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聚合物微环谐振波分复用器传输特性的理论分析* 被引量:17
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作者 王现银 马春生 +4 位作者 鄂书林 闫新 徐元哲 张大明 孙德贵 《光学学报》 EI CAS CSCD 北大核心 2005年第1期45-50,共6页
 根据耦合模理论,给出了1×N信道微环谐振波分复用器(MRRWM)的光强传递函数通用公式,并分析了微环谐振波分复用器的传输特性。利用参量优化结果,在中心工作波长约为 1.55μm、波长间隔约 5.6 nm的情况下,对1×8信道硅基聚合物...  根据耦合模理论,给出了1×N信道微环谐振波分复用器(MRRWM)的光强传递函数通用公式,并分析了微环谐振波分复用器的传输特性。利用参量优化结果,在中心工作波长约为 1.55μm、波长间隔约 5.6 nm的情况下,对1×8信道硅基聚合物微环谐振波分复用器进行了数值模拟。计算结果表明,该器件具有以下优良的性能:分波光谱准确,自由光谱区约为18 nm,对于半径10μm以上的微环弯曲损耗很小,且器件的插入损耗主要由波导的传输损耗决定,振幅耦合比率为0.2时对应的每条竖直输出信道的插入损耗在0.57 dB以下,信道间的串扰小于-18.5 dB,输出谐振峰3 dB带宽可达0.25 nm,最小背景光的强度约为3.8×10-4。 展开更多
关键词 集成光学 微环谐振波分复用器 传递函数 插入损耗 串扰
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超声管形振子的振动分析 被引量:18
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作者 梁召峰 莫喜平 周光平 《声学学报》 EI CSCD 北大核心 2011年第4期369-376,共8页
基于Flgge壳体理论,利用严格解法得出了自由边界条件下超声管形振子纵径耦合振动的频率方程,研究了长径比、径厚比及泊松比等参数对振子振动频率的影响,并和薄膜简支边界条件下的振动情况进行了对比;通过与表观弹性法进行比较研究,探... 基于Flgge壳体理论,利用严格解法得出了自由边界条件下超声管形振子纵径耦合振动的频率方程,研究了长径比、径厚比及泊松比等参数对振子振动频率的影响,并和薄膜简支边界条件下的振动情况进行了对比;通过与表观弹性法进行比较研究,探讨了表观弹性法的精度;最后用严格解法计算了管形振子的振型曲线,对其纵径转换效率进行了分析。研究表明:在自由和薄膜简支两种边界条件下,随着长径比的增大,两种边界条件对管形振子纵径耦合振动无量纲频率影响的差异性减弱,且径厚比越大其差异性越小;在自由边界条件下,对于径厚比a/h>10的薄壳振子,径厚比的变化对无量纲频率的影响很小;在长径比一定时无量纲频率随泊松比的增大而减小,且泊松比对其的影响程度随长径比的变化而不同,当长径比l/a=π时影响最大;通过比较研究,证明三维表观弹性法具有很高的计算精度。 展开更多
关键词 管形振子 振动分析 超声 自由边界条件 频率方程 计算精度 耦合振动 长径比
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大尺寸超声振动体的研究 被引量:13
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作者 周光平 梁明军 王家宣 《声学技术》 EI CSCD 2004年第3期183-188,195,共7页
文章中介绍了大尺寸超声振动体的研究进展。包括分析耦合振动的表观弹性法;用表观弹性法对短圆柱体、空心圆柱体和矩形六面体的振动进行分析;用开槽、开狭缝、附加弹性体和二次设计等方法对超声振动体的振动进行控制。对有关结果与用有... 文章中介绍了大尺寸超声振动体的研究进展。包括分析耦合振动的表观弹性法;用表观弹性法对短圆柱体、空心圆柱体和矩形六面体的振动进行分析;用开槽、开狭缝、附加弹性体和二次设计等方法对超声振动体的振动进行控制。对有关结果与用有限元方法进行计算的结果进行了比较,并作出了评价。 展开更多
关键词 弹性法 开槽 二次设计 六面体 有限元方法 计算 超声振动 圆柱体 大尺寸
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基于可调频亥姆霍兹共振器的封闭空间噪声自适应半主动控制 被引量:14
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作者 靳国永 张洪田 +2 位作者 李玩幽 叶黎明 杨铁军 《声学学报》 EI CSCD 北大核心 2010年第3期309-320,共12页
针对实际中声场激励频率可能发生变化的情况,研究采用自适应频率可调的亥姆霍兹共振器吸声器来跟踪激扰频率从而控制封闭空间噪声。建立了封闭声腔与亥姆霍兹共振器耦合的频域模型与时域控制模型,并给出了三种频率调谐控制算法,即亥姆... 针对实际中声场激励频率可能发生变化的情况,研究采用自适应频率可调的亥姆霍兹共振器吸声器来跟踪激扰频率从而控制封闭空间噪声。建立了封闭声腔与亥姆霍兹共振器耦合的频域模型与时域控制模型,并给出了三种频率调谐控制算法,即亥姆霍兹共振器开口处声压幅值最小和内部声压幅值最大,以及判断内部声压幅值和开口处声压幅值的点积值趋零(点积值法)。理论分析和数值计算结果表明点积值法调频效果明显优于其它两种算法。采用并设计一种颈部面积可调的可调频亥姆霍兹共振器,利用点积值调频算法进行了单频和带宽信号激励下封闭空间噪声控制仿真和单频激励下实验研究,结果表明:点积值调频算法具有较好的频率调节性能和调节精度,并取得了理想的噪声控制效果,验证了理论模型正确性及调频算法的有效性。 展开更多
关键词 亥姆霍兹 半主动控制 空间噪声 可调频 共振器 自适应 封闭 激励频率
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PZT材料在射频滤波器中的应用 被引量:6
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作者 刘燕翔 任天令 刘理天 《固体电子学研究与进展》 EI CAS CSCD 北大核心 2002年第2期149-152,184,共5页
锆钛酸铅 (PZT)材料有着优良的压电性能 ,其薄膜具有高机电耦合系数、高品质因数的特点 ,适合于制作低插损、大带宽的射频 (RF)滤波器。文中介绍了 RF体声波滤波器的原理、结构和 PZT的材料特性 ,探讨了PZT薄膜的制备、退火、刻蚀工艺... 锆钛酸铅 (PZT)材料有着优良的压电性能 ,其薄膜具有高机电耦合系数、高品质因数的特点 ,适合于制作低插损、大带宽的射频 (RF)滤波器。文中介绍了 RF体声波滤波器的原理、结构和 PZT的材料特性 ,探讨了PZT薄膜的制备、退火、刻蚀工艺的选择与优化 ,并在此基础上设计了应用 PZT薄膜的体声波滤波器 。 展开更多
关键词 PZT材料 射频滤波器 锆钛酸铅 谐振器 微电子机械系统 压电 薄膜材料
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基于微环谐振腔的可调谐滤波器的研究 被引量:11
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作者 吴丹宁 吴远大 +2 位作者 王玥 安俊明 胡雄伟 《光学学报》 EI CAS CSCD 北大核心 2016年第1期254-260,共7页
采用深紫外光刻及等离子体刻蚀等工艺制备基于绝缘体上硅材料的环形滤波器,且微环半径仅为5μm。制备基于单微环的4通道光分插复用器,器件尺寸仅为3000μm×500μm。测试结果表明,该器件可以很好地实现上下载功能。其自由频谱宽度约... 采用深紫外光刻及等离子体刻蚀等工艺制备基于绝缘体上硅材料的环形滤波器,且微环半径仅为5μm。制备基于单微环的4通道光分插复用器,器件尺寸仅为3000μm×500μm。测试结果表明,该器件可以很好地实现上下载功能。其自由频谱宽度约为19.6 nm,最大消光比为19.76 d B。同时优化设计制备基于跑道型双微环可调谐光分插复用器。对这两种结构的光分插复用器的相邻信道间串扰进行测试,基于单微环滤波器和跑道型双微环滤波器的信道间最大串扰分别为-11.94 d B和-20.04 d B。所设计的基于双微环光分插复用器上下载通道与主信道间没有交叉波导结构,因此相邻通道串扰明显低于单环型的光分插复用器。同时设计并制备基于双微环PIN结型电光调制器。当偏置电压增加到1.6 V时,谐振峰发生0.78 nm的蓝移,并对测试结果进行分析。 展开更多
关键词 光学器件 脊形波导 可调谐滤波器 电光调制器 光复用技术 谐振腔
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Optomechanical sensing with on-chip microcavities 被引量:8
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作者 Yi-Wen Hu Yun-Feng Xiao Yong-Chun Liu Qihuang Gong 《Frontiers of physics》 SCIE CSCD 2013年第5期475-490,共16页
The coupling between optical and mechanical degrees of freedom has been of broad interest for a long time. However, it is only until recently, with the rapid development of optical mierocavity research, that we are ab... The coupling between optical and mechanical degrees of freedom has been of broad interest for a long time. However, it is only until recently, with the rapid development of optical mierocavity research, that we are able to manipulate and utilize this coupling process. When a high Q microeavity couples to a mechanical resonator, they can consolidate into an optomeehanieal system. Benefitting from the unique characteristics offered by optomeehanical coupling, this hybrid system has become a promising platform for ultrasensitive sensors to detect displacement, mass, force and acceleration. In this review, we introduce the basic physical concepts of cavity optomechanies, and describe some of the most typical experimental cavity optomechanical systems for sensing applications. Finally, we discuss the noise arising from various sources and show the potentiality of optomechanical sensing towards quantum-noise-limited detection. 展开更多
关键词 optical microcavities mechanical resonators cavity optomechanics optical sensing integrated photonics
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Ultrasensitive terahertz metamaterial sensor based on vertical split ring resonators 被引量:9
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作者 WEI WANG FENGPING YAN +2 位作者 SIYU TAN HONG ZHOU YAFEI HOU 《Photonics Research》 SCIE EI 2017年第6期90-96,共7页
An ultrasensitive metamaterial sensor based on double-slot vertical split ring resonators(DVSRRs) is designed and numerically calculated in the terahertz frequency. This DVSRR design produces a fundament LC resonance ... An ultrasensitive metamaterial sensor based on double-slot vertical split ring resonators(DVSRRs) is designed and numerically calculated in the terahertz frequency. This DVSRR design produces a fundament LC resonance with a quality factor of about 20 when the incidence magnetic field component normal to the DVSRR array. The resonant characteristics and sensing performance of the DVSRR array design are systematically analyzed employing a contrast method among three similar vertical split ring resonator(SRRs) structures. The research results show that the elimination of bianisotropy, induced by the structural symmetry of the DVSRR design, helps to achieve LC resonance of a high quality factor. Lifting the SRRs up from the substrate sharply reduces the dielectric loss introduced by the substrate. All these factors jointly result in superior sensitivity of the DVSRR to the attributes of analytes. The maximum refractive index sensitivity is 788 GHz/RIU or 1.04 × 10~5 nm∕RIU.Also, the DVSRR sensor maintains its superior sensing performance for fabrication tolerance ranging from -4% to 4% and wide range incidence angles up to 50° under both TE and TM illuminations. 展开更多
关键词 RIU Ultrasensitive terahertz metamaterial sensor based on vertical split ring resonators
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Wide dynamic range experiments on a resonator fiber optic gyro based on closed-loop frequency locking technique 被引量:5
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作者 郑永秋 任勇峰 +5 位作者 安盼龙 储成群 李小枫 薛晨阳 刘俊 闫树斌 《Chinese Optics Letters》 SCIE EI CAS CSCD 2015年第2期13-16,共4页
Wide dynamic range is an important index of the resonator fiber optic gyro(RFOG). The dynamic range is related to the parameters of the fiber ring resonator(FRR). After adopting the appropriate parameters, the res... Wide dynamic range is an important index of the resonator fiber optic gyro(RFOG). The dynamic range is related to the parameters of the fiber ring resonator(FRR). After adopting the appropriate parameters, the resonant curve of a FRR and the synchronous demodulated curve are measured. Based on the closed-loop frequency locking technique, the wide dynamic range is obtained, while the linearity is guaranteed. The experiment’s results show that the dynamic range is 480 deg ∕s with less than 1% nonlinearity, and that the bias stability is0.04 deg/s over 2000 s. This Letter demonstrates the scheme for a RFOG with a wide dynamic range. 展开更多
关键词 Fiber optics GYROSCOPES Optical resonators resonators
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Development of acoustic liner in aero engine: A review 被引量:9
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作者 MA XuQiang SU ZhengTao 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2020年第12期2491-2504,共14页
Noise reduction for aircraft engine has attracted great concern due to the strict noise control regulation nowadays. Conventional perforated sheet-over-honeycomb acoustic liners have been widely used to attenuate turb... Noise reduction for aircraft engine has attracted great concern due to the strict noise control regulation nowadays. Conventional perforated sheet-over-honeycomb acoustic liners have been widely used to attenuate turbofan engine noise. To dampen the broadband noise and resist the harsh service conditions with high temperature and pressure in modern turbofan engine,new acoustic liner concepts are proposed and evaluated in the latest decade. In this review,available studies regarding the recent development of liners are gathered. The paper starts with the introduction of acoustic absorption mechanism of local-reacting and extended-reacting liners. The progress of novel passive liners(e.g.,mesh-cap liner,variable-depth liner,metal foam liner,hybrid liner,etc.) is summarized. Furthermore,adaptive liners with tunable geometry dimension or bias flow are illustrated in details.Metamaterial is also mentioned as a hot candidate in the next generation of acoustic liners. Finally,this review identifies benefits and some technical challenges with the goal of unveiling the potential of novel acoustic liner technologies in aero engine. 展开更多
关键词 aero engine noise acoustic liner Helmholtz resonators COMPOSITES
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NEMS谐振器的研究与分析 被引量:4
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作者 宋达 刘文平 +2 位作者 李铁 李昕欣 王跃林 《电子器件》 EI CAS 2005年第1期30-34,共5页
介绍了NEMS谐振器的主要特点与性能参数。并且详细讨论了NEMS谐振器的材料、制备工艺以及激励与检测手段。同时根据结构与工作模态,分类介绍了近年来国际上出现的几种典型的NEMS谐振器。最后分析了 NEMS谐振器发展所面临的挑战,并指出N... 介绍了NEMS谐振器的主要特点与性能参数。并且详细讨论了NEMS谐振器的材料、制备工艺以及激励与检测手段。同时根据结构与工作模态,分类介绍了近年来国际上出现的几种典型的NEMS谐振器。最后分析了 NEMS谐振器发展所面临的挑战,并指出NEMS谐振器将具有良好的应用与发展前景。 展开更多
关键词 NEMS 纳米技术 谐振器
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Single-frequency operation of a diode-pumped green laser using multi-Brewster plates 被引量:4
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作者 郑权 赵岭 钱龙生 《Chinese Optics Letters》 SCIE EI CAS CSCD 2003年第8期480-481,共2页
In a diode-pumped, KTP intracavity frequency-doubled green laser, multi-Brewster plates are used to achieve high power single-frequency operation. With a simple experimental setup, single-frequency operation of the di... In a diode-pumped, KTP intracavity frequency-doubled green laser, multi-Brewster plates are used to achieve high power single-frequency operation. With a simple experimental setup, single-frequency operation of the diode-pumped green laser with output of 46 and 218 mW is obtained by one and three Brewster plate, respectively. 展开更多
关键词 Mirrors Optical coatings Optical resonators Second harmonic generation
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锥变截面管形超声振动系统的设计 被引量:8
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作者 许龙 常燕 +2 位作者 郭林伟 王月兵 徐方迁 《声学学报》 EI CSCD 北大核心 2016年第1期105-114,共10页
设计了一种锥变截面管形超声振动系统,振动系统由夹心式压电换能器和锥形变截面金属圆管组成。推导了锥变截面管形超声振动系统的等效电路和谐振/反谐振频率方程。利用等效电路法、有限元法对锥变截面管形超声振动系统进行了分析设计并... 设计了一种锥变截面管形超声振动系统,振动系统由夹心式压电换能器和锥形变截面金属圆管组成。推导了锥变截面管形超声振动系统的等效电路和谐振/反谐振频率方程。利用等效电路法、有限元法对锥变截面管形超声振动系统进行了分析设计并制作了相应的实验样品。研究结果表明,锥形变截面管的等效电路为一种新型的非互易二端口等效网络;锥变截面管形超声振动系统具有较好的频率隔离性、较大的位移振幅和均匀的振动位移输出。该超声振动系统可望在超声连续缝焊、环形部件的超声切割和超声钻孔等领域获得应用。 展开更多
关键词 超声振动系统 变截面管 管形 设计 谐振频率方程 等效电路法 振动位移 压电换能器
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电弹性体力学中的偏场方法及其应用 被引量:7
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作者 杨嘉实 胡元太 杨新华 《力学进展》 EI CSCD 北大核心 2004年第3期408-426,共19页
主要综述了当前有关叠加于偏场之上的电弹性体小位移问题的求解方法,即偏场方法.首先介绍了作为偏场方法理论基础的非线性电弹性力学理论,接着总结了偏场方法的研究进展以及受偏场作用后,电弹性梁、板、壳结构的分析方法,随后综述了偏... 主要综述了当前有关叠加于偏场之上的电弹性体小位移问题的求解方法,即偏场方法.首先介绍了作为偏场方法理论基础的非线性电弹性力学理论,接着总结了偏场方法的研究进展以及受偏场作用后,电弹性梁、板、壳结构的分析方法,随后综述了偏场方法的诸多应用:其中,包括在薄壁电弹性结构屈曲分析中的应用、在记时与通信压电谐振器和基于频率漂移原理所设计的声波传感器的频率稳定性分析方面的应用、在非线性电弹性材料系数的测定以及偏场作用下电致伸缩陶瓷特征的分析等方面的应用.最后给出了该领域当前和未来的一些可能的研究课题.全文参考文献166篇. 展开更多
关键词 电弹性体力学 偏场方法 增量场 谐振器 非线性材料系数 频率漂移
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Study of the characteristics of concentration sensing based on FBG Fabry-Perot cavity 被引量:8
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作者 吴飞 朱国芳 陈曦 《Optoelectronics Letters》 EI 2009年第2期138-142,共5页
Fiber Bragg grating Fabry-Perot (FBG F-P) cavity is used as the sensing model to measure the refractive index of the liquid solution. The cladding of the fiber, which is used as the F-P cavity, is etched by HF solutio... Fiber Bragg grating Fabry-Perot (FBG F-P) cavity is used as the sensing model to measure the refractive index of the liquid solution. The cladding of the fiber, which is used as the F-P cavity, is etched by HF solution to enhance the sensitivity to the external refractive index. The experimental results show that with the concentration change of the external solution, the effective refractive index of etched fiber will change, thus the spectra of FBG F-P cavity will appear a spilt point. The relationship be... 展开更多
关键词 Cavity resonators FABRY Perot interferometers Fiber Bragg gratings Fibers Hydrofluoric acid Light refraction Refractive index REFRACTOMETERS
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离心风机蜗舌共振器优化方法的改进 被引量:5
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作者 程序 朱斌生 +1 位作者 张建润 孙庆鸿 《东南大学学报(自然科学版)》 EI CAS CSCD 1996年第5期115-118,共4页
离心风机蜗舌共振器优化方法的改进程序朱斌生张建润孙庆鸿(东南大学机械工程系,南京210018)W.Neise和G.H.Koopmann于1980年首次用λ/4共振器来降低离心风机噪声,取得了良好的效果[1],近年来已... 离心风机蜗舌共振器优化方法的改进程序朱斌生张建润孙庆鸿(东南大学机械工程系,南京210018)W.Neise和G.H.Koopmann于1980年首次用λ/4共振器来降低离心风机噪声,取得了良好的效果[1],近年来已得到广泛的应用和深入的研究[2~... 展开更多
关键词 离心风机 蜗舌共振器 噪声 共振器 优化法
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Suppression of mode competition in fiber lasers by using a saturable absorber and a fiber ring 被引量:4
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作者 杨敬 瞿荣辉 +3 位作者 孙国勇 耿建新 蔡海文 方祖捷 《Chinese Optics Letters》 SCIE EI CAS CSCD 2006年第7期410-412,共3页
An erbium-doped fiber (EDF) laser was configured with a fiber grating, a fiber ring resonator, and a saturable absorber by using un-pumped EDF as mode selection element. The laser showed single mode operation with a... An erbium-doped fiber (EDF) laser was configured with a fiber grating, a fiber ring resonator, and a saturable absorber by using un-pumped EDF as mode selection element. The laser showed single mode operation with a narrow linewidth of 5 kHz. The mode selection mechanisms of the un-pumped EDF and the ring resonator are theoretically and experimentally analyzed. 展开更多
关键词 ERBIUM Laser modes resonators
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All solid-state sum-frequency generation of 1.12-W continuous-wave laser at 588 nm 被引量:4
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作者 吕彦飞 张喜和 姚治海 《Chinese Optics Letters》 SCIE EI CAS CSCD 2007年第6期353-354,共2页
A new resonator design for doubly resonant continuous-wave (CW) intracavity sum-frequency mixing (SFM) is reported. 1.12 W of coherent radiation at 588 nm is generated by mixing 1062-nm Nd:GdVO4 laser and 1319-nm... A new resonator design for doubly resonant continuous-wave (CW) intracavity sum-frequency mixing (SFM) is reported. 1.12 W of coherent radiation at 588 nm is generated by mixing 1062-nm Nd:GdVO4 laser and 1319-nm Nd:YAG laser. The optical-to-optical conversion efficiency is up to 3.7%. 展开更多
关键词 Conversion efficiency resonators
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Non-volatile dynamically switchable color display via chalcogenide stepwise cavity resonators 被引量:1
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作者 Kuan Liu Zhenyuan Lin +2 位作者 Bing Han Minghui Hong Tun Cao 《Opto-Electronic Advances》 SCIE EI CAS CSCD 2024年第1期16-27,共12页
High-resolution multi-color printing relies upon pixelated optical nanostructures,which is crucial to promote color display by producing nonbleaching colors,yet requires simplicity in fabrication and dynamic switching... High-resolution multi-color printing relies upon pixelated optical nanostructures,which is crucial to promote color display by producing nonbleaching colors,yet requires simplicity in fabrication and dynamic switching.Antimony trisulfide(Sb_(2)S_(3))is a newly rising chalcogenide material that possesses prompt and significant transition of its optical characteristics in the visible region between amorphous and crystalline phases,which holds the key to color-varying devices.Herein,we proposed a dynamically switchable color printing method using Sb_(2)S_(3)-based stepwise pixelated Fabry-Pérot(FP)cavities with various cavity lengths.The device was fabricated by employing a direct laser patterning that is a less timeconsuming,more approachable,and low-cost technique.As switching the state of Sb_(2)S_(3) between amorphous and crystalline,the multi-color of stepwise pixelated FP cavities can be actively changed.The color variation is due to the profound change in the refractive index of Sb_(2)S_(3) over the visible spectrum during its phase transition.Moreover,we directly fabricated sub-50 nm nano-grating on ultrathin Sb_(2)S_(3) laminate via microsphere 800-nm femtosecond laser irradiation in far field.The minimum feature size can be further decreased down to~45 nm(λ/17)by varying the thickness of Sb_(2)S_(3) film.Ultrafast switchable Sb_(2)S_(3) photonic devices can take one step toward the next generation of inkless erasable papers or displays and enable information encryption,camouflaging surfaces,anticounterfeiting,etc.Importantly,our work explores the prospects of rapid and rewritable fabrication of periodic structures with nano-scale resolution and can serve as a guideline for further development of chalcogenide-based photonics components. 展开更多
关键词 TUNABLE color displays Fabry-Pérot cavity resonators color printing chalcogenide materials
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Vectorial Structure of Non-Paraxial Linearly Polarized Gaussian Beam in Far Field 被引量:5
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作者 周国泉 陈亮 倪涌舟 《Chinese Physics Letters》 SCIE CAS CSCD 2006年第5期1180-1183,共4页
According to the vectorial structure of non-paraxial electromagnetic beams and the method of stationary phase, the analytical TE and TM terms of non-paraxial linearly polarized Caussian beam are presented in the far f... According to the vectorial structure of non-paraxial electromagnetic beams and the method of stationary phase, the analytical TE and TM terms of non-paraxial linearly polarized Caussian beam are presented in the far field. The influence of linearly polarized angle on the relative energy flux distributions of the whole beam and its TE and TM terms is studied. The beam spot of the TE term is perpendicular to the direction of linearly polarized angle, while that of the TM term coincides with the direction of linearly polarized angle. The whole beam spot is elliptical, and the long axis is located at the direction of linearly polarized angle. The relative energy flux distribution of the TE term is relatively centralized in the direction perpendicular to the linearly polarized angle. While that of the TM term is relatively centralized in the direction of linearly polarized angle. To obtain the isolated TM and TE terms, a polarizer should be put at the long and the short axis of the whole beam spot, respectively. 展开更多
关键词 LASER-BEAMS APPROXIMATION PROPAGATION resonators CAVITY
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