Quantum Theory of Surface Polaritons on a Rough Surface

In this paper, we present the quantum field theory of the surface phonon-polaritolis on a rough polar crystal surface. The dispersion relations of the surface phonon-polaritons and the dispersion relations of polariton leaking modes owing to the interaction between bulk TO mode with the surface effect and photons are derived. We also study the k-dependence of the electric field strength in each polariton branch. The numerical calculations for the dispersion relations and the k-dependence of the electric field strength are carried out for a stepped Gap surface. The results show that the surface roughness depressed the frequency of the surface phonon-polariton below its values in the absence of the surface roughness. For the frequencies of the polariton leaking modes, the photon-like one is enhanced by the surface roughness and the phonon-like one b depressed. Our evaluations also illustrate that the surface roughness introduces a strong dependence on the k-dependence of the electric field strength in each polariton branch.     

On the Focusing of Surface Plasmonic Waves on the Free Surface of a Metal Film

Optics and Spectroscopy - The excitation and focusing of a surface plasmonic wave on the free surface of a metal film in the Kretschmann scheme have been considered based on the theory of...     

Numerical Calculations for the Surface on a Semi-Infinite Ising Model with a Random Surface Field

We study the critical behavior of the surface on a semi-infinite simple cubic lattice Ising model with a bimodal random surface field by large cell mean-field renormaliza tion group method and Monte Carlo simulations. Our results show that the surface ferromagnetic phase exists in the weak random field range above the bulk critical temperature. The surface. specific heat is not divergence and the susceptibility show a cusp singularity at the surface ferromagnetic-paramagnetic transition for a relatively large and om field.     

圆柱体出水运动的自由面效应及水冢现象分析

以圆柱体为例,研究自由面附近刚性物体的受力状态,分析垂直运动圆柱体出水时的自由面效应以及水冢现象.建立基于势流理论考虑自由面效应的数学模型,并用边界元方法求解该模型.求解过程中考虑非线性自由面运动学以及动力学边界条件.通过求解控制方程以及边界条件,模拟恒速刚性圆柱体出水时的水冢现象及其穿越水冢过程.通过数值解和实验值的比较验证方法的可靠性.分析结构出水时的压力变化、自由液面变形、圆柱体所受的垂向合外力以及流场速度矢量的变化,并展开讨论.结果表明:考虑自由面效应的非线性方法能够更准确地预报自由面附近刚性运动物体的受力特性.     

Symmetric Surface Momentum and Centripetal Force for a Particle on a Curved Surface

The Hermitian surface momentum operator for a particle confined to a 2D curved surface spanned by orthogonal coordinates and embedded in 3D space is expressed as a symmetric expression in derivatives with respect to the surface coordinates and so is manifestly along the surface. This is an alternative form to the one reported in the literature and usually named geometric momentum, which has a term proportional to the mean curvature along the direction normal to the surface, and so "apparently" not along the surface. The symmetric form of the momentum is the sum of two symmetric Hermitian operators along the two orthogonal directions defined by the surface coordinates. The centripetal force operator for a particle on the surface of a cylinder and a sphere is calculated by taking the time derivative of the momentum and is seen to be a symmetrization of the well-known classical expressions.     

Surface Diffusion Induced Growth of Solid Solution over a Free Crystal Surface

It has been shown that interdiffusion along a free vicinal crystal surface can lead, at comparably low temperatures, to layered growth of solid solution over the surface without the involvement of bulk diffusion. The alloy concentration distribution along the surface, as well as the normal rate of solution growth has been calculated. The formation of a layer of the solid solution has been experimentally observed on a vicinal (111) surface of Ni single crystal as a result of surface interdiffusion between Ni and a thin film of Au deposited on a part of the Ni surface. The surface diffusion coefficients, as well as other parameters responsible for the exchange rate between the adatoms and kinks of elementary steps have been measured in the temperature range 550–700°C.     

Symmetric Surface Momentum and Centripetal Force for a Particle on a Curved Surface

The Hermitian surface momentum operator for a particle confined to a 2D curved surface spanned by orthogonal coordinates and embedded in 3D space is expressed as a symmetric expression in derivatives with respect to the surface coordinates and so is manifestly along the surface. This is an alternative form to the one reported in the literature and usually named geometric momentum, which has a term proportional to the mean curvature along the direction normal to the surface, and so"apparently"not along the surface. The symmetric form of the momentum is the sum of two symmetric Hermitian operators along the two orthogonal directions defined by the surface coordinates.The centripetal force operator for a particle on the surface of a cylinder and a sphere is calculated by taking the time derivative of the momentum and is seen to be a symmetrization of the well-known classical expressions.     

Calculation of the Stressed State of a Rough Solid Surface

A computational technique for the stressed state of a region lying beneath a rough solid surface is proposed. The calculation relies on the solution of a system of Laplace's equations for thin-walled shells and of an energy equation of deformation. Based on experimental data, a Gaussian bearing curve is chosen as a rough surface model. An analytic expression for the dependence of equivalent stresses and strain energy on the shape of the rough surface is derived. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 76–81, May, 2005.     

Monte-Carlo Calculations for the Surface on a Semi-Infinite XY Model

We study the critical behavior of the surface on a semi-infinite simple-cubic-lattice XY model by Monte-Carlo simulations. .Our results show that a distinct surface phase exists for relatively strong surface coupling above the bulk critical temperature. Moreover, we find that the surface susceptibility diverges in the whole range of the surface phase, which supports that the surface phase is a KT phase.     

Design of a Reflective Aspherical Surface of a Compact Beam-Shaping Device

A compact beam-shaping device with a reflective aspherical surface is proposed. The device converts a circular symmetric Gaussian beam from a laser into a uniform distribution on a target plane. The device consists of a laser, a reflective aspherical surface formed on the base plane inclined by 45° against the optical axis, and a spacer. The surface is designed for an optical device used as a transmitter of indoor wireless optical communication, which is one of the promising applications. The designed surface is obtained by approximation using polynomial. Beam shaping of a simulated surface and a uniform intensity distribution on the target plane is obtained. The intensity distribution generated by the surface is numerically simulated and evaluated if the surface is misaligned. It is clarified that the generated distribution is tolerable for the misalignment.     

Surface distortions in a weak ferromagnet

The effect of the surface on the sublattice canting of a two-sublattice antiferromagnet due to the Dzyaloshinskii-Moria interaction has been studied. It has been shown that the canting angle near the surface differs from the bulk value. The dependence of the canting angle on the distance to the surface and the additional surface magnetic moment have been calculated. The compensated and uncompensated antiferromagnet surfaces have been considered.     

Surface plasmon-polaritons wave fields in the vicinity of a metallic nanohole

It is shown that metal surface with a nanohole can support surface plasmon-polaritons (SPP), whose wave fields are described by Hankel functions. These plasmons can be excited by an electromagnetic wave incident at the metal surface. The optical transmission through subwavelength holes in metal films can essentially be enhanced by interaction of the incident light with surface plasmons. Dependence of excitation of the wave field of SPP on the incidence angle and on the wavelength of incident light is considered.     

Influence of the Porosity of the Surface of a Graphite Furnace on the Atomization of a Sample

The influence of the wear of a tube graphite furnace and the morphological features of its surface on the formation of an atomic-absorption signal has been investigated. Electron-microscopic and mass-spectrometric investigations have shown that, prior to atomization, copper in the form of elementary metal microparticles is found not only on the surface of the furnace but also in the bulk of its pores. Free atoms are formed as a result of the concurrent processes of atomization of a sample on the surface of the furnace and in the bulk of its pores. The change in the apparent energy of formation of free atoms of metals interacting actively with graphite in the process of atomization and the inflection on their Arrhenius plot have been explained qualitatively.     

Formation of a Wave Structure on the Surface of a Graphene Film

A wavy structure of the surface of graphene nanoparticles on a hydrocarbon substrate has been obtained. It has been shown that the wavy surface is the manifestation of the Kelvin-Helmholtz instability at the interface between liquid paraffin and graphene suspension with the inhomogeneity length λ = 250 nm. The manifestation of such wavy structures is due primarily to van der Waals forces.

     

Surface instability induced by the singular scattering of a three-dimensional Phonon

The conditions under which a bulk phonon, incident on the surface of a semi-infinite crystal, may induce an infinite vibrational amplitude inside the surface layers, are analysed. This mechanism is proposed as a possible driving force for surface reconstruction. A numerical application given for W(100) shows that this mechanism is a better candidate, to account for surface reconstructed W(100)/c(2 × 2), than the soft phonon process.     

Millimeter-Wave Radiometry of the Temperature Film on a Sea Surface

Using in-situ measurements of thermal radio emission at frequencies 53–55 GHz from a rough sea surface in the coastal zone of the eastern Crimea shore, we obtain data on the water temperature at a depth of 0.2 mm and on the reflection characteristics of the sea surface. Measuring the intensity of radio emission from a surface irradiated by a signal with known variable power allows one to obtain simultaneous data on the temperature and reflection coefficient. In our experiment, the atmospheric radio emission in the wing of the molecular oxygen absorption band, received by frequency-separated channels of a radiometer–spectrometer, plays the role of such an irradiation. The measured water temperature T_SL=(5.4±1.0) °C turns out to be less than the air temperature and the in-depth water temperature. The reflection coefficient is equal to R=0.349±0.05.     

The Number of Ramified Covering of a Riemann Surface by Riemann Surface

Interpreting the number of ramified covering of a Riemann surface by Riemann surfaces as the relative Gromov–Witten invariants and applying a gluing formula, we derive a recursive formula for the number of ramified covering of a Riemann surface by Riemann surface with elementary branch points and prescribed ramification type over a special point. Received: 10 June 1999 / Accepted: 7 July 2000     

Developing a Durable Quiet Road Surface

Road traffic noise can have a significant impact on the quality of life for residents close to major road networks. One of the most effective measures for reducing the noise from road traffic, particularly on high-speed roads, is to ensure the use of a low noise road surface. Research on pavement construction and the measurement of its acoustic properties has shown that significant noise reductions can be achieved through the use of certain road surface types. However certain low noise road surfaces do not exhibit the desired durability associated with more traditional pavements, leading to costly and disruptive maintenance regimes.
This article looks at the mechanisms involved in tyre/road noise generation and how these interact with various road surface properties including a brief overview of some common surface types. It then goes on to explain how these concepts informed the development of an asphalt surfacing material with enhanced durability and good acoustic performance without compromising safety. Progress in testing the resulting Premium Asphalt Surfacing System (PASS) is outlined, including the completion of a successful network trial.     

Surface shape resonances of ridges on a thin film

The spectrum of surface shape resonances associated with a finite number of ridges on one interface of an otherwise plane film is calculated. The frequencies are obtained numerically by solving the homogeneous integral equations which describe the electrostatic field in the vicinity of a surface defect. The calculations are performed for a surface with ridges with Gaussian, Lorentzian and sinusoidal profiles. The results show a strong dependence of the localized plasmon frequencies on the surface profile, on the distance between the ridges, and on the thickness of the film. Received 5 April 1999 and Received in final form 6 July 1999     

磁场中液氦薄膜表面电子涟波子系统的性质

研究了磁场中液氦薄膜表面电子与涟波子强耦合和弱耦合的性质。采用线性组合算符方法导出磁场中液氦薄膜表面电子 涟波子系统的振动频率和基态能量。讨论磁场对表面电子 涟波子系统的振动频率和基态能量的影响。