Application of the CBF Method to the Scattering by Combinations of Bodies of Revolution and Arbitrarily Shaped Structures

In this paper, an algorithm is described which enables efficient analysis of electromagnetic scattering by configurations consisting of arbitrarily shaped conducting bodies and conducting bodies of revolution (BoR). The well-known problem resulting from the loss of azimuthal mode decoupling, when in addition to BoR geometry there exists a body that does not belong to the rotational symmetry of the BoR, is circumvented by the use of characteristic basis function (CBF) method. This however requires careful implementation of the method in order to obtain stable and efficient procedure

Wideband Characteristic Basis Functions in Radiation Problems

In this paper, the use of characteristic basis function (CBF) method, augmented by the application of asymptotic waveform evaluation (AWE) technique is analyzed in the context of the application to radiation problems. Both conventional and wideband CBFs are applied to the analysis of wire and planar antennas

Universally Kuratowski-Ulam spaces and open-open games

We examine the class of spaces in which the second player has a winning strategy in the open--open game. We show that this spaces are not universally Kuratowski-Ulam. We also show that the games G and G7 introduced by P. Daniels, K. Kunen, H. Zhou [Fund. Math. 145 (1994), no. 3, 205--220] are not equivalent

Modeling of Luneburg Lenses With the Use of Integral Equation Macromodels

The so-called integral equation macromodel allowing to efficiently include Luneburg lens in the body-of-revolution method-of-moments (BoR-MoM) computational scheme is described. In the process of the macromodel construction, we make use of the equivalence-principle domain-decomposition-method (EP-DDM) and the asymptotic waveform evaluation (AWE) method. By the use of the macromodel, the number of unknowns in the final system of equations is reduced to those describing sources on the equivalent surface surrounding the lens. Moreover, thanks to the macromodel being valid in a certain frequency interval, the domain decomposition procedure does not have to be repeated for every frequency of interest, but it should only be done in some specified frequency points. However, the range of validity of the macromodel should be carefully investigated on the basis of full radiation pattern rather than on the basis of a single direction of observation

Cardinal invariants for C-cross topologies

C-cross topologies are introduced. Modifcations of the Kuratowski-Ulam Theorem are considered. Cardinal invariants add, cof, cov and non with respect to meager or nowhere dense subsets are compared. Remarks on invariants cof(nwdY) are mentioned for dense subspaces Y of X.Comment: 11 page

Inverse Systems and I-Favorable Spaces

A compact space X is I-favorable if, and only if X can be representing as a limit of $\sigma$-complete inverse system of compact metrizable spaces with skeletal bonding maps.Comment: 13 page