objects. For the first time I have investigated the chirality and rotational and mirror symmetries of diffraction field patterns and microscopic images created by different enantiomeric forms of various planar chiral structures. I have established that the chirality of the diffraction patterns is inherited from the chiral object itself while the rotational symmetries are lower than in the underlying design. For the first time a geometrical chirality measure has been applied to quan- tify the geometry of star distributions in 113 nearby galaxies. A quantitative parameter has been suggested for classification of galaxies which is based on the chirality measure.
University of Southampton
Schwanecke, Alexander Sven
a374eb56-ff43-4e6c-ae23-d7a904b09a65
2004
Schwanecke, Alexander Sven
a374eb56-ff43-4e6c-ae23-d7a904b09a65
Schwanecke, Alexander Sven
(2004)
Application of planar chirality to nanophotonics, astronomy and image analysis.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
The concept of geometrical chirality has been improved introducing a unit of planar chirality and dedicated normalisation factors which facilitate the anal- ysis of various complex chiral objects. On the basis of these improvements a highly efficient Monte Carlo computer algorithm for calculation of the planar chirality measure has been developed. I have investigated the planar chirality of characteristic planar chiral objects such as triangles, gammadions and round gammadions and established the con- figurations for various parameter fields for which their chirality is maximised. For the first time I have explored the aggregated chirality of ensembles of 2, 3 and more planar chiral structures including their regular grids. The chirality of ensembles is found to be a strong function of the mutual positions of the individual elements to an extent that the ensemble chirality can change its sign. It has furthermore been established that the chirality of regular square grids may be nonzero when constituting of achiral objects. For the first time I have investigated the chirality and rotational and mirror symmetries of diffraction field patterns and microscopic images created by different enantiomeric forms of various planar chiral structures. I have established that the chirality of the diffraction patterns is inherited from the chiral object itself while the rotational symmetries are lower than in the underlying design. For the first time a geometrical chirality measure has been applied to quan- tify the geometry of star distributions in 113 nearby galaxies. A quantitative parameter has been suggested for classification of galaxies which is based on the chirality measure.
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Published date: 2004
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Local EPrints ID: 465485
URI: http://eprints.soton.ac.uk/id/eprint/465485
PURE UUID: 9010a840-059e-4621-9d66-4adf6576f49c
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Date deposited: 05 Jul 2022 01:22
Last modified: 16 Mar 2024 20:12
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Author:
Alexander Sven Schwanecke
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