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Applied mathematics, Optics
Periodic structures referred to as photonic crystals attract considerable interest due to their potential applications in areas such as nanotechnology, photonics, plasmonics, etc. Among various techniques used for their fabrication, multiple-beam holography is a promising method enabling defect-free structures to be produced in a single step over large areas.
In this paper we use a mathematical model describing photopolymerisation to simulate two-dimensional structures produced by the interference pattern of three noncoplanar beams. The holographic recording of different lattices is studied by variation of certain parameters such as beam wave vectors, time and intensity of illumination.
Mackey, D., Babeva, T., & Naydenova, I. (2012). Modelling Two-Dimensional Photopolymer Patterns Produced With Multiple-Beam Holography. 16th European Conference on Mathematics for Industry, July 26th-30th, 2010 Wuppertal, Germany. Mathematics in Industry, vol. 17. doi:10.1007/978-3-642-25100-9_43