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提出具有高群有效折射率的双环级联作为核心元件的谐振式平面光波导陀螺结构, 基于光学Sagnac原理得到了双微环耦合谐振式光学陀螺理论灵敏度与群有效折射率的一般表达式和双环与单环陀螺系统的灵敏度关系, 并由耦合模理论方法得到了双环系统耦合器的两个透射系数对应的群有效折射率变化情况. 在环腔半径R1=R2=100 μm、环腔传输损耗系数t1=t2=0.95的情况下, 针对环与环之间耦合器和环与波导之间耦合器透射系数对群有效折射率的不同影响, 得到了最大群有效折射率的产生条件. 采用文中参数(R=100 μm, t=0.95)计算的单环谐振式陀螺灵敏度为(104-105)°/h, 而双环级联谐振系统理论灵敏度能够达到10 °/h. 该研究对微环耦合谐振腔在角速度检测上的应用有重要的意义.In order to optimize the performance of the coupled resonator optical waveguide (CROW) gyroscope, a well-designed structure by optimizing the ring number and the transmission coefficient of the coupler is used as the core component of the planar waveguide optical gyroscope. The structure with double coupled ring resonator may possess large effective group refractive index to enhance angular sensing sensitivity was proposed. The concept of the Sagnac effect in this new double coupled ring resonator structure with a large effective group refractive index is investigated, it’s found that the rotation-induced phase shift is proportional to the effective group refractive index. On the basis of this effect, we calculate the general relation expression of theoretical rotation sensitivity and the effective group refractive index for this two-ring bidirectional CROW gyroscope by numerically simulation. Based on the relation, the phase shift characteristics of double coupled ring resonator and single ring resonator was analyzed. And the changing characteristics of the transmission coefficient of the couplers and the effective group refractive index was discussed based on the double cascaded ring resonator coupling mode theory. In the case of R1=R2=100 μm and ring transmission loss coefficient t1=t2=0.95, the generating condition of the largest effective group refractive index was obtained, according to the different effects of the couplers between rings and waveguide on the effective group refractive index. By using the parameters of R=100 μm and t=0.95, the sensitivity of a single ring resonator gyroscope is (104-105) °/h, and the sensitivity of double coupled ring resonator gyroscope can reach to 10 °/h. In summary, we show that the theoretical sensitivity of the double coupled ring gyroscope and single ring gyroscope are comparable when both have the same parameters. Using numerical and analytical methods, we demonstrated that coupling multiple resonators together can enhance rotation sensitivity. This research is important for applications of coupled ring resonator in optical angular velocity detection, and a promising regime to realize highly compact optical gyroscope.
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Keywords:
- resonator optical gyroscope /
- effective group refractive index /
- double coupled ring /
- transmission coefficient
[1] Yu H Y, Zhang C X, Feng L S, Zhou Z, Hong L F 2009 Chin. Phys. Lett. 26 054210
[2] Guo Z B, Tang J, Liu J, Wang M H, Shang C L, Lei L H, Xue C Y, Zhang W D, Yan S B 2014 Acta Phys. Sin. 63 227802 (in Chinese) [郭泽彬, 唐军, 刘俊, 王明焕, 商成龙, 雷龙海, 薛晨阳, 张文栋, 闫树斌 2014 63 227802]
[3] Chang X 2013 M. S. Dissertation (Hangzhou: Zhejiang University) (in Chinese) [常旭 2013 硕士学位论文 (杭州: 浙江大学)]
[4] Yan Y Z, Ji Z, Wang B H, Yan S B, Xiong J J, Ma J 2010 Chin. J. Lasers 37 1789 (in Chinese) [严英占, 吉喆, 王宝花, 闫树斌, 熊继军, 马骏 2010 中国激光 37 1789]
[5] Wei W 2007 Ph. D. Dissertation (Hefei: University of Science and Technology of China) (in Chinese) [尉伟 2007 博士学位论文 (合肥: 中国科学技术大学)]
[6] Ciminelli C, Dell’Olio F, Armenise M N, Soares F M, Passenberg W 2013 Opt. Express 21 556
[7] Huang Q Z, Yu J Z, Chen S W, Xu X J, Han W H, Fan Z C 2008 Chin. Phys. B 17 2562
[8] Feng L S, Wang J J, Zhi Y Z, Tang Y C, Wang Q W, Li H C, Wang W 2014 Opt. Express 22 27565
[9] Sanders G A, Prentiss M G, Ezekiel S 1981 Opt. Lett. 6 569
[10] Ezekiel S, Balsamo S R 1977 App. Phys. Lett. 30 478
[11] Jiang W C, Zhang J, Lin Q 2014 Opt. Express 22 1187
[12] Scheuer J, Yariv A 2006 Phys. Rev. Lett. 96 053901
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[14] Tian H, Sun W M, Zhang Y D 2013 Acta Phys. Sin. 62 194204 (in Chinese) [田赫, 孙伟民, 掌蕴东 2013 62 194204]
[15] Peng C, Li Z, Xu A 2007 Appl. Opt. 46 4125
[16] Zhang Y, Wang N, Tian H, Wang H, Qiu W, Wang J F, Yuan P 2008 Phys. Lett. A 372 5848
[17] Kalantarov D, Search C P 2013 J. Opt. Soc. Am. B 30 377
[18] Smith D D, Chang H R, Fuller K A 2003 J. Opt. Soc. Am. B 20 9
[19] Poon J K S, Scheuer J, Mookherjea S, Paloczi G T, Huang Y Y, Yariv A 2004 Opt. Express 12 90
[20] Wang Y 2013 M. S. Dissertation ( Harbin: Harbin Institute of Technology) (in Chinese) [王莹 2013 硕士学位论文 (哈尔滨: 哈尔滨工业大学)]
[21] Cui D F, Xie C F, Liu Y Y, Li Y N, Wei L P, Wang Y H, Liu J, Xue C Y 2014 Opt. Commun. 324 296
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[1] Yu H Y, Zhang C X, Feng L S, Zhou Z, Hong L F 2009 Chin. Phys. Lett. 26 054210
[2] Guo Z B, Tang J, Liu J, Wang M H, Shang C L, Lei L H, Xue C Y, Zhang W D, Yan S B 2014 Acta Phys. Sin. 63 227802 (in Chinese) [郭泽彬, 唐军, 刘俊, 王明焕, 商成龙, 雷龙海, 薛晨阳, 张文栋, 闫树斌 2014 63 227802]
[3] Chang X 2013 M. S. Dissertation (Hangzhou: Zhejiang University) (in Chinese) [常旭 2013 硕士学位论文 (杭州: 浙江大学)]
[4] Yan Y Z, Ji Z, Wang B H, Yan S B, Xiong J J, Ma J 2010 Chin. J. Lasers 37 1789 (in Chinese) [严英占, 吉喆, 王宝花, 闫树斌, 熊继军, 马骏 2010 中国激光 37 1789]
[5] Wei W 2007 Ph. D. Dissertation (Hefei: University of Science and Technology of China) (in Chinese) [尉伟 2007 博士学位论文 (合肥: 中国科学技术大学)]
[6] Ciminelli C, Dell’Olio F, Armenise M N, Soares F M, Passenberg W 2013 Opt. Express 21 556
[7] Huang Q Z, Yu J Z, Chen S W, Xu X J, Han W H, Fan Z C 2008 Chin. Phys. B 17 2562
[8] Feng L S, Wang J J, Zhi Y Z, Tang Y C, Wang Q W, Li H C, Wang W 2014 Opt. Express 22 27565
[9] Sanders G A, Prentiss M G, Ezekiel S 1981 Opt. Lett. 6 569
[10] Ezekiel S, Balsamo S R 1977 App. Phys. Lett. 30 478
[11] Jiang W C, Zhang J, Lin Q 2014 Opt. Express 22 1187
[12] Scheuer J, Yariv A 2006 Phys. Rev. Lett. 96 053901
[13] Sorrentino C, Toland J R, Search C P 2012 Opt. Express 20 354
[14] Tian H, Sun W M, Zhang Y D 2013 Acta Phys. Sin. 62 194204 (in Chinese) [田赫, 孙伟民, 掌蕴东 2013 62 194204]
[15] Peng C, Li Z, Xu A 2007 Appl. Opt. 46 4125
[16] Zhang Y, Wang N, Tian H, Wang H, Qiu W, Wang J F, Yuan P 2008 Phys. Lett. A 372 5848
[17] Kalantarov D, Search C P 2013 J. Opt. Soc. Am. B 30 377
[18] Smith D D, Chang H R, Fuller K A 2003 J. Opt. Soc. Am. B 20 9
[19] Poon J K S, Scheuer J, Mookherjea S, Paloczi G T, Huang Y Y, Yariv A 2004 Opt. Express 12 90
[20] Wang Y 2013 M. S. Dissertation ( Harbin: Harbin Institute of Technology) (in Chinese) [王莹 2013 硕士学位论文 (哈尔滨: 哈尔滨工业大学)]
[21] Cui D F, Xie C F, Liu Y Y, Li Y N, Wei L P, Wang Y H, Liu J, Xue C Y 2014 Opt. Commun. 324 296
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