We present an analytical model of dynamics of three spatial harmonics of 2D spatial grating profiles with taking into consideration both record mechanisms (polymerization and components diffusion, absorption, interference pattern contrast. On the base of numerical simulation we examined an influence of these parameters on 2D spatial profile along grating vector and along thickness of a film.
Effects of spatiotemporal transformation of grating shape at nonlinear holographic recording in absorbent photopolymer have been investigated. We present an analytical model of dynamics of (N+1) spatial harmonics of spatial grating profiles with taking into consideration both record mechanisms (polymerization and components diffusion), absorption, interference pattern contrast and optional photopolymerization nonlinearity. Also we take into consideration so called additional gratings (AG) formed as a result of two waves mixing. On the base of numerical simulation we examined an influence of the material and record parameters on 2D spatial profiles of gratings.
In the work we suppose a mathematical model of 3-dimensional grating spatial profile formation in photopolymer material with light induced optical absorption at polymerization-diffusion processes of holographic recording of transmitted chirped grating. The model is based on kinetics equations of photopolymerisation and diffusion for the zero and the first spatial harmonics of refraction index grating. We have obtained analytical solution of the kinetics equations
describing the process of grating profiles transformation during the recording process. The main point of the numerical calculation presented in the paper was examination the possibilities to compensate the non uniformity of the chirped gratings profiles with the help of amplitude profiles of recording beams.
In this work the theoretical study of pulse string construction of holographic gratings in photopolymeric materials with light-induced optical attenuation has been carried out. The analytical model describing spatial-temporal transformation of holographic grating field during construction process is developed. The model has a view of recurrence relation and takes into consideration light-induced changing of optical attenuation and diffusion process. The results of numerical simulation on the base of the model are presented and include analysis of record stage, self-amplification stage and whole pulse string construction. The behavior of spatial profile and diffraction characteristics of constructed gratings are estimated with the help of numerical simulation. Fitting experiment and theoretical data has been made.
The researched photopolymer was made in Institute of Organic Chemistry of the Siberian Separation of the Russian Academy of Sciences (Novosibirsk).
In this paper we present the model of record of 3-dimensional transmission and reflection gratings for 0.3<k<1 (k - exponent of intensity in photopolymerization equations) in photopolymers with a dye sensitizer. The numerical simulation of kinetics of transmission and reflection gratings record in this kind of photopolymers and its diffraction performances for optional value of k and contrast are carried out on the base of the model. The model also takes into consideration the following factors: polymerization and diffusion mechanisms of record, optical absorption, contrast of interference pattern, change of diffusion coefficients during record according polymerization level.
We present an analytical model of dynamics of three spatial harmonics of 2D spatial grating profiles with taking into consideration both record mechanisms (polymerization and components diffusion), absorption, interference pattern contrast. On the base of numerical simulation we examined an influence of these parameters on 2D spatial profile along grating vector and along thickness of a film
In this work the theoretical study of pulse string construction of holographic gratings in photopolymeric materials with light-induced optical attenuation has been carried out. The analytical model describing a spatial-temporal transformation of holographic grating field during construction process is developed. The model has a view of recurrence relation and takes into consideration light-induced changing of optical attenutation and diffusion processes. The results of numerical simulation on the base of the model are presented and include analysis of record stage, self-amplification stage and whole pulse string construction. The behavior of spatial profile and diffraction characteristics of constructed gratings are estimated with the help of numerical simulation. For calculation of selective properties we used perturbation technique.
In this work the theoretical study of pulse string construction of holographic gratings in photopolymeric materials with light-induced optical attenuation has been carried out. The analytical model describing spatial-temporal transformation of holographic grating field during construction process is developed. The model has a view of recurrence relation and takes into consideration light-induced changing of optical attenuation and diffusion processes. The results of numerical simulation on the base of the model are presented and include analysis of record stage, self-amplification stage and whole pulse string construction. The behavior of spatial profile and diffraction characteristics of constructed gratings are estimated with the help of numerical simulation. Fitting experiment and theoretical data has been made. The researched photopolymer was made in Institute of Organic Chemistry of the Siberian Separation of a Russian Academy of Sciences (Novosibirsk).
In this work the results of experimental investigations of holographic grating formation in photopolymer HPPM-633 are presented. On the base of fitting of experimental dependence of kinetics of diffraction efficiency with the theoretical one the photopolymer parameters are determined and presented. The photopolymer parameters such as diffusion coefficient and rate of their changing, optical absorption coefficient and rate of their changing, polymerization time, parameters defining contribution of photopolymerization and diffusion in change of refraction index, have been determined for other samples of photopolymer. On the base of model and numerical simulation it has been shown influence of experimental record conditions on diffraction efficiency, optimal record time, angle and wavelength selectivity of photopolymer gratings. The results obtained enable to define the optimal record time and direction of modification of photopolymer composition and external record parameters for achievement of diffraction characteristics predefined.
In this work the theoretical study of record of holographic gratings of transmitted and reflection type in photopolymeric materials with optical attenuation has been carried out. The analytical model describing spatial-temporal transformation of holographic grating field during record is developed. The model takes into consideration light-induced changing of optical attenuation. The results of numerical simulation on the base of the model are presented.
In this work we created analytical model of dynamics of nonlinear process of recording and reading the hologram in photopolymer media taking into account photoinduced absorption of photopolymer. The analytical model is based on the equations Lorentz-Lorenz and relations of the theory photopolymerization. Photoinduced absorption has been described with the help of the logarithmic function on the base of experimental data. Then experiments investigation was conducted. The record of the holograms was conducted under convergence angle 300 between laser beams. The data of experiment and the analytical model have allowed determining basic physical parameters of photopolymers. The researched photopolymer was made in Institute of Organic Chemistry of the Siberian Separation of a Russian Academy of Sciences (Novosibirsk).
In this work the theoretical study of record and postexpositional amplification of holographic gratings in photopolymeric materials with light-induced optical attenuation has been carried out. The analytical model describing spatial-temporal transformation of holographic grating field during record and postexpositional amplification is developed. The model takes into consideration light-induced changing of optical attenuation and diffusion processes. Light-induced optical attentuation has been described with the help of the logarithmic function on the base of experimental data. The results of numerical simulation on the base of the model are presented. The basic physical parameters of photopolymers have been described with the help of the experimental data and the analytical model.
The researched photopolymer was made in Institute of Organic Chemistry of the Siberian Separation of a Russian Academy of Sciences (Novosibirsk).
In this work we experimentally investigated dynamics of nonlinear process of record and reading of the hologram in photopolymer having photoinduced changing absorption. The record of the holograms was conducted under different angles between laser beams. The data of experiemnt have allowed to receive basic physical parameters of photopolymers on the base of the analytical model of recording processes. The researched photopolymer was made in Institute of Organic Chemistry of the Siberian Separation of a Russian Academy of Sciences.
In this work we created analytical model of dynamics of nonlinear process of record and reading of the hologram in photopolymer taking into account photoinduced absorption of photopolymer. The anlytical model is based on the equations Lorentz-Lorenz and relations of the theory photopolymerization. Photoinduced absorption has been described with the help of the logarithmic function on the base of experimental data
In this work we experimentally investigated dynamics of nonlinear process of record and reading of the hologram in photopolymer to a Gaussian beams of light. The analytical model of dynamics of record is based on the equations Lorentz- Lorenz and relations of the theory photopolymerization. The record of the holograms was conducted under different corners between bundles of light. The data of experiment have allowed to receive basic physical parameters of analytical model of a record of the holograms in photopolymer: characteristic time of polymerization, time of discussion and coefficient of monomer diffusion. The researched photopolymer was made in Institute of Organic Chemistry of the Siberian Separation of a Russian Academy of Sciences (Novosibirsk).
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