Plasmons localized at impurities in semiconductor quantum wells

Bound plasmons in inhomogeneous carrier gases in the presence of a point charge impurity in semiconductor quantum wells are studied. An integral equation for the self-consistent localization of the plasmon is derived. Bound states are found for intersubband plasmons for all carrier densities, a result which differs qualitatively from the bulk case. Numerical results for the binding energies are given.     

Plasmons in a planar graphene superlattice

Plasmon collective excitations are studied in a planar graphene superlattice formed by periodically alternating regions of gapless graphene and of its gapped modification. The plasmon dispersion law is determined both for the quasi-one-dimensional case (the Fermi level is located within the minigap) and for the quasi-two-dimensional case (the Fermi level is located within the miniband). The problem concerning the absorption of modulated electromagnetic radiation at the excitation of plasmons is also considered.     

Plasmons at the interface between a corrugated semiconductor film and a binary metallic superlattice

We investigate the minigaps of the dispersion relation of plasmon polaritons that propagate at the interface between a corrugated semiconductor film and a binary metallic superlattice. Minima of the reflectivity for p-polarized light are calculated and their frequencies are used to obtain the ‘optical’ dispersion relations which are compared with the corresponding electromagnetic dispersion curves, in the effective medium theory. Results show that the minigap enlarges with the corrugation strength.     

Plasmons in strong superconductors

We present a study of the possible plasmon excitations that can occur in systems where strong superconductivity is present. In these systems the plasmon energy is comparable to or smaller than the pairing gap. As a prototype of these systems we consider the proton component of Neutron Star matter just below the crust when electron screening is not taken into account. For the realistic case we consider in detail the different aspects of the elementary excitations when the proton, electron components are considered within the Random-Phase Approximation generalized to the superfluid case, while the influence of the neutron component is considered only at qualitative level. Electron screening plays a major role in modifying the proton spectrum and spectral function. At the same time the electron plasmon is strongly modified and damped by the indirect coupling with the superfluid proton component, even at moderately low values of the gap. The excitation spectrum shows the interplay of the different components and their relevance for each excitation modes. The results are relevant for neutrino physics and thermodynamical processes in neutron stars. If electron screening is neglected, the spectral properties of the proton component show some resemblance with the physical situation in high-T _c superconductors, and we briefly discuss similarities and differences in this connection. In a general prospect, the results of the study emphasize the role of Coulomb interaction in strong superconductors.     

Plasmons in double quantum wells in a parallel magnetic field

Collective intraband charge-density excitations in the quasi-two-dimensional electron system of double GaAs/AlGaAs quantum wells in an external parallel magnetic field B_∥ are studied by inelastic light scattering. It has been found that the energy of the excitations under study (acoustic and optical plasmons) exhibits anisotropy depending on the mutual orientation of B_∥ and the excitation quasi-momentum k. It is shown theoretically that, in a strong parallel magnetic field, the effects associated with the finite width of the quantum wells dominate over the effects associated with interlayer tunneling and determine the anisotropy of plasmons. The experimental data are compared with a theoretical calculation.     

Plasmons and their damping in a doped semiconductor superlattice

The complex zeroes of dielectric response function of a doped GaAs superlattice are computed to study the frequencies and damping rates of oscillations in coupled electron-hole plasma. The real part of a complex zero describes the plasma frequency, whereas imaginary part of it yields the damping rate. Strong scattering of charge carriers from random impurity potentials in a doped GaAs superlattice gives rise to a large value of damping rate which causes over-damping of plasma oscillations of coupled electron-hole gas below q_c, a critical value of wave vector component (q) along the plane of a layer of electrons (holes). The plasma oscillations which correspond to electrons gas enter into over-damped regime for the case of weak coupling between layers. Whereas, plasma oscillations which belong to hole gas go to over-damped regime of oscillations for both strong as well as weak coupling between layers. The damping rate shows strongq-dependence forq < q_c, whereas it weakly depends onq forq ≥q _c . The damping rate exhibits a sudden change atq =q _c , indicating a transition from non-diffusive regime (where collective excitation can be excited) to diffusive regime (over-damped oscillations).     

Propagation of Plasmons in a Graphene Bilayer in a Transverse Electric Field

Physics of the Solid State - The dispersion relation for plasma waves in a graphene bilayer is studied. The effect of the difference of potentials between graphene layers on the dispersion line...     

非傍轴矢量高斯光束的圆屏衍射

利用矢量瑞利衍射积分公式，推导出非傍轴矢量高斯光束圆屏衍射的解析表示式.非傍轴矢量高斯光束圆屏衍射的轴上场分布、远场表示式、自由空间中的传输公式，以及傍轴近似下高斯光束圆屏衍射的菲涅耳和夫琅禾费衍射公式可以作为一般公式的特例统一处理.数 值计算和比较实例说明了非傍轴矢量高斯光束的光强分布和远场特性.分析表明，在圆屏衍 射中，f参数和截断参数决定光束的非傍轴行为. 关键词： 传输光学 非傍轴矢量高斯光束 圆屏衍射 矢量瑞利衍射积分公式     

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.     

Dispersion of Surface Plasmons in Structures with a Conducting Film

Optics and Spectroscopy - The dispersion equations, the group velocity, the slowdown, and the conditions for forward and backward slow and fast plasmons propagating along thin metal films, as well...     

Plasmons and magnetoplasmons in semiconductor heterostructures

The purpose of this review is to survey the status of the theory and experiment which can contribute to our knowledge of plasmon excitations in synthetic semiconductor heterostructures. With increasing sophistication of experimental probes, plasmons are now often used as a diagnostic tool to characterize the electronic structure of new materials. The surface plasmon becoming known as plasmon–polariton is simply an electromagnetic (EM) wave that propagates along the interface separating the two media. The strength of the fields associated with the wave is localized at and decays exponentially away from the interface. In preparing this review we feel that, beyond the presentation of the results achieved, there is a need to examine carefully the methodologies employed to obtain such results. By methodologies, we do not mean to go into the details of the mathematical machinery (this is carefully avoided!). The time has come, however, to look with a critical eye at the development of the principles, tools, and applications of the model theories applied to diverse geometries of heterostructures. Attention is largely given to the non-radiative modes, scrutinizing the effects of an applied magnetic field, carrier collisions, retardation, and interaction with optical phonons. We have mostly confined our attention to the intrasubband modes, which could be investigated through the use of classical as well as quantal approaches. Abiding by the central theme of the review, numerous theoretical results on plasmons and magnetoplasmons in several geometries of practical interest have been gathered and reviewed. This survey is preceded by the basics of several methodologies, both classical and quantal, applicable to a wide variety of systems of varying interest. The report concludes addressing briefly the anticipated implications of plasmon observation in the respective composite systems under a variety of circumstances. Our satisfaction in writing this review, like any other review which covers a considerably longer period,was in bringing together the results of primary research papers and presenting some unified account of progress in the field. The background provided is believed to make less formidable the task of future writers of reviews in this field and hence enable them to deal more readily with particular aspects of the subjects, or with recent advances in those directions in which notable progress may have been made.     

金微纳阵列表面等离激元中红外波段光谱特性

表面等离激元是金属表面自由电子在入射光激发下产生的电子集体振荡行为及其相应的电磁场分布。目前，金微纳颗粒表面等离激元除了在可见光波段内被大量研究和应用外，在中红外波段内也显示出独特的光谱特性，具备设计生产优良传感器的潜力，因而同样备受瞩目。研究表明，在中红外波段内设计表面等离激元传感器的关键问题在于如何有效地调节共振谱的共振波长、峰值吸收率以及半峰宽等主要特征参数。相比于单个微纳颗粒而言，阵列结构由于拥有良好的周期性，从而能够在上述参数的宽光谱调节方面具有独特的优势。基于此，提出一种基于金微纳颗粒组成的阵列结构，利用时域有限差分方法，在4～18 μm波段范围内，通过分别改变该阵列的结构参数，包括颗粒半径、高度、间距及颗粒形状等，系统地研究了该微纳阵列结构在中红外波段对入射光的反射光谱、透射光谱和吸收光谱等特性的影响。研究发现，在8～10 μm光谱内，入射光能够与其所激发的金微纳阵列表面等离激元产生共振效应，表现出明显的共振峰特性。可以通过分别改变上述结构参数来有效调节吸收率谱线共振峰的共振波长、峰值吸收率和半峰宽等主要特征参数。研究结果对中红外光谱内基于金微纳阵列结构传感器的科学研究和实际设计具有独特的理论应用价值。     

Diffraction of a plane electromagnetic wave at a schwarzschild black hole

Using the technique of Debye potentials a rigorous solution of the diffraction problem is given as a superposition of an incident wave, strongly connected with the Coulomb scattering wave function, and a scattered wave, which is purely outgoing for large distances. The solution fulfils the boundary conditions to be the light of a very distant star and to be purely ingoing at the Schwarzschild horizon. The phase shifts of the partial waves are evaluated in the WBK approximation.