Modelling Two-Dimensional Photopolymer Patterns Produced with Multiple-Beam Holography

  • Dana Mackey
  • Tsvetanka Babeva
  • Izabela Naydenova
  • Vincent Toal
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 17)


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.


Photonic Crystal Polymer Diffusion Illumination Pattern Short Polymer Chain Photopolymer Material 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Piazzola, S., Jenkins, B.: First-harmonic diffusion model for holographic grating formation in photopolymers. J. Opt. Soc. Am. B 17, 1147–1157 (2000)Google Scholar
  2. 2.
    Zhao, G., Mouroulis, P.: Diffusion model of hologram formation in dry photopolymer materials. J. Mod. Opt. 41, 1929–1939 (1994)Google Scholar
  3. 3.
    Colvin, V.L., Larson, R.G., Harris, A.L. Schilling, M.L.: Quantitative model of volume hologram formation in photopolymers. J. Appl. Phys. 81, 5913–5923 (1997)Google Scholar
  4. 4.
    Martin, S., Naydenova, I., Jallapuram, R., Howard, R. Toal, V.: Two-way diffusion model for the recording mechanism in a self developing dry acrylamide photopolymer. Proc. SPIE, 6252, 62525–625217 (2006)Google Scholar
  5. 5.
    Naydenova, I., Jallapuram, R., Howard, R., Martin, S., Toal, V.: Investigation of the diffusion processes in a self-processing acrylamide-based photopolymer system. Appl. Opt. 43, 2900–2905 (2004)Google Scholar
  6. 6.
    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)Google Scholar
  7. 7.
    Mackey, D., Babeva, T., Naydenova, I. Toal, V.: A diffusion model for spatially dependent photopolymerisation. 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 (2010)Google Scholar
  8. 8.
    Babeva, T., Mackey, D., Naydenova, I., Martin, S., Toal, V.: Study of the photoinduced surface relief modulation in photopolymers caused by illumination with a Gaussian beam of light, J. Optic. 12, 124011 (2010)Google Scholar
  9. 9.
    Escuti, M.J., Crawford, G.P.: Holographic photonic crystals. Opt. Eng. 43(9), 1973–1987 (2004)Google Scholar
  10. 10.
    Cai, L.Z., Yang, X.L. Wang, Y.R.: Formation of a microfiber bundle by interference of three noncoplanar beams, Optic. Lett. 26(23), 1858–1860 (2001)Google Scholar
  11. 11.
    Mao, W., Zhong, Y., Dong, J., Wang, H.: Crystallography of two-dimensional photonic lattices formed by holography of three noncoplanar beams. J. Opt. Soc. Am. B 22(5), 1085–1091 (2005)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Dana Mackey
    • 1
  • Tsvetanka Babeva
    • 2
  • Izabela Naydenova
    • 3
  • Vincent Toal
    • 3
  1. 1.School of Mathematical SciencesDublin Institute of TechnologyDublin 8Ireland
  2. 2.Institute of Optical Materials and TechnologiesBulgarian Academy of SciencesSofiaBulgaria
  3. 3.Centre for Industrial and Engineering OpticsDublin Institute of TechnologyDublinIreland

Personalised recommendations