Compensation of second-order dispersion in femtosecond pulses after filamentation using volume holographic transmission gratings recorded in dichromated gelatin

We have designed and developed a pulse compressor with volume transmission holographic gratings to be implemented in post-compression experiments based on filamentation in gases. Pulse compression down to 13?fs has been demonstrated. The gratings have been recorded in commercial PFG-04 dichromated gelatin emulsions with a recording wavelength of 532?nm, attaining sufficient index modulation to achieve high efficiency when they are illuminated by an 800-nm laser.     

Magnetically-driven biomimetic micro pumping using vortices

Planar micropumps utilizing vortices shed by an oscillating ferromagnetic bar are presented. The movement of the bar is induced by magnetic coupling with an external spinning magnet. Thus, energy transfer is achieved without physical contact or need of any on-chip power source. To create vortices inside the chip, the Reynolds number is locally increased with the oscillation of the bar. The utilization of the vortices as a tool for efficient transfer of energy is inspired by the behaviour of swimming animals and flying insects in nature. The pumps operate in two different scales (milli-scale and micro-scale) in order to take advantage of both. Experiments are presented characterizing the pumps and their flow patterns. The range of operation of the pumps is from 3 microl min(-1) to 600 microl min(-1), though smaller flow rates are also possible.     

A queueing system with linear repeated attempts,bernoulli schedule and feedback

We analyse a single-server retrial queueing system with infinite buffer, Poisson arrivals, general distribution of service time and linear retrial policy. If an arriving customer finds the server occupied, he joins with probabilityp a retrial group (called orbit) and with complementary probabilityq a priority queue in order to be served. After the customer is served completely, he will decide either to return to the priority queue for another service with probability ϑ or to leave the system forever with probability =1−ϑ, where 0≤ϑ<1. We study the ergodicity of the embedded Markov chain, its stationary distribution function and the joint generating function of the number of customers in both groups in the steady-state regime. Moreover, we obtain the generating function of system size distribution, which generalizes the well-knownPollaczek-Khinchin formula. Also we obtain a stochastic decomposition law for our queueing system and as an application we study the asymptotic behaviour under high rate of retrials. The results agree with known special cases. Finally, we give numerical examples to illustrate the effect of the parameters on several performance characteristics.     

2D separations on a 1D chip: gradient elution moving boundary electrophoresis-chiral capillary zone electrophoresis

A new method is described for two-dimensional (2D) separations using a microfluidic chip normally employed for single dimension electrophoresis. The method employs a combination of gradient elution moving boundary electrophoresis (GEMBE) and chiral capillary zone electrophoresis (CZE). The simplicity of the first dimension GEMBE method enables its implementation in the injection channel of a conventional electrophoresis chip, simplifying the design and operation of the device. The method was used for high resolution 2D chiral separations of a mixture of amino acids considered as possible signatures of extant or extinct life for solar system exploration. The enantiomers of aspartic acid, glutamic acid, serine, alanine, and valine were all resolved as well as glycine (achiral) and several unidentified impurities, giving an estimated peak capacity of 35 for the region between valine and glycine. The results highlight the need for high peak capacity separations for chiral amino acid analysis if accurate enantiomeric ratios are to be determined.     

Steady flow generation in microcirculatory systems

In this paper we explore the mechanical generation of steady-non pulsatile-flow in microfluidic systems. The rationale of the paper is inspired in the example of cardiovascular systems where at the microscale (i.e. capillaries) the flow is steady rather than pulsatile to optimize performance. We present a solution to the generation of steady flow in engineered microfluidic systems either in open or closed loop configurations via the use of disc pumps. The disc pump consists of a flat rotating disc and utilizes both viscous drag and centrifugal force to achieve pumping. Experiments using single loop and double loop microfluidic systems are presented to characterize the disc pump. Continuous flow generated by the disc pumps can be used to separate particles based on size using recirculating loops and for extraction of small particles without disturbing the concentration of bigger particles. The potential impact of this technology includes sample separation and extraction techniques into portable microfluidic labs-on-a-chip, and long term culture systems for cells in suspension.     

Capillary inserts in microcirculatory systems

Microfluidic loops (i.e. closed fluid paths) pose specific practical challenges such as priming, introducing analytes or reagents in a controlled way and sampling products. In this technical note we address these three issues using a removable part of the microchannel that we call a 'capillary insert'.     

An <Emphasis Type="Italic">M</Emphasis><Superscript>[<Emphasis Type="Italic">X</Emphasis>]</Superscript>/<Emphasis Type="Italic">G</Emphasis>/1 retrial queue with server breakdowns and constant rate of repeated attempts

We consider an M ^[X]/G/1 retrial queue subject to breakdowns where the retrial time is exponential and independent of the number of customers applying for service. If a coming batch of customers finds the server idle, one of the arriving customers begins his service immediately and the rest joins a retrial group (called orbit) to repeat his request later; otherwise, if the server is busy or down, all customers of the coming batch enter the orbit. It is assumed that the server has a constant failure rate and arbitrary repair time distribution. We study the ergodicity of the embedded Markov chain, its stationary distribution and the joint distribution of the server state and the orbit size in steady-state. The orbit and system size distributions are obtained as well as some performance measures of the system. The stochastic decomposition property and the asymptotic behavior under high rate of retrials are discussed. We also analyse some reliability problems, the k-busy period and the ordinary busy period of our retrial queue. Besides, we give a recursive scheme to compute the distribution of the number of served customers during the k-busy period and the ordinary busy period. The effects of several parameters on the system are analysed numerically. I. Atencia’s and Moreno’s research is supported by the MEC through the project MTM2005-01248.     

Using pattern homogenization of binary grayscale masks to fabricate microfluidic structures with 3D topography

Because fluids at the microscale form three dimensional interfaces and are subject to three dimensional forces, the ability to create microstructures with modulated topography over large areas could greatly improve control over microfluidic phenomena (e.g., capillarity and mass transport) and enable exciting novel microfluidic applications. Here, we report a method for the fabrication of three-dimensional relief microstructures, based on the emergence of smooth features when a photopolymer is exposed to UV light through a transparency mask with binary motifs. We show that homogeneous features emerge under certain critical conditions that are also common to other, apparently unrelated, phenomena such as the emergence of macroscopic continuum properties of composite materials and the rates of ligand binding to cell membrane receptors. This fabrication method is simple and inexpensive, and yet it allows for the fabrication of microstructures over large areas (centimetres) with topographic modulation of features with characteristic dimensions smaller than 100 micrometres.     

A discrete-time retrial queue with multiplicative repeated attempts

The repeated attempts have been always made individually by each unsatisfied customer in discrete-time retrial queues. However, the time between two consecutive repeated requests can be independent of the number of customers applying for service. This paper considers a new retrial discipline, that we call multiplicative, which extends both types of repeated attempts.     

A discrete-time queueing system with optional LCFS discipline

We consider a discrete-time queueing system in which the arriving customers decide with a certain probability to be served under a LCFS-PR discipline and with complementary probability to join the queue. The arrivals are assumed to be geometrical and the service times are arbitrarily distributed. The service times of the expelled customers are independent of their previous ones. We carry out an extensive analysis of the system developing recursive formulae and generating functions for the steady-state distribution of the number of customers in the system and obtaining also recursive formulae and generating functions for the stationary distribution of the busy period and sojourn time as well as some performance measures.