带虚设层的抗反射结构导模共振滤波器设计与分析

桑田; 蔡托; 刘芳; 蔡绍洪; 张大伟

doi:10.7498/aps.62.024215

摘要

提出带虚设层的抗反射导模共振滤波器结构及设计方法, 该方法适用于任意角度入射带虚设层的抗反射结构导模共振滤波器设计与分析. 得到带虚设层的导模共振滤波器抗反射结构所满足的关系式. 指出在维持虚设层光学厚度不变的情况下, 可以通过不同选材, 在低反射旁带中实现等带宽不同波长的选择. 此外, 由于结构的抗反射特性在低角范围内具有较大的角度容差, 改变入射角, 可以实现滤波波长及光谱带宽在宽光谱范围内的准线性可调谐.

关键词:

虚设层 /
抗反射 /
导模共振 /
滤波

Abstract

A design approach to guided-mode resonance filter containing an absentee layer with an antireflective surface is presented. This design approach is reliable for the design and analysis of guided-mode resonance filter containing an absentee layer with an antireflective surface at an arbitrary incidence. The antireflection condition of guided-mode resonance filter containing an absentee layer is obtained. For the absentee layer with a fixed optical thickness, the resonance wavelength can be selected, with the low-sideband features and the filter linewidth kept almost the same by using different materials. In addition, the resonance wavelength and its linewidth can be tuned almost linearly in a broad spectral band as the incident angle is varied due to high angular tolerance of the antireflection features of the filter in the range of small angle.

Keywords:

作者及机构信息

1.
上海理工大学, 上海市现代光学系统重点实验室, 光电信息与计算机工程学院, 上海 200093;

2.
黔南民族师范学院, 物理与电子科学系, 都匀 558000;

3.
贵州财经大学, 贵州省经济系统仿真重点实验室, 贵阳 550004

基金项目: 国家自然科学基金(批准号: 60908021, 11264005, 10647005, 11064010)、贵州省科学技术基金(批准号: 20112097)和贵州省教育厅自然科学项目(2011029)资助的课题.

Authors and contacts

1.
School of Optical-Electrical and Computer Engineering, Shanghai Key Lab of Modern Optical Systems, University of Shanghai for Science and Technology, Shanghai 200093, China;

2.
Department of Physics and Electronic Science, Qiannan Normal College for Nationalities, Duyun 558000;

3.
Guizhou Key Laboratory of Economic System Simulation, Guizhou University of Finance and Economics, Guiyang 550004

Funds: Project supported by the National Nature Science Foundation of China (Grant Nos. 60908021, 11264005, 10647005 and 11064010), the Science and Technology Foundation of Guizhou Province (Grant. No. 20112097), and the Natural Science Foundation of the Department of Education of Guizhou Province (Grant. No. 2011029).

参考文献

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[2]	Popov E, Mashev L, Maystre D 1986 Opt. Acta 33 607
[3]	Magnusson R, Wang S S 1992 Appl. Phys. Lett. 61 1022
[4]	Sun T Y, Ma J Y, Fu X Y, Wang J P, Jin Y X, Shao J D, Fan Z X 2010 Chin. Opt. Lett. 8 447
[5]	Ma J Y, Liu S J, Wei C Y, Jin Y X, Zhao Y A, Shao J D, Fan Z X 2008 Acta. Phys. Sin. 57 4195 (in Chinese) [麻健勇, 刘世杰, 魏朝阳, 晋云霞, 赵元安, 邵建达, 范正修 2008 57 4195]
[6]	Ye Y, Chen L S 2008 Acta Opt. Sin. 28 2255 (in Chinese) [叶燕, 陈林森 2008 光学学报 28 2255]
[7]	Zhang D W, Wang Q, Zhu Y M, Huang Y S, Ni Z J, Zhuang S L 2010 Chin. J. Lasers 37 950 (in Chinese) [张大伟, 王琦, 朱亦鸣, 黄元申, 倪争技, 庄松林 2010 中国激光 37 950]
[8]	Song J Y, Feng S F, Zhang X P, Liu H M, Song Y R 2009 Acta. Phys. Sin. 58 6542 (in Chinese) [宋娇阳, 冯胜飞, 张新平, 刘红梅, 宋晏蓉 2009 58 6542]
[9]	Fu X Y, Yi K, Shao J D, Fan Z X 2009 Opt. Lett. 34 124
[10]	Guo C C, Ye W M, Yuan X D, Zeng C, Ji J R 2010 Acta Opt. Sin. 30 2690 (in Chinese) [郭楚才, 叶卫民, 袁晓东, 曾淳, 季家镕 2010 光学学报 30 2690]
[11]	Katchalski T, Levy-Yurista G, Friesem A A, Martin G, Hierle R, Zyss J 2005 Opt. Express 13 4645
[12]	Wang Q, Zhang D W, Huang Y S, Ni Z J, Chen J B, Zhong Y W, Zhuang S L 2010 Opt. Lett. 35 1236
[13]	Sang T, Cai T, Cai S H, Wang Z S 2011 J. Opt. 13 125706
[14]	Wang Z H, Wu Y G, Ling L J, Xia Z H, Chen N B, Liu R C 2011 Acta Opt. Sin. 31 0505002 (in Chinese) [王振华, 吴永刚, 凌磊婕, 夏子奂, 陈乃波, 刘仁臣 2011 光学学报 31 0505002]
[15]	Wang J P, Jin Y X, Ma J Y, Shao J D, Fan Z X 2010 Acta. Phys. Sin. 59 3119 (in Chinese) [汪剑鹏, 晋云霞, 麻健勇, 邵建达, 范正修 2010 59 3119]
[16]	Sang T, Wang L, Ji S Y, Chen H, Wang Z S 2009 J. Opt. Soc. Am. A 26 559
[17]	Zhou Z P, Wu H M, Feng J B, Hou J, Yi H X, Wang X J 2010 J. Nanophoton 4 041001
[18]	Sang T, Wang Z S, Zhou X, Cai S H 2010 Appl. Phys. Lett. 97 071107
[19]	Wang Z H, Wu Y G, Xia Z H, Liu R C, Lv G, Wu H Y, Tang P L 2011 Chin. Opt. Lett. 9 080501
[20]	Mizutani A, Kikuta H, Iwata K, Toyota H 2002 J. Opt. Soc. Am. A 19 1346
[21]	Magnusson R, Shin D, Liu Z S 1998 Opt. Lett. 23 612
[22]	Shin D, Liu Z S, Magnusson R 2002 Opt. Lett. 27 1288
[23]	Sang T, Zhao H, Cai S H, Wang Z S 2012 Opt. Commun. 285 258
[24]	Rytov S M 1956 Sov. Phys. JETP 2 466
[25]	Macleod H A 2001 Thin-film optical filter (3rded) (London: IOP) P41
[26]	Wang S S, Magnusson R 1993 Appl. Opt. 32 2606
[27]	Cao Z Q 2007 Waveguide optics (Beijing: Science Press) P40 (in Chinese) [曹庄琪 2007 导波光学 (北京: 科学出版社) 第40页]
[28]	Mateus C F R, Huang M C Y, Deng Y F, Neureuther A R, Hasnain C J C 2004 IEEE Photon. Technol. Lett. 16 518
[29]	Wu M L, Hsu C L, Liu Y C, Wang C M, Chang J Y 2006 Opt. Lett. 31 3333
[30]	Moharam M G, Grann E B, Pommet D A, Gaylord T K 1995 J. Opt. Soc. Am. A 12 1068

施引文献

[1]	Golubenko A, Svakhin A S, Sychugov V A, Tishchenko A V 1985 Sov. J. Quantum Electron. 15 886
[2]	Popov E, Mashev L, Maystre D 1986 Opt. Acta 33 607
[3]	Magnusson R, Wang S S 1992 Appl. Phys. Lett. 61 1022
[4]	Sun T Y, Ma J Y, Fu X Y, Wang J P, Jin Y X, Shao J D, Fan Z X 2010 Chin. Opt. Lett. 8 447
[5]	Ma J Y, Liu S J, Wei C Y, Jin Y X, Zhao Y A, Shao J D, Fan Z X 2008 Acta. Phys. Sin. 57 4195 (in Chinese) [麻健勇, 刘世杰, 魏朝阳, 晋云霞, 赵元安, 邵建达, 范正修 2008 57 4195]
[6]	Ye Y, Chen L S 2008 Acta Opt. Sin. 28 2255 (in Chinese) [叶燕, 陈林森 2008 光学学报 28 2255]
[7]	Zhang D W, Wang Q, Zhu Y M, Huang Y S, Ni Z J, Zhuang S L 2010 Chin. J. Lasers 37 950 (in Chinese) [张大伟, 王琦, 朱亦鸣, 黄元申, 倪争技, 庄松林 2010 中国激光 37 950]
[8]	Song J Y, Feng S F, Zhang X P, Liu H M, Song Y R 2009 Acta. Phys. Sin. 58 6542 (in Chinese) [宋娇阳, 冯胜飞, 张新平, 刘红梅, 宋晏蓉 2009 58 6542]
[9]	Fu X Y, Yi K, Shao J D, Fan Z X 2009 Opt. Lett. 34 124
[10]	Guo C C, Ye W M, Yuan X D, Zeng C, Ji J R 2010 Acta Opt. Sin. 30 2690 (in Chinese) [郭楚才, 叶卫民, 袁晓东, 曾淳, 季家镕 2010 光学学报 30 2690]
[11]	Katchalski T, Levy-Yurista G, Friesem A A, Martin G, Hierle R, Zyss J 2005 Opt. Express 13 4645
[12]	Wang Q, Zhang D W, Huang Y S, Ni Z J, Chen J B, Zhong Y W, Zhuang S L 2010 Opt. Lett. 35 1236
[13]	Sang T, Cai T, Cai S H, Wang Z S 2011 J. Opt. 13 125706
[14]	Wang Z H, Wu Y G, Ling L J, Xia Z H, Chen N B, Liu R C 2011 Acta Opt. Sin. 31 0505002 (in Chinese) [王振华, 吴永刚, 凌磊婕, 夏子奂, 陈乃波, 刘仁臣 2011 光学学报 31 0505002]
[15]	Wang J P, Jin Y X, Ma J Y, Shao J D, Fan Z X 2010 Acta. Phys. Sin. 59 3119 (in Chinese) [汪剑鹏, 晋云霞, 麻健勇, 邵建达, 范正修 2010 59 3119]
[16]	Sang T, Wang L, Ji S Y, Chen H, Wang Z S 2009 J. Opt. Soc. Am. A 26 559
[17]	Zhou Z P, Wu H M, Feng J B, Hou J, Yi H X, Wang X J 2010 J. Nanophoton 4 041001
[18]	Sang T, Wang Z S, Zhou X, Cai S H 2010 Appl. Phys. Lett. 97 071107
[19]	Wang Z H, Wu Y G, Xia Z H, Liu R C, Lv G, Wu H Y, Tang P L 2011 Chin. Opt. Lett. 9 080501
[20]	Mizutani A, Kikuta H, Iwata K, Toyota H 2002 J. Opt. Soc. Am. A 19 1346
[21]	Magnusson R, Shin D, Liu Z S 1998 Opt. Lett. 23 612
[22]	Shin D, Liu Z S, Magnusson R 2002 Opt. Lett. 27 1288
[23]	Sang T, Zhao H, Cai S H, Wang Z S 2012 Opt. Commun. 285 258
[24]	Rytov S M 1956 Sov. Phys. JETP 2 466
[25]	Macleod H A 2001 Thin-film optical filter (3rded) (London: IOP) P41
[26]	Wang S S, Magnusson R 1993 Appl. Opt. 32 2606
[27]	Cao Z Q 2007 Waveguide optics (Beijing: Science Press) P40 (in Chinese) [曹庄琪 2007 导波光学 (北京: 科学出版社) 第40页]
[28]	Mateus C F R, Huang M C Y, Deng Y F, Neureuther A R, Hasnain C J C 2004 IEEE Photon. Technol. Lett. 16 518
[29]	Wu M L, Hsu C L, Liu Y C, Wang C M, Chang J Y 2006 Opt. Lett. 31 3333
[30]	Moharam M G, Grann E B, Pommet D A, Gaylord T K 1995 J. Opt. Soc. Am. A 12 1068

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