Andrés Márquez

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We apply He's homotopy perturbation method to find improved approximate solutions to conservative truly nonlinear oscillators. This approach gives us not only a truly periodic solution but also the period of the motion as a function of the amplitude of oscillation. We find that this method works very well for the whole range of parameters in the case of the(More)
As data centers proliferate in size and number, the endeavor to improve their energy efficiency and productivity is becoming increasingly important. We discuss the properties of a number of the proposed metrics of energy efficiency and productivity. In particular, we focus on the Data Center Energy Productivity (DCeP) metric, which is the ratio of useful(More)
There is no doubt that the concept of volume holography has led to an incredibly great amount of scientific research and technological applications. One of these applications is the use of volume holograms as optical memories, and in particular, the use of a photosensitive medium like a photopolymeric material to record information in all its volume. In(More)
We present a new, integrated approach to parallel performance analysis that integrates traditional application-oriented performance data with measurements of the physical runtime environment. We have developed the needed infrastructure for combined evaluation of system, application, and machine room performance in the high end environment. We illustrate the(More)
Parallel aligned liquid crystal on silicon (PA-LCoS) devices are widely used in many optics and photonics applications to control the amplitude, phase and/or state of polarization (SOP) of light beams. We present a novel model enabling to calculate the voltage dependent retardance provided by PA-LCoS devices for a very wide range of incidence angles and any(More)
The holographic storage of information is based on the interference of two waves: the reference wave and the object wave, the latter is generated by using a spatial light modulator, and in the case of applications of data storage this corresponds to a binary pattern of one and zeros. The interference pattern is recorded in a photosensitive medium(More)
Phase diffractive optical elements, which have many interesting applications, are usually fabricated using a photoresist. In this paper, they were made using a hybrid optic-digital system and a photopolymer as recording medium. We analyzed the characteristics of the input and recording light and then simulated the generation of blazed gratings with(More)
A polarimetric method for the measurement of linear retardance in the presence of phase fluctuations is presented. This can be applied to electro-optic devices behaving as variable linear retarders. The method is based on an extended Mueller matrix model for the linear retarder containing the time-averaged effects of the instabilities. As a result, an(More)
In this work a unified treatment of solid and fluid vibration problems is developed by means of the Finite-Difference Time-Domain (FDTD). The scheme here proposed takes advantage from a scaling factor in the velocity fields that improves the performance of the method and the vibration analysis in heterogenous media. Moreover, the scheme has been extended in(More)