稀土离子掺杂纳米TiO_2的太赫兹光谱研究

对sol-gel法制备的不同稀土元素(Ce,Nd,Sm)掺杂的纳米TiO2粒子进行研究。X射线衍射(XRD)和X射线光电子能谱(XPS)分析结果表明,稀土离子均以间隙的形式均匀分布在纳米TiO2晶格内。傅里叶变换红外光谱(FTIR)和太赫兹时域光谱(THz-TDS)显示,掺杂TiO2较纯TiO2具有更强的红外活性;在0.2~1.70 THz波段,TiO2的折射率随着频率的增加而减小,并呈现反常色散现象;Ce掺杂引起新的特征吸收,分别为1.35和1.58 THz,且造成太赫兹吸收谱的吸收边发生红移,Nd和Sm掺杂则造成吸收边蓝移。在0.2~1.7 THz范围内,Sm掺杂引起的介电损耗角正切值(taneδ)最小,其平均值为0.05。     

Incorporating the Havriliak–Negami dielectric model in the FD-TD method

We derive and analyze an efficient algorithm to incorporate the anomalously dispersive Havriliak–Negami dielectric model of induced polarization in the Finite-difference time-domain (FD-TD) method. Our algorithm implements this dielectric model, which in the time-domain involves fractional derivatives and fractional differential operators, with a preset error over the desired computational time interval [0,T_comp] and correctly takes into account the singularity at t = 0⁺ of the corresponding time-domain dielectric susceptibility. The overall algorithm is shown to be second-order accurate in space and time, and to obey the standard FD-TD stability condition. Numerical experiments confirm our analysis.     

双向粘弹性节理岩体时域等效分析

以双向粘弹性节理岩体为研究对象,基于一种简单等效假定和自适应算法,并结合有限元方法,得到递推格式的等效本构模型和等效粘弹性场计算模型.通过算例,将等效解与基于ANSYS的非均质解进行比较.从计算精度和效率平衡的角度而言,等效模型的结果是令人满意的.     

A High-Power Reflector Impulse Antenna with Dual-Tem Source

There are different demands on radiation efficiency and direction pattern according to various ultra-wideband (UWB) antennas and high power applications. To obtain more radiating gain on bore-sight of paraboloidal reflector and centralized radiating direction, a novel feeding structure called dual-TEM source has been designed and applied in half-paraboloidal reflector impulse radiating antenna (IRA) applications. Simulation results proved that this proposed half-paraboloidal reflector IRA with dual-TEM source provided greater radiation performance on bore-sight as a result of the synthesized power in the aperture space of paraboloid. Moreover, lots of simulation work and comparison have been done in different feeding models to summarize a relative optimal feeding structure.     

Numerical solution to the Kolmogorov-Feller equation

A finite-difference method is proposed for solving the Kolmogorov-Feller integro-differential equation. The numerical scheme constructed is an unconditionally stable marching scheme, and the boundary conditions are determined on the basis of an explicit solution to the original equation at boundary points.     

Conservative finite-difference scheme for the problem of propagation of a femtosecond pulse in a nonlinear photonic crystal with nonreflecting boundary conditions

Conservative finite-difference schemes are constructed for the problems of self-action of a femtosecond laser pulse and of second-harmonic generation in a one-dimensional nonlinear photonic crystal with nonreflecting boundary conditions. The invariants of the governing equations are found taking into account these conditions. Nonreflecting conditions substantially improve the efficiency of conservative finite-difference schemes used in the modeling of complex nonlinear effects in photonic crystals, which require much smaller steps in space and time than those used in the case of linear propagation. The numerical experiments performed show that the boundary reflects no more than 0.01% of the transmitted energy, which corresponds to the truncation error in the boundary conditions. The amplitude of the reflected pulse is less than that of the pulse transmitted through the boundary by two (and more) orders of magnitude. The simulation is based on the approach proposed by the authors for the given class of problems.     

Woodpile结构中锯齿波导的研究

采用时域有限差分方法（FDTD）,详细设计、模拟和分析了woodpile结构中锯齿波导的传输特性。模拟结果表明：通过改变波导中相邻锯齿的长度,可以有效控制波导的导带范围;且利用锯齿波导设计灵活的特性,可以设计沿任意方向传输的波导结构。利用导带范围受相邻锯齿长度调控这一特点,设计、模拟并分析了由锯齿型波导形成的Y型波分复用器,两输出通道中锯齿长度分别取0.3a-0.5a和0.3a-0.8a,模拟结果表明两输出通道导带范围完全不同,充分说明在器件设计中可以引入锯齿型波导,通过调节锯齿长度实现频率选择的特性。     

Simulation of the interaction of light with 3-D metallic nanostructures using a proper orthogonal decomposition-Galerkin reduced-order discontinuous Galerkin time-domain method

In this artice, we report on a reduced-order model (ROM) based on the proper orthogonal decomposition (POD) technique for the system of 3-D time-domain Maxwell's equations coupled to a Drude dispersion model, which is employed to describe the interaction of light with nanometer scale metallic structures. By using the singular value decomposition (SVD) method, the POD basis vectors are extracted offline from the snapshots produced by a high order discontinuous Galerkin time-domain (DGTD) solver. With a Galerkin projection and a second order leap-frog (LF₂) time discretization, a discrete ROM is constructed. The stability condition of the ROM is then analyzed. In particular, when the boundary is a perfect electric conductor condition, the global energy of the ROM is bounded, which is consistent with the characteristics of global energy in the DGTD method. It is shown that the ROM based on Galerkin projection can maintain the stability characteristics of the original high dimensional model. Numerical experiments are presented to verify the accuracy, demonstrate the capabilities of the POD-based ROM and assess its efficiency for 3-D nanophotonic problems.     

Electronic properties of 2H-stacking bilayer MoS2 measured by terahertz time-domain spectroscopy

Bilayer (BL) molybdenum disulfide (MoS₂) is one of the most important electronic structures not only in valleytronics but also in realizing twistronic systems on the basis of the topological mosaics in moiré superlattices. In this work, BL MoS₂ on sapphire substrate with 2H-stacking structure is fabricated. We apply the terahertz (THz) time-domain spectroscopy (TDS) for examining the basic optoelectronic properties of this kind of BL MoS₂. The optical conductivity of BL MoS₂ is obtained in temperature regime from 80 K to 280 K. Through fitting the experimental data with the theoretical formula, the key sample parameters of BL MoS₂ can be determined, such as the electron density, the electronic relaxation time and the electronic localization factor. The temperature dependence of these parameters is examined and analyzed. We find that, similar to monolayer (ML) MoS₂, BL MoS₂ with 2H-stacking can respond strongly to THz radiation field and show semiconductor-like optoelectronic features. The theoretical calculations using density functional theory (DFT) can help us to further understand why the THz optoelectronic properties of BL MoS₂ differ from those observed for ML MoS₂. The results obtained from this study indicate that the THz TDS can be applied suitably to study the optoelectronic properties of BL MoS₂ based twistronic systems for novel applications as optical and optoelectronic materials and devices.     

Plane Problem of Three-Dimensional Stability for a Hinged Plate with Two Symmetric End Cracks

The plane stability problem for a rectangular plate with two symmetric end cracks is solved in three-dimensional formulation. The three-dimensional linearized theory of stability and the finite-difference method are used. The effect of the crack parameter on the critical load is examined__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 4, pp. 47–52, April 2005.