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Vibrations of strongly degenerated 3D-1D multi-structures: Asymptotic analysis

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Aslanyan A. , Dronka J.

Journal of Mathematics and Applications

2007

tom Vol. 29

53-73

We consider an eigenvalue problem of three-dimensional elasticity for a multi-structure consisting of a finite three-dimensional solid linked with some thin elastic cyliriders. An asyrnptotic method is used to derive the junction conditions and to obtain the skeleton model for the multi-structure. Explicit asymptotic formulae for various types of degeneracy are given.

Optimal period for diffraction gratings recorded in polymer dispersed liquid crystals

100%

Aslanyan A. , Galstyan A.

Opto-Electronics Review

2007

tom Vol. 15, No. 1

66-70

New diffusion model of recording diffraction gratings in the media of PDLC is described in which besides diffusion of monomer molecules also diffusion of polymer molecules and non-locality of diffusion coefficient are taken into account. It lets us to explain why diffraction efficiency is low for low and high values of intensities of grating recording beam. With the considered model, we have theoretically got optimal period for grating recording.