Plasmons and polaritons in a semi-infinite plasma and a plasma slab

Plasmon and polariton modes are derived for an ideal semi-infinite (half-space) plasma and an ideal plasma slab by using a general, unifying procedure, based on equations of motion, Maxwell's equations and suitable boundary conditions. Known results are re-obtained in much a more direct manner and new ones are derived. The approach consists of representing the charge disturbances by a displacement field in the positions of the moving particles (electrons). The dielectric response and the electron energy loss are computed. The surface contribution to the energy loss exhibits an oscillatory behaviour in the transient regime near the surfaces. The propagation of an electromagnetic wave in these plasmas is treated by using the retarded electromagnetic potentials. The resulting integral equations are solved and the reflected and refracted waves are computed, as well as the reflection coefficient. For the slab we compute also the transmitted wave and the transmission coefficient. Generalized Fresnel's relations are thereby obtained for any incidence angle and polarization. Bulk and surface plasmon-polariton modes are identified. As it is well known, the field inside the plasma is either damped (evanescent) or propagating (transparency regime), and the reflection coefficient for a semi-infinite plasma exhibits an abrupt enhancement on passing from the propagating regime to the damped one (total reflection). Similarly, apart from characteristic oscillations, the reflection and transmission coefficients for a plasma slab exhibit an appreciable enhancement in the damped regime.     

Interaction of an obliquely incident electromagnetic wave with collisional plasma half space

Penetration and reflection of an electromagnetic wave incident obliquely on a semi-infinite collisional plasma is studied. The linearized Boltzmann equation is used for the perturbed plasma. Using Fourier transform technique, specular boundary condition and simple collisional model the solution of coupled Maxwell-Boltzmann equations is presented. The field solutions consist of both longitudinal and transverse parts into the plasma region. The reflection coefficient is also obtained.     

Kinetic theory of semibounded plasma with randomly scattering boundary

The electromagnetic fields created by an arbitraty distribution of sources in a semibounded plasma with random Scattering of charged particles by the boundary surface are calculated. A model boundary condition is employed that ensures simultaneously preservation of the number of particles and the absence of particle flow through the boundary. The electric-susceptibility tensors, surface impedances, and coefficients of reflection of plane electromagnetic waves from a plasma half-space are found. Invariance of the distributions of s-polarized electromagnetic waves with respect to the selected model of a randomly scattering boundary is established.     

Numerical calculation of the reflection, absorption, andtransmission of microwaves by a nonuniform plasma slab

The reflection, absorption, and transmission of microwaves by a magnetized, steady-state, two-dimensional, nonuniform plasma slab is studied. A discussion on the effect of various plasma parameters on the reflected power, absorbed power, and transmitted power is presented. The nonuniform plasma slab is modeled by a series of subslabs. Even though it is assumed that the number density is constant in each subslab, the overall number density profile across the whole slab follows a parabolic function. The partial reflection coefficient at each subslab boundary is computed along with the absorption at each subslab. The total reflected, absorbed, and transmitted powers are then deduced and their functional dependence on the number density, collision frequency, and angle of propagation is studied     

The effect of ion motion on the reflection of an electromagnetic wave from plasma

An electromagnetic wave with electric vector parallel to the plasma boundary falls from a vacuum on a half-space filled with magnetoactive plasma and bounded by a particle-reflecting wall. A comparison is made of the effect of thermal motion of electrons and ions on the boundary, on the coefficient of reflection and on the absorbed energy.     

A potential double layer formation by ion beam reflection at an ion-absorbing boundary in a non-magnetized plasma

A potential double layer is formed by injecting an ion beam into an ion-absorbing boundary with a large cross section from a low potential side in a non-magnetized plasma. An ion-density crest caused by the ion reflection is observed.     

周期量级超短激光脉冲在近临界密度等离子体中形成的光孤子

利用一维粒子模拟程序，观测到周期量级的超短激光脉冲在等离子体中可以以孤子形式传播.它在一定密度等离子体中以较高的群速度向前传播，并在到达等离子体与真空界面时发生反射和透射.当入射激光脉冲强度增大时，非线性调制效应使它产生较大的频率下移，致使光孤子传播速度变小.另外，对于同样光强下的几十个周期以上的光脉冲，它在等离子体中传播时形成的则是一连串低频的被捕获在等离子体中的光孤子. 关键词： 光孤子 超短激光脉冲 等离子体 粒子模拟     

斜入射分层线性各向异性等离子体电磁散射时域有限差分方法分析

提出了斜入射分层线性各向异性等离子体电磁散射的时域有限差分(FDTD)方法,通过将二维麦克斯韦方程等价地转换为一维麦克斯韦方程,避免了用二维时域有限差分方法分析该散射问题,极大地提高了计算效率.分析推导了TEz和TMz波斜入射线性分层各向异性等离子体电磁散射的FDTD方法,然后通过该方法计算不同入射角的各向异性等离子板的电磁波反射系数,并与其解析解进行比较,结果表明该方法的准确性和有效性.最后,将该算法应用于计算涂覆分层各向异性等离子体金属板在不同入射角下的反射系数,分析了不同入射角对反射系数的影响.     

Mode transitions on the surface dust ion-acoustic wave in a semibounded dusty plasma

The effects of elongated rotating dust grains on the mode transitions of the dispersion relation of the surface dust ion-acoustic waves are investigated in a semi-bounded dusty plasma. The dispersion relation of the surface dust ion-acoustic wave is obtained by the plasma dielectric function with the specular reflection boundary condition. The result shows the existence of the dust ion-acoustic resonance modes in small and large wave number regions. It is also shown that the surface wave would be propagated in intermediate wave number domains. It is interesting to note that the wave propagation domain has been diminished with an increase of the rotation frequency.     

Excitation of surface plasmons at the boundary of overdense plasma

The excitation of surface plasmons （SPs） with a strip grating at the boundary of an unmagnetized overdense plasma has been investigated theoretically and experimentally. An incident electromagnetic radiation was p-polarized at the frequency of 5 GHz. Experiments showed that when the plasma density was four times higher than the critical density with the grating present, and the SPs could be excited at the boundary of the overdense plasma. Contribution of the glass layer in the formation of the SP dispersion relation was examined. When the incident electromagnetic radiation was coupled into SPs the coupling order with the effective permittivity was simulated qualitatively. We find that the existence of SPs at the boundary of overdense plasma indicates that the reflection coefficient of the incident electromagnetic radiation reaches its minimum and even becomes total absorption. In this work the plasma density was diagnosed by a Langmuir double probe.     

Degenerate plasma in a half-space under an external alternating electric field near resonance

The behavior of the electric field near the surface of a half-space filled with a degenerate electron gas in an external ac electric field is studied. The resonance case is considered in which the frequency of the external field is close to that of plasma oscillations. The special features of the behavior of the screened field are analyzed for diffuse reflection of electrons from the boundary. It is shown that there are two layers adjoining the surface in which the behavior of the screened field differs significantly.     

A solution to the problem of the skin effect with a bias current in the Maxwell plasma by the method of expansion in eigenfunctions

A problem of the skin effect in the Maxwell plasma is solved analytically by the method of expansion in eigenfunctions based on the Vlasov–Maxwell kinetic equation with a self-consistent electric field. Specular electron reflection from the boundary is used as a boundary condition. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 33–38, February, 2009.     

Penetration of electromagnetic waves into magnetoactive plasma

Landau studied the longitudinal field penetration into a semi-bounded plasma considering specularly reflecting electrons at the boundary. Kurilko and Popov and then Gorman examined the same problem considering a fraction “p” of all incident electrons reflecting specularly and the remaining portion difusely. Lastly, Mason treated the same problem at length and gave solutions for specular and diffuse reflections. Here the penetration of transverse electromagnetic waves into magnetoactive semi-bounded plasma has been studied and the electric field for specular reflection of electrons is obtained.     

FDTD model of non-magnetized plasma coatings on metals based on collocated surface impedance boundary conditions

A finite-difference time-domain (FDTD) model is developed for non-magnetized plasma thin layers on metal surfaces illuminated by vertical polarization (TE) and parallel polarization (TM) plane waves at oblique incidence. The model is based on collocated first-order surface impedance boundary conditions (SIBCs), permitting one to remove the plasma coating and the substrate from the computational space. The reflection of TE and TM plane waves at varying oblique incident angles from the plasma coating surfaces is simulated. The results are numerically verified by the comparison with the exact results in the one-dimensional situation. Magnitude and phase error of the calculated reflection coefficients are studied to illustrate that the proposed model has greatly improved accuracy over the original SIBCs implementation. Finally, we calculate the radar cross-section (RCS) of a perfectly conducting cube covered with plasma coatings utilizing the proposed collocated SIBCs, which further demonstrates the practical application of the model.     

Bandgap characteristics of 2D plasma photonic crystal with oblique incidence:TM case

A novel periodic boundary condition (PBC), that is the constant transverse wavenumber (CTW) method, is introduced to solve the time delay in the transverse plane with oblique incidence. Based on the novel PBC, the FDTD/PBC algorithm is proposed to study periodic structure consisting of plasma and vacuum. Then the reflection coefficient for the plasma slab from the FDTD/PBC algorithm is compared with the analytic results to show the validity of our technique. Finally, the reflection coefficients for the plasma photonic crystals are calculated using the FDTD/PBC algorithm to study the variation of bandgap characteristics with the incident angle and the plasma parameters. Thus it has provided the guiding sense for the actual manufacturing plasma photonic crystal.     

Reflection and refraction of the electromagnetic field in a semi-infinite plasma

We compute the reflected and refracted electromagnetic fields for an ideal semi-infinite (half-space) plasma, as well as the reflection coefficient, by using a general procedure based on equations of motion and electromagnetic potentials. The approach consists of representing the charge disturbances by a displacement field in the positions of the moving particles (electrons). The propagation of an electromagnetic wave in plasma is treated by means of the retarded electromagnetic potentials, and the resulting integral equations are solved. Generalized Fresnel’s relations are thereby obtained for any incidence angle and polarization and the angles of total polarization and total reflection are derived. Bulk and surface plasmon-polariton modes are identified. As it is well known, the field inside the plasma is either damped (evanescent) or propagating (transparency regime), and the reflection coefficient exhibits an abrupt enhancement on passing from the propagating regime to the damped one (total reflection).     

垂直入射电磁波在大气压非平衡等离子体层中的传播特性

用数值模拟的方法对大气压非平衡等离子体薄层中,不同的电子密度分布对微波反射、吸收和透射的影响进行了研究。所采用的理论分析方法是分层模型和镶嵌不变原理。计算中考虑了微波在子层间的多次反射和吸收。数值结果表明,对于电磁波的吸收来说,等离子体中具有二次分布的电子密度,其效果要高于线性分布10%左右;而对于反射来说,线性分布效率更高。功率反射系数随波长的增大而增大,功率吸收系数A也不是单调的,当电子密度不变时,A存在一个峰值,随着电磁波波长的增加而增加,达到最大值后,缓慢降低。     

Effect of metallic surface microroughness on the probability and spectrum of plasmon excitation by a fast charged particle moving parallel to the surface

The Green’s function of the electric field of plasmons is determined in a semi-infinite medium with an abrupt plasma boundary where nonequilibrium conduction electrons either undergo elastic reflection from the boundary or “stick” to it and give rise to a stationary surface charge. The angular reflection of elastically scattered electrons can be either specular or diffuse. The Green’s function is used to find the singleevent spectrum of energy loss by a fast electron moving parallel to the boundary. The effect of electronboundary scattering parameters on the structure of bulk and surface plasmon resonances is analyzed. The probability of transition radiation of bulk plasmon by an electron moving in vacuum is examined. A new type of surface resonance is found under conditions of perfectly elastic scattering of conduction electrons from the plasma boundary, similar in structure to a tangential surface plasmon.     

Particle simulation of bounded 1D plasma systems

The physical and numerical problems of kinetic simulation of a bounded electrostatic plasma system in one planar dimension are examined, and solutions to them are presented. These problems include particle absorption, reflection and emission at boundaries, the solution of Poisson's equation under non-periodic boundary conditions, and the treatment of an external circuit connecting the boundaries. The methods which are described here are immlemented in a code named PDW1, which is available from Professor C. K. Birdsall, Plasma Theory and Simulation Group, Cory Hall, University of California, Berkeley, CA 94720.