Goos-Hänchen and Imbert-Fedorov shifts in tilted Weyl semimetals

We establish the beam models of Goos-Hänchen (GH) and Imbert-Fedorov (IF) effects in tilted Weyl semimetals (WSMs), and systematically study the influences of Weyl cone tilting and chemical potential on the GH and IF shifts at a certain photon energy 1.96 eV. It is found that the GH and IF shifts in tilted type-I and type-Ⅱ WSMs are both almost symmetric about the Weyl cone tilting. Meanwhile, the GH and IF shifts in type-I WSMs almost do not change with the tilt degree of Weyl cones, while those in type-Ⅱ WSMs are extremely dependent on tilt degree. These trends are mainly due to the nearly symmetric distribution of WSMs conductivities, where the conductivities keep stable in type-I WSMs and gradually decrease with tilt degree in type-Ⅱ WSMs. By adjusting the chemical potential, the boundary between type-I and type-Ⅱ WSMs widens, and the dependence of the beam shifts on the tilt degree can be manipulated. Furthermore, by extending the relevant discussions to a wider frequency band, the peak fluctuation of GH shifts and the decrease of IF shifts occur gradually as the frequency increases, and the performance of beam shifts at photon energy 1.96 eV is equally suitable for other photon frequencies. The above findings provide a new reference for revisiting the beam shifts in tilted WSMs and determining the types of WSMs.     

Method of measuring one-dimensional photonic crystal period-structure-film thickness based on Bloch surface wave enhanced Goos-Hänchen shift

This paper puts forward a novel method of measuring the thin period-structure-film thickness based on the Bloch surface wave (BSW) enhanced Goos-Hänchen (GH) shift in one-dimensional photonic crystal (1DPC). The BSW phenomenon appearing in 1DPC enhances the GH shift generated in the attenuated total internal reflection structure. The GH shift is closely related to the thickness of the film which is composed of layer-structure of 1DPC. The GH shifts under multiple different incident light conditions will be obtained by varying the wavelength and angle of the measured light, and the thickness distribution of the entire structure of 1DPC is calculated by the particle swarm optimization (PSO) algorithm. The relationship between the structure of a 1DPC film composed of TiO₂ and SiO₂ layers and the GH shift, is investigated. Under the specific photonic crystal structure and incident conditions, a giant GH shift, 5.1×10³ times the wavelength of incidence, can be obtained theoretically. Simulation and calculation results show that the thickness of termination layer and periodic structure bilayer of 1DPC film with 0.1-nm resolution can be obtained by measuring the GH shifts. The exact structure of a 1DPC film is innovatively measured by the BSW-enhanced GH shift.     

基于光子晶体的Kretschmann结构中自准直光束的Goos-Hänchen位移研究

利用平面波展开法和时域有限差分法, 模拟研究了基于自准直条件下的高斯光束入射光子晶体Kretschmann结构时发生的同时具有正向和负向Goos-Hänchen位移的双束反射现象. 研究表明, 反射光束中具有一束较小的正向位移, 而另一束具有较大的负向位移, 发现当Kretschmann结构支持的泄漏的表面模式被激发时才出现这一特殊现象; 表面模式的场分布说明介质波导中存在着强局域稳态场, 大的位移来自于表面模式与自准直体模式间的强耦合, 同时探讨了表面模式与光子晶体自准直体模式之间发生耦合的条件和影响参数. 本文负向位移最大达到-23.23a(a为晶格常数), 对应入射光波长的4.99倍, 是束腰半径的1.1615倍. 关键词： 光子晶体 自准直 Kretschmann结构 Goos-Hä nchen位移     

Coherent Control of the Goos-Hänchen Shifts in a Four-Level N Type Atomic Medium

The behavior of the Goos-Hänchen (GH) shifts of the reflected and transmitted probe light beams is theoretically investigated. In a fixed geometrical configuration, the effect of quantum interference induced by spontaneous emission on the phase control of the GH shifts is analyzed in this paper. It is found that in a four-level N-type atomic system as an intracavity medium, the GH shifts of the reflected and transmitted probe light beam are completely phase dependent.     

Investigation of the limit of lateral beam shifts on a symmetrical metal-cladding waveguide

This paper reports that Goos--H\"anchen (GH) shifts occurring on a symmetrical metal-cladding waveguide are experimentally identified. It was found that there exists a critical thickness of the upper metal layer, h_cr, above which negative shift is observed and, reversely, positive shift occurs. Both positive and negative GH shifts near the critical thickness do not vary dramatically and can achieve a maximum on the submillimeter scale, which is different from simulated results using the stationary-phase method. It also shows that this critical thickness, h_cr, can be obtained at the position for zero reflectivity by setting the intrinsic damping to be the same as the radiative damping. The GH effects observed near the critical thickness are produced by extreme distortion of the reflected beam profiles, which limits the amplitude of the GH shift and, further, the sensitivity of the GH optical sensor based on the symmetrical metal-cladding waveguide.     

单轴各向异性左手介质表面的Goos-H?nchen位移

分析了单轴各向异性左手介质表面的Goos-H?nchen位移，分别给出了光轴与两种介质的界面垂直和平行情形下的Goos-H?nchen位移解析表达式，并分析了Goos-H?nchen位移产生的条件以及位移的正负情况.还采用菲涅尔近似的方法给出了临界角附近的Goos-H?nchen位移表达式，结果表明临界角附近的Goos-H?nchen位移是入射光的束腰半径和入射角的函数，并且给出了临界角入射时Goos-H?nchen位移的较为简洁的近似表达式，这样就在整个角度的取值范围内都给出了Goos-H?nchen位移的表达式. 关键词： Goos-H?nchen位移 左手介质 单轴各向异性 临界角     

Anisotropic and valley-resolved beam-splitter based on a tilted Dirac system

We investigate theoretically valley-resolved lateral shift of electrons traversing an n–p–n junction bulit on a typical tilted Dirac system (8-Pmmn borophene). A gauge-invariant formula on Goos–Hänchen (GH) shift of transmitted beams is derived, which holds for any anisotropic isoenergy surface. The tilt term brings valley dependence of relative position between the isoenergy surface in n region and that in the p region. Consequently, valley double refraction can occur at the n–p interface. The exiting positions of two valley-polarized beams depend on the incident angle and energy of incident beam and barrier parameters. Their spatial distance D can be enhanced to be ten to a hundred times larger than the barrier width. Due to tilting-induced high anisotropy of the isoenergy surface, D depends strongly on the barrier orientation. It is always zero when the junction is along the tilt direction of Dirac cones. Thus GH effect of transmitted beams in tilted Dirac systems can be utilized to design anisotropic and valley-resolved beam-splitter.     

左手材料复合双棱镜内部界面的古斯-汉森位移

设计了一种左手材料复合双棱镜,由两块各向同性左手材料棱镜与夹在其间的、其界面与光轴成一定的角度的单轴各向异性左手材料平板构成.研究了发生在其内部界面上的古斯-汉森位移.分析了发生折射的条件和古斯-汉森位移的符号.研究发现,反射波与透射波有相同的古斯-汉森位移,透射波的古斯-汉森位移随着薄层厚度的增加而振荡,整体上呈增加趋势;在透射共振点,透射波的古斯-汉森位移达到极大值,且极大值可达入射波波长的数十倍;发现入射角和光轴与界面的角度对透射波的古斯-汉森位移有很大影响.最后简单地探讨了这种双棱镜的潜在应用.     

Common path interferometer based on the modified Michelson configuration using a reflective grating

A common-path interferometer using the modified Michelson system with a reflective grating is proposed for quantitative phase imaging. The frequency spectrum of the object beam is split into two beams using a beam splitter. One beam is diffracted into +1, 0, and −1 orders by the reflective grating to act as an object beam, and the other beam is low-filtered and diffracted by a pinhole mirror to act as a reference beam. Three phase-shifted interferograms can be simultaneously captured using the proposed interferometer, and the specimen phase can then be reconstructed from the three interferograms. Experiments are carried out to prove the precision, real-time ability, and stability of the proposed method.     

Influence of surface roughness on the reflective properties of snow

In this paper the influence of 3D effect on snow reflection function (SRF) and albedo is studied in the framework of the stochastic radiative transfer theory. In particular, the corresponding equations for the averaged intensity of reflected light are solved for the ensemble of realizations of the stochastic field κ(r), describing the distribution of 3D elements on the flat semi-infinite snow layer (SISL). The reflection from the underlying SISL is modeled using the solution of the 1D radiative transfer equation. The corresponding look-up tables were compiled beforehand and used in the simulation process. In accordance with the previous studies, it was found that the albedo of snow layer is reduced (in particular, in the infrared region), if 3D effects are taken into account. There is no such a reduction, if light absorption in snow is absent. The 3D effects may increase or decrease SRF depending on the sastrugi fraction and illumination/observation conditions.     

Temperature effect on the transport dynamics of a small molecule through a liposome bilayer

An ion having hydrophobic parts can directly transport through the liposome bilayer without an ion channel and its transport mechanism can be explained by the free-volume theory. This was confirmed by investigating the temperature effect on the transport dynamics of organic cations through anionic liposome bilayers made of unsaturated and saturated lipids by using optical second-harmonic generation (SHG) technique. This study provides useful information to design practical temperature-controlled drug delivery systems.     

强流脉冲电子束辐照诱发纯钼表面的损伤效应及结构缺陷

利用强流脉冲电子束（HCPEB）装置对纯钼表面进行辐照处理,并利用X射线衍射仪,扫描电子显微镜（SEM）、透射电子显微镜（TEM）详细分析了辐照表面的微观结构和损伤效应. 1次HCPEB辐照后,纯钼表层积聚了极大的残余应力,多次辐照后表面未融化区域出现大量绝热剪切带,且局部区域发生开裂. 微观结构分析显示,辐照后材料表面形成发散状的位错组态和大量空位簇缺陷;绝热剪切带内部是尺寸为1 μm 左右等轴状的再结晶晶粒. 剪切带造成的材料表面局部软化以及间隙原子偏聚于晶界是材料发生开裂的主要原因. 另外,表面熔化区域可形成尺寸为20 nm左右的纳米晶. 关键词： 强流脉冲电子束 纯钼 绝热剪切带 空位簇缺陷     

Effects of a modified spectral model on the spatial coherence of a laser beam

The influence of a modified (bump) spectrum of refractive index fluctuations on the spatial coherence of an optical wave is studied here and compared with that based on a von Karman spectrum. Analytical expressions are derived for the mutual coherence function (MCF) and wave structure function (WSF) of a lowest-order Gaussian beam wave from which the beam spot size and degree of coherence are deduced. The qualitative behaviour of beam spreading and coherence length is basically the same for both spectral models. Also, when the radius of the Fresnel zone and initial beam radius are of comparable size, the presence of a spectral bump appears to have minimal effect on spatial coherence for all beams. However, the choice of spectral model is important for certain ranges of parameters. In particular, the implied spatial coherence length for a collimated beam based on the modified spectrum is significantly smaller than that based on the von Karman spectrum whenever the Fresnel zone is either much larger or much smaller than the initial beam radius, whereas for a focused beam the predicted coherence length based on the modified spectrum is slightly larger when the Fresnel zone size is much smaller than the initial beam radius.     

Smith-Purcell radiation from a charge running near the surface of a photonic crystal

Smith-Purcell radiation from a charge running near a photonic crystal is calculated for a slab system of a periodic array of dielectric spheres, with the photonic band effect taken into account exactly. The radiation spectrum has a series of resonantly enhanced structures, which are shown to arise accompanying the excitation of the photonic bands. It is also shown that the overall intensity of the emission band does not depend very strongly on the slab thickness but the height of the resonant peaks increases progressively with thickness due to the enhanced Q value of excited photonic bands.     

Elastic vibrations of a cylindrical nanotube with the effect of surface stress and surface inertia

Vibration frequency analysis of nanostructures may be essential for study of their thermal conductivity and mechanical characterization. Given the high surface-to-volume ratio, the elastic vibrations of an infinitely long cylindrical nanotube have been studied by considering both the effects of surface stress and that of surface inertia within the framework of surface elasticity. The phonon dispersion and the resonant frequencies for the specific vibration modes have been calculated. Numerical results have indicated that the surface stress and the surface inertia have equally important effect on the vibration behavior of the nanotube that may depend on the vibration modes as well. Due to the surface effect, the vibration modes of lower order by the classical elasticity may be indeed the modes of higher order. The surface effect on the low-frequency Raman shift has also been found.     

Effect of post-thermal and optical properties annealing on the structural of ZnO thin films prepared from a polymer precursor

ZnO thin films were synthesised by a new method which uses polyvinyl alcohol （PVA） as the polymer precursor. The films are annealed at different temperatures and for different annealing times. The structural parameters, like grain size, lattice constants, optical band gap, and Urbach energy, depend on the annealing temperature and time. All the films possess tensile strain, which relaxes as the annealing temperature and time increase. The photoluminescence （PL） spectra contain only ultraviolet （UV） peaks at low temperature, but as the annealing temperature and time increase, we observe peaks at the blue and green regions with a variation in the intensities of these peaks with annealing temperature and time.     

Effect of acoustooptic Bragg diffraction on the degree of spatial coherence of a light beam

The effect of acoustooptic (AO) Bragg diffraction on the degree of spatial coherence of an optical beam formed as the result of transmission of a Gaussian beam through a diffuser is studied. Experiments performed on the basis of the AO Bragg interaction in a single crystal of TeO₂ confirmed that the optical beam areas characterized by a higher spatial coherence diffract with a considerably higher efficiency than the low-coherence areas. In addition, the character of the speckle-structure distribution of the optical field of the diffracted beam is practically isotropic.     

Experimental observation of spin-independent transverse shift of the centre of gravity of a reflected Laguerre-Gaussian light beam

We report experimental observation of a transverse shift of the centre of gravity of partially reflected optical beam having non-zero orbital angular momentum. The results are in reasonable agreement with the theoretical predictions. Possibility of using such shift for measurement of orbital angular momentum state of photon is discussed.     

Investigation of the spatial coherence of a laser beam by a laser-induced grating method

The influence of ion implantation on the magnetization of a model bubble system (La, Ga: YIG) is studied by means of Conversion Electron Mössbauer Spectroscopy (CEMS). It is found that the average magnetization decreases considerably with increasing depth, but after reaching a minimum returns to the bulk value. This observation is in accord with recent FMR and x-ray diffraction experiments.