We develop an efficient, semianalytical, spectrally accurate, and well-conditioned hybrid method for the study of electrostatic fields in composites consisting of an arbitrary distribution of dielectric spheres and ions that are loosely or densely (close to touching) packed. We first derive a closed-form formula for the image potential of a general multipole source of arbitrary order outside a ...

We show that multipole solitons can be made stable via vectorial coupling in bulk nonlocal nonlinear media. Such vector solitons are composed of mutually incoherent nodeless and multipole components jointly inducing a nonlinear refractive index profile. We found that stabilization of the otherwise highly unstable multipoles occurs below certain maximum energy flow. Such a threshold is determine...

Following the procedure of Hoenselaers and Perjés we present a new corrected and dimensionally consistent set of multipole gravitational and electromagnetic moments for stationary axisymmetric spacetimes. Then, we use them to compute the multipole moments, both gravitational and electromagnetic, of a KerrNewman black hole.

In bunch compressors for SASE-FEL facilities, the projected transverse emittance can be diluted by magnetic multipole component errors in dipoles and dipole misalignments as well as by coherent synchrotron radiation (CSR). In this paper, we describe the multipole field tolerances and the misalignment tolerances of the first bunch compressor (BC2) for the TESLA Test Facility Phase-2 (TTF-2).

We introduce new, low-l, multipole vectors for the CMB temperature fluctuations. A very strong alignment of the quadrupole and octopole vectors is observed as well as a remarkably low declination of these vectors with respect to the galactic plane. The temperature fluctuations, ∆T (Ω), of the CMB radiation are traditionally decomposed according to ∆T (Ω) = ∑ lm almYlm(Ω) (1) where al−m = (−1) m...

Nilsson, M. 2003. Fast Numerical Techniques for Electromagnetic Problems in Frequency Domain. Acta Universitatis Upsaliensis. Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology 916. 38 pp. Uppsala. ISBN 91-554-5827-0 The Method of Moments is a numerical technique for solving electromagnetic problems with integral equations. The method discretizes a surfa...

Multipole moments carry a lot of information about the gravitational field. Nonetheless, knowing all multipole an object does not determine conclusively nature itself. In particular, field Kerr spacetime are unique. Here we construct several physically motivated Newtonian objects with identical to those Kerr. Moreover, also provide description how include post-Newtonian corrections these withou...