Study on the forming of ionic grating in paraelectric potassium tantalate-niobate crystals at large modulation depths based on the finite element method

Yansheng Song; Jiarong Ji; Wenhua Dou; Changli Wen

doi:10.1117/1.3490421

1 October 2010 Study on the forming of ionic grating in paraelectric potassium tantalate-niobate crystals at large modulation depths based on the finite element method

Yansheng Song, Jiarong Ji, Wenhua Dou, Changli Wen

Author Affiliations +

Optical Engineering, Vol. 49, Issue 10, 105801 (October 2010). https://doi.org/10.1117/1.3490421

Abstract

A solution of the thermal fixing of holographic grating in paraelectric KTa1-xNb_xO₃ crystals based on flex-partial differential equation (FlexPDE) program has been proposed to solve the problem at large modulation depth. The Kukhtarev equations are rigorously solved by the algorithm of finite element method under the existing of nonlinear coupling effect. The distributions and time evolvement curves of space-charge filed, light-excitated electrons, ionized donors, compensating ionic species, and crystal refractive index are presented. The modulation of gratings becomes smaller along the propagating direction of writing beams because of the coupling effect. The simulation agrees well with the experimental result, and indicates that the finite element method is advantageous to reduce the difficulty of solving the Kukhtarev equations, and FlexPDE can display the forming of the fixed holographic grating dynamically on real time, with visualization.

©(2010) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Yansheng Song, Jiarong Ji, Wenhua Dou, and Changli Wen "Study on the forming of ionic grating in paraelectric potassium tantalate-niobate crystals at large modulation depths based on the finite element method," Optical Engineering 49(10), 105801 (1 October 2010). https://doi.org/10.1117/1.3490421

Published: 1 October 2010

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