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

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

Game Approach to Universally Kuratowski-Ulam Spaces

We consider a version of the open-open game, indicating its connections with universally Kuratowski-Ulam spaces. We show that: Every I-favorable space is universally Kuratowski-Ulam, (Theorem 8); If a compact space Y is I-favorable, then the hyperspace exp(Y) with the Vietoris topology is I-favorable, and hence universally Kuratowski-Ulam, (Theorems 6 and 9). Notions of uK-U and uK-U* spaces are compared.Comment: The paper is accepted for publication in "Topology and its Applications." (12 pages

Skeletally Dugundji spaces

We introduce and investigate the class of skeletally Dugundji spaces as a skeletal analogue of Dugundji space. The main result states that the following conditions are equivalent for a given space $X$: (i) $X$ is skeletally Dugundji; (ii) Every compactification of $X$ is co-absolute to a Dugundji space; (iii) Every $C^*$-embedding of the absolute $p(X)$ in another space is strongly $\pi$-regular; (iv) $X$ has a multiplicative lattice in the sense of Shchepin \cite{s76} consisting of skeletal maps

On the Application of the Incomplete QR Algorithm to the Analysis of Microstrip Antennas

In this paper, we provide some insight into the usage of fast, iterative, method-of-moments (MoM) solution of integral equations (IE) describing antennas and other metallic structures immersed in a planar multilayered environment. Based on the form of multilayered media Green's functions, we extract free-space terms, associated with direct rays within the analyzed structure, reducing the number of significant interactions required to describe the rest of MoM matrix. Next, we show that it is possible to construct a hybrid algorithm, where the fast multipole method (FMM) is used to the free-space matrix part, while the reduced rank incomplete QR (iQR) decomposition is applied to the remaining portion of the MoM matrix. This HM-iQR (hybrid multipole - incomplete QR) method is applied to a relatively large (in terms o f the number of unknowns) problem of plane wave scattering by a finite array of rectangular microstrip patches printed on a grounded dielectric slab. Computation results from the new algorithm are compared to literature data and to the results of the pure low rank IE-QR method

Very I-favorable spaces

AbstractWe prove that a Hausdorff space X is very I-favorable if and only if X is the almost limit space of a σ-complete inverse system consisting of (not necessarily Hausdorff) second countable spaces and surjective d-open bonding maps. It is also shown that the class of Tychonoff very I-favorable spaces with respect to the co-zero sets coincides with the d-openly generated spaces

Opportunities and challenges for modelling epidemiological and evolutionary dynamics in a multihost, multiparasite system: Zoonotic hybrid schistosomiasis in West Africa

Multihost multiparasite systems are evolutionarily and ecologically dynamic, which presents substantial trans‐disciplinary challenges for elucidating their epidemiology and designing appropriate control. Evidence for hybridizations and introgressions between parasite species is gathering, in part in line with improvements in molecular diagnostics and genome sequencing. One major system where this is becoming apparent is within the Genus Schistosoma, where schistosomiasis represents a disease of considerable medical and veterinary importance, the greatest burden of which occurs in sub‐Saharan Africa. Interspecific hybridizations and introgressions bring an increased level of complexity over and above that already inherent within multihost, multiparasite systems, also representing an additional source of genetic variation that can drive evolution. This has the potential for profound implications for the control of parasitic diseases, including, but not exclusive to, widening host range, increased transmission potential and altered responses to drug therapy. Here, we present the challenging case example of haematobium group Schistosoma spp. hybrids in West Africa, a system involving multiple interacting parasites and multiple definitive hosts, in a region where zoonotic reservoirs of schistosomiasis were not previously considered to be of importance. We consider how existing mathematical model frameworks for schistosome transmission could be expanded and adapted to zoonotic hybrid systems, exploring how such model frameworks can utilize molecular and epidemiological data, as well as the complexities and challenges this presents. We also highlight the opportunities and value such mathematical models could bring to this and a range of similar multihost, multi and cross‐hybridizing parasites systems in our changing world

PCIExpress Communication Layer for ATCA-based Linear Accelerator Control System

PCIExpress architecture is widely used communication bus designed, among other things, for industrial application. Additionally, according to PICMG 3.4 specification it is part of an ATCA architecture. For that reason PCIExpress was used as communication interface for data transmission between ATCA carrier boards and AMC modules for the new control system for XFEL linear accelerator. In this paper authors present general overview of this system, describe communication protocols designed to exchange data with external user application and show results of performance test