A plate−gap model of a porous enzyme doped electrode covered by a porous inert membrane has been proposed and analyzed. The two−dimensional−in−space mathematical model of the plate−gap biosensors is based on the reaction−diffusion equations containing a nonlinear term related to the Michaelis−Menten kinetics. Using numerical simulation of the biosensor action, the influence of the geometry of t...

The analysis of all Casimir force experiments using a sphere-plate geometry requires the use of the proximity-force approximation (PFA) to relate the Casimir force between a sphere and a flat plate to the Casimir energy between two parallel plates. Because it has been difficult to assess the PFA's range of applicability theoretically, we have conducted an experimental search for corrections to ...

A miniaturized internal wideband antenna suitable for integration with the printed circuit board (PCB) of a wireless universal serial bus (WUSB) dongle is presented in this paper. The proposed antenna mainly consists of a folded metal plate with two sides beveled. By introducing a short-circuited pin connected to the system ground and etching a pair of slots in the bevel sides of the folded met...

We introduce an interactive interface for the custom design of metallophones. The shape of each plate must be determined in the design process so that the metallophone will produce the proper tone when struck with a mallet. Unfortunately, the relationship between plate shape and tone is complex, which makes it difficult to design plates with arbitrary shapes. Our system addresses this problem b...

The method of moments in the Hankel transform domain is applied to the determination of the fields scattered by a conducting circular plate buried in a lossy dispersive half-space when the plate is illuminated by a plane wave. The scattered fields obtained in the frequency domain are used to model the time-domain short-pulse scattering via the inverse fast Fourier transform. The authors show th...

A concise method for following the evolving geometry of a moving surface using Lagrangian coordinates is described. All computations can be done in the fixed geometry of the initial surface despite the evolving complexity of the moving surface. The method is applied to three problems in nonlinear elasticity: the bulging of a thin plate under pressure (the original motivation for Föppl-von Karma...

We discuss some properties of dielectric gratings with period comparable with the illuminating wavelength for slanted illumination (this illumination geometry is often referred to as concical mounting). We demonstrate the usefulness of such an illuminating geometry. We show that the threshold period (under which only the zeroth transmission and reflection orders are nonevanescent) can be signif...

We provide some general theoretical results to guide the optimization of transverse hydrodynamic phenomena in superhydrophobic channels. Our focus is on the canonical micro- and nanofluidic geometry of a parallel-plate channel with an arbitrary two-component (low-slip and high-slip) coarse texture, varying on scales larger than the channel thickness. By analyzing rigorous bounds on the permeabi...

Megasplay faults, very long thrust faults that rise from the subduction plate boundary megathrust and intersect the sea floor at the landward edge of the accretionary prism, are thought to play a role in tsunami genesis. We imaged a megasplay thrust system along the Nankai Trough in three dimensions, which allowed us to map the splay fault geometry and its lateral continuity. The megasplay is c...

This study addresses intelligent techniques for fulfilling quality control of bead-on-plate welding. A new visual double-sided sensing system capable of imaging the weld pool topside and backside simultaneously in a frame was provided to determine the weld pool geometry parameters. The imaging principle was analyzed with spectrum distribution, in which the weld pool was illuminated by arc light...