General unit-disk representation for periodic multilayers
نویسندگان
چکیده
منابع مشابه
General unit-disk representation for periodic multilayers.
We suggest a geometrical framework in which to discuss periodic layered structures in the unit disk. Bandgaps appear when the point representing the system approaches the unit circle. We show that the trace of the matrix describing the basic period allows for a classification in three families of orbits with quite different properties. The laws of convergence of the iterates to the unit circle ...
متن کاملWeak Unit Disk and Interval Representation of Graphs
We study a variant of intersection representations with unit balls: unit disks in the plane and unit intervals on the line. Given a planar graph and a bipartition of the edges of the graph into near and far edges, the goal is to represent the vertices of the graph by unit-size balls so that the balls for two adjacent vertices intersect if and only if the corresponding edge is near. We consider ...
متن کاملWeak Unit Disk and Interval Representation of Planar Graphs
We study a variant of intersection representations with unit balls, that is, unit disks in the plane and unit intervals on the line. Given a planar graph and a bipartition of the edges of the graph into near and far sets, the goal is to represent the vertices of the graph by unit balls so that the balls representing two adjacent vertices intersect if and only if the corresponding edge is near. ...
متن کاملA General Representation for Orientational Uncertainty Using Random Unit Quarternions
Previous work in representing transformational uncertainty used a linearized perturbed-transform method which assumes small angle errors. This paper presents an alternative representation using random unit quaternions that makes no strict small angle error assumption. The approach uses a novel family of probability density functions derived by placing a unit-length constraint upon some or all o...
متن کاملPeriodic Planar Disk Packings
Several conditions are given when a packing of equal disks in a torus is locally maximally dense, where the torus is defined as the quotient of the plane by a two-dimensional lattice. Conjectures are presented that claim that the density of any strictly jammed packings, whose graph does not consist of all triangles and the torus lattice is the standard triangular lattice, is at most n n+1 π √ 1...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Optics Letters
سال: 2003
ISSN: 0146-9592,1539-4794
DOI: 10.1364/ol.28.001501