Effects of quantum size and potential shape on the spectra of an electron and a hydrogenic-donor at the center of a permeable spherical cavity have been calculated, using linear variational method. B-splines have been used as basis functions. By extensive convergence tests and comparing with other results given in the literature, the validity and efficiency of the method were confirmed.

Design of the buncher cavity for Cornell / JLab ERL project is presented. This is a reentrant spherical copper cavity at a frequency of 1300 MHz. It will be installed between a 500 keV electron gun and superconducting accelerating sections in the injector part of ERL. The cavity has Q of 20,000 and a shunt impedance of 2.1 MOhm. For a design cavity voltage of 200 kV, power dissipated in cavity ...

Atom sensing based on Faraday rotation is an indispensable method for precision measurements, universally suitable for both hot and cold atomic systems. Here we demonstrate an all-optical magnetometer where the optical cell for Faraday rotation spectroscopy is augmented with a low finesse cavity. Unlike in previous experiments, where specifically designed multipass cells had been employed, our ...

We compute the free energy of confinement for a flexible self-avoiding polymer inside a spherical cavity. Accurate numerical results allow us to arbitrate between three competing scaling predictions. For moderate confinement, the free energy exhibits a power-law dependence on cavity size that is different from what is observed for planar and cylindrical confinement. At high monomer concentratio...

A modified simple cavity design for the grazing incidence dye laser is presented. Diffraction losses are reduced by the addition of an intracavity lens and 100% reflecting spherical end mirror. The resulting concentric resonator design allows conversion efficiencies of 15% to be achieved. In addition, linewidth reductions of 25-40% over the conventional cavity are obtained, and the effects of t...

An analytical investigation for the creeping motion of a spherically symmetric fluid-permeable composite sphere composed by a uniform porous core and a uniformly surrounded porous shell located at the center of a spherical cavity filled with an incompressible Newtonian fluid is presented here. In the limit of small Reynolds number, the Stokes and Brinkman equations are solved for the flow field...

A lossy metal-wall cavity resonator that extends well beyond perturbation theory limits is studied. An exact analytical solution is employed for the spherical cavity resonator, having walls transformed from being a perfect electrical conductor (PEC) to free space. This model then acts as an ideal benchmark reference standard. A plane-wave approximation is then derived. Independent full-wave num...

The Born–Kirkwood–Onsager ~BKO! model of solvation, where a solute molecule is positioned inside a cavity cut into a solvent, which is considered as a dielectric continuum, is studied within the bounds of nonlocal electrostatics. The nonlocal cavity model is explicitly formulated and the corresponding nonlocal Poisson equation is reduced to an integral equation describing the behavior of the ch...