基于零折射磁性特异电磁介质的波前调控

林海笑; 俞昕宁; 刘士阳

doi:10.7498/aps.64.034203

摘要

本文基于二维磁性柱周期阵列设计了具有等效零折射率的磁性特异电磁介质. 通过多重散射理论计算体系的光子能带和等效介质理论提取体系的等效电磁参量可以确定该磁性特异电磁介质可以实现等效介电常数和等效磁导率同时为零. 利用该双零磁性特异电磁介质可以实现电磁波在无相位延迟下的传输, 从而可以调控电磁波的空间相位变化. 进而, 通过设计具有不同电磁波输出界面的构型实现了高斯光束的波前由平面转变成柱面, 还可以实现高斯光束的聚焦和高斯光束的分束. 也可以根据需要设计具有更为一般的输出界面, 实现更为多样的电磁波波前的调控. 而且, 磁性材料的电磁特性可以通过温度和外加磁场进行调制, 因此该双零磁性特异电磁介质的工作频率可以灵活控制, 这更便于电磁波器件的设计和应用.

关键词:

Abstract

In this work, a zero index magnetic metamaterial (ZIMM) is designed based on the two-dimensional array of ferrite rods periodically arranged in the air. By calculating the photonic band structures within the framework of multiple scattering theory and retrieving the effective electric permittivity εeff and effective magnetic permeability μeff, the structure parameters can be optimized and then the effectively matched zero index with εeff = μeff = 0 is achieved. Within this matched ZIMM, electromagnetic (EM) wave can propagate without any phase delay, resulting in the manipulation of phase pattern in space. By simulating the electric field patterns of a Gaussian beam incident on ZIMM slabs with different thickness, zero phase delay inside the slab can be observed. By designing various outgoing interfaces a plane EM wavefront can be transformed into a cylindrical one, or even into a more general wavefront. In addition, the focusing and beam splitting effects are demonstrated as well. Besides, since the permeability of magnetic materials can be controlled by an external magnetic field or a temperature, the EM features of ZIMM can be flexibly tuned, enabling a promising prospect in designing EM devices and potential applications.

Keywords:

作者及机构信息

1.
浙江师范大学光学研究所, 金华 321004;

2.
复旦大学表面物理国家重点实验室, 上海 200433

基金项目: 国家自然科学基金(批准号: 11274277)、复旦大学表面物理国家重点实验室开放项目(批准号: KF2013_6)和浙江师范大学创新团队项目资助的课题.

Authors and contacts

1.
Institute of Information Optics, Zhejiang Normal University, Jinhua 321004, China;

2.
State Key Laboratory of Surface Physics, Fudan University, Shanghai 200433, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11274277), the open project of State Key Laboratory of Surface Physics in Fudan University, China (Grant No. KF2013_6), and the program for innovative research team in Zhejiang Normal University.

参考文献

[1]	Johnson P B, Christy R W 1972 Phys. Rev. B 6 4370
[2]	Gómez R J, Janke C, Bolivar P, Kurz H 2005 Opt. Express 13 847
[3]	Spitzer W G, Kleinman D, Walsh D 1959 Phys. Rev. 113 127
[4]	Veselago V C 1968 Sov. Phys. Usp. 10 509
[5]	Pendry J B 2000 Phys. Rev. Lett. 85 3966
[6]	Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[7]	He Q, Sun S L, Xiao S Y, Li X, Song Z Y, Sun W J, Zhou L 2014 Chin. Phys. B 23 047808
[8]	Monticone F, Alù A 2014 Chin. Phys. B 23 047809
[9]	Edwards B, Alù A, Young M, Silveirinha M, Engheta N 2008 Phys. Rev. Lett. 100 033903
[10]	Liu R P, Cheng Q, Hand T, Mock J J, Cui T J, Cummer S A, Smith D R 2008 Phys. Rev. Lett. 100 023903
[11]	Jin Y, Zhang P, He S L 2010 Phys. Rev. B 81 085117
[12]	Jin Y, He S L 2010 Opt. Express 18 16587
[13]	Silveirinha M, Engheta N 2007 Phys. Rev. B 75 075119
[14]	Huang X Q, Lai Y, Hang Z H, Zheng H H, Chan C T 2011 Nat. Mater. 10 582
[15]	Cheng Q, Jiang W X, Cui T J 2011 Appl. Phys. Lett. 99 131913
[16]	Cheng Q, Jiang W X, Cui T J 2012 Phys. Rev. Lett. 108 213903
[17]	Silveirinha M G, Engheta N 2006 Phys. Rev. Lett. 97 157403
[18]	Cheng Q, Liu R P, Huang D, Cui T J, Smith D R 2007 Appl. Phys. Lett. 91 234105
[19]	Silveirinha M G, Engheta N 2007 Phys. Rev. B 76 245109
[20]	Enoch S, Tayeb G, Sabouroux P, Guerin N, Vincent P 2002 Phys. Rev. Lett. 89 213902
[21]	Yuan Y, Shen L F, Ran L X, Jiang T, Huangfu J T, Kong J A 2008 Phys. Rev. A 77 053821
[22]	Ma Y G, Wang P, Chen X, Ong C K 2009 Appl. Phys. Lett. 94 044107
[23]	Edwards B, Alù, Silveirinha M G, Engheta N 2009 J. Appl. Phys. 105 044905
[24]	Luo J, Xu P, Chen H Y, Hou B, Gao L, Lai Y 2012 Appl. Phys. Lett. 100 221903
[25]	Hao J, Yan W, Qiu M 2010 Appl. Phys. Lett. 96 101109
[26]	Nguyen V C, Chen L, Halterman K 2010 Phys. Rev. Lett. 105 233908
[27]	Wang N, Chen H J, Lu W L, Liu S Y, Lin Z F 2013 Opt. Express 21 23712
[28]	Alù A, Silveirinha M G, Salandrino A, Engheta N 2007 Phys. Rev. B 75 155410
[29]	Su Y Y, Gong B Y, Zhao X P 2012 Acta Phys. Sin. 61 084102 (in Chinese) [苏妍妍, 龚伯仪, 赵晓鹏 2012 物理学报 61 084102]
[30]	Yang H, Wang C H, Guo X R 2014 Acta Phys. Sin. 63 014103 (in Chinese) [杨怀, 王春华, 郭小蓉 2014 物理学报 63 014103]
[31]	Liu S Y, Du J J, Lin Z F, Wu R X, Chui S T 2008 Phys. Rev. B 78 155101
[32]	Bi K, Dong G Y, Fu X J, Zhou J 2012 Appl. Phys. Lett. 103 131915
[33]	Liu S Y, Chen W K, Du J J, Lin Z F, Chui S T, Chan C T 2008 Phys. Rev. Lett. 101 157407
[34]	Liu S Y, Lu W L, Lin Z F, Chui S T 2011 Phys. Rev. B 84 045425
[35]	Poo Y, Wu R X, Liu S Y, Yang Y, Lin Z F, Chui S T 2012 Appl. Phys. Lett. 101 081912
[36]	Yu J J, Chen H J, Wu Y B, Liu S Y 2012 EPL 100 47007
[37]	Shen M, Ruan L X, Wang X L, Shi J L, Wang Q 2011 Phys. Rev. A 83 045804
[38]	Yannopapas V, Vanakaras A 2011 Phys. Rev. B 84 045128
[39]	Litchinitser N M, Maimistov A I, Gabitov I R, Sagdeev R Z, Shalaev V M 2008 Opt. Lett. 33 2350
[40]	Ding Y S, Chan C T, Wang R P 2013 Sci. Rep. 3 2954
[41]	Pozar D M 2005 Microwave Engineering (3rd Ed.) (New York: Wiley)
[42]	Wu Y, Li J, Zhang Z Q, Chan C T 2006 Phys. Rev. B 74 085111
[43]	Jin J F, Liu S Y, Lin Z F, Chui S T 2011 Phys. Rev. B 84 115101

施引文献

[1]	Johnson P B, Christy R W 1972 Phys. Rev. B 6 4370
[2]	Gómez R J, Janke C, Bolivar P, Kurz H 2005 Opt. Express 13 847
[3]	Spitzer W G, Kleinman D, Walsh D 1959 Phys. Rev. 113 127
[4]	Veselago V C 1968 Sov. Phys. Usp. 10 509
[5]	Pendry J B 2000 Phys. Rev. Lett. 85 3966
[6]	Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[7]	He Q, Sun S L, Xiao S Y, Li X, Song Z Y, Sun W J, Zhou L 2014 Chin. Phys. B 23 047808
[8]	Monticone F, Alù A 2014 Chin. Phys. B 23 047809
[9]	Edwards B, Alù A, Young M, Silveirinha M, Engheta N 2008 Phys. Rev. Lett. 100 033903
[10]	Liu R P, Cheng Q, Hand T, Mock J J, Cui T J, Cummer S A, Smith D R 2008 Phys. Rev. Lett. 100 023903
[11]	Jin Y, Zhang P, He S L 2010 Phys. Rev. B 81 085117
[12]	Jin Y, He S L 2010 Opt. Express 18 16587
[13]	Silveirinha M, Engheta N 2007 Phys. Rev. B 75 075119
[14]	Huang X Q, Lai Y, Hang Z H, Zheng H H, Chan C T 2011 Nat. Mater. 10 582
[15]	Cheng Q, Jiang W X, Cui T J 2011 Appl. Phys. Lett. 99 131913
[16]	Cheng Q, Jiang W X, Cui T J 2012 Phys. Rev. Lett. 108 213903
[17]	Silveirinha M G, Engheta N 2006 Phys. Rev. Lett. 97 157403
[18]	Cheng Q, Liu R P, Huang D, Cui T J, Smith D R 2007 Appl. Phys. Lett. 91 234105
[19]	Silveirinha M G, Engheta N 2007 Phys. Rev. B 76 245109
[20]	Enoch S, Tayeb G, Sabouroux P, Guerin N, Vincent P 2002 Phys. Rev. Lett. 89 213902
[21]	Yuan Y, Shen L F, Ran L X, Jiang T, Huangfu J T, Kong J A 2008 Phys. Rev. A 77 053821
[22]	Ma Y G, Wang P, Chen X, Ong C K 2009 Appl. Phys. Lett. 94 044107
[23]	Edwards B, Alù, Silveirinha M G, Engheta N 2009 J. Appl. Phys. 105 044905
[24]	Luo J, Xu P, Chen H Y, Hou B, Gao L, Lai Y 2012 Appl. Phys. Lett. 100 221903
[25]	Hao J, Yan W, Qiu M 2010 Appl. Phys. Lett. 96 101109
[26]	Nguyen V C, Chen L, Halterman K 2010 Phys. Rev. Lett. 105 233908
[27]	Wang N, Chen H J, Lu W L, Liu S Y, Lin Z F 2013 Opt. Express 21 23712
[28]	Alù A, Silveirinha M G, Salandrino A, Engheta N 2007 Phys. Rev. B 75 155410
[29]	Su Y Y, Gong B Y, Zhao X P 2012 Acta Phys. Sin. 61 084102 (in Chinese) [苏妍妍, 龚伯仪, 赵晓鹏 2012 物理学报 61 084102]
[30]	Yang H, Wang C H, Guo X R 2014 Acta Phys. Sin. 63 014103 (in Chinese) [杨怀, 王春华, 郭小蓉 2014 物理学报 63 014103]
[31]	Liu S Y, Du J J, Lin Z F, Wu R X, Chui S T 2008 Phys. Rev. B 78 155101
[32]	Bi K, Dong G Y, Fu X J, Zhou J 2012 Appl. Phys. Lett. 103 131915
[33]	Liu S Y, Chen W K, Du J J, Lin Z F, Chui S T, Chan C T 2008 Phys. Rev. Lett. 101 157407
[34]	Liu S Y, Lu W L, Lin Z F, Chui S T 2011 Phys. Rev. B 84 045425
[35]	Poo Y, Wu R X, Liu S Y, Yang Y, Lin Z F, Chui S T 2012 Appl. Phys. Lett. 101 081912
[36]	Yu J J, Chen H J, Wu Y B, Liu S Y 2012 EPL 100 47007
[37]	Shen M, Ruan L X, Wang X L, Shi J L, Wang Q 2011 Phys. Rev. A 83 045804
[38]	Yannopapas V, Vanakaras A 2011 Phys. Rev. B 84 045128
[39]	Litchinitser N M, Maimistov A I, Gabitov I R, Sagdeev R Z, Shalaev V M 2008 Opt. Lett. 33 2350
[40]	Ding Y S, Chan C T, Wang R P 2013 Sci. Rep. 3 2954
[41]	Pozar D M 2005 Microwave Engineering (3rd Ed.) (New York: Wiley)
[42]	Wu Y, Li J, Zhang Z Q, Chan C T 2006 Phys. Rev. B 74 085111
[43]	Jin J F, Liu S Y, Lin Z F, Chui S T 2011 Phys. Rev. B 84 115101

[1]	温广锋, 赵领中, 张琳, 陈毅云, 罗圻林, 方安安, 刘士阳. 基于柱对称梯度折射率体系的可调控光束传输. 物理学报, 2022, 71(14): 144201. doi: 10.7498/aps.71.20212247
[2]	吴雨明, 丁霄, 王任, 王秉中. 基于等效介质原理的宽角超材料吸波体的理论分析. 物理学报, 2020, 69(5): 054202. doi: 10.7498/aps.69.20191732
[3]	耿滔, 王岩, 王新, 董祥美. 非长波极限下二维光子晶体中横电模的等效介质理论. 物理学报, 2015, 64(15): 154210. doi: 10.7498/aps.64.154210
[4]	郑红霞, 周鑫, 韩影, 俞昕宁, 刘士阳. 基于双粒子耦合的单层介质柱阵列对电磁波的调控. 物理学报, 2015, 64(22): 224201. doi: 10.7498/aps.64.224201
[5]	张铮, 徐智谋, 孙堂友, 何健, 徐海峰, 张学明, 刘世元. 硅表面抗反射纳米周期阵列结构的纳米压印制备与性能研究. 物理学报, 2013, 62(16): 168102. doi: 10.7498/aps.62.168102
[6]	钱可元, 马骏, 付伟, 罗毅. 基于Mie散射理论的白光发光二极管荧光粉散射特性研究. 物理学报, 2012, 61(20): 204201. doi: 10.7498/aps.61.204201
[7]	康果果, 谭峤峰, 陈伟力, 李群庆, 金伟其, 金国藩. 亚波长金属线栅的设计、制备及偏振成像实验研究. 物理学报, 2011, 60(1): 014218. doi: 10.7498/aps.60.014218
[8]	刘文军, 毛宏燕, 付国庆, 曲士良. 散射介质中多重散射太赫兹脉冲的时域统计特性. 物理学报, 2010, 59(2): 913-917. doi: 10.7498/aps.59.913
[9]	刘艳芬, 刘晶会, 贾城. 侧向铁磁/铁磁超晶格的推迟模式. 物理学报, 2008, 57(3): 1897-1901. doi: 10.7498/aps.57.1897
[10]	刘世元, 顾华勇, 张传维, 沈宏伟. 基于修正等效介质理论的微纳深沟槽结构反射率快速算法研究. 物理学报, 2008, 57(9): 5996-6001. doi: 10.7498/aps.57.5996
[11]	王清华, 张颖颖, 来建成, 李振华, 贺安之. Mie理论在生物组织散射特性分析中的应用. 物理学报, 2007, 56(2): 1203-1207. doi: 10.7498/aps.56.1203
[12]	刘晓东, 李曙光, 侯蓝田, 王慧田. 含金属散射体的中红外无序介质的光子定域化理论研究. 物理学报, 2002, 51(9): 2123-2127. doi: 10.7498/aps.51.2123
[13]	沈林放, 何赛灵, 吴良. 等效介质理论在光子晶体平面波展开分析方法中的应用. 物理学报, 2002, 51(5): 1133-1138. doi: 10.7498/aps.51.1133
[14]	曹松, 唐景昌, 汪雷, 朱萍. SO2/Ni(111)吸附系统局域结构的多重散射团簇理论研究. 物理学报, 2001, 50(9): 1756-1762. doi: 10.7498/aps.50.1756
[15]	朱萍, 唐景昌, 何江平. 多重散射团簇方法对吸附系统SO2/Ag(110)的理论分析. 物理学报, 2000, 49(8): 1632-1638. doi: 10.7498/aps.49.1632
[16]	庄飞, 唐景昌, 何江平, 汪雷. 多重散射团簇理论对CO/NiO(100),NO/NiO(100)吸附系统的分析与比较. 物理学报, 2000, 49(3): 570-576. doi: 10.7498/aps.49.570
[17]	冯小松, 唐景昌. C2H4/Ni(100)近边X射线吸收谱的多重散射理论研究. 物理学报, 1993, 42(4): 647-655. doi: 10.7498/aps.42.647
[18]	唐景昌, 付送保, 季红, 陈一兵. 利用原子集团多重散射理论决定HCOO-Cu(110)的结构. 物理学报, 1992, 41(6): 968-976. doi: 10.7498/aps.41.968
[19]	潘晓川, 梁晓玲, 李家明. 量子数亏损理论——多重散射计算方法. 物理学报, 1987, 36(4): 426-435. doi: 10.7498/aps.36.426
[20]	范希明, 刘福绥. 电介质损耗理论. 物理学报, 1984, 33(11): 1589-1592. doi: 10.7498/aps.33.1589

计量

文章访问数: 6134
PDF下载量: 443
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板