We study the focusing properties of a two dimensional complex square-lattice photonic crystal (PC) comprising air holes immersed in Ge medium. The finite difference time domain (FDTD) method is utilized to calculate the dispersion band diagram and to simulate the image formation incorporating the perfectly matched layer (PML) boundary condition. In contrast to the common square PCs with the sam...

We study statistical properties of energy spectra of a tight-binding model on the twodimensional quasiperiodic Ammann-Beenker tiling. Taking into account the symmetries of finite approximants, we find that the underlying universal level-spacing distribution is given by the Gaussian orthogonal random matrix ensemble, and thus differs from the critical level-spacing distribution observed at the m...

We develop cluster algorithms for a broad class of loop models on two-dimensional lattices, including several standard O(n) loop models at n> or =1. We show that our algorithm has little or no critical slowing-down when 1< or =n< or =2. We use this algorithm to investigate the honeycomb-lattice O(n) loop model, for which we determine several new critical exponents, and a square-lattice O(n) loo...

This paper investigates the core and cladding effective area and splicing loss behavior of a square lattice photonic crystal fiber. These behaviors of square lattice photonic crystal fiber are also compared with the hexagonal photonic crystal fiber. Effective index method is applied for the numerical calculation and the plot has been analyzed by using MATLAB. It has been observed that by choosi...

In this paper we define infinite-dimensional algebra and its representation, whose basis is naturally identified with semi-infinite configurations of the square ladder model (square lattice two lines). All these lead to representation N=2 algebra. We also extrapolate ideas for 3-leg triangular on cylinder.

Wavelength-selective uncooled infrared (IR) sensors are highly promising for a wide range of applications, such as fire detection, gas analysis and biomedical analysis. We have recently developed wavelength-selective uncooled IR sensors using square lattice two-dimensional plasmonic absorbers (2-D PLAs). The PLAs consist of a periodic 2-D lattice of Au-based dimples, which allow photons to be m...

We report on recent results for strongly frustrated quantum J1–J2 antiferromagnets in dimensionality d = 1, 2, 3 obtained by the coupled cluster method (CCM). We demonstrate that the CCM in high orders of approximation allows us to investigate quantum phase transitions driven by frustration and to discuss novel quantum ground states. In detail we consider the ground-state properties of (i) the ...

Methods for computing integral laminated lattices with prescribed minimum are developed. Laminating is a process of stacking layers of an (n l)-dimensional lattice as densely as possible to obtain an «-dimensional lattice. Our side conditions are: All scalar products of lattice vectors are rational integers, and all lattices are generated by vectors of prescribed minimum (square) length m. For ...

We develop a program to generate a two dimensional square lattice of which the number of magnetic sites and the size of magnetic clusters are adjustable. We adopt the lattice-generating program to study effects of magnetic clusters on the Berezinskii-Kosterlitz-Thouless transition and the helicity modulus in a two dimensional XY model of a diluted magnetic system via hybrid Monte carlo simulati...

We study statistical properties of energy spectra of a tight-binding model on the two-dimensional quasiperiodic Ammann-Beenker tiling. Taking into account the symmetries of nite approximants, we nd that the underlying universal level-spacing distribution is given by the Gaussian orthogonal random matrix ensemble, and thus diiers from the critical level-spacing distribution observed at the metal...