The resonant modes of rectangular two-dimensional optical resonators were analyzed exactly. Based on the characteristics of the Bessel function, the resonant frequencies of the rectangular microcavities are expressed in a simple way. In addition, a simple rule to judge when the finite length of a rectangular resonator can be considered infinite is given in realistic applications. The solution t...

Rectangular arrays of Ni dots with small interdot separation have been fabricated in superconducting Nb films. The geometry of these rectangular arrays defines deep pinning potential channels. Two effects have been observed. ~i! When the vortices move perpendicular to the channels ~i.e., along the long side of the rectangular array! an enhancement of the background pinning is observed, as predi...

Algorithms are presented which allow to perform morphological transformations on unorganised sets of points represented by their Delaunay triangulation. The results show that these algorithms could behaves as morphological operators such as erosion, dilatation, opening do. As a matter of fact, they actually act as “shape filter”. These algorithms are applied to the problem of scene reconstructi...

Institute of Technology, University of Tartu, Tartu 50411, Estonia (K.L., E.M., H.K.); Division of Biological Sciences, Cell and Developmental Biology Section, University of California, San Diego, La Jolla, California 92093–0116 (B.B., J.L., J.I.S.); College of Forest Resources and Environment, Nanjing Forestry University, Nanjing 210037, China (J.L.); Institute of Plant Physiology and Ecology,...

In this paper we prove some fixed point theorems for Reich type contractions on cone rectangular metric spaces endowed with a graph without assuming the normality of cone. The results of this paper extends and generalize several known results from metric, rectangular metric, cone metric and cone rectangular metric spaces in cone rectangular metric spaces endowed with a graph. Some examples are ...

An important case of hybrid systems are the rectangular automata. First, rectangular dynamics can naturally and arbitrarily closely approximate more general, nonlinear dynamics. Second, rectangular automata are the most general type of hybrid systems for which model checking |in particular, Ltl model checking| is decidable. However, on one hand, the original proofs of decidability did not sugge...

Abstract. A rectangular cartogram is a type of map where every region is a rectangle. The size of the rectangles is chosen such that their areas represent a geographic variable such as population or GDP. In recent years several algorithms for the automated construction of rectangular cartograms have been proposed, some of which are based on rectangular duals of the dual graph of the input map. ...

Some structural properties of the energy eigenfunctions of a hydrogenic system in half space, are analysed. Specifically, we have obtained the asymptotic behaviour when the electron is far away from the nucleus, the coalescence property when it is close to the nucleus, the inflection property when it is close to the potential barrier, the property when the nucleus is far away from the barrier, ...

We describe an electron filter that exploits the known magnetotransport properties of quantum point contacts to provide local and tunable control of the spin polarization in a semiconductor. When properly configured, we show that the conductance of this device gives a direct measure of the spin polarization of carriers transmitted through it. By modeling the transport through a potential barrie...

Ongoing regulatory reforms have led to several novel spectrum sharing models under the general umbrella of dynamic spectrum sharing. The private commons model introduced by FCC in 2004 allows spectrum licensees to provide secondary access to spectrum on an opportunistic basis while retaining ownership. Since wireless communication systems are typically overprovisioned in order to deliver servic...