Observation of an Excited B±c Meson State with the ATLAS Detector

A search for excited states of the B ± c meson is performed using 4.9  fb −1 of 7 TeV and 19.2  fb −1 of 8 TeV pp collision data collected by the ATLAS experiment at the LHC. A new state is observed through its hadronic transition to the ground state, with the latter detected in the decay B ± c →J/ψπ ± . The state appears in the m(B ± c π + π − )−m(B ± c )−2m(π ± ) mass difference distribution with a significance of 5.2 standard deviations. The mass of the observed state is 6842±4±5  MeV , where the first error is statistical and the second is systematic. The mass and decay of this state are consistent with expectations for the second S -wave state of the B ± c meson, B ± c (2S) .

A CMOS Gas Sensor Array Platform With Fourier Transform Based Impedance Spectroscopy

A CMOS gas sensor array platform with digital read-out containing 27 sensor pixels and a reference pixel is presented. A signal conditioning circuit at each pixel includes digitally programmable gain stages for sensor signal amplification followed by a second order continuous time delta sigma modulator for digitization. Each sensor pixel can be functionalized with a distinct sensing material that facilitates transduction based on impedance change. Impedance spectrum (up to 10 KHz) of the sensor is obtained off-chip by computing the fast Fourier transform of sensor and reference pixel outputs. The reference pixel also compensates for the phase shift introduced by the signal processing circuits. The chip also contains a temperature sensor with digital readout for ambient temperature measurement. A sensor pixel is functionalized with polycarbazole conducting polymer for sensing volatile organic gases and measurement results are presented. The chip is fabricated in a 0.35 CMOS technology and requires a single step post processing for functionalization. It consumes 57 mW from a 3.3 V supply.

Test hardware del primo batch di schede rod per l'esperimento atlas ibl.

L’acceleratore di particelle LHC, al CERN di Ginevra, permette studi molto rilevanti nell'ambito della fisica subnucleare. L’importanza che ricopre in questo campo il rivelatore è grandissima ed è per questo che si utilizzano tecnologie d’avanguardia nella sua costruzione. É altresì fondamentale disporre di un sistema di acquisizione dati quanto più moderno ma sopratutto efficiente. Tale sistema infatti è necessario per gestire tutti i segnali elettrici che derivano dalla conversione dell’evento fisico, passaggio necessario per rendere misurabili e quantificabili le grandezze di interesse. In particolare in questa tesi viene seguito il lavoro di test delle schede ROD dell’esperimento ATLAS IBL, che mira a verificare la loro corretta funzionalità, prima che vengano spedite nei laboratori del CERN. Queste nuove schede gestiscono i segnali in arrivo dal Pixel Detector di ATLAS, per poi inviarli ai computer per la successiva elaborazione. Un sistema simile era già implementato e funzionante, ma il degrado dei chip ha causato una perdita di prestazioni, che ha reso necessario l’inserimento di un layer aggiuntivo. Il nuovo strato di rivelatori a pixel, denominato Insertable Barrel Layer (IBL), porta così un aggiornamento tecnologico e prestazionale all'interno del Pixel Detector di ATLAS, andando a ristabilire l’efficacia del sistema.

Test hardware del secondo batch di schede ROD per il layer 2 del pixel detector dell'esperimento ATLAS al CERN

In questa tesi viene seguito il lavoro di test delle schede ROD del layer 2 del Pixel Detector dell’ esperimento ATLAS, che mira a verificare la loro corretta funzionalità, prima che vengano spedite nei laboratori del CERN. Queste nuove schede gestiscono i segnali in arrivo dal Pixel Detector di ATLAS, per poi inviarli ai computer per la successiva elaborazione. Le schede ROD andranno a sostituire le precedenti schede SiROD nella catena di acquisizione dati dell’esperimento, procedendo dal nuovo strato IBL, e proseguendo con i tre layer del Pixel Detector, corroborando l’aggiornamento tecnologico e prestazionale necessario in vista dell’incremento di luminosità dell’esperimento.

Scheda di controllo JTAG per l'elettronica di readout del pixel detector dell'esperimento ATLAS

Il sistema di acquisizione dati del nuovo layer IBL di ATLAS conta attualmente 15 schede ROD attive sull’esperimento. In ognuna di queste schede sono presenti due catene JTAG per la programmazione e il test. La prima catena è facilmente accessibile da remoto tramite uno standard VME o Ethernet, mentre la seconda è accessibile solo tramite un programmatore JTAG. Accedere alla catena secondaria di tutte 15 le ROD è in primo luogo sconveniente poiché sarebbero necessari 15 programmatori diversi; in secondo luogo potrebbe risultare difficoltoso doverli gestire tutti da un unico computer. Nasce così l’esigenza di sviluppare un’elettronica aggiuntiva con funzione di controllo che riesca, tramite un unico programmatore, a distribuire un segnale JTAG in ingresso a 15 uscite selezionabili in maniera esclusiva. In questa tesi vengono illustrati i vari passaggi che hanno portato alla realizzazione del progetto ponendo attenzione alla scelta, al funzionamento e all’eventuale programmazione dei componenti elettronici che lo costituiscono. Per ogni parte è stato realizzato un ambiente hardware di prototipazione che ne ha garantito il test delle funzionalità. La scheda, basata su un microcontrollore ATmega 328-P, è attualmente in fase di completamento nel laboratorio di progettazione elettronica dell’INFN di Bologna. Il prototipo studiato e realizzato tramite il lavoro di questa tesi verrà anche utilizzato in ambiente CERN una volta che ne sarà convalidata l’affidabilità e potrà anche essere facilmente adattato a tutti gli esperimenti che usano un protocollo JTAG per la programmazione di dispositivi remoti.

Measurement of the forward-backward asymmetry of Z boson decays in electron-positron pairs with the ATLAS detector in proton-proton collisions at root out s = 7TeV at the LHC

In this thesis the measurement of the effective weak mixing angle wma in proton-proton collisions is described. The results are extracted from the forward-backward asymmetry (AFB) in electron-positron final states at the ATLAS experiment at the LHC. The AFB is defined upon the distribution of the polar angle between the incoming quark and outgoing lepton. The signal process used in this study is the reaction pp to zgamma + X to ee + X taking a total integrated luminosity of 4.8\,fb^(-1) of data into account. The data was recorded at a proton-proton center-of-mass energy of sqrt(s)=7TeV. The weak mixing angle is a central parameter of the electroweak theory of the Standard Model (SM) and relates the neutral current interactions of electromagnetism and weak force. The higher order corrections on wma are related to other SM parameters like the mass of the Higgs boson.rnrnBecause of the symmetric initial state constellation of colliding protons, there is no favoured forward or backward direction in the experimental setup. The reference axis used in the definition of the polar angle is therefore chosen with respect to the longitudinal boost of the electron-positron final state. This leads to events with low absolute rapidity have a higher chance of being assigned to the opposite direction of the reference axis. This effect called dilution is reduced when events at higher rapidities are used. It can be studied including electrons and positrons in the forward regions of the ATLAS calorimeters. Electrons and positrons are further referred to as electrons. To include the electrons from the forward region, the energy calibration for the forward calorimeters had to be redone. This calibration is performed by inter-calibrating the forward electron energy scale using pairs of a central and a forward electron and the previously derived central electron energy calibration. The uncertainty is shown to be dominated by the systematic variations.rnrnThe extraction of wma is performed using chi^2 tests, comparing the measured distribution of AFB in data to a set of template distributions with varied values of wma. The templates are built in a forward folding technique using modified generator level samples and the official fully simulated signal sample with full detector simulation and particle reconstruction and identification. The analysis is performed in two different channels: pairs of central electrons or one central and one forward electron. The results of the two channels are in good agreement and are the first measurements of wma at the Z resonance using electron final states at proton-proton collisions at sqrt(s)=7TeV. The precision of the measurement is already systematically limited mostly by the uncertainties resulting from the knowledge of the parton distribution functions (PDF) and the systematic uncertainties of the energy calibration.rnrnThe extracted results of wma are combined and yield a value of wma_comb = 0.2288 +- 0.0004 (stat.) +- 0.0009 (syst.) = 0.2288 +- 0.0010 (tot.). The measurements are compared to the results of previous measurements at the Z boson resonance. The deviation with respect to the combined result provided by the LEP and SLC experiments is up to 2.7 standard deviations.

Firmware development and testing for L1/L2 IBL upgrade

Il lavoro di questa tesi riguarda principalmente l'upgrade, la simulazione e il test di schede VME chiamate ReadOut Driver (ROD), che sono parte della catena di elaborazione ed acquisizione dati di IBL (Insertable B-Layer). IBL è il nuovo componente del Pixel Detector dell'esperimento ATLAS al Cern che è stato inserito nel detector durante lo shut down di LHC; fino al 2012 infatti il Pixel Detector era costituito da tre layer, chiamati (partendo dal più interno): Barrel Layer 0, Layer 1 e Layer 2. Tuttavia, l'aumento di luminosità di LHC, l'invecchiamento dei pixel e la richiesta di avere misure sempre più precise, portarono alla necessità di migliorare il rivelatore. Così, a partire dall'inizio del 2013, IBL (che fino a quel momento era stato un progetto sviluppato e finanziato separatamente dal Pixel Detector) è diventato parte del Pixel Detector di ATLAS ed è stato installato tra la beam-pipe e il layer B0. Questa tesi fornirà innanzitutto una panoramica generale dell'esperimento ATLAS al CERN, includendo aspetti sia fisici sia tecnici, poi tratterà in dettaglio le varie parti del rivelatore, con particolare attenzione su Insertable B-Layer. Su quest'ultimo punto la tesi si focalizzerà sui motivi che ne hanno portato alla costruzione, sugli aspetti di design, sulle tecnologie utilizzate (volte a rendere nel miglior modo possibile compatibili IBL e il resto del Pixel Detector) e sulle scelte di sviluppo e fabbricazione. La tesi tratterà poi la catena di read-out dei dati, descrivendo le tecniche di interfacciamento con i chip di front-end, ed in particolare si concentrerà sul lavoro svolto per l'upgrade e lo sviluppo delle schede ReadOut Drivers (ROD) introducendo le migliorie da me apportate, volte a eliminare eventuali difetti, migliorare le prestazioni ed a predisporre il sistema ad una analisi prestazionale del rivelatore. Allo stato attuale le schede sono state prodotte e montate e sono già parte del sistema di acquisizione dati del Pixel Detector di ATLAS, ma il firmware è in continuo aggiornamento. Il mio lavoro si è principalmente focalizzato sul debugging e il miglioramento delle schede ROD; in particolare ho aggiunto due features: - programmazione parallela delle FPGA} delle ROD via VME. IBL richiede l'utilizzo di 15 schede ROD e programmandole tutte insieme (invece che una alla volta) porta ad un sensibile guadagno nei tempi di programmazione. Questo è utile soprattutto in fase di test; - reset del Phase-Locked Loop (PLL)} tramite VME. Il PLL è un chip presente nelle ROD che distribuisce il clock a tutte le componenti della scheda. Avere la possibilità di resettare questo chip da remoto permette di risolvere problemi di sincronizzazione. Le ReadOut Driver saranno inoltre utilizzate da più layer del Pixel Detector. Infatti oltre ad IBL anche i dati provenienti dai layer 1 e 2 dei sensori a pixel dell’esperimento ATLAS verranno acquisiti sfruttando la catena hardware progettata, realizzata e testata a Bologna.

Detectores monolíticos y sensores compatibles con altos campos magnéticos para tomografía por emisión de positrones

Esta tesis recoje un trabajo experimental centrado en profundizar sobre el conocimiento de los bloques detectores monolíticos como alternativa a los detectores segmentados para tomografía por emisión de positrones (Positron Emission Tomography, PET). El trabajo llevado a cabo incluye el desarrollo, la caracterización, la puesta a punto y la evaluación de prototipos demostradores PET utilizando bloques monolíticos de ortosilicato de lutecio ytrio dopado con cerio (Cerium-Doped Lutetium Yttrium Orthosilicate, LYSO:Ce) usando sensores compatibles con altos campos magnéticos, tanto fotodiodos de avalancha (Avalanche Photodiodes, APDs) como fotomultiplicadores de silicio (Silicon Photomultipliers, SiPMs). Los prototipos implementados con APDs se construyeron para estudiar la viabilidad de un prototipo PET de alta sensibilidad previamente simulado, denominado BrainPET. En esta memoria se describe y caracteriza la electrónica frontal integrada utilizada en estos prototipos junto con la electrónica de lectura desarrollada específicamente para los mismos. Se muestran los montajes experimentales para la obtención de las imágenes tomográficas PET y para el entrenamiento de los algoritmos de red neuronal utilizados para la estimación de las posiciones de incidencia de los fotones γ sobre la superficie de los bloques monolíticos. Con el prototipo BrainPET se obtuvieron resultados satisfactorios de resolución energética (13 % FWHM), precisión espacial de los bloques monolíticos (~ 2 mm FWHM) y resolución espacial de la imagen PET de 1,5 - 1,7 mm FWHM. Además se demostró una capacidad resolutiva en la imagen PET de ~ 2 mm al adquirir simultáneamente imágenes de fuentes radiactivas separadas a distancias conocidas. Sin embargo, con este prototipo se detectaron también dos limitaciones importantes. En primer lugar, se constató una falta de flexibilidad a la hora de trabajar con un circuito integrado de aplicación específica (Application Specific Integrated Circuit, ASIC) cuyo diseño electrónico no era propio sino comercial, unido al elevado coste que requieren las modificaciones del diseño de un ASIC con tales características. Por otra parte, la caracterización final de la electrónica integrada del BrainPET mostró una resolución temporal con amplio margen de mejora (~ 13 ns FWHM). Tomando en cuenta estas limitaciones obtenidas con los prototipos BrainPET, junto con la evolución tecnológica hacia matrices de SiPM, el conocimiento adquirido con los bloques monolíticos se trasladó a la nueva tecnología de sensores disponible, los SiPMs. A su vez se inició una nueva estrategia para la electrónica frontal, con el ASIC FlexToT, un ASIC de diseño propio basado en un esquema de medida del tiempo sobre umbral (Time over Threshold, ToT), en donde la duración del pulso de salida es proporcional a la energía depositada. Una de las características más interesantes de este esquema es la posibilidad de manejar directamente señales de pulsos digitales, en lugar de procesar la amplitud de las señales analógicas. Con esta arquitectura electrónica se sustituyen los conversores analógicos digitales (Analog to Digital Converter, ADCs) por conversores de tiempo digitales (Time to Digital Converter, TDCs), pudiendo implementar éstos de forma sencilla en matrices de puertas programmable ‘in situ’ (Field Programmable Gate Array, FPGA), reduciendo con ello el consumo y la complejidad del diseño. Se construyó un nuevo prototipo demostrador FlexToT para validar dicho ASIC para bloques monolíticos o segmentados. Se ha llevado a cabo el diseño y caracterización de la electrónica frontal necesaria para la lectura del ASIC FlexToT, evaluando su linealidad y rango dinámico, el comportamiento frente a ruido así como la no linealidad diferencial obtenida con los TDCs implementados en la FPGA. Además, la electrónica presentada en este trabajo es capaz de trabajar con altas tasas de actividad y de discriminar diferentes centelleadores para aplicaciones phoswich. El ASIC FlexToT proporciona una excelente resolución temporal en coincidencia para los eventos correspondientes con el fotopico de 511 keV (128 ps FWHM), solventando las limitaciones de resolución temporal del prototipo BrainPET. Por otra parte, la resolución energética con bloques monolíticos leidos por ASICs FlexToT proporciona una resolución energética de 15,4 % FWHM a 511 keV. Finalmente, se obtuvieron buenos resultados en la calidad de la imagen PET y en la capacidad resolutiva del demostrador FlexToT, proporcionando resoluciones espaciales en el centro del FoV en torno a 1,4 mm FWHM. ABSTRACT This thesis is focused on the development of experimental activities used to deepen the knowledge of monolithic detector blocks as an alternative to segmented detectors for Positron Emission Tomography (PET). It includes the development, characterization, setting up, running and evaluation of PET demonstrator prototypes with monolithic detector blocks of Cerium-doped Lutetium Yttrium Orthosilicate (LYSO:Ce) using magnetically compatible sensors such as Avalanche Photodiodes (APDs) and Silicon Photomultipliers (SiPMs). The prototypes implemented with APDs were constructed to validate the viability of a high-sensitivity PET prototype that had previously been simulated, denominated BrainPET. This work describes and characterizes the integrated front-end electronics used in these prototypes, as well as the electronic readout system developed especially for them. It shows the experimental set-ups to obtain the tomographic PET images and to train neural networks algorithms used for position estimation of photons impinging on the surface of monolithic blocks. Using the BrainPET prototype, satisfactory energy resolution (13 % FWHM), spatial precision of monolithic blocks (~ 2 mm FWHM) and spatial resolution of the PET image (1.5 – 1.7 mm FWHM) in the center of the Field of View (FoV) were obtained. Moreover, we proved the imaging capabilities of this demonstrator with extended sources, considering the acquisition of two simultaneous sources of 1 mm diameter placed at known distances. However, some important limitations were also detected with the BrainPET prototype. In the first place, it was confirmed that there was a lack of flexibility working with an Application Specific Integrated Circuit (ASIC) whose electronic design was not own but commercial, along with the high cost required to modify an ASIC design with such features. Furthermore, the final characterization of the BrainPET ASIC showed a timing resolution with room for improvement (~ 13 ns FWHM). Taking into consideration the limitations obtained with the BrainPET prototype, along with the technological evolution in magnetically compatible devices, the knowledge acquired with the monolithic blocks were transferred to the new technology available, the SiPMs. Moreover, we opted for a new strategy in the front-end electronics, the FlexToT ASIC, an own design ASIC based on a Time over Threshold (ToT) scheme. One of the most interesting features underlying a ToT architecture is the encoding of the analog input signal amplitude information into the duration of the output signals, delivering directly digital pulses. The electronic architecture helps substitute the Analog to Digital Converters (ADCs) for Time to Digital Converters (TDCs), and they are easily implemented in Field Programmable Gate Arrays (FPGA), reducing the consumption and the complexity of the design. A new prototype demonstrator based on SiPMs was implemented to validate the FlexToT ASIC for monolithic or segmented blocks. The design and characterization of the necessary front-end electronic to read-out the signals from the ASIC was carried out by evaluating its linearity and dynamic range, its performance with an external noise signal, as well as the differential nonlinearity obtained with the TDCs implemented in the FPGA. Furthermore, the electronic presented in this work is capable of working at high count rates and discriminates different phoswich scintillators. The FlexToT ASIC provides an excellent coincidence time resolution for events that correspond to 511 keV photopeak (128 ps FWHM), resolving the limitations of the poor timing resolution of the BrainPET prototype. Furthermore, the energy resolution with monolithic blocks read by FlexToT ASICs provides an energy resolution of 15.4 % FWHM at 511 keV. Finally, good results were obtained in the quality of the PET image and the resolving power of the FlexToT demonstrator, providing spatial resolutions in the centre of the FoV at about 1.4 mm FWHM.

Dynamics of pattern writing and erasure in photorefractive lithium niobate for data storage applications

The present rate of technological advance continues to place significant demands on data storage devices. The sheer amount of digital data being generated each year along with consumer expectations, fuels these demands. At present, most digital data is stored magnetically, in the form of hard disk drives or on magnetic tape. The increase in areal density (AD) of magnetic hard disk drives over the past 50 years has been of the order of 100 million times, and current devices are storing data at ADs of the order of hundreds of gigabits per square inch. However, it has been known for some time that the progress in this form of data storage is approaching fundamental limits. The main limitation relates to the lower size limit that an individual bit can have for stable storage. Various techniques for overcoming these fundamental limits are currently the focus of considerable research effort. Most attempt to improve current data storage methods, or modify these slightly for higher density storage. Alternatively, three dimensional optical data storage is a promising field for the information storage needs of the future, offering very high density, high speed memory. There are two ways in which data may be recorded in a three dimensional optical medium; either bit-by-bit (similar in principle to an optical disc medium such as CD or DVD) or by using pages of bit data. Bit-by-bit techniques for three dimensional storage offer high density but are inherently slow due to the serial nature of data access. Page-based techniques, where a two-dimensional page of data bits is written in one write operation, can offer significantly higher data rates, due to their parallel nature. Holographic Data Storage (HDS) is one such page-oriented optical memory technique. This field of research has been active for several decades, but with few commercial products presently available. Another page-oriented optical memory technique involves recording pages of data as phase masks in a photorefractive medium. A photorefractive material is one by which the refractive index can be modified by light of the appropriate wavelength and intensity, and this property can be used to store information in these materials. In phase mask storage, two dimensional pages of data are recorded into a photorefractive crystal, as refractive index changes in the medium. A low-intensity readout beam propagating through the medium will have its intensity profile modified by these refractive index changes and a CCD camera can be used to monitor the readout beam, and thus read the stored data. The main aim of this research was to investigate data storage using phase masks in the photorefractive crystal, lithium niobate (LiNbO3). Firstly the experimental methods for storing the two dimensional pages of data (a set of vertical stripes of varying lengths) in the medium are presented. The laser beam used for writing, whose intensity profile is modified by an amplitudemask which contains a pattern of the information to be stored, illuminates the lithium niobate crystal and the photorefractive effect causes the patterns to be stored as refractive index changes in the medium. These patterns are read out non-destructively using a low intensity probe beam and a CCD camera. A common complication of information storage in photorefractive crystals is the issue of destructive readout. This is a problem particularly for holographic data storage, where the readout beam should be at the same wavelength as the beam used for writing. Since the charge carriers in the medium are still sensitive to the read light field, the readout beam erases the stored information. A method to avoid this is by using thermal fixing. Here the photorefractive medium is heated to temperatures above 150�C; this process forms an ionic grating in the medium. This ionic grating is insensitive to the readout beam and therefore the information is not erased during readout. A non-contact method for determining temperature change in a lithium niobate crystal is presented in this thesis. The temperature-dependent birefringent properties of the medium cause intensity oscillations to be observed for a beam propagating through the medium during a change in temperature. It is shown that each oscillation corresponds to a particular temperature change, and by counting the number of oscillations observed, the temperature change of the medium can be deduced. The presented technique for measuring temperature change could easily be applied to a situation where thermal fixing of data in a photorefractive medium is required. Furthermore, by using an expanded beam and monitoring the intensity oscillations over a wide region, it is shown that the temperature in various locations of the crystal can be monitored simultaneously. This technique could be used to deduce temperature gradients in the medium. It is shown that the three dimensional nature of the recording medium causes interesting degradation effects to occur when the patterns are written for a longer-than-optimal time. This degradation results in the splitting of the vertical stripes in the data pattern, and for long writing exposure times this process can result in the complete deterioration of the information in the medium. It is shown in that simply by using incoherent illumination, the original pattern can be recovered from the degraded state. The reason for the recovery is that the refractive index changes causing the degradation are of a smaller magnitude since they are induced by the write field components scattered from the written structures. During incoherent erasure, the lower magnitude refractive index changes are neutralised first, allowing the original pattern to be recovered. The degradation process is shown to be reversed during the recovery process, and a simple relationship is found relating the time at which particular features appear during degradation and recovery. A further outcome of this work is that the minimum stripe width of 30 ìm is required for accurate storage and recovery of the information in the medium, any size smaller than this results in incomplete recovery. The degradation and recovery process could be applied to an application in image scrambling or cryptography for optical information storage. A two dimensional numerical model based on the finite-difference beam propagation method (FD-BPM) is presented and used to gain insight into the pattern storage process. The model shows that the degradation of the patterns is due to the complicated path taken by the write beam as it propagates through the crystal, and in particular the scattering of this beam from the induced refractive index structures in the medium. The model indicates that the highest quality pattern storage would be achieved with a thin 0.5 mm medium; however this type of medium would also remove the degradation property of the patterns and the subsequent recovery process. To overcome the simplistic treatment of the refractive index change in the FD-BPM model, a fully three dimensional photorefractive model developed by Devaux is presented. This model shows significant insight into the pattern storage, particularly for the degradation and recovery process, and confirms the theory that the recovery of the degraded patterns is possible since the refractive index changes responsible for the degradation are of a smaller magnitude. Finally, detailed analysis of the pattern formation and degradation dynamics for periodic patterns of various periodicities is presented. It is shown that stripe widths in the write beam of greater than 150 ìm result in the formation of different types of refractive index changes, compared with the stripes of smaller widths. As a result, it is shown that the pattern storage method discussed in this thesis has an upper feature size limit of 150 ìm, for accurate and reliable pattern storage.

Pricing a Shared Access Link for Fair and Efficient Operation with Variable User Data Rates

The literature on pricing implicitly assumes an "infinite data" model, in which sources can sustain any data rate indefinitely. We assume a more realistic "finite data" model, in which sources occasionally run out of data; this leads to variable user data rates. Further, we assume that users have contracts with the service provider, specifying the rates at which they can inject traffic into the network. Our objective is to study how prices can be set such that a single link can be shared efficiently and fairly among users in a dynamically changing scenario where a subset of users occasionally has little data to send. User preferences are modelled by concave increasing utility functions. Further, we introduce two additional elements: a convex increasing disutility function and a convex increasing multiplicative congestion-penally function. The disutility function takes the shortfall (contracted rate minus present rate) as its argument, and essentially encourages users to send traffic at their contracted rates, while the congestion-penalty function discourages heavy users from sending excess data when the link is congested. We obtain simple necessary and sufficient conditions on prices for fair and efficient link sharing; moreover, we show that a single price for all users achieves this. We illustrate the ideas using a simple experiment.

A Multiwavelength Study of the Intracluster Medium and the Characterization of the Multiwavelength Sub/millimeter Inductance Camera

The first part of this thesis combines Bolocam observations of the thermal Sunyaev-Zel’dovich (SZ) effect at 140 GHz with X-ray observations from Chandra, strong lensing data from the Hubble Space Telescope (HST), and weak lensing data from HST and Subaru to constrain parametric models for the distribution of dark and baryonic matter in a sample of six massive, dynamically relaxed galaxy clusters. For five of the six clusters, the full multiwavelength dataset is well described by a relatively simple model that assumes spherical symmetry, hydrostatic equilibrium, and entirely thermal pressure support. The multiwavelength analysis yields considerably better constraints on the total mass and concentration compared to analysis of any one dataset individually. The subsample of five galaxy clusters is used to place an upper limit on the fraction of pressure support in the intracluster medium (ICM) due to nonthermal processes, such as turbulent and bulk flow of the gas. We constrain the nonthermal pressure fraction at r500c to be less than 0.11 at 95% confidence, where r500c refers to radius at which the average enclosed density is 500 times the critical density of the Universe. This is in tension with state-of-the-art hydrodynamical simulations, which predict a nonthermal pressure fraction of approximately 0.25 at r500c for the clusters in this sample.

The second part of this thesis focuses on the characterization of the Multiwavelength Sub/millimeter Inductance Camera (MUSIC), a photometric imaging camera that was commissioned at the Caltech Submillimeter Observatory (CSO) in 2012. MUSIC is designed to have a 14 arcminute, diffraction-limited field of view populated with 576 spatial pixels that are simultaneously sensitive to four bands at 150, 220, 290, and 350 GHz. It is well-suited for studies of dusty star forming galaxies, galaxy clusters via the SZ Effect, and galactic star formation. MUSIC employs a number of novel detector technologies: broadband phased-arrays of slot dipole antennas for beam formation, on-chip lumped element filters for band definition, and Microwave Kinetic Inductance Detectors (MKIDs) for transduction of incoming light to electric signal. MKIDs are superconducting micro-resonators coupled to a feedline. Incoming light breaks apart Cooper pairs in the superconductor, causing a change in the quality factor and frequency of the resonator. This is read out as amplitude and phase modulation of a microwave probe signal centered on the resonant frequency. By tuning each resonator to a slightly different frequency and sending out a superposition of probe signals, hundreds of detectors can be read out on a single feedline. This natural capability for large scale, frequency domain multiplexing combined with relatively simple fabrication makes MKIDs a promising low temperature detector for future kilopixel sub/millimeter instruments. There is also considerable interest in using MKIDs for optical through near-infrared spectrophotometry due to their fast microsecond response time and modest energy resolution. In order to optimize the MKID design to obtain suitable performance for any particular application, it is critical to have a well-understood physical model for the detectors and the sources of noise to which they are susceptible. MUSIC has collected many hours of on-sky data with over 1000 MKIDs. This work studies the performance of the detectors in the context of one such physical model. Chapter 2 describes the theoretical model for the responsivity and noise of MKIDs. Chapter 3 outlines the set of measurements used to calibrate this model for the MUSIC detectors. Chapter 4 presents the resulting estimates of the spectral response, optical efficiency, and on-sky loading. The measured detector response to Uranus is compared to the calibrated model prediction in order to determine how well the model describes the propagation of signal through the full instrument. Chapter 5 examines the noise present in the detector timestreams during recent science observations. Noise due to fluctuations in atmospheric emission dominate at long timescales (less than 0.5 Hz). Fluctuations in the amplitude and phase of the microwave probe signal due to the readout electronics contribute significant 1/f and drift-type noise at shorter timescales. The atmospheric noise is removed by creating a template for the fluctuations in atmospheric emission from weighted averages of the detector timestreams. The electronics noise is removed by using probe signals centered off-resonance to construct templates for the amplitude and phase fluctuations. The algorithms that perform the atmospheric and electronic noise removal are described. After removal, we find good agreement between the observed residual noise and our expectation for intrinsic detector noise over a significant fraction of the signal bandwidth.

FPGA在偏振耦合测试仪中的应用

在偏振耦合测试仪的PCI接口数据采集系统中,现场可编程门阵列(FieldProgramableGateArray)实现了对模/数器件的控制功能,同时完成了与PCI总线控制器间的数据接口功能。应用自顶向下的设计思想,完成了FPGA内部的逻辑设计,并对其逻辑功能进行了仿真验证,给出了FPGA数据采集时的测试时序图。应用FPGA实现的数据采集系统可以检测出偏振耦合检测仪中的微弱干涉光信号。