Material‐Constrained Optimization of Liquid Crystal‐Based Holograms

Author:

Ropač Peter12ORCID,Hsiao Yu‐Tung3ORCID,Berteloot Brecht3ORCID,Ravnik Miha124ORCID,Beeckman Jeroen3ORCID

Affiliation:

1. Faculty of Mathematics and Physics University of Ljubljana Jadranska ulica 19 Ljubljana 1000 Slovenia

2. Jožef Stefan Institute Jamova cesta 39 Ljubljana 1000 Slovenia

3. ELIS Department Ghent University Technologiepark‐Zwijnaarde 126 Ghent 9052 Belgium

4. International Institute for Sustainability with Knotted Chiral Meta Matter 2‐313 Kagamiyama Hiroshima 739‐0046 Japan

Abstract

AbstractA novel material‐constrained method for the design of liquid crystal optical devices – computer‐generated liquid crystal‐based holograms – and their manufacture using photo‐patterning is demonstrated. The developed topology optimization method is compared to the Gerchberg‐Saxton algorithm, and key advantages and disadvantages are outlined. The key novelties and advantages of the method are that it accounts for the natural relaxation and material properties of the liquid crystal and that it can account for different material or manufacturing constraints, such as maximum optical axis gradients. The viability of the method is applied for different binary and greyscale target images of varying complexity, target image sizes, and algorithms that account for the material properties of the liquid crystal. Finally, with the topology optimization design approach and photo‐patterning, it is possible to produce high‐accuracy and high‐contrast liquid crystal‐based computer‐generated holograms.

Funder

Javna Agencija za Raziskovalno Dejavnost RS

H2020 European Research Council

Publisher

Wiley

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