We show that on a closed smooth manifold M equipped with k fiber bundle structures whose vertical distributions span the tangent bundle, every smooth diffeomorphism f of M sufficiently close to the identity can be written as a product f = f1 · · · fk, where fi preserves the ith-fiber. The factors fi can be chosen smoothly in f . We apply this result to show that on a certain class of closed smo...

A fiber-optic-bundle-based optical coherence tomography (OCT) probe method is presented. The experimental results demonstrate this multimode optical fiber-bundle-based OCT system can achieve a lateral resolution of 12 microm and an axial resolution of 10 microm with a superluminescent diode source. This novel OCT imaging approach eliminates any moving parts in the probe and has a primary advant...

In the past several years significant progress has been made in our understanding of infinite dimensional manifolds. Research in this area has split into two quite separate branches ; first a study of the theory of abstract Banach manifolds, and secondly a detailed study of the properties of certain classes of concrete manifolds that arise as spaces of differentiable maps or more generally as s...

We propose a generic model to describe the mechanical response and failure of systems which undergo a series of stick-slip events when subjected to an external load. We model the system as a bundle of fibers, where single fibers can gradually increase their relaxed length with a stick-slip mechanism activated by the increasing load. We determine the constitutive equation of the system and show ...

Introduction – We developed a template-based method for automatic labeling of white matter fiber bundles within whole-brain tractography models derived from diffusion-tensor imaging (DTI). The results show that the automatic labeling algorithm is able to correctly label six specific fiber bundles in two new subjects. We first ran automatic fiber clustering on DTI datasets of four healthy contro...

A new type of single-shot transient absorption apparatus is described based on a bundle of optical fibers. The bundle contains 100 fibers of different lengths, each successively giving approximately 15 ps longer optical delay. Data are collected by imaging light from the exit of the bundle into a sample where it is overlapped with an electron pulse or laser excitation pulse, followed by imaging...

A simulation model for an optical fiber bundle distance sensor with a single mode fiber as the illumination fiber and a multimode fiber as the receiving fiber is presented. Approximating the illumination light exiting the single mode fiber as having a Gaussian intensity profile, a closed-form solution of the reflected light coupled into the receiving fiber was derived. A distance sensor was imp...

An investigation of the relationships among fiber linear density, tenacity, and structure is important to help cotton breeders modify varieties for enhanced fiber end-use qualities. This study employed the Stelometer instrument, which is the traditional fiber tenacity reference method and might still be an option as a rapid screening tool because of its low cost and portable attributes. In addi...

Densely packed and twisted assemblies of filaments are crucial structural motifs in macroscopic materials (cables, ropes, and textiles) as well as synthetic and biological nanomaterials (fibrous proteins). We study the unique and nontrivial packing geometry of this universal material design from two perspectives. First, we show that the problem of twisted bundle packing can be mapped exactly on...

In this paper we will outline the advantages of using fiber bundles in modeling disordered materials. We will present the main aspects of classical fiber bundle models (FBMs) and highlight their ability to capture some essential aspects of composite materials. We then present some extensions of the classical FBM, modifying the way of interaction of fibers, failure law, deformation state and con...