Orbital geometry determined by orthogonal high-order harmonic polarization components
Monday, 23 August 2010 17:02
Eliot Hijano Cubelos
Orbital geometry determined by orthogonal high-order harmonic polarization components
We study the polarization state of high-order harmonics produced by linearly polarized light interacting with two-center molecules. In the Videos Below, it is possible to see how the wave function of the electron interacts with a LASER pulse for several excited states. By generating high-harmonic “polarization maps” from Radon transformations of excited electronic wave functions, we show that the polarization of the harmonic radiation can be linked to the geometry of the molecular orbital. While in the Radon transformation the plane-wave approximation for the rescattered electron is implicitly assumed, numerical solutions of the two-dimensional time-dependent Schrödinger equation, in which this approximation is not made, confirm the validity of this topological connection. We also find that measuring two orthogonal amplitude components of the harmonics provides a method for quantum tomography that substantially improves the quality of reconstructed molecular states.
Last Updated ( Monday, 23 August 2010 17:36 )
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Simulated Annealing & Genetic Algorithm - The Travelling Salesman Problem
Thursday, 16 July 2009 00:00
Oliver Hijano Cubelos
Simulated Annealing & genetic Algorithm - The Travelling Salesman Problem This Java applications shows how to solve the travelling salesman problem using either annealing simulated or genetic algorithms. Given some nodes, the starting position and the goal position, both techniques offer a solution which describes how to reach the goal position from the initial position crossing all the nodes in the grid-map.
Last Updated ( Monday, 23 August 2010 17:22 )
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Interferometers Simulator
Saturday, 27 June 2009 00:00
Oliver Hijano Cubelos
Interferometers Simulator
This is a Java application which simulates the figure we can see in the screen when we use an interferometer (or a simiral system). In this application you can study the Michelson interferometer, the Young experiment, the Lloyd mirror, the Fresnel prism, the Pohl experiment, the Rayleigh interferometer and the Fabry-Peort system. When you start up the application, you can choose which system you want to study and change several parameters such as the wavelength of the laser. Moreover, you can see the schematic drawing of the system and the illumination on the screen produced by the interferences. This is useful when you want to check data taken from the laboratory. We have done several experiments and the data obtained are almost the same taken from the application.
Last Updated ( Sunday, 28 June 2009 09:30 )
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Landau Levels
Monday, 18 May 2009 18:41
Eliot Hijano Cubelos
Landau Levels
Landau quantization in quantum mechanics is the quantization of the cyclotron orbits of charged particles in magnetic fields. As a result, the charged particles can only occupy orbits with discrete energy values, called Landau levels. The Landau levels are degenerate, with the number of electrons per level directly proportional to the strength of the applied magnetic field. Landau quantization is directly responsible for oscillations in electronic properties of materials as a function of the applied magnetic field. In the case we are going to study, the electron is in a stationary magnetic field in the direction of Z axis.
Last Updated ( Monday, 18 May 2009 18:45 )
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Espejismos (Mirages)
Monday, 18 May 2009 12:52
Eliot Hijano Cubelos
Espejismos
Con A veces, cuando hace calor, sobre el asfalto de la carretera observamos zonas que parecen mojadas. Cuando nos acercamos a ellas, desaparecen. Este fenómeno es el que se conoce como espejismos inferiores cuando nos encontramos en el desierto. En otras ocasiones, cuando no hace tanto calor, sobre la superficie del mar observamos barcos cuyas imágenes están invertidas. Cuando nos acercamos a ellos, desaparecen. Este fenómeno es el que se conoce como espejismos superiores cuando nos encontramos en el mar. Aplicando las leyes de la reflexión y refracción de la luz, se pretende explicar por qué se producen estos fenómenos ópticos. En el siguiente PDF se puede encontrar tanto una solución numérica a cada problema, y una solución analítica exacta:
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Conducción Térmica
Monday, 18 May 2009 11:40
Eliot Hijano Cubelos
Conducción térmica
Con este artículo se pretende resolver el problema unidimensional y temporal de la conducción térmica, mediante los métodos de nanálisis numérico aplicado para ecuaciones diferenciales en derivadas parciales. En concreto, estudiaremos la resolución de una ecuación en derivadas parciales de tipo parabólico utilizando el método explícito. Dicho método utiliza derivadas hacia alante para el tiempo, y derivadas segundas centradas para la coordenada espacial. Todos los cálculos, detalles, y explicaciones sobre los programas adjuntos se encuentran en el siguiente PDF. Para descargar el programa en java, pulsar aqui.
Last Updated ( Monday, 18 May 2009 11:50 )
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Perihelium Shift Simulator
Sunday, 12 April 2009 17:40
Eliot Hijano Cubelos
Perihelium Shift Simulator
This JAVA application simulates the motion of a planet under a potential that reads:
The factor Is added to the typical central gravity motion that reads In order to simulate the motion of a planet around the Sun, according to Einsteins theory of gravitation. It is really difficult to solve the EDP that this new potential implies so the program uses a numerical method called the 'Runge Kutta Method 4th order', that is explained below.
Last Updated ( Monday, 18 May 2009 12:07 )
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Michelson Interferometer Simulator
Sunday, 12 April 2009 16:23
Eliot Hijano Cubelos
Michelson Interferometer Simulator
This application has been developed using JAVA and it is useful to understand the image that can be seen in the screen of the stated interferometer. Both the interference pattern and the path of light can be studied, and the majority of the variables such as the light wavelength or the distance from each arm to the central silvered mirror can be changed. This program was used to confirm the results taken during an experiment in a laboratory, in order to calculate the wavelenght of the light that comes out from the coherent laser emitter.The papers of the experiment have been written in spanish and you can find them in the following pdf.
Last Updated ( Monday, 18 May 2009 11:32 )
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