Frequency-Independent Response of Self-Complementary Checkerboard Screens

A frequency-independent boundary element method for scattering by two-dimensional screens and apertures

We propose and analyse a hybrid numerical–asymptotic hp boundary element method (BEM) for time-harmonic scattering of an incident plane wave by an arbitrary collinear array of sound-soft twodimensional screens. Our method uses an approximation space enriched with oscillatory basis functions, chosen to capture the high-frequency asymptotics of the solution. We provide a rigorous frequencyexplici...

Self-complementary circulant graphs

Self-Complementary Hypergraphs

In this thesis, we survey the current research into self-complementary hypergraphs, and present several new results. We characterize the cycle type of the permutations on n elements with order equal to a power of 2 which are k-complementing. The k-complementing permutations map the edges of a k-uniform hypergraph to the edges of its complement. This yields a test to determine whether a finite p...

Complementary pair-density-wave and d-wave-checkerboard orderings in high-temperature superconductors

The competing orders in the particle-particle P-P channel and the particle-hole P-H channel have been proposed separately to explain the pseudogap physics in cuprates. By solving the Bogoliubov-de Gennes equation self-consistently, we show that there is a general complementary connection between the d-wave-checkerboard DWCB order in the P-H channel and the pair-density-wave PDW order in the P-P...

Study of a Miniaturized Quasi-Self-Complementary UWB Antenna in Frequency and Time Domain

A compact antenna for UWB communication systems has been realized by employing a quasi-selfcomplementary structure together with a triangular notch on microstrip feed line in this paper. The optimal design of this type of antenna can offer an ultra wide return loss bandwidth with reasonable radiation properties. It features a quite small physical dimension of 16 mm×25 mm, corresponding to an el...