In this paper, we obtain a necessary and sufficient condition for a conformal mapping between two Weyl manifolds to preserve Einstein tensor. Then we prove that some basic curvature tensors of $W_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. Also, we obtained the relation between the scalar curvatures of the Weyl manifolds r...

We develop an ab initio method to simulate the infrared vibrational response of metallic systems in framework time-dependent density functional perturbation theory. By introducing a generalized frequency-dependent Born effective charge tensor, we show that phonon peaks reflectivity metals can be always described by Fano function, whose shape is determined complex nature charges and electronic d...

We propose a novel way to trap and manipulate nano-objects above a dielectric substrate using an apertureless near-field probe. A combination of evanescent illumination and light scattering at the probe apex is used to shape the optical field into a localized, three-dimensional optical trap. We use the coupled-dipole method and the Maxwell stress tensor to provide a self-consistent description ...

We propose a simple dynamic model of polymers under shear with an anisotropic mobility tensor. We calculate the shear viscosity, the rheo-dielectric response function, and the parallel relaxation modulus under shear flow deduced from our model. We utilize recently developed linear response theories for nonequilibrium systems to calculate linear response functions. Our results are qualitatively ...

The optical and magneto-optical activities of yttrium iron garnet are shown to depend on the sintering stage. Low density yttrium iron garnet presents a lower optical activity than the high density garnet. The magneto-optical activity decreases at energies in which the optical transitions are associated to crystal field, indicating a relationship between the optical activity and the distortion ...

The most widespread approach to anisotropic media is dyadic analysis. However, to get a geometrical picture of a dielectric tensor, one has to resort to a coordinate system for a matrix form in order to obtain, for example, the index-ellipsoid, thereby obnubilating the deeper coordinate-free meaning of anisotropy itself. To overcome these shortcomings we present a novel approach to anisotropy: ...

We present spatial mapping of optical force generated near the hot spot of a metal-dielectric-metal bowtie nanoantenna at a wavelength of 1550 nm. Maxwell's stress tensor method has been used to simulate the optical force and it agrees well with the experimental data. This method could potentially produce field intensity and optical force mapping simultaneously with a high spatial resolution. D...

Certain hierarchical laminates with a wide separation of length scales are known theoretically to have optimal transport and mechanical properties. We derive analytical expressions for the n-point probability functions that statistically characterize the microstructure for more general hierarchical laminates with an arbitrary number of stages and a finite separation of length scales. Using two-...