Abstract Planar electromagnetic correction lenses were designed, constructed, and installed in order to compensate skew multipole components generated by an electromagnetic circularly polarizing undulator (CPU) for the Advanced Photon Source (APS). The reason for selection of the planar configuration is that the corrector lenses should fit around a flat undulator vacuum chamber. Comparison was ...

We study basic properties of quiescent and rotating multipole-mode solitons supported by axially symmetric Bessel lattices in a medium with defocusing cubic nonlinearity. The solitons can be found in different rings of the lattice and are stable when the propagation constant exceeds the critical value, provided that the lattice is deep enough. In a high-power limit the multipole-mode solitons f...

Introduction 147 10. Experimental realization of proper and pseudoproper Part I. Toroid moments in electrodynamics 149 orbital itinerant antiferromagnets 181 1. Formulation of the problem of the multipole expansion 149 Conclusions 187 2. Expansion of current densities 151 Appendix A. On the representation of vector currents (fields) 3. Multipole expansion of the interaction energy of a system t...

A treecode algorithm is presented for rapid computation of the nonbonded potential energy in classical molecular systems. The algorithm treats a general form of pairwise particle interaction with the Coulomb and London dispersion potentials as special cases. The energy is computed as a sum of group–group interactions using a variant of Appel’s recursive strategy. Several adaptive techniques are...

Generalized Multilevel Fast Multipole Methods in d Dimensions Nail A. Gumerov,∗ Ramani Duraiswami,† and Eugene A. Borovikov‡ Perceptual Interfaces and Reality Laboratory, Institute for Advanced Computer Studies, University of Maryland, College Park, Maryland, 20742. Abstract We present an overview of the Fast Multipole Method, explain the use of optimal data structures and present complexity re...

In this paper, we focus on the truncation error of the multipole expansion for the fast multipole method and the multilevel fast multipole algorithm. When the buffer size is large enough, the error can be controlled and minimized by using the conventional selection rules. On the other hand, if the buffer size is small, the conventional selection rules no longer hold, and the new approach which ...

Localized surface plasmon resonance (LSPR) has been shown to exhibit a strong potential for nanoscale electromagnetic field manipulation beyond the diffraction limit. Particularly dark mode plasmons circumvent radiation loss and store the energy long in time, which raise the prospect of interesting plasmonics applications, for example biochemical sensing and nanoscale lasing. Here we theoretica...

In recent year, a multipole graphical model, which is constructed by using individual MCG measurements based on the equivalent current dipole (ECD) or equivalent magnetic dipole (EMD) source model, has been developed with the aim of instead of the volume conductor model in the inverse solution of cardiac source estimation. In this paper, two graphical models known as the double magnetic dipole ...

In order to utilize the electron beam of the Stanford two-mile accelerator most effectively, an elaborate beam switchyard will be used. Two basic components constitute the switchyard: a switching magnet 2nd two deflecting transport systems. A precision deflection magnet system containing several dc magnets and quadrupoles will bend and momentum-analyze the electron and positron beams. This pape...

The simulation of many-body, many-particle system has a wide range of applications in area such as biophysics, chemistry, astrophysics, etc. It is known that the force calculation contributes ninety percent of the simulation time. This is mainly due to the fact that the total number of interactions in the force is O(N 2), where N is the number of particles in the system. The fast multipole algo...