waveguides with low confinement loss, low chromatic dispersion, and low nonlinear effects are used in optical communication systems. optical fibers can also be employed in such systems. besides optical fibers, photonic crystal fibers are also highly suitable transmission media for optical communication systems. in this paper, we introduce two new designs of index-guiding photonic crystal fiber ...

Crossed complexes have longstanding uses, explicit and implicit, in homotopy theory and the cohomology of groups. It is here shown that the category of crossed complexes over groupoids has a symmetric monoidal closed structure in which the internal Hom functor is built from morphisms of crossed complexes, nonabelian chain homotopies between them and similar higher homotopies. The tensor product...

The electronic and magnetic properties of the hypothetical compounds of MC (M=Al, Ga and In) are investigated by using first-principle calculations and pseudopotential plane wave self-consistent field method based on density functional theory. In order to find the most stable phase of MC (M=Al, Ga and In), we study them in zinc-blende (ZB), rocksalt (RS), wurtzite and NiAs crystal structures. W...

LiF, Mg and Ti cubical TLD chips (known as TLD-100) are widely used for dosimetry purposes. The repeatability of TL dosimetry is investigated by exposing them to doses of (81, 162 and 40.5 mGy) with 662keV photons of Cs-137. A group of 40 cubical TLD chips was randomly selected from a batch and the values of Element Correction Coefficient (ECC) were obtained 4 times by irradiating them to doses...

This paper presents the first polynomial time algorithm to compute geodesics in a CAT(0) cubical complex in general dimension. The algorithm is a simple iterative method to update breakpoints of a path joining two points using Owen and Provan’s algorithm (2011) as a subroutine. Our algorithm is applicable to any CAT(0) space in which geodesics between two close points can be computed, not limit...

We consider closed simplicial and cubical n-complexes in terms of link of their (n−2)faces. Especially, we consider the case, when this link has size 3 or 4, i.e., every (n − 2)face is contained in 3 or 4 n-faces. Such simplicial complexes with short (i.e. of length 3 or 4) links are completely classified by their characteristic partition. We consider also embedding into hypercubes of the skele...

Nanostructured Ni2As2O7 semiconductor samples were synthesized by a solid state method among As2O3 and Ni(NO3)2.6H2O raw materials at 650 °C (S1) and 750 °C (S2) as reaction temperatures. The synthesized nanomaterials were characterized by powder X-ray diffraction (PXRD) technique and F...