We find 26 reflections in the automorphism group of the the Lorentzian Leech lattice L over Z[e2πi/3] that form the Coxeter diagram seen in the presentation of the bimonster. We prove that these 26 reflections generate the automorphism group of L. We find evidence that these reflections behave like the simple roots and the vector fixed by the diagram automorphisms behaves like the Weyl vector f...

The external quantum efficiency of solar cells can be improved by using texturing pyramid- and honeycomb-like structures with minimum reflection. In this study, we investigated the reflection properties of texturing structures through rigorous coupled-wave analysis and the three-dimensional finite-difference time domains (FDTD) method to analyze close-packed texturing structures. We also demons...

We show that spoof surface plasmons can be used to control the reflection of terahertz radiation at the output facet of a parallel-plate waveguide. Using a periodic groove pattern on the output face, reflectivity approaching 100% can be achieved within a limited spectral range. Unlike the conventional geometry for plasmon-enhanced transmission, this approach enables a unique method for studying...

In this paper the effects of subwavelength antenna resonator element dimensions on the anomalous reflection properties of metasurfaces operating in the millimeter wave and terahertz frequency regions are investigated. Such twodimensional structures are finding uses as flat optics in a variety of applications including beam steerers, reflectarrays, and broadband, polarization-independent radar a...

XML-based databases have become a major area of interest in database research. Abstractly speaking they can be considered as a resurrection of complexvalue databases using constructors for records, lists, unions plus optionality and references. XQuery has become the standard query language for XML. In this paper an implementation of XQuery based on linguistic reflection is proposed. That is, XQ...

introduction: reflection is considered as a critical characteristic in professional competitions. despite propagation of reflection as an important educational issue and existence of several helpful patterns, instructions conducted by teachers to explaining and expanding of it, are very little. studies related to this topic were mainly performed in the field of nursing. therefore, we decided to...

Many common objects have highly reflective metallic or painted finishes. Their appearance is primarily defined by the distortion the curved shape of the surface introduces in the reflections of surrounding objects. Reflection lines are commonly used for surface interrogation, as they capture many essential aspects of reflection distortion directly, and clearly show surface imperfections that ma...

An azimuth-tuned tri-color shift device based on an embedded subwavelength one-dimensional rectangular structure with single period is proposed. High reflection efficiencies for both TE and TM polarizations can be achieved simultaneously. Under an oblique incidence of 60°, the reflection efficiencies can reach up to 85, 86, and 100 % in blue (azimuth of 24°), green (azimuth of 63°), and red (az...

Given a polygon P in the plane, a pop operation is the reflection of a vertex with respect to the line through its adjacent vertices. We define a family of alternating polygons, and show that any polygon from this family cannot be convexified by pop operations. This family contains simple, as well as non-simple (i.e., self-intersecting) polygons, as desired. We thereby answer in the negative an...

The concept of canopy spectral invariants states that simple algebraic combinations of leaf and canopy spectral transmittance and reflectance become wavelength independent and determine a small set of canopy structure specific variables. This set of structural variables specify the spectral response of a vegetation canopy to the incident solar radiation and allow for a simple and accurate param...