[en] Local and nonlocal models for the diffusion of photopolymers are applied to the dynamic formation of transmission gratings recorded in photopolymers and holographic polymer-dispersed liquid crystals (H-PDLCs). We retrieve the main parameters of H-PDLCs (refractive-index modulation and diffusion coefficient) by combining a solution of the one-dimensional diffusion equation and the rigorous coupled-wave theory applied to transmission gratings. The rigorous coupled-wave theory method provides us with information on higher harmonics of the refractive profile (not only on the first harmonic as when the classical Kogelnik theory is applied). Measurements concerning the second harmonic validate the modeling. (C) 2004 Optical Society of America.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Massenot, S.; Ecole Nationale Supérieure des Télécommunications de Bretagne - Brest > Optics Dpt
Kaiser, Jean Luc; Ecole Nationale Supérieure des Télécommunications de Bretagne - Brest > Optics Dpt
Chevallier, Raymond; Ecole Nationale Supérieure des Télécommunications de Bretagne - Brest - France > Optics Dpt
Renotte, Yvon ; Université de Liège - ULiège > Département de physique > Département de physique
Language :
English
Title :
Study of the dynamic formation of transmission gratings recorded in photopolymers and holographic polymer-dispersed liquid crystals
Publication date :
10 October 2004
Journal title :
Applied Optics
ISSN :
0003-6935
Publisher :
Optical Soc Amer, Washington, United States - Washington
G. Zhao and P. Mouroulis, "Diffusion model of hologram formation in dry photopolymer materials," J. Mod. Opt. 41, 1929-1939 (1994).
J. T. Sheridan and J. R. Lawrence, "Nonlocal-response diffusion model of holographic recording in photopolymer," J. Opt. Soc. Am. A 17, 1108-1114 (2000).
V. Moreau, Y. Renotte, and Y. Lion, "Characterization of Du-Font photopolymer: determination of kinetic parameters in a diffusion model," Appl. Opt. 41, 3427-3435 (2002).
G. Zhao and P. Mouroulis, "Second order grating formation in dry holographic photopolymers," Opt. Commun. 115, 528-632 (1995).
J. L. Kaiser, G. P. Crawford, R. Chevallier, and J. L. de Bougrenet de la Tocnaye, "Chirped switchable reflection grating in holographic PDLC for wavelength management and processing in optical communication systems," Appl. Opt. (to be published).
M. J. Escuti, J. Qi, and G. P. Crawford, "Tunable face-centered-cubic photonic crystal formed in holographic polymer dispersed liquid crystals," Opt. Lett. 28, 522-524 (2003).
C. C. Bowley and G. P. Crawford, "Diffusion kinetics of formation of holographic polymer-dispersed liquid crystal display, materials," Appl. Phys. Lett. 76, 2235-2237 (2000).
S.-D. Wu and E. Glytsis, "Holographic grating formation in photopolymers: analysis and experimental results based on a nonlocal diffusion model and rigorous coupled-wave analysis," J. Opt. Soc. Am. B 20, 1177-1188 (2003).
W. H. Press, S. A. Teutolsky, and W. T. Vetterling, Numerical Recipes in C: The Art of Scientific Computing, 2nd ed. (Cambridge U. Press, Cambridge, UK, 1992).
H. Kogelnik, "Coupled wave theory for thick hologram gratings, " Bell Syst. Tech. J. 48, 2909-2947 (1969).
M. G. Moharam and T. K. Gaylord, "Three-dimensional vector coupled-wave analysis of planar grating diffraction," J. Opt. Soc. Am. A 73, 1105-1112 (1983).
M. G. Moharam, E. B. Grann, D. A. Pommet, and T. K. Gaylord, "Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings," J. Opt. Soc. Am. A 12, 1068-1076 (1995).
F. T. O'Neill, J. R. Lawrence, and J. T. Sheridan, "Comparison of holographic photopolymer materials by use of analytic nonlocal diffusion models," Appl. Opt. 41, 845-852 (2002).
M. De Sarkar, J. Qi, and G. P. Crawford, "Influence of partial matrix fluorination on morphology and performance of HPDLC transmission gratings," Polymer 43, 7335-7344 (2002).