Influence of slit width on the electromagnetic transmission of a periodic metallic grating

The light transmittance of a periodic metallic grating with varied slit widths has been investigated. The transmission peaks move to the shorter wavelength direction with an increase in the width of slits while keeping the other parameters unchanged. It was demonstrated that the slit width affects the spectral transmittance of the metal grating significantly. It was also found that the effective refractive index and cavity modes in slits are responsible for this phenomenon. Cavity modes play an important role in extraordinary transmission of the sub-wavelength aperture grating. When a complete resonant mode forms in the slits, a high transmission will appear. A wider slit results in a smaller efficient refractive index and thus affects the cavity mode in the slits. These two elements cause the transmission peaks to move to the shorter wavelength direction with widening of slits. The results obtained here may provide a useful guide to design metallic slit grating devices.     

Transmission of light through metallic Z-shaped slit array with inner metallic bar

The transmission of a normally incident wave through a Z-shaped channel metallic slit array with metallic bar inside has been investigated by using finite-difference time-domain method. It is obtained that transmission spectra are nearly the same of the slit array with straight channel as that with Z-shaped channel in the condition the material of the slit array the same as that of the inner bar. If the Au bar is replaced by Al of the Au slit array, both resonance modes red shift obviously, especially for the structure with bent channel. Along with the width of the inner bar increasing, the localized waveguide resonance mode red shifts regularly with a tiny decrease of the peak value of all the kinds of composed structure introduced here, and the surface plasmon resonance mode red shifts regularly accompanied by peak value changing uniformly for the structures with only one type of metal. However, the surface plasmon resonance behaves different obviously, its center peak first moves to a larger wavelength fast, then red shifts slowly, for the Au-film Al-bar structure, but that moves in a very small wavelength range for the Al-film Au-bar one. The results obtained here are helpful to design subwavelength optical devices.     

Extraordinary THz transmission through subwavelength semiconductor slits under antiparallel external magnetic fields

We theoretically study the resonant transmission of electromagnetic waves at the THz frequencies through subwavelength semiconductor slits under external static magnetic fields. The dispersion relations of the surface plasmon polaritons (SPPs) inside a subwavelength slit are analytically derived. It is found that the SPPs propagating along one direction and its reverse are symmetric when parallel external magnetic fields are applied, but are asymmetric when antiparallel external magnetic fields are applied. The transmission properties of periodic subwavelength semiconductor slit arrays with the antiparallel magnetic fields in each unit cell are investigated by the mode expansion technique. The two significant transmission characteristics are observed: (i) The resonant peaks are redshifted with increasing external magnetic fields; (ii) The transmissions in the two opposite directions through the slit arrays are asymmetric. The origin of the transmission asymmetry is reasonably explained by the magnetic-field induced asymmetric SPP propagation losses.     

Adjustable plasmon resonances through an H-shaped metallic grating

We propose an H-shaped metallic grating and investigate its surface plasmon resonance properties. The result shows the formation process of the transmission spectra of the H-shaped grating by adjusting the depths of the arm cuts, and a band gap is formed on the region of short wavelength. It is also presented that the transmission of the H-shaped grating sensitively depends on the width and position of the arm slit, noticeable magnitude modification, redshift and blueshift, meld and split of the resonance peaks are found. In addition, the resonance peaks exhibit dips in the transmission spectrum when the two slit widths are different, and the dips are tunable by changing any one slit width for fixed another slit. To understand its physical origin, a field-interference mechanism, the Fabry–Pérot-like resonance theory and the phase resonance mechanism have been suggested, respectively. By selecting appropriate structural parameters, an H-shaped metallic grating for optical filter and channel selecting devices can be constructed.     

微型腔单一亚波长金属狭缝的光波透射

 利用时域有限差分法模拟了厚金属层上单一亚波长狭缝内壁刻有一微型腔结构光波传输,结果发现在特定波长发生异常的增强透射。结合透射峰值对应波长近场分布,利用麦克斯韦方程组和波导理论对增强透射进行解释,认为光波在微型腔和狭缝中形成共振腔模起了重要作用:在狭缝内形成纵模,可以形成透射峰;在腔内形成不同的腔模也可以形成透射模。     

Effects of a bar on optical transmission through Z-shaped metallic slit arrays

We investigate the effects of a bar on optical transmission through Z-shaped metallic slit arrays by using the finite-difference time domain (FDTD) method. A new hybrid Fabry-Perot (FP) surface plasmon polariton (SPP) mode emerges when changing the geometric parameters of the bar, and this mode can be viewed as a coupling between FP mode and SPP mode. In addition, an obvious dip appears in a featured area when the bar deviates from the central line, and a small displacement of the bar leads to tremendous change of the dip. These behaviors can be attributed to the phase resonance. In short, the structure is very sensitive to the metal bar. Furthermore, it combines photonic device miniaturization with sensitivity, which is useful for making optical switches.     

Mode analysis of trilaminar bender bar transducers using an approximation method

Based on the vibration theory of a thin plate, an analytical treatment of the trilaminar bender bar with piezoelectric elements and inert substrate of various lengths is presented for mode analysis. Resonance frequency and effective electromechanical coupling coefficient are calculated by this method. The impacts of the geometries of the bender bar on the performance of its fundamental and third-order flexural mode are investigated in detail under rigid boundary conditions. It is shown that resonance frequency is extremely sensitive to the thickness of inert substrate. Moreover, the effective electromechanical coupling coefficient has peaks as the length of piezoelectric elements varies. The peaks are achieved when the length of piezoelectric elements equals the length between two nodes having zero strains in the x-direction. The trilaminar bender bar will be effectively excited when the strains on the piezoelectric element are in the same phase, which is important to disclose the vibration mechanisms of this kind of transducer. Also, analytical results are compared with the ones of numerical simulation. The results suggest that effective electromechanical coupling coefficient shares similar patterns with electrical conductance, which can be used to characterize transducer performance to a certain extent. It also demonstrates that the analytical treatment provides an efficient alternative way for optimizing the bender bar transducer design.     

Scattering mechanism in a step-modulated subwavelength metal slit: a multi-mode multi-reflection analysis

In this paper, the scattering/transmission inside a step-modulated subwavelength metal slit is investigated in detail. We firstly investigate the scattering in a junction structure by two types of structural changes. The variation of transmission and reflection coefficients depending on structural parameters are analysed. Then a multi-mode multi-reflection model based on ray theory is proposed to illustrate the transmission in the step-modulated slit explicitly. The key parts of this model are the multi-mode excitation and the superposition procedure of the scatterings from all possible modes, which represent the interference and energy transfer occurring at the interfaces. The method we use is an improved modal expansion method (MEM), which is a more practical and efficient version compared with the previous one [C. Li, Y.S. Zhou, H.Y. Wang, F.H. Wang, Opt. Express 19, 10073 (2011)]. In addition, some commonly used methods including FDTD, scattering matrix method and improved characteristic impedance method are compared with MEM to highlight the accuracy of these methods.     

一维周期性增益介质的临界长度

用传输矩阵方法研究了一维周期性增益介质的透射频谱随系统层数的变化规律.研究发现：对层数一定的介质,透射率在某些频率上有很大的峰值;增加层数,尖峰在频谱图上出现的位置会发生移动,且对不同的频段,其位置随介质层数的变化规律是不同的.考察了这种系统中每个频率的光所对应的临界长度,解释了不同频段激光出现位置随层数变化的规律.比较了周期系统和随机系统中临界长度与频率关系的异同,用群速度理论和能带理论对此做了解释.     

Controllable electromagnetic transmission based on metallic nanoslit with a microcavity

In this paper, we explore the electromagnetic transmission through a vertical metallic nanoslit with a horizontal microcavity. The introduction of microcavity gives rise to the changes of slit transmission spectrum in the number and amplitude of transmission peak and dip, owing to the electromagnetic coupling between slit and microcavity. The transmission through the slit with microcavity strongly depends on whether the isolated slit is in resonance or not, and the microcavity resonance is an additional factor that influences the transmission. The transmission spectrum can be adjusted by changing the opening position of slit, and the slit depth, the width and depth of microcavity. Our results are analysed and discussed from the view of Fano resonance. These results may be of value in tuning electromagnetic wave in subwavelength optics and designing plasmonic devices based on composite metallic nanoslit structures.     

介质覆层下金属周期结构变化对TE波异常透射特性的影响

根据金属光栅结构变化对TE波异常透射特性影响的研究需要,建立了相应的模型。应用时域有限差分(FDTD)方法分别计算了单缝结构、多缝结构、不同宽度和不同周期等结构下的透射分布特征。研究发现添加凹槽会对金属表面能量的传递起阻碍作用。透射频域宽度随薄膜宽度增加而增加。随着狭缝宽度的增加,透射率分布曲线包络线趋于平坦,主透射峰短波长侧透射曲线分布基本不变,而主透射峰及其长波长侧的透射曲线分布变宽。这说明宽度的变化影响了表面共振模式,从而影响透射的分布。单个狭缝的透射与多周期结构相比,透射率曲线几乎重合,表明狭缝对表面模式没有调制作用,各狭缝的透射相对独立。     

基于经验模态分解提高太赫兹频率分辨率的方法

太赫兹频率分辨率是影响物质鉴别的重要因素,但是由于太赫兹时域光谱系统中存在器件反射,使得参考信号和测量信号出现多个反射峰,时域信号长度截断导致频率分辨率很低。为了去除反射峰的影响,提出基于经验模态分解去除时域反射峰,从而提高太赫兹频率分辨率的方法。通过与太赫兹主峰的互相关定位时域反射峰,计算反射峰的上下包络和求平均值,获取本征模函数并代替反射峰,增加时域信号有效长度,提高太赫兹频域分辨率。空气中水蒸汽的太赫兹透射谱实验结果表明,该方法具有自适应去除多个反射峰的能力,对太赫兹时域信号修复效果良好,频率分辨率提高了12倍,而且未丢失有用的吸收谱信息,吸收峰的位置和个数与真实谱一致,很好地保留了太赫兹谱的鉴别能力。     

光子晶体光纤布拉格光栅传输谱特性的分析

研究光子晶体光纤中光纤光栅的传输谱特性对于研制基于光子晶体光纤的光纤光栅器件有着重要的意义。结合耦合模理论和光束传输相关函数方法,对一种典型光子晶体光纤中的布拉格光栅(FBG)传输谱进行了理论分析。比较了光子晶体光纤中布拉格光栅与常规布拉格光栅的传输谱。数值分析了光纤截面结构变化对于光栅传输谱的影响,并给出这种影响的定性解释。计算结果显示,与常规光纤光栅相比,包层模共振引起的损耗峰与正反向纤芯模耦合引起的损耗峰可以相比拟,而包层模共振的间隔也比常规光纤中光纤光栅的包层模共振间隔要大。同时给出了晶体光纤截面上空气孔的占空比,空气孔的排布层数对于传输谱影响的规律。     

Enhanced vacuum Rabi splitting and double dark states in a composite atom-cavity system

The transmission spectrum of four-level atoms in a cavity is calculated. It is shown that the four separate peaks associated with normal mode splitting and intra-cavity double dark states can be observed simultaneously. The position and intensity of the four peaks can be controlled by the intensity of the third interacting light. Therefore, the enhancement of normal mode splitting by a third coupling light of the intra-cavity four-level atoms is developed.      

Enhanced optical transmission of non-coaxial double-layer gold nano-slit with slanted sidewall arrays

We present the numerical investigation of the optical transmission through the non-coaxial double-layer gold nano-slit with slanted sidewall arrays by using the finite-difference time-domain (FDTD) method. It is found that there mainly exist three resonant peaks in the transmission spectra and the transmission behaviors are strongly dependent on the lateral displacement, the slit widths, the layer separation and the thickness of the film. Based on the field distribution, we show that the two short wavelength transmission peaks are characterized as the surface plasmon resonance, while the long wavelength transmission peak is characterized as the localized waveguide resonance.     

相移长周期光栅及其在增益谱平坦化中的应用

用耦合模方法和传输矩阵法相结合对长周期光栅的传输光谱特性进行了研究, 提出了用相移长周期光栅使双峰的增益谱线平坦化。理论证明, 实现这样的平坦化是可行的。     

Numerical analysis of the three co-directional guided modes in optical period dielectric waveguides using inverse Gaussian apodization

We describe and analyze the inverse Gaussian apodization among the three co-directional guided modes using the supermodes theory and the transfer matrix method. The propagation condition is related to the two phase matching distribution induced by two long period co-spatial gratings. It is seen that one input mode can be converted into another two modes with each mode having two peaks at its transmission spectrum. Through adopting the inverse Gaussian apodization, the input mode A turns to having two peaks while the converted mode B has six peaks and mode C has three peaks around the central frequency in the transmission spectrum. Of particular interest is when adjusting the maximum coupling apodization strength from 100 to 1500, the frequency space in mode A changes nearly linearly from 340 GHz to 5100 GHz which is twice of the mode B at each coupling strength, while the mode C can be turned nearly linearly from 350 GHz to 5200 GHz. Additionally, the power at the central frequency of input mode A will almost totally move to the converted mode C. This kind of design can form the basis for a new generation of multi-wavelength-tunable bandpass optical filtering mode converting, add/drop multiplexing and optical switching.     

折射率不敏感的级联型单模-少模-单模光纤温度传感器

提出了一种折射率不敏感的级联型单模-少模-单模光纤温度传感器。在制作传感器的过程中,设置熔接电流为100 mA,通过将少模光纤与单模光纤进行无错位熔接,以激发稳定的传输模式,形成光纤马赫-曾德尔干涉仪。由于外界环境的改变会引起少模光纤中不同模式之间相位差的改变,从而导致干涉条纹的漂移,因此通过检测干涉条纹的漂移量就可以实现待测参数的检测。少模光纤可以传输LP₀₁,LP₁₁,LP₂₁,LP₀₂共四种模式的光。实验中对长度为81.5 mm的传感器光谱进行分析可知,发生干涉的两个模式主要是LP₀₁模和LP₁₁模。利用该长度的级联型单模-少模-单模光纤传感器进行折射率和温度传感实验,结果表明,随着传感器温度不断的增加,其传输光谱出现了明显的蓝移现象,在27.6~93.8 ℃的温度变化范围内,灵敏度高达-85.9 pm·℃-1,且具有较好的线性度;在甘油折射率为1.347 1~1.443 9变化范围内,其传输光谱没有出现明显的漂移现象,灵敏度仅为3.697 34 nm·RIU-1,具有折射率不敏感特性。因此,相对于传统的包层模干涉型与多模干涉型光纤传感器,所提出的基于FMF的传感器更易于实现对传输模式的控制与分析,且具有结构简单、易于制备、灵敏度高等优点,能够避免温度与折射率同测的交叉敏感问题,可用于电力系统、生物医学、航空航天等领域的温度检测。     

含负折射率材料的异质结构光子晶体的光学传输特性

利用传输矩阵法研究了正负折射率材料构成的异质结构光子晶体的光学传输特性。结果表明:当入射波正入射时,在这种异质结构光子晶体内出现了光子带隙,并且带隙内出现了3个极窄的透射峰,这是正负交替光子晶体和常规材料构成的同周期一维异质结构光子晶体所不具有的新颖物理特性。计算了这种异质结构光子晶体的透射谱。发现:这3个透射峰不敏感于入射角的变化,而在带隙两侧的透射峰则会随着入射角增大统一向带隙靠近;能带敏感于晶格厚度和周期数的变化。     

耦合双原子Jaynes-Cummings模型的腔场谱H

研究了处于激发态的两原子与高Q腔场相互作用单光子过程的腔场谱,给出了初始光场为光子数态、相干态、压缩真空态时的腔场谱数值计算结果,分析了原子间偶极-偶极相互作用强度gα对腔场谱结构的影响.发现真空场Rabi峰,当gα较弱时为4峰,gα较强时为3峰结构;弱场数态(n＞0)时为5峰,强场时为3峰结构.相干态和压缩真空态时,谱结构与光子数分布有关,一般为复杂的多峰结构.结果表明,gα对峰位峰高都有影响,破坏了谱结构的对称性,但这种影响只在真空场和弱场时才较明显.