Two-way diffusion model for short-exposure holographic grating formation in acrylamide-based photopolymer

Babeva, Tsvetanka; Naydenova, Izabela; Mackey, Dana; Martin, Suzanne; Toal, Vincent

doi:10.1364/josab.27.000197

Cited by 56 publications

(42 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One of the key factors that affects the dynamics of holographic recording in photopolymer materials is the ratio of the rate of polymerisation to the rate of diffusion in the material, which is a high interest research area, and various theories have been proposed to explain this relationship [12][13][14][15][16][17][18][19][20][21][22][23].…”

Section: Theorymentioning

confidence: 99%

See 1 more Smart Citation

Determination of the polymerisation rate of a low-toxicity diacetone acrylamide-based holographic photopolymer using Raman spectroscopy

Cody¹,

Mihaylova²,

O’Neill³

et al. 2015

Optical Materials

View full text Add to dashboard Cite

. (2016). Determination of the polymerisation rate of a low-toxicity diacetone acrylamidebased holographic photopolymer using Raman spectroscopy. Optical Materials, vol. 48, Oct. 2015, pp. 12-17. doi.org/10.1016/ j.optmat.2015 Determination of the polymerisation rate of a low-toxicity diacetone acrylamide-based holographic photopolymer using Raman spectroscopy t r a c tThe polymerisation rate of a low-toxicity Diacetone Acrylamide (DA)-based photopolymer has been measured for the first time using Raman spectroscopy. A value for the polymerisation rate of 0.020 s À1 has been obtained for the DA photopolymer by modelling the polymerisation reaction dynamics as a stretched exponential or Kohlrausch decay function. This is significantly lower than the polymerisation rate of 0.100 s À1 measured for the well known Acrylamide (AA)-based photopolymer composition. The effect of the additive glycerol on the polymerisation rate of the DA-based photopolymer has also been investigated. The inclusion of glycerol is observed to increase the rate of polymerisation of the DA photopolymer by up to 60%. It is also observed that the polymerisation rate of the DA photopolymer is less dependent on the recording intensity when glycerol is present.

show abstract

Section: Theorymentioning

confidence: 99%

“…It was then fully developed as a mathematical model by Babeva et al [14]. During holographic recording, the monomer molecules diffuse into and within the illuminated regions, encounter a free radical, and become polymerised.…”

Section: Theorymentioning

confidence: 99%

Determination of the polymerisation rate of a low-toxicity diacetone acrylamide-based holographic photopolymer using Raman spectroscopy

Cody¹,

Mihaylova²,

O’Neill³

et al. 2015

Optical Materials

View full text Add to dashboard Cite

show abstract

“…The model proposed in [7], [6] takes into account monomer and polymer diffusion, creation of short polymer chains and introduces a simple "immobilization" mecha-nism which mimics the growth of polymer chains to the extent where they cannot diffuse any longer. This diffusion-polymerisation model consists of partial differential equations for three unknown functions which represent the concentrations of monomer, m, short polymer chains, p 1 and long polymer chains, p 2 , which is easily generalised to two dimensions.…”

Section: Two-dimensional Diffusion-polymerisation Modelmentioning

confidence: 99%

“…Here D m is the monomer diffusion constant and, as justified in [6], we assume that the short polymer diffusion coefficient, as well as the polymerization rate are proportional to the illumination, D(x, y) = D p I(x, y) and F(x, y) = F 0 I(x, y), where I(x, y) is given by (2) and F 0 is the polymerization constant. We assume the initial conditions are given by m(x, 0) = m 0 and p 1 (x, 0) = p 2 (x, 0) = 0.…”

Section: Two-dimensional Diffusion-polymerisation Modelmentioning

confidence: 99%

“…A two-way diffusion theory was proposed in [4] and [5] and states that the counter diffusion of short-chain polymer molecules away from the bright fringes is responsible for the reduction in diffraction efficiency. To verify this assumption, a new mathematical model for the formation of a weak grating after short exposure times was proposed in [6], [7]. This model accounts for both monomer and polymer diffusion and moreover distinguishes between short polymer chains capable of diffusing and long polymer chains that are immobile.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Mackey¹,

Babeva

Naydenova³

et al. 2012

Mathematics in Industry

Self Cite

View full text Add to dashboard Cite

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, multiplebeam 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.

show abstract

Design concepts for diffusive holographic photopolymers

Kowalski

McLeod

2016

J Polym Sci B Polym Phys

View full text Add to dashboard Cite

Diffusive photopolymers are an area of intense recent materials development, spurred by interest in holographic data storage, display holography, and custom diffractive optical elements, among other applications. This review examines a range of photopolymer formulations of academic and commercial interest, and places their design strategies in context via quantitative analysis of the recording fidelity, maximum refractive index change and the degree to which they achieve this limit. Finally, this analysis is extended to estimate the scope of achievable future performance improvements. © 2016 Wiley Periodicals, Inc. J. Polym. Sci., Part B: Polym. Phys. 2016, 54, 1021–1035.

show abstract

Two-way diffusion model for short-exposure holographic grating formation in acrylamide-based photopolymer

Cited by 56 publications

References 27 publications

Determination of the polymerisation rate of a low-toxicity diacetone acrylamide-based holographic photopolymer using Raman spectroscopy

Determination of the polymerisation rate of a low-toxicity diacetone acrylamide-based holographic photopolymer using Raman spectroscopy

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

Design concepts for diffusive holographic photopolymers

Contact Info

Product

Resources

About