Numerical analysis of the functional properties of the 3D resonator of a plasmon nanolaser with regard to nonlocality and prism presence via the Discrete Sources method

The influence of the nonlocality effect on the optical characteristics of the near field of a plasmonic nanolaser resonator is considered. A computer model based on the Discrete Sources method has been developed for the analysis of the near-field characteristics of a layered nanoparticle located on a transparent substrate in an active medium. In this case, the nonlocality of the plasmon metal is taken into account within the framework of a Generalized Nonlocal Optical Response model. Excitation of a particle by both propagating and evanescent waves is investigated. "Optimal" directions of external excitation have been established. It is found that excitation by an evanescent wave leads to a higher intensity of the near field. It is demonstrated that accounting for the nonlocal effect in the plasmonic metal significantly reduces the field amplification factor.

On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials

Evaluation of size effects in functionally graded elastic nanobeams is carried out by making recourse to the nonlocal continuum mechanics. The Bernoulli-Euler kinematic assumption and the Eringen nonlocal constitutive law are assumed in the formulation of the elastic equilibrium problem. An innovative methodology, characterized by a lowering in the order of governing differential equation, is adopted in the present manuscript in order to solve the boundary value problem of a nanobeam under flexure. Unlike standard treatments, a second-order differential equation of nonlocal equilibrium elastic is integrated in terms of transverse displacements and equilibrated bending moments. Benchmark examples are developed, thus providing the nonlocality effect in nanocantilever and clampled-simply supported nanobeams for selected values of the Eringen scale parameter.

A Nonlocal Model for Carbon Nanotubes under Axial Loads

Various beam theories are formulated in literature using the nonlocal differential constitutive relation proposed by Eringen. A new variational framework is derived in the present paper by following a consistent thermodynamic approach based on a nonlocal constitutive law of gradient-type. Contrary to the results obtained by Eringen, the new model exhibits the nonlocality effect also for constant axial load distributions. The treatment can be adopted to get new benchmarks for numerical analyses.

Nonlocality Effect in Atomic Force Microscopy Measurement and Its Reduction by an Approaching Method

In AFM measurements of surface morphology, the locality is a traditional assumption, i.e., the load recorded by AFM is simply the function of the distance between the tip of AFM and the point on a sample right opposite the tip [Giessibl, F. J., 2003, “Advances in Atomic Force Microscopy,” Rev. Mod. Phys., 75, pp. 949–983]. This paper presents that nonlocality effect may play an important role in atomic force microscopic (AFM) measurement. The nonlocality of AFM measurement results from two different finite scales: the finite scale of the characteristic intermolecular interaction distance and the geometric size of AFM tip. With a coupled molecular-continuum method, we analyzed this nonlocality effect in detail. It is found that the nonlocality effect can be formulated by a few dimensionless parameters characterizing the ratio of the following scales: the characteristic intermolecular interaction distance between the AFM tip and the sample, the characteristic size of the tip and the characteristic nano-structure and∕or the nanoscale roughness on the surface of a sample. The present work also suggests a data processing algorithm—the approaching method, which can reduce the nonlocality effect in AFM measurement of surface morphology effectively.