Following Mie theory, nanoparticles made of a high‐refractive‐index dielectric, such as silicon, exhibit a resonator‐like behavior and very rich resonance spectra. Which electric or magnetic particle mode is excited depends on the wavelength, the refractive‐index contrast relative to the environment, and the geometry of the nanoparticle itself. In addition, the spatial structure of the impinging light field plays a major role in the excitation of the nanoparticle resonances. Here, it is shown that, by tailoring the excitation field, individual multipole resonances can be selectively addressed while suppressing the excitation of other particle modes. This enables a detailed study of selected individual resonances without interference by the other modes.
The compact curves of an intermediate Kato surface form a basis of . We present a way to compute the associated rational coefficients of the first Chern class . We get in particular a simple geometric obstruction for to be an integral class, or equivalently index . In the final part we discuss relations with some recent work of Dloussky (2011) and Oeljeklaus and Toma (2009). 相似文献
We consider solutions of a system of refinement equations written in the form
where the vector of functions is in and is a finitely supported sequence of matrices called the refinement mask. Associated with the mask is a linear operator defined on by . This paper is concerned with the convergence of the subdivision scheme associated with , i.e., the convergence of the sequence in the -norm.
Our main result characterizes the convergence of a subdivision scheme associated with the mask in terms of the joint spectral radius of two finite matrices derived from the mask. Along the way, properties of the joint spectral radius and its relation to the subdivision scheme are discussed. In particular, the -convergence of the subdivision scheme is characterized in terms of the spectral radius of the transition operator restricted to a certain invariant subspace. We analyze convergence of the subdivision scheme explicitly for several interesting classes of vector refinement equations.
Finally, the theory of vector subdivision schemes is used to characterize orthonormality of multiple refinable functions. This leads us to construct a class of continuous orthogonal double wavelets with symmetry.
In this paper, we consider the global stability of solutions of a Weak Vector Variational Inequality in a finite-dimensional
Euclidean space. Upper semi-continuity of the solution set mapping is established. And by a scalarization method, we derive
a sufficient condition that guarantees the lower semi-continuity of the solution set mapping for the Weak Vector Variational
Inequality 相似文献