Near-field effect in two-atom system

The self-consistent problem is solved for the interaction of two dipole atoms situated at arbitrary distance from one another with the field of quasiresonant light wave. Atoms are considered to be linear Lorenz oscillators. Polarizing fields inside the system include both Coulomb and retarding parts. The solutions obtained are investigated for the case when atoms have the same polarizabilities and interatomic distance is much less than external light wavelength. Formulas for electric fields inside and outside of small object are obtained. It is shown that longitudinal and transverse optical oscillations are possible to exist inside small two-atom object. Dispersion laws of these oscillations depend upon interatomic distance and upon angle between axis of the system and the direction of propagation of external wave. The field outside the small object in wave zone is linearly polarized with the choice of linear polarization of external field. However, the directions of polarization of these waves are different and depend essentially upon frequency. The amplitude of field outside small object in wave zone is shown to depend essentially on the frequency of external field and interatomic distance. The results obtained are treated as near-field effect in the optics of small objects making it possible to investigate the structure of small objects with optical radiation. Received 26 October 1998 and Received in final form 26 January 2000     

The near-field effect in a system of two-level dipole particles

We have solved a self-consistent problem on interaction of two dipole atoms located at an arbitrary distance from each other with the field of a quasiresonance light wave, whose intensity is sufficient for the system to manifest nonlinear properties. The atoms are considered as two-level systems described by means of Bloch optical equations, while the field inside of the system includes both Coulomb and retarded parts. We consider a situation where atoms are identical and the distance between them is much smaller than the length of an outer light wave. The distribution of an electric field both inside of a small object and outside of it is found numerically. It is shown that the amplitude of the electric field in a wave zone depends substantially on the frequency of the external field and interatomic distance, while the field distribution differs from the field pattern of an electric dipole. At definite values of the external field intensity an optical multistability is a feature of the system under investigation. We have elucidated the conditions under which the multistability is manifested in the present system. The results obtained are considered as the near-field effect in the optics of small objects, which makes it possible to investigate the structure of small objects by means of optical radiation. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 67, No. 3, pp. 375–378, May–June, 2000. The present work was supported by the Russian Foundation for Fundamental Research (grant 98-02-16035) and by a grant from the Federal Purpose-Oriented Program “Integration.”     

Near-field effect in a superthin film of resonance atoms

A boundary-value problem of nonlinear resonance optics in the interaction of intense light with a superthin film of two-level atoms is solved. In solving this boundary-value problem, the authors draw on the idea of a discrete-continuous system in which the atoms are distributed in a discrete manner in the vicinity of the point of observation. It is shown that detailed account of the dipole field leads to a near-field effect both inside the film and outside it in the near zone with respect to outer film surfaces. Various properties of the near-field effect in stationary irradiation of the film with quasi-resonance radiation with allowance for a resonance shift are investigated. It is shown, in particular, that, in the near zone, there is a nonexponential dependence of the fields of reflected and transmitted waves on the coordinate of the point of observation. Ul'yanovsk State University, 42, L. Tolstoi St., Ul'yanovsk, 432700, Russia. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 65, No. 2, pp. 236–246, March–April, 1998.     

Optical holography of nanostructure diatomic objects for different polarizations of the external wave and dimensional resonances

For the combined system of equations of field and atomic variables for two different atoms in the ground state, a stationary solution is obtained, which takes into account their dipole-dipole interaction in the field of external emission. Atoms are treated as linear dipole oscillators with different natural frequencies and linear polarizabilities. Formulas for effective polarizabilities of atoms in a nanostructure object, whose dispersion properties substantially differ from the dispersion properties of isolated atoms in the region of their natural resonances, are obtained. It is found that a nanostructure object consisting of two different atoms has four dimensional resonances, whose frequencies strongly depend on the interatomic separation and the object orientation with respect to the direction of propagation of an external wave. Using interference from the coherent field of dipoles of a small object with a reference coherent wave in a certain plane of observation points in the wave region far from a small object, an optical hologram of a small object is obtained. It is shown by numerical experiments that a small object forms interference fringes with good contrast, which makes possible the use of optical quasi-resonant emission for the development of a nondestructive method of study of small objects.     

Optical holography of diatomic small nanostructure objects and the near-field effect: Dimensional resonances at normal incidence of external optical radiation on a small object

The interaction of an atomic group occupying a volume with linear dimensions which are considerably smaller than the length of an external light wave is considered. On the basis of the joint set of equations for the electric field strength of the light wave and the optical equations for linear dipole oscillators, the self-consistent problem of determination of the field at the points of location of the atoms, as well as at different points of observation outside the atomic group (a small object) in the wave and near-field zones, is solved. An optical plane hologram of a small object is obtained by way of interference of the coherent field of dipoles of the object and a reference coherent wave in a certain plane of observation points far from the object in the wave zone. It is shown with the help of numerical experiments that a small object forms interference fringes with a good contrast, which allows one to use optical quasi-resonant emission for the development of a nondestructive method of investigation of small objects.     

Linear nonstationary optical dimensional resonances in atomic nanostructures

The existence of linear nonstationary optical resonances in a diatomic nanostructural object with a dipole-dipole atomic interaction has been proved. A new solution to the joint system of modified Bloch optical equations and nonlocal field equations is obtained for time intervals much shorter than the times of phase and energy relaxation. Formulas for effective polarizabilities of the object’s atoms, which have a set of dimensional resonances, are derived. The frequencies of these resonances significantly differ from the eigenfrequencies of the object’s atoms, and their properties depend on the interatomic distance, light-pulse duration, initial atomic inversions, and the orientation of the object’s axis relative to the direction of incidence of the external light wave.     

Nonlinear resonances in the near-field interaction between atoms

It has been shown that nonlinear near-field optical resonances occur in diatomic nanostructures consisting of identical or different two-level atoms in the presence of a radiation field when the dipole-dipole interaction is taken into account. The frequencies of these resonances depend strongly on the intensity of the external optical radiation, on the initial conditions, on the polarization of the external field with respect to the axis of the nanostructure, and on the interatomic distance. The interatomic interaction is taken into account beyond perturbation theory. For this reason, the effective polarizabilities of the atoms of the nanostructure are expressed in terms of the polynomials of both the interatomic distance and the electric field strength of the external optical wave. A “falling tower” effect that is caused by the nonlinear behavior of the local dipole moments of atoms in the nanostructure is predicted.     

矩孔光栅的矢量模式理论

本文引入满足均匀矢量亥姆霍兹（Ｈｅｌｍｈｏｌｔｚ）方程的矢量波函数作为基矢，对矩孔光栅的孔内外光场分别进行矢量模式展开和矢量平面波展开，并由耦合条件导出了求解展开系数的方程组，从方程组中求解出相应的振幅系数，可研究光栅的衍射场分布，该方法可研究入入射扬方向和偏振任意时的衍射效率和偏振特性等问题。     

电场调控双层石墨烯纳米带的电子结构和光学性质

利用基于密度泛函理论的第一性原理方法,研究了外加电场作用下双层AA堆垛的Armchair边缘石墨烯纳米带(BAGNRs)的电子结构和光学性质. BAGNRs具有半导体特性,其带隙随带宽(宽度为4～12个碳原子)的增加而振荡性减小.当施加电场后,BAGNRs的带隙随着电场强度的增加而逐渐减小,带隙越大对电场值的变化越敏感.当电场值为0.5 V/?时,所有BAGNRs的带隙都为零. BAGNRs具有各向异性的光学性质,其介电函数在垂直极化方向为半导体特性,而在平行极化方向为金属特性.在外加电场的作用下,BAGNRs的介电函数、吸收系数、折射系数、反射系数、电子能量损失系数和光电导率,其峰值向低能量区域移动,即产生红移现象.电场增强了能带间的跃迁几率.纳米带宽度对这些光学性质参数具有不同程度的影响.研究结果解释了电场调控BAGNRs光学性质的规律和微观机理.     

微槽式光学谐振腔超声传感效应验证*

摘 要：光学微腔的高灵敏度主要源于其结构在时间和空间上对光场的局域增强作用和频率选择作用。其结构在垂直于波导方向上形成了高反射的边界,形成了一种回声腔,使得光在波导内来回反射,从而增强了波导内部的光场强度。当外界存在微小的压力波动时,它将引起波导内部的介电常数和压力场的变化,从而改变了谐振腔内的模式场分布和传输特性,据此可以实现对微小的压力波动进行高灵敏度检测。本文设计了一种高品质因子（Q）的光波导微槽式环形谐振腔超声传感器,完成器件制备并搭建了测试系统,依据倏逝波效应实现了超声探测。测试结果表明,该传感器的品质因子为1.38×107,在800 kHz ~1 MHz范围内响应平坦,在900 kHz的信噪比可以达到27 dB,灵敏度达到 -168 dB。本文设计的传感器可以为水声探测等领域的研究提供关键技术支持。     

Coherent energy transfer from one atom to another under a selective excitation of one of them by a field of continuous optical radiation and optical size resonances

The existence of a new sort of optical size resonances formed due to the self-consistent coherent interaction of atoms when one of them is excited by a field of continuous optical radiation is proved. The processes of energy transfer from the thus-excited atom to large (of the order of several wavelengths) interatomic distances are considered. It is shown that these processes can be observed in the wave zone upon the interference of the optical fields formed by the oscillating dipole moments of the interacting atoms.     

Method of resonance near-field optical microscopy

We have solved the problem in which a thin metal wafer (probe) with a nanohole interacts with the flat surface of a metastructured film consisting of metal nanoparticles in an external optical radiation field. Nanoparticles are considered as two-level atomic systems. This interaction of the wafer-probe and the flat surface in the external optical radiation field gives rise to optical near-field resonance, the frequency of which differs significantly from the natural frequencies of two-level atoms in the medium and the probe. The fields inside and outside the probe and metastructured film are calculated in the near-field and far-field zones. The maximum resolution, which is achievable in the suggested scheme of near-field optical microscopy, can reach about 10 nm. __________ Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 74, No. 4, pp. 499–506, July–August, 2007.     

对称型闪耀光栅的矢量模态理论

本文将满足均匀矢量亥姆霍兹方程的标准矢量波函数作为基矢对对称型闪耀光栅槽内、外的电磁场分别进行矢量模式和矢量平面波展开。然后通过在槽内外分界面上的场耦合条件得到一组振幅系数方程组。从方程组中求解出相应的振幅系数,就可研究光栅的衍射场分布。该方法适用于对称型闪耀光栅对任意入射方向、任意偏振态入射场衍射问题的研究。在K_2=0入射情况下,其振幅方程组与已发表的文献[6]相同。     

Optical size resonances in nanostructures

The existence of optical size resonances in atomic nanostructures is proved. The properties of optical size resonances strongly depend on the interatomic distances and on the polarization of an external radiation field. The properties of linear and nonlinear size resonances are considered in the case of two-dimensional nanostructures. The linear optical size resonances are described based on a closed system of equations for dipole oscillators and nonlocal field equations taking into account the dipole-dipole interactions of atoms in the radiation field. Using a stationary solution to these equations, it is demonstrated that two isotropic atoms with definite intrinsic frequencies form an anisotropic system in the radiation field, possessing two or four size resonances depending on whether the component atoms are identical or different. The nanostructure composed of two different atoms possesses two size resonances with positive dispersion and two other resonances with negative dispersion. The frequencies of the size resonances significantly differ from the intrinsic frequencies of isolated atoms entering into the nanostructure. By changing the angle of incidence of the external wave, it is possible to excite various size resonances. The properties of nonlinear optical size resonances excited by an intense radiation field were theoretically and numerically studied using the modified Bloch equations and nonlocal field equations. Dispersion relationships for the nonlinear resonances were derived and the inversion properties of atoms in the nanostructure were studied for various polarizations of the external optical wave.     

基于可调谐复振幅滤波器的超长焦深矢量光场

根据矢量光场衍射积分理论和离散复振幅光瞳滤波原理, 通过一种由双λ/2波片和离散复振幅滤波器组成的可调谐复振幅滤波器, 研究了大数值孔径下超长焦深聚焦矢量光场的构建与调控. 给出了一个六环带区的离散复振幅滤波器, 对入射光场的偏振态、振幅滤波和相位滤波三者进行同步优化, 获得了焦深接近10λ的三维平顶光场; 通过调控双λ/2波片夹角来改变聚焦光场的矢量化结构, 使之在光针场、平顶光场、光管场及中间结构光场之间交替变化. 研究结果揭示了入射光场矢量化结构演化与聚焦光场矢量化结构变换之间的关系, 解决了获取动态的、可调控的超长焦深聚焦光场的问题. 两种基本的聚焦光场光针场、光管场的独自使用或三维平顶光场的调和使用, 将会在光学显微、光学微纳操控以及光学精细加工领域获得重要应用.     

Dynamics of interaction between two-level atoms in a laser field and linear stationary optical dimensional resonances

Formulas for radiative forces acting on the atoms of a diatomic object in a field of external laser radiation are obtained with allowance made for the interatomic dipole-dipole interaction. It is shown that one can control the motion of the atoms by gradually varying the frequency of external laser radiation due to the presence of optical dimensional resonances in the spectrum of the diatomic object.     

Dimensional Resonances in Biatomic Nanostructures and the Characteristics of Their Holograms

A self-consistent problem of determining the field at the location of atoms in a nanostructural object and also at different observation points beyond a group of atoms (a small object) in the wave and near zones is solved on the basis of a system of compatible equations for the light-wave electric field strength and optical equations for linear dipole oscillators. We proved the existence of two dimensional resonances in the nanostructural object that consists of two identical atoms, with each having a single isolated resonance. We show that the properties of dimensional resonances depend strongly on small displacements of atoms with respect to one another. Formulas are obtained for effective polarizabilities of atoms in the small object. Optical plane holograms of the small object were obtained by interference of the coherent field of the dipoles of the small object and of the reference coherent wave in a certain plane of observation points far from the small object in the wave zone at frequencies corresponding to dimensional resonances.     

Boundary-value problems in near-field optical microscopy and optical size resonances

We have solved a boundary-value problem for a ball probe interacting with a flat dielectric surface in an external optical radiation field. This interaction gives rise to the optical size resonance at frequencies significantly different from the natural frequencies of two-level atoms both in the medium and in the probe with allowance for the local field corrections. These resonances depend significantly on the distance from the probe center to the surface, on the ball probe size, on the concentration of two-level atoms in the probe and in the medium, on the spectral line width, and on the atomic inversion. The field strengths inside and outside the ball probe and a semiinfinite dielectric medium have been calculated in the near-field and wave zones. It is shown that the proposed electrodynamic theory of optical near-field microscopy agrees with the results of experimental measurements.     

Seismoelectric waves in a borehole excited by an external explosive source

The conversion of energy between seismic and electromagnetic wave fields has been described by Pride’s coupled equations in porous media. In this paper, the seismoelectric field excited by the explosive point source located at the outside of the borehole is studied. The scattering fields inside and outside a borehole are analyzed and deduced under the boundary conditions at the interface between fluid and porous media. The influences of the distance of the point source, multipole components of the eccentric explosive source, and the receiving position along the axis of vertical borehole, on the converted waves inside the borehole are all investigated. When the distance from the acoustic source to the axis of a borehole is far enough, the longitudinal and coseismic longitudinal wave packets dominate the acoustic and electric field, respectively. The three components of both electric field and magnetic field can be detected, and the radial electric field is mainly excited and converted by the dipole component. Owing to the existence of borehole, the electric fields and magnetic fields in the borehole are azimuthal. The distance from the point where the maximum amplitude of the axial components of electric field is recorded, to the origin of coordinate indicates the horizontal distance from the explosive source to the axis of vertical borehole.     

双向隐形传态方案及安全性分析

基于位函数的引入与介质参量无关,将各向异性目标内外的电场展为级数形式,得到了任意各向异性目标n阶散射场、目标内场的递推表达式,给出了介电常量张量的变换关系,在平面波任意入射的条件下,并给出了传播单位矢量与极化单位矢量的一般关系.以磁化冷等离子体为例,给出了一阶散射场的具体表达式,并对二阶散射场引起的误差进行了评估.在THz波段和光波段,对所得结果进行了部分仿真.结果表明:微分散射对电波频率和极化状态等因素的影响较为敏感,介电常量张量的非对角元素对散射的影响不大,当波长与目标尺寸一定时,仿真结果不仅适用于THz波段,对其它波段也成立.