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LAMBDAAndrus, Ryan Charles 17 September 2013 (has links)
LAMBDA was an exploration of science and art in two components: a performance-lecture and an art installation. This project asserted that performance and art are effective methods of delivering scientific information to a general audience.
The first component was a solo performance-lecture that used lights, projection, costumes, props, and sound in a hybrid classroom space. The performance-lecture covered the topics of light, the Aurora Borealis, gravitational lensing, and the cosmic microwave background. The art installation used light emitting objects to visually represent the gravitational disturbances that exist within a section of space-time. / text
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Measuring angular diameter distances in the universe by Baryon Acoustic Oscillation and strong gravitational lensingJee, Inh 2013 August 1900 (has links)
We discuss two ways of measuring angular diameter distances in the Universe: (i) Baryon Acoustic Oscillation (BAO) , and (ii) strong gravitational lensing. For (i), we study the effects of survey geometry and selection functions on the 2-point correlation function of Lyman- alpha emitters in 1.9 < z < 3.5 for Hobby-Eberly Telescope Dark Energy Experiment (HETDEX). We develop a method to extract the BAO scale (hence a volume-averaged angular diameter distance D_V, which is a combination of the angular diameter distance and the Hubble expansion rate, i.e., [cz〖(1+z)〗^2 〖D_A〗^2 H^(-1) ]^(1/3)) from a spherically averaged 1-d correlation function. We quantify the statistical errors on such measurements. By using log-normal realizations of the HETDEX dataset, we show that we can determine DV from HETDEX at 2% accuracy using the 2-point correlation function. This study is complementary to the on-going effort to characterize the power spectrum using HETDEX. For (ii), a previous study (Para ficz and Hjorth 2009) looked at the case of a spherical lens following a singular isothermal distribution of matter and an isotropic velocity distribution, and found that combining measurements of the Einstein ring radius with the time delay of a strong lens system directly leads to a measurement of the angular diameter distance, D_A. Since this is a very new method, it requires more careful investigations of various real-world eff ects such as a realistic matter density pro file, an anisotropic velocity distribution, and external convergence. In more realistic lens confi gurations we find that the velocity dispersion is the dominant source of the uncertainty ; in order for this method to achieve competitive precision on measurements of DA, we need to constrain the velocity dispersion, down to the percent level. On the other hand, external convergence and velocity dispersion anisotropy have negligible e ect on our result. However, we also claim that the dominant source of the uncertainty depends largely on the image con figuration of the system, which leads us to the conclusion that studying the angular dependence of the lens mass distribution is a necessary component. / text
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The bright future of dark matter and dark energy searchesVan Waerbeke, Ludovic 11 April 2008 (has links)
Dark matter and dark energy clearly emerged from recent cosmological surveys as key ingredients of the Universe. Understanding their physical nature might be a way to unlock some of the mysteries in particle physics and General Relativity.
In this talk I will discuss how gravitational lensing will have a unique contribution in this endeavor. I will also discuss how
future weak lensing surveys, primarily designed to study dark matter and dark energy, will enable the detailed analysis of the physical processes underlying structure formation such as galaxies and clusters of galaxies.
Presented on April 10, 2008.
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Measuring the Environmental Dependence of Galaxy Haloes with Weak LensingGillis, Bryan January 2013 (has links)
We investigate the uses of gravitational lensing for analysing the dark matter haloes around galaxies, comparing galaxies within groups and clusters to those in the field. We consider two cases: when only photometric redshift data is available, and when spectroscopic redshift data is available for a sufficiently large sample of galaxies.
For the case of data with photometric redshifts, we analyse the CFHTLenS dataset. This dataset is derived from the CFHTLS-Wide survey, and encompasses 154 deg^2 of high-quality shape data. Using the photometric redshifts to estimate local density, we divide the sample of lens galaxies with stellar masses in the range 10^9 Msun to 10^10.5 Msun into those likely to lie in high-density environments (HDE) and those likely to lie in low-density environments (LDE). Through comparison with galaxy catalogues extracted from the Millennium Simulation, we show that the sample of HDE galaxies should primarily (~61%) consist of satellite galaxies in groups, while the sample of LDE galaxies should consist of mostly (~87%) non-satellite (field and central) galaxies. Comparing the lensing signals around samples of HDE and LDE galaxies matched in stellar mass, we show that the subhaloes of HDE galaxies are less massive than those around LDE galaxies by a factor 0.65+/-0.12, significant at the 2.9 sigma level. A natural explanation is that the haloes of satellite galaxies are stripped through tidal effects in the group environment. Our results are consistent with a typical tidal truncation radius of ~40 kpc.
For the case of data with spectroscopic redshifts, we analyse the GAMA-I and the ongoing GAMA-II surveys. We demonstrate the possibility of detecting tidal stripping of dark matter subhaloes within galaxy groups using weak gravitational lensing. We have run ray-tracing simulations on galaxy catalogues from the Millennium Simulation to generate mock shape catalogues. The ray-tracing catalogues assume a halo model for galaxies and groups, using various models with different distributions of mass between galaxy and group haloes to simulate different stages of group evolution. Using these mock catalogues, we forecast the lensing signals that will be detected around galaxy groups and satellite galaxies, as well as test two different methods for isolating the satellites' lensing signals. A key challenge is to determine the accuracy to which group centres can be identified. We show that with current and ongoing surveys, it will possible to detect stripping in groups of mass 10^12 Msun to 10^15 Msun.
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Applications of strong gravitational lensing: utilizing nature’s telescope for the study of intermediate to high redshift galaxiesBandara, H. M. Kaushala T. 12 December 2012 (has links)
This dissertation presents a detailed analysis of the galaxy-scale strong gravitational lenses discovered by the Sloan Lens ACS (SLACS) survey, with the aim of providing new insight into the processes that affect the evolution of galaxies at intermediate and high redshift. First, we present evidence for a relationship between the supermassive black hole mass and the total gravitational mass of the host galaxy, by utilizing the fact that gravitational lensing allows us to accurately measure the inner mass density profile of early-type lens galaxies and their total masses within an aperture. These results confirm that the properties of the bulge component of early-type galaxies and the resulting supermassive black hole are fundamentally regulated by the properties of the dark matter halo. We then utilize the lensing magnification for a detailed study of the photometric properties (luminosity, size and shape) of SLACS background sources and determine the evolution of the disk galaxy luminosity-size relation since z ~ 1. A comparison of the observed SLACS luminosity-size relation to theoretical simulations provides strong evidence for mass-dependent evolution of disk galaxies since z ~ 1. Furthermore, a comparison of the SLACS luminosity-size relation to that of a non-lensing, broad-band imaging survey shows that one can probe a galaxy population that is ~ 2 magnitudes deeper by utilizing the lensing magnification. We continue the detailed study of SLACS background sources by combining the lensing magnification with diffraction-limited integral field spectroscopy to derive two-dimensional kinematic, star formation rate and metallicity distributions of gravitationally lensed galaxies at z > 0.78. Integral field spectroscopic observations of the Hα emission line properties of a SLACS source galaxy (SDSS J0252+0039), at z = 0.98, show that the lensing magnification and adaptive optics advantages can be effectively combined to derive spatially resolved kinematics and star formation rates of compact, sub-luminous galaxies. Finally, we summarize the results of this dissertation and discuss how the powerful advantages of strong gravitational lensing can be utilized to address various questions about galaxy evolution through upcoming surveys and new telescope facilities. / Graduate
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Molecular gas properties of a lensed star-forming galaxy at z ~ 3.6: a case studyDessauges-Zavadsky, M., Zamojski, M., Rujopakarn, W., Richard, J., Sklias, P., Schaerer, D., Combes, F., Ebeling, H., Rawle, T. D., Egami, E., Boone, F., Clément, B., Kneib, J.-P., Nyland, K., Walth, G. 14 September 2017 (has links)
We report on the galaxy MACSJ0032-arc at z(CO) = 3.6314 discovered during the Herschel Lensing snapshot Survey of massive galaxy clusters, and strongly lensed by the cluster MACSJ0032.1+1808. The successful detections of its rest-frame ultraviolet (UV), optical, far-infrared (FIR), millimeter, and radio continua, and of its CO emission enable us to characterize, for the first time at such a high redshift, the stellar, dust, and molecular gas properties of a compact star-forming galaxy with a size smaller than 2.5 kpc, a fairly low stellar mass of 4.8(-1.0)(+0.5) x 10(9) M circle dot, and a moderate IR luminosity of 4.8(-0.6)(+1.2) x 10(11) L circle dot. By combining the stretching effect of the lens with the high angular resolution imaging of the CO(10) line emission and the radio continuum at 5 GHz, we find that the bulk of the molecular gas mass and star formation seems to be spatially decoupled from the rest-frame UV emission. About 90% of the total star formation rate is undetected at rest-frame UV wavelengths because of severe obscuration by dust, but is seen through the thermal FIR dust emission and the radio synchrotron radiation. The observed CO(43) and CO(65) lines demonstrate that high-J transitions, at least up to J = 6, remain excited in this galaxy, whose CO spectral line energy distribution resembles that of high-redshift submm galaxies, even though the IR luminosity of MACSJ0032-arc is ten times lower. This high CO excitation is possibly due to the compactness of the galaxy. We find evidence that this high CO excitation has to be considered in the balance when estimating the CO-to-H-2 conversion factor. Indeed, the respective CO-to-H-2 conversion factors as derived from the correlation with metallicity and the FIR dust continuum can only be reconciled if excitation is accounted for. The inferred depletion time of the molecular gas in MACSJ0032-arc supports the decrease in the gas depletion timescale of galaxies with redshift, although to a lesser degree than predicted by galaxy evolution models. Instead, the measured molecular gas fraction as high as 6079% in MACSJ0032-arc favors the continued increase in the gas fraction of galaxies with redshift as expected, despite the plateau observed between z similar to 1.5 and z similar to 2.5.
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A Spectroscopic Survey of the Fields of Strong Gravitational LensesWilson, Michelle Louise, Wilson, Michelle Louise January 2017 (has links)
This dissertation presents an algorithm for identifying galaxy groups, describes the effects of galaxy groups in the environments of strong gravitational lenses and elsewhere along their sightlines, and investigates the properties of brightest group galaxies.
We develop an algorithm to identify galaxy groups and apply it to a large spectroscopic survey in the fields of 26 strong gravitational lenses. We identify 210 groups with at least five member galaxies having velocity dispersions of 60 ≤ σ grp ≤ 1200 km s −1 over a redshift range of 0.04 ≤ z grp ≤ 0.76.
Using the group catalog defined by this algorithm, we study the environments and line-of-sight structures of 26 strong gravitational lenses. Using these systems to measure cosmological parameters requires an understanding of possible systematic errors as well as the large samples to combat random uncertainties that will be discovered by future surveys. We determine the impact of ignoring lens environments and groups elsewhere along the lens sightlines on H 0 . Lens groups that would bias H 0 high by ≥ 1% exist in 23% of our fields and similarly significant line-of-sight groups in 57%. For lens systems to be used for precision cosmology, the lens environments and line-of-sight groups must be considered to avoid the systematic biases they would cause if ignored.
We also study the properties of brightest group galaxies. We compare their morphological, spectroscopic, photometric, and kinematic properties to those of other group galaxies and to a sample of brightest cluster galaxies (BCGs) from Tempel et al. (2014). There is a population (38%) of elliptical, quiescent BGGs as expected from local group and cluster samples. However, our sample also includes a diversity of BGG properties, including disks, disturbed morphologies, AGN, and star formation. BGG luminosities and colors are similar to those of BCGs. However,16 BGG colors show an intermediate amount of scatter between that of BCGs and other group galaxies. BGGs and other group galaxies also have similar phase space distributions. These diverse BGG properties suggest they are still evolving.
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Gravitational Lensing of the supernovae from the Supernova Legacy Survey / Effet de lentille gravitationnelle sur les supernovae du Supernova Legacy SurveyMitra, Ayan 30 September 2016 (has links)
La presence d’inhomogénéite de matière le long de la ligne de visée d’une source lumineuseprovoque la déviation des rayons lumineux : c’est l’effet de lentille gravitationnelle. Dans cette thèse, nous etudions l’effet de lentille gravitationnelle qui affecte les supernovae détectées par le Supernova Legacy Survey et induit une dispersion supplémentaire dans leur distribution en magnitude observée. Cet effet est mis en évidence par la mesure d’une corrélation positive entre : d’une part, le résidu au diagramme de Hubble c’est-à -dire à l’ajustement de la dépendance en redshift de la magnitude de la supernova ; d’autre part, la magnification calculée en modélisant les halos galactiques présents le long de la ligne de visée. Une corrélation positive est estimée, en utilisant les données à cinq ans du Supernova Legacy Survey. Le résultat obtenu est compatible avec les résultats précédemments obtenus sur un lot de supernovae plus restreint. / The presence of mass inhomogeneities along the line of sight of propagation of light fromdistant objects can induce deflection in the flight path of the photon. This phenomenon is called as gravitational lensing. Lensing can have both distortion (shear) and isotropic magnification effects on the source. We studied the effect of lensing magnification on supernova (SN) Ia in this thesis. Presence of lensing would introduce a source of contamination to the brightness distribution of the source (SN Ia in our case). Thus it also enables one to compute the lensing effect indirectly from the Hubble diagram (i.e. from the residual to the Hubble diagram). In this thesis we computed the correlation between these two effects : the Hubble residual and the computed lensing magnification for the SN by the line of sight foreground dark matter haloes. A detection of positive correlation between these two would signify the positivity of lensing signal detection. The data sample is the spectroscopic SNe Ia sample from the five years full SNLS data and the Hubble resiudals are those of the preliminary cosmology analysis performed on SNLS5 data. We obtain a signal of _ = 0.177 at 2.51_. This result is consistent with the previous SNLS three years data lensing analysis results.
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Zooming in on star formation in the brightest galaxies of the early universe discovered with the Planck and Herschel satellites / Zoom sur la formation stellaire au sein des galaxies les plus brillantes de l'univers jeune découvertes avec les satellites Planck et HerschelCañameras, Raoul 26 September 2016 (has links)
Les galaxies amplifiées par lentillage gravitationnel fort offrent une opportunité exceptionnelle pour caractériser la formation stellaire intense au sein des galaxies poussiéreuses les plus distantes. Dans les cas les plus favorables, il est possible d'étudier les mécanismes qui régissent la formation stellaire jusqu'aux échelles des régions de formation d'étoiles individuelles. Les alignements fortuits entre ces galaxies actives et des structures d'avant-plan produisant des facteurs d'amplification par lentillage gravitationnel >> 10 restent néanmoins très rares. L'échantillon des Planck's Dusty GEMS (Gravitationally Enhanced subMillimeter Sources), découvert par le relevé de ciel complet du satellite Planck dans le domaine sub-millimétrique, contient onze galaxies à haut décalage spectral extrêmement brillantes. Leurs densités de flux à 350 microns se situent entre 300 et 1000 mJy, au-delà de la plupart des sources lentillées précédemment découvertes par les relevés en infrarouge lointain et sub-millimétrique. Six d'entre elles dépassent la limite en complétude à 90% du catalogue de sources ponctuelles détectées par Planck (PCCS), indiquant qu'elles sont parmi les plus brillantes sources lointaines sélectionnées par leur formation stellaire intense. Cette thèse s'intègre dans le suivi multi-longueur d'onde de cet échantillon exceptionnel, destiné à sonder les propriétés globales des sources d'arrière-plan et à contraindre les configurations de lentillage. Premièrement, j'utilise de l'imagerie et de la spectroscopie en visible et en infrarouge proche et moyen pour caractériser les structures formant la lentille et pour construire des modèles de lentillage gravitationnel complets. J'en déduis que les onze GEMS sont effectivement alignées avec des surdensités de matière en avant-plan, soit des galaxies massives et isolées, soit des groupes ou amas de galaxies. Ces objets amplifiants contiennent des populations d'étoiles évoluées et âgées de plusieurs milliards d'années, indiquant qu'il s'agit de galaxies précoces. De plus, la modélisation détaillée de l'effet de lentillage vers les GEMS suggère que les amplifications atteignent systématiquement des facteurs > 10, et > 20 pour certaines lignes de visée. Deuxièmement, nous observons dans les domaines infrarouge lointain et millimétrique pour caractériser les sources d'arrière-plan. Les données en interférométrie de l'IRAM et du SMA à des résolutions inférieures à la seconde d'arc montrent que les GEMS ont des morphologies très déformées, preuve de fortes distorsions gravitationnelles. J'obtiens des températures de poussières de 33 à 50 K et des luminosités atteignant 2x10^14 luminosités solaires en infrarouge lointain, sans corriger du facteur d'amplification. La relation entre températures de poussières et luminosités infrarouge confirme également que, pour une température donnée, les GEMS sont plus brillantes que les galaxies similaires non lentillées. Je conclus qu'à ces longueurs d'onde, le chauffage des poussières semble être dominé par l'activité de formation stellaire avec une contamination par d'éventuels noyaux actifs systématiquement inférieure à 30%. Nous trouvons des décalages vers le rouge compris entre 2.2 et 3.6 grâce à la détection d'au moins deux raies d'émission du gaz atomique ou moléculaire par source. Finalement, je cible les trois sources lentillées de l'échantillon ayant les propriétés les plus remarquables. En particulier, la plus brillante d'entre elles s'avère être un sursaut présentant des densités de formation stellaire proches de la limite d'Eddington, et permet de sonder la naissance des étoiles dans ses phases les plus extrêmes. / Strongly gravitationally lensed galaxies offer an outstanding opportunity to characterize the most intensely star-forming galaxies in the high-redshift universe. In the most extreme cases, one can probe the mechanisms that underlie the intense star formation on the scales of individual star-forming regions. This requires very fortuitous gravitational lensing configurations offering magnification factors >> 10, which are particularly rare toward the high-redshift dusty star-forming galaxies. The Planck's Dusty GEMS (Gravitationally Enhanced subMillimeter Sources) sample contains eleven of the brightest high-redshift galaxies discovered with the Planck sub-millimeter all-sky survey, with flux densities between 300 and 1000 mJy at 350 microns, factors of a few brighter than the majority of lensed sources previously discovered with other surveys. Six of them are above the 90% completeness limit of the Planck Catalog of Compact Sources (PCCS), suggesting that they are among the brightest high-redshift sources on the sky selected by their active star formation. This thesis comes within the framework of the extensive multi-wavelength follow-up programme designed to determine the overall properties of the high-redshift sources and to probe the lensing configurations. Firstly, to characterize the intervening lensing structures and calculate lensing models, I use optical and near/mid-infrared imaging and spectroscopy. I deduce that our eleven GEMS are aligned with intervening matter overdensities at intermediate redshift, either massive isolated galaxies or galaxy groups and clusters. The foreground sources exhibit evolved stellar populations of a few giga years, characteristic of early-type galaxies. Moreover, the first detailed models of the light deflection toward the GEMS suggest magnification factors systematically > 10, and > 20 for some lines-of-sight. Secondly, we observe the GEMS in the far-infrared and sub-millimeter domains in order to characterize the background sources. The sub-arcsec resolution IRAM and SMA interferometry shows distorded morphologies which definitively confirm that the eleven sources are strongly lensed. I obtain dust temperatures between 33 and 50 K, and outstanding far-infrared luminosities of up to 2x10^14 solar luminosities before correcting for the gravitational magnification. The relationship between dust temperatures and far-infrared luminosities also confirms that the GEMS are brighter than field galaxies at a given dust temperature. I conclude that dust heating seems to be strongly dominated by the star formation activity with an AGN contamination systematically below 30%. We find secure spectroscopic redshifts between 2.2 and 3.6 for the eleven targets thanks to the detection of at least two CO emission lines per source. Finally, I focus on the three gravitationally lensed sources showing the most remarkable properties including the brightest GEMS, a maximal starburst with star formation surface densities near the Eddington limit.
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Physical conditions of the interstellar medium in high-redshift submillimetre bright galaxies / Conditions physiques du milieu interstellaire dans les galaxies à fort rayonnement submillimétrique à haut redshiftYang, Chentao 22 September 2017 (has links)
La découverte d'une population de galaxies submillimétrique (SMG) obscurcies par la poussière à grand décalage spectral, à l'aide de caméras submm, a révolutionné notre connaissance de l'évolution des galaxies et de la formation stellaire dans les conditions physiques extrêmes. Elles sont les flambées de formation stellaire les plus intenses dans l'Univers, approchant la limite d'Eddington et sont considérées comme les progéniteurs des galaxies actuelles les plus massives. Les modèles théoriques d'évolution de galaxies ont été remis en question par la découverte d'un grand nombre de SMGs à grand décalage spectral. Quelques unes sont fortement lentillées gravitationnelement par une galaxie. Les grands relevés extragalactiges récemment effectués en ont découvert plusieurs centaines, ouvrant de nouvelles opportunités pour observer le milieu interstellaire dans ces objets exceptionnels.Nous avons donc sélectionné un échantillon de SMG fortement lentillées à l'aide des densités de flux submm du relevé Herschel-ATLAS. À l'aide des télescopes de l'IRAM, nous avons construit un échantillon de 16 SMG détectés par la raie de l'eau. Nous avons trouvé une corrélation linéaire forte entre les luminosité d'H2O et infrarouge totale. Cela indique le rôle important du pompage IR lointain dans l'excitation des raies de l'eau. En utilisant un modèle de pompage IR lointain, nous avons obtenus les propriétés physiques du gaz et de la poussière. Nous avons montré que l'eau trace un gaz chaud et dense qui peut être étroitement lié à la formation des étoiles. Plusieurs raies d'H2O+ ont également été détectées dans trois SMG, montrant une corrélation étroite entre les luminosités des raies de H₂ O/H₂ O+ des ULIRG locales aux SMG. Le rapport de flux H2O+/H2O suggère que les rayons cosmiques provenant des activités fortes de formation stellaire sont probablement à l'origine de la chimie de l'oxygène.Nous avons observé de multiples transitions de CO dans chacune de nos SMG. Nous avons mis en évidence un effet significatif de lentillage différentiel qui peut entraîner une sous-estimation de la largeur de raie d'un facteur ~2. A l'aide d'une modélisation de type LVG et en utilisant une approche bayésienne, nous avons estimé la densité et la température du gaz, ainsi que sa densité de colonne. Nous avons ensuite mis en évidence une corrélation entre la pression thermique du gaz et l'efficacité de la formation stellaire. Nous avons également étudié les propriétés globales du gaz moléculaire et sa relation avec la formation d'étoiles ainsi que le rapport masse de gaz sur poussière et le temps d'épuisement du gaz. La détections de raies de carbone atomique dans ces SMG a étendu la corrélation linéaire locale entre luminosité des raies de CO/CI. Enfin, nous avons comparé les largeurs de raie de CO/H₂ O et constaté qu'elles étaient en bon accord. Cela suggère que les régions émettrices soient co-spatiale.Afin de comprendre les propriétés des émissions moléculaires dans ces sources, et plus généralement, leur structure et leur propriétés dynamiques, il est crucial d'acquérir des images à haute résolution angulaire. Nous avons donc observé deux sources avec ALMA/NOEMA en configuration étendue. Ces données nous permettent de reconstituer la morphologie intrinsèque de la source. Les émissions de poussière froide ont une plus petite taille en comparaison avec le gaz CO/H2 O, tandis que les deux derniers sont de taille similaire. En ajustant le modèle dynamique aux données CO, nous avons montré que ces galaxies peuvent être modélisée avec un disque en rotation, duquel nous avons pu déduire leurs masses dynamiques projetées et leurs rayons effectifs.Avec le futur NOEMA/ALMA, nous pourrons étendre ce genre d'observations à un plus grand nombre de SMG fortement amplifiées et même à des SMG non lentillées, afin d'étudier divers traceurs du gaz moléculaire et de comprendre les conditions physiques du milieux interstellaire et leur relation avec la formation des étoiles. / The discovery of a population of high-redshift dust-obscured submillimeter galaxies (SMGs) from ground-based submm cameras has revolutionised our understanding of galaxy evolution and star formation in extreme conditions. They are the strongest starbursts in the Universe approaching the Eddington limit and are believed to be the progenitors of the most massive galaxies today. However, theoretical models of galaxy evolution have even been challenged by a large number of detections of high-redshift high-redshift SMGs. A very few among them are gravitationally lensed by an intervening galaxy. Recent wide-area extragalactic surveys have discovered hundreds of such strongly lensed SMGs, opening new exciting opportunities for observing the interstellar medium in these exceptional objects.We have thus carefully selected a sample of strongly gravitational lensed SMGs based on the submm flux limit from the Herschel-ATLAS sample. Using IRAM telescopes, we have built a rich H₂ O-line-detected sample of 16 SMGs. We found a close-to-linear tight correlation between the H2O line and total infrared luminosity. This indicates the importance of far-IR pumping to the excitation of the H2O lines. Using a far-IR pumping model, we have derived the physical properties of the H2O gas and the dust. We showed that H2O lines trace a warm dense gas that may be closely related to the active star formation. Along with the H2O lines, several H2O+ lines have also been detected in three of our SMGs. We also find a tight correlation between the luminosity of the lines of H2O and H2O+ from local ULIRGs to high-redshift SMGs. The flux ratio between H2O+ and H2O suggests that cosmic rays from strong star forming activities are possibly driving the related oxygen chemistry.Another important common molecular gas tracer is the CO line. We have observed multiple transitions of the CO lines in each of our SMGs with IRAM30m telescope. By analysing the CO line profile, we discovered a significant differential lensing effect that might cause underestimation of the linewidth by a factor of ~2. Using LVG modelling and fitting the multi-J CO fluxes via a Bayesian approach, we derived gas densities and temperature, and CO column density per unit velocity gradient. We then found a correlation between the gas thermal pressure and the star formation efficiency. We have also studied the global properties of the molecular gas and its relationship with star formation. We have derived the gas to dust mass ratio and the gas depletion time, they show no difference compared with other SMGs. With the detections of atomic carbon lines in our SMGs, we extended the local linear correlation between the CO and CI line luminosity. Finally, we compared the linewidths of the CO and H2O emission line, which agree very well with each other. This suggests that the emitting regions of these two molecules are likely to be co-spatially located.In order to understand the properties of molecular emission in high-redshift SMGs, and more generally, the structure and the dynamical properties of these galaxies, it is crucial to acquire high-resolution images. We thus observed two of our brightest source with ALMA and NOEMA interferometers using their high spatial resolution configuration. These images have allowed us to reconstruct the intrinsic morphology of the sources. We compared the CO, H2O and dust emission. The cold dust emission has a smaller size compared with the CO and H2O gas, while the latter two are similar in size. By fitting the dynamical model to the CO data of the source, we have shown that the source can be modelled with a rotating disk. We derived the projected dynamical mass and the effective radius of those sources.With the future NOEMA and ALMA, we will be able to extend such kind of observations to a larger sample lensed SMGs and even to unlensed SMGs, to study various gas tracers, and to understand the physical conditions of the ISM and their relation to the star formation.
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