Dans ce travail de recherche, on présente des développements spécifiques de diagnostiques optiques et leur application à l’étude aéroacoustique des jets rapides à haut nombre de Reynolds. Les résultats expérimentaux présentés ici résultent de visualisation par strioscopie et, de manière prépondérante dans ce manuscrit, de mesure de masse volumique par diffusion Rayleigh. Ces méthodes de caractérisation d’écoulement, appliquées aux jets subsoniques ou supersoniques, ont été associées à des mesures de bruit en champ lointain. La mesure par diffusion Rayleigh, qui repose sur la lumière diffusée par les molécules constituantes du gaz, et n’est donc pas intrusive. Des difficultés apparaissent néanmoins pour exploiter les résultats lorsque le milieu diffusant contient des poussières. Bien que l’air des écoulements obtenu en soufflerie soit filtré, la quantité résiduelle de poussières a rendu nécessaire le développement d’une méthode de nettoyage du signal en post-traitement. Le niveau des signaux obtenus par diffusion Rayleigh est très faible, et dominé par du bruit appelé shot noise. Un gain significatif sur le niveau de ce bruit a été obtenu en optimisant la chaîne d’acquisition après analyse des systèmes existants. De plus une méthode de traitement du signal dérivée d’une méthode existante a permis de calculer des spectres de masse volumique malgré le shot noise avec un seul capteur, là où il en fallait deux auparavant. Les profils de p obtenus par cette technique ont montré qu’il existe une loi de similarité permettant de superposer les profils mesurés à différentes positions axiales. Cette loi est identique pour les jets issus de trois tuyères aux géométries différentes, et à des nombres de Mach de 0.7 et 0.9. Une loi de similarité est également observée pour p’rms si les profils sont mesurés suffisamment loin de la tuyère. L’étude des spectres dans la couche de mélange a mis en évidence un maximum faiblement marqué autour d’une fréquence centrale comprise entre St = 0:2 et St = 2 dans les régions mesurées, plus marqué que dans les spectres de vitesse, et dont le comportement diffère selon l’état initialement laminaire ou turbulent du jet. L’évolution de la forme des spectres en fonction de la différence de masse volumique entre le jet et le milieu ambiant, ainsi qu’en fonction du nombre de Mach, a également été étudiée. Une loi permettant de superposer les spectres a été définie empiriquement sur la plage de variation des différents paramètres. Des mesures simultanées entre l’acoustique en champ lointain et la masse volumique dans l’écoulement ont été réalisées pour un jet à Mj = 0:9 et un jet à Mj = 1:32. Ces résultats ont permis l’estimation de cohérences spectrales et de moyennes conditionnelles. Les résultats obtenus mettent en évidence la présence de structures liées au rayonnement acoustique dans une région située proche de l’axe du jet en aval du cône potentiel. Pour finir, une étude a été réalisée sur le screech dans les jets supersoniques sous-détendus. Elle a permis d’identifier la position de la source de la rétroaction acoustique pour les modes A1, A2, et B, ainsi que la structure du cycle de la boucle qui détermine les changements de fréquences observés aux sauts de modes. / In this research study, developments of optical diagnosis techniques are presented, and are put into practice in an aeroacoustics study of high speed and high Reynolds jets. The results described here are obtained from Schlieren visualization, and in the majority from density measurements through Rayleigh scattering. These measurement methods are applied for subsonic and supersonic jets, and associated with far field acoustics measurements. Rayleigh scattering measurements rely on laser light scattered by the molecules constituting the flow, thus they are non-intrusive. However, some difficulties in interpreting the results arise when the flow contains dust particles. This problem is partly solved by using air filters in the wind tunnel, but some residual dust particles remain, thus a software based signal cleaning method has been developed and is applied to the signals during post-processing. Besides, the signals obtained from Rayleigh scattering are very weak, and dominated by a shot noise. The noise level has been significantly reduced following the optimization of the chain of acquisition in comparison with actual apparatus. Moreover, a method to compute spectra despite the shot noise level has been adapted from a classic method to be usable with a single sensor instead of two. The analysis of radial profiles of density measured with the Rayleigh scattering apparatus shows that a similarity law allows to superimpose radial profiles measured in jets exhausted from three different nozzles at Mach 0.9 and Mach 0.7. Another similarity law is observed for radial profiles of 0 rms when they are measured far enough form the nozzle. The analysis of density spectra in the mixing layer points out the presence of a local maximum of central frequency found between St = 0:2 and St = 2 depending on the probed location, which is not as clearly observed in velocity spectra. The spatial evolution of this maximum is found different whether the flow is initially laminar or turbulent at the nozzle exit. The dependence of spectra to the Mach number, and to the difference of density between the jet and the surrounding is also studied. A scaling law is empirically determined for the scope of the study. Simultaneous measurements of density and farfield acoustic acquired in a Mach 0.9, and a supersonic ideally expanded Mach 1.32 jets are processed to obtain coherence, and conditional averaging. The results emphasis the role of large structures downstream the end of the potential core in acoustic radiations. Finally, the screech in underexpended jets is studied. This work results in the identification of the acoustic feedback source location for A1, A2 and B modes, and in the characterization of the changes in the loop structure associated with mode switching.

Oscillator phase noise is an important factor in designing radio frequency (RF) communications hardware. Phase noise directly contributes to adjacent-channel interference and an increase in bit error rate (BER). Understanding the operation of an oscillator can help with the oscillator design process. Also, the understanding of the noise processes within an oscillator can add insight to the design process, allowing an intelligent low-noise design. It will be shown that although simulation software can be helpful, the understanding of the oscillator operation is a valuable tool in the design process. Oscillator design will be discussed, and then the noise processes of the oscillator will be investigated. A new method of decomposing shot noise into in-phase and quadrature components will be discussed. The noise processes discussed for a non-saturating bipolar junction transistor (BJT) Colpitts oscillator will be extended to the case of a saturating BJT Colpitts oscillator. This new method gives insight into the design of low-noise oscillators, and provides guidelines for design of low-noise oscillators. Example oscillators will support the theory and low-noise design guidelines. It will be seen that although designing an oscillator to saturate can provide a stable output level over a wide bandwidth, the added noise production may degrade the performance of the oscillator through both a lower effective Q and restricted signal level compared to the noise. / Master of Science

Estudamos transporte quântico dependente de spin em sistemas de ponto e de poço quântico acoplados a contatos magnéticos. O primeiro passo do nosso estudo foi a dedução de fórmulas originais para a corrente e para o ruído em sistemas com tunelamento dependente de spin, através do formalismo de funções de Green de mão equilíbrio. As equações deduzidas reproduzem casos limites da literatura - em particular as fórmulas de Landauer-Buttiker. Posteriormente aplicamos essas fórmulas para estudar três sistemas distintos: (1) ponto quântico acoplado a contatos ferromagnéticos, (2) um ponto quântico acoplado a múltiplos terminais ferromagnéticos, e (3) um poço quântico acoplado a terminais de semicondutor magnético diluído (DMS). No sistema (1) consideramos os alinhamentos paralelo (P) e anti-paralelo (AP) entre as magnetizações dos terminais. Nesse sistema levamos em conta interação de Coulomb e espalhamento de spin no ponto quântico. Com as fórmulas para corrente e ruído deduzidas aqui, encontramos, por exemplo, que a interação de Coulomb, combinada com o magnetismo dos eletrodos, leva a um bloqueio de Coulomb dependente de spin. Esse efeito por sua vez leva a uma polarização da corrente que pode ser modulada (intensidade e sinal) através de uma tens~ao externa. Também encontramos que o espalhamento de spin leva a comportamentos contrastantes entre corrente e ruído. Enquanto a corrente na configuração AP aumenta com a taxa de espalhamento de spin R, o ruído nessa mesma configuração é suprimido para uma certa faixa de valores de R. Um outro efeito interessante que observamos foi a possibilidade de se suprimir o ruído térmico através de uma tensão de porta. Para o sistema (2) mostramos que é possível injetar corrente &#8593-polarizada no ponto quântico e coletar simultaneamente correntes &#8593 e &#8595 polarizadas em terminais diferentes. Além disso, a corrente ao passar do reservatório emissor para um dos reservatórios coletores tem a sua polarização intensificada. Portanto esse sistema pode operar como inversor e amplificador de polarização de corrente. Por último, analisamos os efeitos de terminais DMS e quantização de Landau (na presença de um campo magnético externo) sobre a corrente e o ruído no sistema (3). Encontramos que o efeito Zeeman gigante nos terminais DMS, gerado pela interação de troca s-d, leva a uma polarização da corrente. Em particular, para uma certa faixa de tensão o efeito Zeeman gigante resulta na completa supressão de uma dada componente de spin no transporte. Com isso é possível controlar a polarização da corrente através de uma tensão externa. Também observamos oscilações na corrente, no ruído e no fator de Fano como função do campo magnético. / We study spin dependent quantum transport in quantum dots and quantum well devices attached to magnetic leads. We first derive general formulas, including electron-electron interaction and spin flip, for both current and noise, using the no equilibrium Green function technique (Keldysh). From our equations we regain limiting cases in the literature - in particular the Landauer-Buttiker formula when we neglect electron-electron interaction. We apply these formulas to study three distinct systems: (1) a quantum dot attached to two ferromagnetic leads, (2) a quantum dot linked to many ferromagnetic leads, and (3) a quantum well coupled to dilute magnetic semiconductor (DMS) terminals. In the first system we consider both parallel (P) and anti-parallel (AP) ferromagnetic alignments of the leads. Coulomb interaction and spin flip scattering are also taken into account. With the formulas for the current and the noise derived here, we find, for instance, that the Coulomb interaction, combined with the magnetism of the electrodes, gives rise to a spin-dependent Coulomb blockade. This effect allows the control (intensity and sign) of the current polarization via the bias voltage. We also observe that spin flip scattering yields contrasting behavior between current and shot noise. While the current in the AP configuration increases with the spin flip, the shot noise becomes suppressed for a range of spin flip rates. Another interesting finding is the possibility to suppress the thermal noise via a gate voltage. For the dot coupled to three magnetic leads, we show that it is possible to inject current &#8593-polarized into the dot from the FM emitter, detect simultaneously &#8593 and &#8595 - polarized currents at distinct collectors. In addition, we find that the current has its polarization amplified when going from the emitter to one of the collectors. Therefore we have a device that operates as both as current polarization inverter and amplifier. Finally, we analyze the effects of DMS leads and Landau quantization on the current and noise of system (3). We and that the giant Zeeman effect in the DMS leads, due to the it s-d exchange interaction, gives rise to a spin polarized current, and for a particular bias voltage range, full suppression of one spin component. This gives rise to the possibility of tuning the current polarization via the bias voltage. We also observe oscillations in the current, the noise and the Fano factor as a function of the magnetic field.

Estudamos transporte quântico dependente de spin em sistemas de ponto e de poço quântico acoplados a contatos magnéticos. O primeiro passo do nosso estudo foi a dedução de fórmulas originais para a corrente e para o ruído em sistemas com tunelamento dependente de spin, através do formalismo de funções de Green de mão equilíbrio. As equações deduzidas reproduzem casos limites da literatura - em particular as fórmulas de Landauer-Buttiker. Posteriormente aplicamos essas fórmulas para estudar três sistemas distintos: (1) ponto quântico acoplado a contatos ferromagnéticos, (2) um ponto quântico acoplado a múltiplos terminais ferromagnéticos, e (3) um poço quântico acoplado a terminais de semicondutor magnético diluído (DMS). No sistema (1) consideramos os alinhamentos paralelo (P) e anti-paralelo (AP) entre as magnetizações dos terminais. Nesse sistema levamos em conta interação de Coulomb e espalhamento de spin no ponto quântico. Com as fórmulas para corrente e ruído deduzidas aqui, encontramos, por exemplo, que a interação de Coulomb, combinada com o magnetismo dos eletrodos, leva a um bloqueio de Coulomb dependente de spin. Esse efeito por sua vez leva a uma polarização da corrente que pode ser modulada (intensidade e sinal) através de uma tens~ao externa. Também encontramos que o espalhamento de spin leva a comportamentos contrastantes entre corrente e ruído. Enquanto a corrente na configuração AP aumenta com a taxa de espalhamento de spin R, o ruído nessa mesma configuração é suprimido para uma certa faixa de valores de R. Um outro efeito interessante que observamos foi a possibilidade de se suprimir o ruído térmico através de uma tensão de porta. Para o sistema (2) mostramos que é possível injetar corrente &#8593-polarizada no ponto quântico e coletar simultaneamente correntes &#8593 e &#8595 polarizadas em terminais diferentes. Além disso, a corrente ao passar do reservatório emissor para um dos reservatórios coletores tem a sua polarização intensificada. Portanto esse sistema pode operar como inversor e amplificador de polarização de corrente. Por último, analisamos os efeitos de terminais DMS e quantização de Landau (na presença de um campo magnético externo) sobre a corrente e o ruído no sistema (3). Encontramos que o efeito Zeeman gigante nos terminais DMS, gerado pela interação de troca s-d, leva a uma polarização da corrente. Em particular, para uma certa faixa de tensão o efeito Zeeman gigante resulta na completa supressão de uma dada componente de spin no transporte. Com isso é possível controlar a polarização da corrente através de uma tensão externa. Também observamos oscilações na corrente, no ruído e no fator de Fano como função do campo magnético. / We study spin dependent quantum transport in quantum dots and quantum well devices attached to magnetic leads. We first derive general formulas, including electron-electron interaction and spin flip, for both current and noise, using the no equilibrium Green function technique (Keldysh). From our equations we regain limiting cases in the literature - in particular the Landauer-Buttiker formula when we neglect electron-electron interaction. We apply these formulas to study three distinct systems: (1) a quantum dot attached to two ferromagnetic leads, (2) a quantum dot linked to many ferromagnetic leads, and (3) a quantum well coupled to dilute magnetic semiconductor (DMS) terminals. In the first system we consider both parallel (P) and anti-parallel (AP) ferromagnetic alignments of the leads. Coulomb interaction and spin flip scattering are also taken into account. With the formulas for the current and the noise derived here, we find, for instance, that the Coulomb interaction, combined with the magnetism of the electrodes, gives rise to a spin-dependent Coulomb blockade. This effect allows the control (intensity and sign) of the current polarization via the bias voltage. We also observe that spin flip scattering yields contrasting behavior between current and shot noise. While the current in the AP configuration increases with the spin flip, the shot noise becomes suppressed for a range of spin flip rates. Another interesting finding is the possibility to suppress the thermal noise via a gate voltage. For the dot coupled to three magnetic leads, we show that it is possible to inject current &#8593-polarized into the dot from the FM emitter, detect simultaneously &#8593 and &#8595 - polarized currents at distinct collectors. In addition, we find that the current has its polarization amplified when going from the emitter to one of the collectors. Therefore we have a device that operates as both as current polarization inverter and amplifier. Finally, we analyze the effects of DMS leads and Landau quantization on the current and noise of system (3). We and that the giant Zeeman effect in the DMS leads, due to the it s-d exchange interaction, gives rise to a spin polarized current, and for a particular bias voltage range, full suppression of one spin component. This gives rise to the possibility of tuning the current polarization via the bias voltage. We also observe oscillations in the current, the noise and the Fano factor as a function of the magnetic field.

Nesta dissertação, fazemos a primeira investigação sobre flutuações em corrente e corrente média dependentes de spin em potenciais duplo e simples da estrutura Zn1-xMnxSe. Consideramos efeitos de campos magnético e elétrico externos à temperatura nula. Na presença de um campo magnético, a interação dos íons de Mn com elétrons de condução e valência (interação de troca sp-d) origina potenciais dependentes de spin para o transporte em Zn1-xMnxSe. Aqui, flutuações em corrente (\"shot noise\") e a corrente média são calculados usando o modelo quântico de transporte através do potencial dependente de spin é descrito por uma matriz s de espalhamento. Os elementos da matriz de espalhamento, i.e., as amplitudes de transmissão e reflexão, são determinados pelo método da matriz transferência. Nossos resultados indicam que estruturas de potenciais simples e duplos Zn1-xMnxSe agem como se fossem \"filtros de spin\" para corrente. Em determinadas faixas de parâmetros do sistema, \"shot noise\" pode complementar informações obtidas da corrente média / In this dissertation we investigation for the first time spin dependent-current and its fluctuations in double and single barrier potentials of the Zn1-xMn xSe structure sandwiched between ZnSe layers. We consider effects of external magnetic field, the interaction of the Mn ions with thew conduction and valence electrons (sp-d exchange interation) give rises to spin-dependent potentials for transport across the Zn1-xMn xSe layer. Here, the average current and its fluctuations are calculated using the quantum transport model in which transport across the spin-dependent potential is described via scattering matrix s. The elements of the scattering matrix, i.e., the transmission and reflection amplitudes, are determined through the transfer-matrix method. Our results indicate date single and double potentials of the Zn1-xMn xSe structure act as \"spin filters\" for the current. Within some system parameter range, shot noise can supplement the information contained in the average current

Nesta dissertação, fazemos a primeira investigação sobre flutuações em corrente e corrente média dependentes de spin em potenciais duplo e simples da estrutura Zn1-xMnxSe. Consideramos efeitos de campos magnético e elétrico externos à temperatura nula. Na presença de um campo magnético, a interação dos íons de Mn com elétrons de condução e valência (interação de troca sp-d) origina potenciais dependentes de spin para o transporte em Zn1-xMnxSe. Aqui, flutuações em corrente (\"shot noise\") e a corrente média são calculados usando o modelo quântico de transporte através do potencial dependente de spin é descrito por uma matriz s de espalhamento. Os elementos da matriz de espalhamento, i.e., as amplitudes de transmissão e reflexão, são determinados pelo método da matriz transferência. Nossos resultados indicam que estruturas de potenciais simples e duplos Zn1-xMnxSe agem como se fossem \"filtros de spin\" para corrente. Em determinadas faixas de parâmetros do sistema, \"shot noise\" pode complementar informações obtidas da corrente média / In this dissertation we investigation for the first time spin dependent-current and its fluctuations in double and single barrier potentials of the Zn1-xMn xSe structure sandwiched between ZnSe layers. We consider effects of external magnetic field, the interaction of the Mn ions with thew conduction and valence electrons (sp-d exchange interation) give rises to spin-dependent potentials for transport across the Zn1-xMn xSe layer. Here, the average current and its fluctuations are calculated using the quantum transport model in which transport across the spin-dependent potential is described via scattering matrix s. The elements of the scattering matrix, i.e., the transmission and reflection amplitudes, are determined through the transfer-matrix method. Our results indicate date single and double potentials of the Zn1-xMn xSe structure act as \"spin filters\" for the current. Within some system parameter range, shot noise can supplement the information contained in the average current

Nous avons mené une étude expérimentale du bruit de grenaille quantique dans une mono-couche de graphène. La conductance et l'effet Hall quantique ont été également examinés. Le modèle théorique, décrivant la conductance et le bruit quantique dans du graphène idéal (balistique) a été proposé par Tworzydlo et al., 2006. Dans du graphène diffusif, plus facilement réalisable expérimentalement, le bruit de grenaille a été étudié numériquement par plusieurs auteurs (San-Jose et al., 2007, Lewenkopf et al., 2008, Logoteta et al., 2013). Les conclusions des premiers travaux expérimentaux (DiCarlo et al., 2008 and Danneau et al., 2008) sur ce sujet n'en ont pas permis une compréhension suffisamment approfondi et des études complémentaires sont nécessaires. Dans notre expérience nous avons tenté de réduire au maximum les contributions du système de mesure sur le signal détecté en effectuant une mesure du bruit en tension quatre points et en utilisant la détection en cross-corrélation. En plus, notre système de mesure inclut des amplificateurs bas bruit cryogéniques faits maison combinés avec des filtres passe-bande alors que notre couche de graphène contient une constriction au centre. n utilisant les résultats des mesures de la conductance et de l'effet Hall quantique nous avons déterminé le libre parcours moyen dans notre échantillon et conclu qu'il est dans le régime diffusif. Les valeurs du facteur de Fano que nous avons extraites sont en bon accord avec les simulations pour ce régime, un pic au point de Dirac prévu par Lewenkopf et al. a été observé. D'autre part, nos résultats sont compatibles avec ceux de Danneau et al. and DiCarlo et al. / We have conducted an experimental study of the quantum shot noise in a mono-layer graphene device. Conductance of the device and the quantum Hall effect were also investigated. A theoretical model, describing conductance and quantum shot noise in ideal (ballistic) graphene was proposed by Tworzydlo et al., 2006. In diffusive graphene, that is much easier achievable experimentally, shot noise was investigated numerically by several authors (San-Jose et al., 2007, Lewenkopf et al., 2008, Logoteta et al., 2013). Conclusions of the first experimental works (DiCarlo et al., 2008 and Danneau et al., 2008), addressing this problem, didn’t lead to an enough broad understanding of it and a further investigation was required. In our experiment we intended to maximally reduce the contributions of the measurement system to the detected signal by performing four-point voltage noise measurement as well as by using cross-correlation detection. In addition to that, our measurement system include home-made cryogenic low-noise amplifiers combined with band-pass filters, while our experimental device carries a constriction in the center of graphene layer and side-gates are used instead of back-gate. First, using the results of the conductance and of the quantum Hall effect measurements we determined the mean free path in our sample and concluded that it was in diffusive regime. The extracted values of the Fano factor show a good agreement with the above-mentioned simulations for this regime, in particular, the peak at Dirac point, predicted by Lewenkopf et al., was observed. Moreover our results are consistent with those of Danneau et al. and DiCarlo et al.

We analyze experimental evidence of transport through evanescent waves in graphene, reconciling existing experimental data with theory. We propose novel experimental geometries that provide even more compelling evidence of evanescent waves. We investigate the shot noise generated by evanescent modes in graphene for several experimental setups. For two impurity-free graphene strips kept at the Dirac point by gate potentials, separated by a long highly doped region, we find that the Fano factor takes the universal value F=1/4. For a large superlattice consisting of many strips gated to the Dirac point, interspersed among doped regions, we find F=1/(8ln2). These results differ from the value F=1/3 predicted for a disordered metal, providing an unambiguous experimental signature of evanescent mode transport in graphene. For a graphene nano-ribbon transistor geometry, we explain that the experimentally observed anomalous voltage scale of the shot noise can arise from doping by the contacts to the electrical circuit. These observations provide strong evidence of evanescent mode transport in graphene.

The noise in the Langmuir Probe and Plasma Wave Instrument (LP-PWI) on board ESA:s future Jupiter satellite JUICE (Jupiter ICy Moons Explorer) was investigated. Thermal Johnson-Nyquist noise and shot noise, caused by fluctuations in the probe-plasma currents, were combined with the quasi-thermal noise (QTN) due to thermal fluctuations in the electric field in the plasma, using a small signal equivalent circuit model. The contributions and effects of each of the considered noise sources were examined and compared for a number of representative space plasma conditions, including the cold dense plasma of Ganymede's ionosphere and the hot tenuous plasma out in the Jovian magnetosphere. The results showed that in the cold dense plasma of Ganymede's ionosphere, the antenna was long compared to the Debye length and the quasi-thermal noise had a clearly pronounced peak and a steep high-frequency cut-off. For an antenna biased to 1 V with respect to the plasma, the shot noise due to the ambient plasma was the dominant source of noise. For a an antenna at the floating potential the photoelectron shot noise coalesced with the shot and Nyquist noises of the ambient plasma to form almost a single curve. In the hot tenuous plasma out in Jupiter's magnetosphere, the antenna was short compared to the Debye length and the QTN spectrum was much flatter, with little or no peak at the plasma frequency and a very weak high-frequency cut-off. For an antenna biased to 1 V, the shot noise due to photoelectron emission dominated at Callisto's orbital position whereas at Ganymede's and Europa's orbital positions the Nyquist and shot noises of the ambient plasma particles were the dominant noise components. For an antenna at the floating potential, the shot and Nyquist noises of the ambient plasma also dominated the output noise, except at Europa's orbital position, where the quasi-thermal noise was the largest noise component for frequencies at and above the plasma frequency. The numerical calculations were performed using MATLAB. The code was made available in a Git repository at https://github.com/eliasodelstad/irfuproj_JUICE_noise.

We have conducted an experimental study of the quantum shot noise in a mono-layer graphene device. Conductance of the device and the quantum Hall effect were also investigated. A theoretical model, describing conductance and quantum shot noise in ideal (ballistic) graphene was proposed by Tworzydlo et al., 2006. In diffusive graphene, that is much easier achievable experimentally, shot noise was investigated numerically by several authors (San-Jose et al., 2007, Lewenkopf et al., 2008, Logoteta et al., 2013). Conclusions of the first experimental works (DiCarlo et al., 2008 and Danneau et al., 2008), addressing this problem, didn't lead to an enough broad understanding of it and a further investigation was required. In our experiment we intended to maximally reduce the contributions of the measurement system to the detected signal by performing four-point voltage noise measurement as well as by using cross-correlation detection. In addition to that, our measurement system include home-made cryogenic low-noise amplifiers combined with band-pass filters, while our experimental device carries a constriction in the center of graphene layer and side-gates are used instead of back-gate. First, using the results of the conductance and of the quantum Hall effect measurements we determined the mean free path in our sample and concluded that it was in diffusive regime. The extracted values of the Fano factor show a good agreement with the above-mentioned simulations for this regime, in particular, the peak at Dirac point, predicted by Lewenkopf et al., was observed. Moreover our results are consistent with those of Danneau et al. and DiCarlo et al.