光学学报, 2007, 27 (1): 148, 网络出版: 2007-01-22   

强外加电场与大调制度下光折变动力学光栅形成研究

Photorefractive Grating Dynamics under Large Modulation and Strong Applied Electric Field
作者单位
中国科学院上海光学精密机械研究所, 上海 201800
摘要
强外加电场与大调制度在光折变效应的研究中已经得到了广泛应用。采用PDECOL算法, 严格求解光折变带输运方程, 得到外加电场时不同调制度下光折变晶体中随时间变化的空间电荷场、载流子浓度, 并讨论了外加电场对它们的影响。通过将物质方程与耦合波方程联立数值求解, 可得到光折变光栅形成过程中两波耦合增益系数以及光束条纹相位的变化。模拟结果表明, 在强外加电场作用下, 两束记录光之间的光强与相位耦合都得到了增强, 而原有的解析式忽视了强外加电场与大调制度对空间电荷场相位耦合的影响, 此时不再适用。同时发现折射率光栅与记录光束条纹均发生弯曲, 并不再保持平行。
Abstract
Strong applied electric field and large modulation have been widely applied in photorefractive effect research. Photorefractive band transport equations are rigorously solved based on the algorithm of general collocation software for partial differential equations (PDECOL). Temporal evolutions of space-charge field and charge carrier density in photorefractive crystal have been achieved under different light modulations, and effects of an applied electric field have also been considered. Material equations and coupled wave equations are jointly solved to get the coupling coefficient and phase shift of light pattern during the dynamic procedure of photorefractive grating formation. It is found that, under strong modulation, the intensity coupling and phase coupling between two recording beams are both markedly enhanced, while the analytic equations, which neglect the effects of strong applied electric field and large light modulation on the coupling of the phase of the space charge filed, are not valid any more. Numerical results also show that both the light pattern and index grating are bent and do not keep parallel.
参考文献

[1] Zhou Yuanlin, Xie Jinghui, Sun Ping et al.. Selective erasure of photorefractive hologram in Fe:LiNO3 by introducing π phase shift on the reference wave[J]. Chin. J. Lasers, 2003, 30(8): 726~730 (in Chinese)
周元林, 谢敬辉, 孙萍 等. LiNbO3晶体中引入π位相差实现选择性擦除[J]. 中国激光, 2003, 30(8): 726~730

[2] Liu Guodong, He Qingsheng, Li Xiaochun et al.. Suppression and influence of photovoltaic DC field on volume hologram[J]. Chin. J. Lasers, 2003, 30(8): 713~716 (in Chinese)
刘国栋, 何庆声, 李晓春 等. 光伏电场对大容量体全息存储的影响与抑制[J]. 中国激光, 2003, 30(8): 713~716

[3] . Breer, K. Buse. Wavelength demultiplexing with volume phase holograms in photorefractive lithium niobate[J]. Appl. Phys. B, 1998, 66(3): 339-345.

[4] Dai Cuixia, Liu Liren, Liu Dean et al.. Improvement of sensitivity and refractive-index changes in holographic recording in doubly doped LiNbO3 with UV light[J]. Acta Optica Sinica, 2005, 25(12): 1600~1605 (in Chinese)
戴翠霞, 刘立人, 刘德安 等. 采用紫外光提高双掺杂铌酸锂晶体中全息记录的灵敏度和光栅强度[J]. 光学学报, 2005, 25(12): 1600~1605

[5] . . Photorefractive grating formulation with any light modulation and excitation: exact and approximate steady-state analytic solutions[J]. J. Opt. Soc. Am. B, 2000, 17(6): 889-897.

[6] . G. Moharam, T. K. Gaylord, R. Magnusson et al.. Holographic grating formation in photorefractive crystals with arbitrary electron transport lengths[J]. J. Appl. Phys., 1979, 50(9): 5642-5651.

[7] . Refregier, L. Solymar, H. Rajbenbach et al.. Two-beam coupling in photorefractive Bi12SiO20 crystals with moving grating: Theory and experiments[J]. J. Appl. Phys., 1985, 58(1): 45-57.

[8] C. H. Kawk, S. Y. Park, J. S. Jeong et al.. An analytical solution for large modulation effects in photorefractive two-wave couplings[J]. Opt. Commun., 1994, 105(5~6): 353~358

[9] . Serrano, V. Lopez, M. Carrascosa et al.. Recording and erasure kinetics in photorefractive materials at large modulation depths[J]. J. Opt. Soc. Am. B, 1994, 11(4): 670-675.

[10] . A. Brost. Photorefractive grating formations at large modulations with alternating electric fields[J]. J. Opt. Soc. Am. B, 1992, 9(8): 1454-1460.

[11] G. A. Brost. Numerical analysis of photorefractive grating formation dynamics at large modulation in BSO[J]. Opt. Commun., 1993, 96(1~3): 113~116

[12] . Serrano, M. Carrascosa, F. Agullo-Lopez. Analytical and numerical study of photorefractive kinetics at high modulation depths[J]. J. Opt. Soc. Am. B, 1996, 13(11): 2587-2594.

[13] Zhou Zhongxiang, Jiang Yongyuan, Sun Xiudong et al.. Perturbative analysis of effect of applied electric field on high-order response of photorefractive effects[J]. Acta Optica Sinca, 1997, 17(6): 710~716 (in Chinese)
周忠祥, 姜永远, 孙秀冬 等. 外加电场对光折变高阶响应影响的微扰分析[J]. 光学学报, 1997, 17(6): 710~716

[14] . Feinberg, D. Heiman, A. R. Tanguay et al.. Photorefractive effects and light-induced charge migration in barium titanate[J]. J. Appl. Phys., 1980, 51(3): 1297-1305.

[15] . K. Madsen, R. F. Sincovec. Algorithm 540: PDECOL, general collocation software for partial differential equations[J]. ACM Trans. Mathematical Software, 1979, 5(3): 326-351.

[16] . H. Ja. Finite element method to solve the nonlinear coupled-wave equations for degenerate two-wave and four-wave mixing[J]. Appl. Opt., 1986, 25(23): 4306-4310.

[17] . Jariego, F. Agulló-López. Monotonic versus oscillatory behaviour during holographic writing in photorefractive photovoltaic materials[J]. Opt. Commun., 1990, 76(2): 169-172.

[18] . Two-wave mixing in nonlinear media[J]. IEEE J. Quant. Electtron., 1989, 25(3): 484-519.

[19] . De Vre, M. Jeganathan, J. P. Wilde et al.. Effect of applied fields on the Bragg condition and the diffraction efficiency in photorefractive crystals[J]. Opt. Lett., 1994, 19(12): 910-912.

[20] . Grunnet-Jepsen, C. L. Thompson, W. E. Moerner. Measurement of the spatial phase shift in high-gain photorefractive materials[J]. Opt. Lett., 1997, 22(12): 874-876.

[21] . A. Freschi, P. M. Garcia, I. Rasnik et al.. Avoiding hologram bending in photorefractive crystals[J]. Opt. Lett., 1996, 21(2): 152-154.

[22] . Tao, Z. H. Song, D. R. Selviah. Bragg-shift of holographic gratings in photorefractive Fe:LiNbO3 crystals[J]. Opt. Commun., 1994, 108(1): 144-152.

[23] Song Jun, Pang Dongqing, He Sailing. Influence of the tilting of the photorefractive hologram grating on wavelength demultiplexer[J]. Chin. J. Lasers, 2004, 31(10): 1217~1221 (in Chinese)
宋军, 庞冬青, 何赛灵. 光折变全息光栅扭曲对波分复用应用的影响[J]. 中国激光, 2004, 31(10): 1217~1221

李大汕, 刘立人, 刘德安, 闫爱民, 栾竹. 强外加电场与大调制度下光折变动力学光栅形成研究[J]. 光学学报, 2007, 27(1): 148. 李大汕, 刘立人, 刘德安, 闫爱民, 栾竹. Photorefractive Grating Dynamics under Large Modulation and Strong Applied Electric Field[J]. Acta Optica Sinica, 2007, 27(1): 148.

本文已被 3 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!