Phase-demodulation algorithms in interferometry often depend on a sequence of evenly spaced reference phase shifts. These phase shifts must be accurately calibrated and can be distorted by geometric effects, especially when spherical components with high curvature are tested. Here the resulting measurement errors are quantified through mathematical analysis, and it is shown that modern phase-es...

This report describes the spontaneous folding of flat elastomeric sheets, patterned with magnetic dipoles, into free-standing, 3D objects that are the topological equivalents of spherical shells. The path of the self-assembly is determined by a competition between mechanical and magnetic interactions. The potential of this strategy for the fabrication of 3D electronic devices is demonstrated by...

A series of high-order surface element discretization schemes for variational boundary element methods are introduced. The surface elements are chosen in accord with angular quadrature rules for integration of spherical harmonics. Surface element interactions are modeled by Coulomb integrals between spherical Gaussian functions with exponents chosen to reproduce the exact variational energy and...

Abstract—The problem of spherical motions around the center of mass of a single-rotor dynamically symmetrical gyrostat with a spherical cavity, entirely filled with highly viscous fluid, is studied. The motion equations are calculated, stationary motions are found and their stability is studied. On the principle of feedback many controls are found, stabilizing unstable and stable stationary mot...

We develop a cavity method in the spherical Sherrington-Kirkpatrick model at high temperature and small external field. As an application we carry out second moment computations for the overlap and magnetization.

Possible con®gurations of the magnetic ®eld in the outer magnetosphere during geomagnetic polarity reversals are investigated by considering the idealized problem of a magnetic multipole of order m and degree n located at the centre of a spherical cavity surrounded by a boundless perfect diamagnetic medium. In this illustrative idealization, the ®xed spherical (magnetopause) boundary layer beha...

We develop the cavity method for the spherical Sherrington-Kirkpatrick model at high temperature and small external field. As one application, we carry out the second moment computations for the overlap and the magnetization.

In rock engineering, damage evolution upon loading imposes significant impacts on the stiffness of mass and its deformation characteristics. order to investigate influence both plasticity cavity expansion, a plastic solution is derived for undrained spherical expansion in medium. For consideration plasticity-damage, Modified Cam-Clay (MCC) model selected as driver, criterion adopted coupled wit...