We consider the inverse problem of discovering the location of a source from very sparse point measurements in a bounded domain that contains impenetrable (and possibly unknown) obstacles. We present an adaptive algorithm for determining the measurement locations, and ultimately, the source locations. Specifically, we investigate source discovery for the Laplace operator, though the approach ca...

We extend the phase modulation method by in-plane diffractions from plane wave incidence to point source of surface plasmon polariton (SPP). A well-defined SPP focus is successfully realized from a point source under the diffraction by a carefully designed nanohole array, which is easy to layout in the future integrated optical circuits. With this method, the SPP Airy beam and finite plane wave...

In this paper, the performance of point light source parameter estimation from two video images is analyzed in terms of estimation theory. The illumination parameters are the intensity and direction of a single distant point light source in presence of ambient light. Known illumination estimation methods evaluate temporal changing shading on the surface of rotating objects in two video images. ...

We study diffusive lattice gases with local injection of particles, namely we assume that whenever the origin becomes empty, a new particle is immediately injected into the origin. We consider two lattice gases: a symmetric simple exclusion process and random walkers. The interplay between the injection events and the positions of the particles already present implies an effective collective in...

The notion of magnitude limits is formalized as a compromise between incompleteness and spurious detections. The best possible detection performance for given signal-to-noise is then computed for diierent point spread functions and pixel sizes. The resulting theoretical magnitude limits are much shallower than simple 3 arguments would predict (and the reason for this is explained), but are (as ...

The correlations between passive smoking and benzene are very weak. This weakness is further demonstrated in another EPA report (7) that shows when the New Jersey and the California data for matched indoor and outdoor samples are regressed, only the first group of data for Los Angeles (LAI) show a significant correlation with the presence of a smoker in the home, and then only with p = 0.1 (pro...

What is the stability of recovering the location of xj . Suppose the number of point sources is known as m. Or we formulate the stability argument as following statement. Statement 1.1 If ul for l = 1, 2 be the solutions of equation 1 associated with Cauchy data (f , g) and sources F l = ∑m j=1 P l jδ(x − xj), if we have ‖(f, g) − (f, g)‖ ≤ , can we find a permutation π of {1, 2, . . . ,m} such...

Scientists have begun using self-replicating rapid prototyper (RepRap) 3-D printers to manufacture open source digital designs of scientific equipment. This approach is refined here to develop a novel instrument capable of performing automated large-area four-point probe measurements. The designs for conversion of a RepRap 3-D printer to a 2-D open source four-point probe (OS4PP) measurement de...

A source-seeking process for a pair of simple, low capability robots using only point measurements is proposed and analyzed. The robots are assumed to bememoryless, to lack the capability of performing complex computations and to have no direct communication abilities. Their only implicit formof communication is by sensing their relative position and the only response of a robot to the point me...