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2016 | Supplement | Chapter

Optimising Copying Accuracy in Holographic Patterning

Authors : Dana Mackey, Paul O’Reilly, Izabela Naydenova

Published in: Progress in Industrial Mathematics at ECMI 2014

Publisher: Springer International Publishing

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Abstract

We propose a partial differential equations model for the formation and evolution of a holographic grating in a photopolymer system and use perturbation methods and numerical simulations in order to investigate the dynamical mechanism by which distortions of the illumination pattern arise during recording. The parameters of interest are diffusion and photopolymerization rates as well as exposure time, for which we seek to determine regimes which allow for high fidelity copying.

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Literature
1.
go back to reference Babeva, T., Naydenova, I., Mackey, D., Martin, S., Toal, V.: Two-way diffusion model for short exposure holographic grating, formation in acrylamide based photopolymers. J. Opt. Soc. Am. B 27(2), 197–203 (2010)CrossRef Babeva, T., Naydenova, I., Mackey, D., Martin, S., Toal, V.: Two-way diffusion model for short exposure holographic grating, formation in acrylamide based photopolymers. J. Opt. Soc. Am. B 27(2), 197–203 (2010)CrossRef
2.
go back to reference Mackey, D., Babeva, T., Naydenova, I., Toal, V., Babeva, T., Naydenova, I., Toal, V.: A diffusion model for spatially dependent photopolymerization. In: Fitt, A.D., Norbury, J., Ockendon, H., Wilson, E. (eds.) Progress in Industrial Mathematics at ECMI 2008. Mathematics in Industry, vol. 15, pp. 253–259. Springer, Berlin, Heidelberg, New York (2010)CrossRef Mackey, D., Babeva, T., Naydenova, I., Toal, V., Babeva, T., Naydenova, I., Toal, V.: A diffusion model for spatially dependent photopolymerization. In: Fitt, A.D., Norbury, J., Ockendon, H., Wilson, E. (eds.) Progress in Industrial Mathematics at ECMI 2008. Mathematics in Industry, vol. 15, pp. 253–259. Springer, Berlin, Heidelberg, New York (2010)CrossRef
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go back to reference Zhao, G., Mouroulis, P.: Diffusion model of hologram formation in dry photopolymer materials. J. Mod. Opt. 41, 1929–1939 (1994)CrossRef Zhao, G., Mouroulis, P.: Diffusion model of hologram formation in dry photopolymer materials. J. Mod. Opt. 41, 1929–1939 (1994)CrossRef
Metadata
Title
Optimising Copying Accuracy in Holographic Patterning
Authors
Dana Mackey
Paul O’Reilly
Izabela Naydenova
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-23413-7_38

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