approximation of reasonably good accuracy by finite-difference methods for the function u(x,y) which satisfies Poisson's equation (1.1) V2 u(x,y) = f(x,y) inside a rectangle R , and satisfies various boundary conditions on

A new algorithm for determining the eigenstates of n–dimensional billiards is presented. It is based on the application of the Cauchy theorem for the determination of the null space of the boundary overlap matrix. The method is free from the limitations associated with the shape of the billiard

This is the author’s final, peer-reviewed manuscript as accepted for publication. The publisher-formatted version may be available through the publisher’s web site or your institution’s library. This item was retrieved from the K-State Research Exchange (K-REx), the institutional repository of Kansas State University. K-REx is available at

Abstract. In many application domains, occurrences of related spatial features may exhibit co-location pattern. For example, some disease may be in spatial proximity of certain type of pollution. This paper studies the problem of regional co-locations with arbitrary shapes. Regional colocations

Citation for published version (APA): Kristensson, G. (2000). Radiation by an aperture antenna of arbitrary shape. (Technical Report LUTEDX/(TEAT-7084)/1-32/(2000)). [Publisher information missing]. General rights Copyright and moral rights for the publications made accessible in the public portal

Texture is a widely used feature in content- and region-based retrieval systems. Most studies focus on texture extraction over an entire image or use color-texture combinations for regionbased retrieval. Less attention has been drawn towards texture extraction and its evaluation over arbitrary-shaped

In computer graphics and geometric modeling, shapes are often represented by triangular meshes. With the advent of laser scanning systems, meshes of extreme complexity are rapidly becoming commonplace. Such meshes are notoriously expensive to store, transmit, render, and are awkward to edit

In this paper we present a theory of optical forces on particles of arbitrary shape and size and with fields of arbitrary spatial profiles. This means the theory applies to particle–light interactions in every optical regime: Rayleigh, Mie and geometrical. The theory has the advantage of conceptual

We have studied the optical properties of metallic nanoparticles with arbitrary shape. We performed theoretical calculations of the absorption, extinction, and scattering efficiencies, which can be directly compared with experiments, using the discrete dipole approximation (DDA). In this work

Using the Discrete Dipole Approximation we have studied the optical properties of different isolated nanoparticles with arbitrary shapes. We have investigated the main features in the optical spectra, depending of the geometry and size of such nanoparticles. We present and discuss our results