首页 > 论文 > 光学学报 > 40卷 > 12期(pp:1205001--1)

层叠亚波长光栅中的模式匹配分析法 (封面文章)

Analytical Mode Matching in Stacked Subwavelength Gratings (Cover Paper)

  • 摘要
  • 论文信息
  • 参考文献
  • 被引情况
  • PDF全文
分享:

摘要

模式匹配分析法是计算亚波长光栅衍射效应的一种高效方法。对于亚波长层叠光栅,相邻的不同介质层边界处电磁场切向分量连续,每层中电磁场的各个波导模式对该层中电磁场的贡献与相邻层中电磁场切向分量的贡献相等,相邻层间模式匹配,故可将模式匹配分析法应用于亚波长层叠光栅中。通过具体实例比较了由模式匹配分析法与严格耦合波分析法计算得到的光栅衍射效率和电磁场强度分布,对比结果表明模式匹配分析法在分析亚波长层叠介质光栅方面相较于严格耦合波分析法更为高效,在收敛性以及计算速度方面有着独特的优势,且对于深刻理解层叠光栅对电磁波的衍射效应以及结合优化方法设计新型亚波长光栅、新型超表面方面具有重要意义。

Abstract

Analytical mode matching is an efficient method to calculate the diffraction of subwavelength grating. For stacked subwavelength gratings, the tangential component of an electromagnetic field is continuous at the boundary of adjacent different dielectric layers, and the contribution of each waveguide mode of the electromagnetic field in each layer to the electromagnetic field in the layer is equal to that of the tangential component of the electromagnetic field in the adjacent layer. The modes between adjacent layers are matched. Thus, the analytical mode matching can be applied to stacked subwavelength dielectric gratings. The diffraction efficiencies and the electromagnetic field distributions calculated using the analytical mode matching and the rigorous coupled wave analysis method are compared in this study. Comparison results show that the proposed analytical mode matching is an effective method for calculating the diffraction of stacked subwavelength dielectric gratings owing to its unique advantage in convergence and calculation speed and it offers a profound understanding of the diffraction effects of stacked subwavelength gratings on electromagnetic waves. The proposed method combined with optimization methods can be used to design new stacked subwavelength gratings and metasurfaces.

广告组1 - 空间光调制器+DMD
补充资料

中图分类号:O436

DOI:10.3788/AOS202040.1205001

所属栏目:衍射与光栅

基金项目:国家自然科学基金、国家自然科学基金委员会-中国工程物理研究院联合基金、上海市教育委员会科研创新计划;

收稿日期:2020-02-17

修改稿日期:2020-03-23

网络出版日期:2020-06-01

作者单位    点击查看

张锦龙:同济大学先进微结构材料教育部重点实验室, 上海 200092同济大学物理科学与工程学院精密光学工程技术研究所, 上海 200092
史帅凯:同济大学先进微结构材料教育部重点实验室, 上海 200092同济大学物理科学与工程学院精密光学工程技术研究所, 上海 200092
焦宏飞:同济大学先进微结构材料教育部重点实验室, 上海 200092同济大学物理科学与工程学院精密光学工程技术研究所, 上海 200092
程鑫彬:同济大学先进微结构材料教育部重点实验室, 上海 200092同济大学物理科学与工程学院精密光学工程技术研究所, 上海 200092

联系人作者:张锦龙(jinlong@tongji.edu.cn)

备注:国家自然科学基金、国家自然科学基金委员会-中国工程物理研究院联合基金、上海市教育委员会科研创新计划;

【1】Mateus C F R, Huang M C Y, Deng Y, et al. Ultrabroadband mirror using low-index cladded subwavelength grating [J]. IEEE Photonics Technology Letters. 2004, 16(2): 518-520.

【2】Mateus C F R, Huang M C Y, Chen L, et al. Broad-band mirror (1.12-1.62 μm) using a subwavelength grating [J]. IEEE Photonics Technology Letters. 2004, 16(7): 1676-1678.

【3】Lee K J. LaComb R, Britton B, et al. Silicon-layer guided-mode resonance polarizer with 40-nm bandwidth [J]. IEEE Photonics Technology Letters. 2008, 20(22): 1857-1859.

【4】Lee K J, Curzan J, Shokooh-Saremi M, et al. Resonant wideband polarizer with single silicon layer [J]. Applied Physics Letters. 2011, 98(21): 211112.

【5】Lee K J, Giese J, Ajayi L, et al. Resonant grating polarizers made with silicon nitride, titanium dioxide, and silicon: design, fabrication, and characterization [J]. Optics Express. 2014, 22(8): 9271-9281.

【6】Yoon J W, Lee K J, Magnusson R. Ultra-sparse dielectric nanowire grids as wideband reflectors and polarizers [J]. Optics Express. 2015, 23(22): 28849-28856.

【7】Wang J J, Glesk I, Chen L R. Subwavelength grating filtering devices [J]. Optics Express. 2014, 22(13): 15335-15345.

【8】Zhou Y, Karagodsky V, Pesala B, et al. A novel ultra-low loss hollow-core waveguide using subwavelength high-contrast gratings [J]. Optics Express. 2009, 17(3): 1508-1517.

【9】Mutlu M, Akosman A E, Kurt G, et al. Broadband quarter-wave plates at near-infrared using high-contrast gratings [J]. Proceedings of SPIE. 2013, 8633: 86330O.

【10】Chen M, Fan F, Xu S T, et al. Artificial high birefringence in all-dielectric gradient grating for broadband terahertz waves [J]. Scientific Reports. 2016, 6: 38562.

【11】Kroker S, Brückner F, Kley E B, et al. Enhanced angular tolerance of resonant waveguide grating reflectors [J]. Optics Letters. 2011, 36(4): 537-539.

【12】Kroker S, K?sebier T, Kley E B, et al. Coupled grating reflectors with highly angular tolerant reflectance [J]. Optics Letters. 2013, 38(17): 3336-3339.

【13】Yamada K, Lee K J, Ko Y H, et al. Flat-top narrowband filters enabled by guided-mode resonance in two-level waveguides [J]. Optics Letters. 2017, 42(20): 4127-4130.

【14】Yao Y H, Wu W. All-dielectric heterogeneous metasurface as an efficient ultra-broadband reflector [J]. Advanced Optical Materials. 2017, 5(14): 1700090.

【15】Zhang R, Wang Y F, Zhang Y J, et al. Broadband and polarization-insensitive subwavelength grating reflector for the near-infrared region [J]. Chinese Optics Letters. 2014, 12(2): 020502.

【16】Wang S S, Magnusson R. Theory and applications of guided-mode resonance filters [J]. Applied Optics. 1993, 32(14): 2606-2613.

【17】Karagodsky V, Sedgwick F G. Chang-Hasnain C J. Theoretical analysis of subwavelength high contrast grating reflectors [J]. Optics Express. 2010, 18(16): 16973-16988.

【18】Karagodsky V. Chang-Hasnain C J. Physics of near-wavelength high contrast gratings [J]. Optics Express. 2012, 20(10): 10888-10895.

【19】Chang-Hasnain C J, Yang W J. High-contrast gratings for integrated optoelectronics [J]. Advances in Optics and Photonics. 2012, 4(3): 379-440.

【20】Qiao P F, Yang W J. Chang-Hasnain C J. Recent advances in high-contrast metastructures, metasurfaces, and photonic crystals [J]. Advances in Optics and Photonics. 2018, 10(1): 180-245.

【21】Wu J, Zhou C H, Cao H C, et al. Simplified mode analysis of guided mode resonance gratings with asymmetric coatings [J]. Chinese Optics Letters. 2013, 11(6): 060501.

【22】Moharam M G, Gaylord T K. Rigorous coupled-wave analysis of planar-grating diffraction [J]. Journal of the Optical Society of America. 1981, 71(7): 811-818.

【23】Moharam M G, Gaylord T K, Pommet D A, et al. Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: enhanced transmittance matrix approach [J]. Journal of the Optical Society of America A. 1995, 12(5): 1077-1086.

引用该论文

Zhang Jinlong,Shi Shuaikai,Jiao Hongfei,Cheng Xinbin. Analytical Mode Matching in Stacked Subwavelength Gratings[J]. Acta Optica Sinica, 2020, 40(12): 1205001

张锦龙,史帅凯,焦宏飞,程鑫彬. 层叠亚波长光栅中的模式匹配分析法[J]. 光学学报, 2020, 40(12): 1205001

您的浏览器不支持PDF插件,请使用最新的(Chrome/Fire Fox等)浏览器.或者您还可以点击此处下载该论文PDF