Transmission Properties of One-Dimensional Galois Phononic Crystals

Acoustical Physics - A one-dimensional phononic crystal model based on Galois structure is proposed. The transmission coefficients of the elastic waves are numerically calculated and compared with...     

Boundary-Connected Higher Order Weyl Semimetals in a Helix-Shaped Phononic Crystal

The proposal of higher-order topology leads to intriguing wave propagation properties beyond the conventional bulk-boundary principle in condensed matter physics. Theoretical and experimental models have been conducted to reveal exotic higher-order hinge and corner states in lower dimensions. Meanwhile, this concept is extended to semimetals and verified in platforms like acoustic and photonic systems. However, most existing schemes are confined to C_n-symmetric-like frameworks. Here a phononic higher-order Weyl semimetal (HOWSM) is put forward by introductions of artificial gauge flux shape. Distinguished from most existing schemes, the traditional two-dimensional lattice with a vertical screw-extending operation is deformed, which guarantees the emergence of higher-order Weyl points. The invariant index is utilized to measure different phases between non-trivial topological and normal insulators visibly. Simulation results indicate that the structure supports robust hinge wave transmission in a piling sample. This work brings new approaches for constructing HOWSMs and enriches the potential applications in manufacturing high-performance acoustic devices.     

Symmetric and Anti-Symmetric Lamb Waves in a Two-Dimensional Phononic Crystal Plate

It is weft known that Lamb waves in a plate with a mirror plane can be separated into two uncoupled sets： symmetric and anti-symmetric modes. Based on this property, we present a revised plane wave expansion method （PWE） to calculate the band structure of a phononie crystal （PC） plate with a mirror plane. The developed PWE method can be used to calculate the band structure of symmetric and anti-symmetric modes separately, by which the depending relationship between the partial acoustic band gap （PABG）, which belongs to the symmetric and anti-symmetric modes alternatively, and the position of the scatterers can be determined. As an example of its application, the band structure of the Lamb modes in a two-dimensional PC plate with two layers of void circular inclusions is investigated. The results show that the band structure for the symmetric and anti-symmetric modes can be changed by the position of the scatterers drastically, and larger PABGs will be opened when the scatterers are inserted into the area of the plate, where the elastic potential energy is concentrated.     

An Analytical Inverse Approach to Design GRIN Lenses

Acoustical Physics - An analytical inverse method to design lenses of isotropic inhomogeneous refractive index (RI) distribution is presented, where the wave ray propagation is described by the...     

Tracking Desired Trajectory in a Vibro-Impact System Using Backstepping Design

Based on the backstepping design of smooth systems, we developed a new control law to achieve chaos control for a vibro-impact system. In our control strategy, a novel and effective controller is designed such that the output of the vibro-impact system can track any desired trajectory in its domain. The single-degree-of-freedom vibro-impact system is taken as an example to show this control procedure. Numerical simulations are provided to verify the effectiveness of the proposed method.     

固-液结构圆柱声子晶体中弹性波的模式和带隙

利用一维固-液结构圆柱声子晶体中弹性波横向受限的条件,推导弹性波在一维固-液结构圆柱声子晶体中各个模式满足的关系式,研究各个模式弹性波的特征.并用色散函数计算各模式弹性波的带隙随模式量子数和圆柱半径的变化规律.得出一维固-液结构圆柱声子晶体的带隙由模式量子数和圆柱半径确定.     

弹性波斜入射声子晶体的缺陷模及其转型

推导出弹性波斜入射固-固掺杂结构声子晶体的转移矩阵和透射系数公式.计算固-固掺杂结构声子晶体中弹性波的透射系数.得到当横波斜入射时,透射波中横波的缺陷模随着入射角的增大而减弱,横波向纵波的转型随着入射角的增大而增强.当纵波斜入射时,透射波中纵波的缺陷模随着入射角的增大而减弱,纵波向横波的转型随着入射角的增大而增强.     

局域共振单元与薄膜复合声子晶体板结构的低频降噪

提出了一种局域共振单元复合声子晶体板结构,并结合有限元对晶体板结构的带隙特性、隔声性能进行了分析.结果表明,共振带隙的产生是由共振单元与板中传播的弹性波相互耦合造成的,耦合强度直接影响共振频率和带隙宽度,隔声效果与薄膜的厚度直接相关.通过改变薄膜的厚度可以将隔声效果调节到满足机舱飞行员正常驾驶的要求.该结构在200dB以下具有良好的隔振效果,最大隔声量达到150dB.该研究为获得良好的隔声效果提供了理论支持,在航空发动机减振降噪方面具有潜在的应用前景.     

用负反馈控制混沌Lorenz系统到达任意目标

研究了用非线性反馈控制混沌Lorenz系统的方法,经理论分析,给出了反馈控制函数的表达 式和混沌控制的期望结果,理论结果和数值结果一致表明,不同的控制函数可使系统稳定在不同的目标点或不同的周期轨道上. 关键词：     

一维光子晶体的透射率特性

基于传输矩阵法,设计多层一维光子晶体,改变层数和入射角度,应用MATLAB语言进行仿真计算,得到入射角度为0.2rad时,8、16、24层和32层一维光子晶体在[9.77-23.39]THz频范围内存在一个低传输率的传输禁带,只是在两侧的低频和高频部分Fabry-Perot峰变得越来越紧密.改变入射角度为0.1rad、0.2rad和0.3rad时,在低频带范围Fabry-Perot峰变化不大,传输禁带依次增大,高频带部分逐渐压缩.研究结论为一维光子晶体传输器件的设计提供参考.     

单负材料一维光子晶体的透射谱特性

利用传输矩阵法研究了单负材料一维光子晶体(AB)m(ADBDB)n(AB)mA的透射谱,发现:透射谱中出现2个共振隧穿模,其位置和间距可由周期数m或n,以及介质层厚度d调节控制。改变m,会出现2个恒定间距的共振隧穿模;改变dA,共振隧穿模间距增大,且当dA≥25mm时,间距增大加剧;改变n,共振隧穿模逐渐趋于简并,当n≥6时,两隧穿模合二为一;改变dD,两共振隧穿模亦逐渐趋于简并,当dD≥20mm时,两隧穿模亦合二为一。这些特性可为利用光子晶体设计可调性高品质单通道、双通道滤波器提供参考。     

Transmission Frequency Properties of Elastic Waves along a Hetero-Phononic Crystal Waveguide

We investigate the propagation properties of hetero-phononic crystal waveguides by the improved eigen-mode matching theory, which can be used at same time to calculate both the transmission （reflection） coefficient and band structure. The numerical results show that the transmission frequency range is the same as the common range for two uniform waveguides composing the hereto-system, and the gap of any composite waveguide is also the gap of the hetero-phononic crystals waveguide.     

二维光子晶体层状超晶格透射特性研究

把平面波展开法(Plane Wave Expansion Method,PWM)用于数值研究圆柱柱体粗细及折射率层状间隔构成的二维光子晶体超晶格的传输特性.数值结果表明,层状超晶格的透射谱中禁带宽度在柱体折射率相同时与粗细柱体半径差异成线性关系,半径相差越大禁带宽度越小,禁带中心位置越向低频方向移动.在半径相同时禁带宽度与层间折射率差异同样成线性关系,折射率相差越大禁带宽度越小,禁带中心位置越向低频方向移动.因此人们可以根据实际应用中的禁带需要利用上述各种可调因素进行调节.     

二维光子晶体六通道波分复用器的透射谱

设计了一种由微米尺度二维光子晶体构成的六通道波分复用系统。该系统包括利用光子晶体线缺陷实现的波导部分和利用光子晶体微腔实现的频率选择部分。采用时域有限差分方法（FDTD）,研究光在该系统中的传输特性。     

Integrating the Toda Lattice with Self-Consistent Source via Inverse Scattering Method

In this work, there is shown that the solutions of Toda lattice with self-consistent source can be found by the inverse scattering method for the discrete Sturm-Liuville operator. For the considered problem the one-soliton solution is obtained.     

Inverse Design of Photonic Systems

Inverse design methods use optimization and learning algorithms to pair desired functionalities with the corresponding high-performing systems. Such methods have significant potential for discovering novel photonics solutions, with inverse design techniques already mediating significant milestones in nanophotonics, quantum optics, and lens systems. However, while computational tools for identifying optimal system parameters (i.e., component settings) have reached significant maturity, the identification of suitable system topologies (i.e., component choice and arrangement) has remained challenging, especially for the design of complex photonic schemes. Here, a framework for the inverse design of practical photonic systems is presented, capable of efficiently and automatically searching for high-performance topologies and their associated operational parameters. It is demonstrated that the approach can aid in the discovery of practical photonic systems, that are both physically feasible and non-trivial, by leveraging system-level automatic differentiation and discrete topological changes. The versatility of the platform is supported with example designs for waveform generation, noise suppression, and sensing, among others.     

表面辐射测温方法的设计原理

讨论了表面辐射测温方法的设计中所包含的几个基本问题:辐射的光谱和方向复杂性问题、光学设计问题以及电路设计问题,给出了具有普适意义的辐射测温基本分析式。比较了绝对辐射测温方法和相对辐射测温方法,指出前者须做标定,并且不宜进行温度场测量;后者无须标定,适合于温度场测量。     

低压化学气相沉积技术制备锗反蛋白石三维光子晶体

采用溶剂蒸发对流自组装法将单分散SiO2微球组装形成三维有序胶体晶体模板,用低压化学气相沉积法填充高折射率材料锗,酸洗去除SiO2模板,获得了锗反蛋白石三维光子晶体.通过扫描电镜、X射线衍射仪和紫外-可见-近红外光谱仪对锗反蛋白石的形貌、成分、结构和光学性能进行了表征.结果表明:锗在SiO2微球空隙内具有较高的结晶质量,填充致密均匀.通过改变沉积工艺,可控制锗的填充率;制备的锗反蛋白三维光子晶体具有明显的光学反射峰,表现出光学带隙效应.测试的光学性能与理论计算基本吻合.