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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
401

TOWARDS SCALABLE QUANTUM PHOTONIC SYSTEMS:INTRINSIC SINGLE-PHOTON EMITTERS IN SILICONNITRIDE/OXIDE

Samuel Peana (18521370) 08 May 2024 (has links)
<p dir="ltr">This thesis is about the exciting discovery of a new kind of single photon emitter that<br>is suspected to occur at the interface of silicon nitride SixNy and silicon dioxide SiO2 after<br>being rapidly annealed. Since SixNy is one of the most developed platforms for integrated<br>photonics the discovery of a native emitter in this platform opened up the possibility for<br>seamless integration of these single photon emitters with photonic circuitry for the first<br>time. This seamless integration was demonstrated as is shown in Chapter 3 by creating the<br>emitters and then patterning the SixNy layer into a waveguide. This work demonstrated for<br>the first time the coupling of such single photon emitters with on-chip integrated photonics.<br>However, the integration approach demonstrated was based on the stochastic integration of<br>emitters which limits the efficiency of the devices and the possible types of devices that can<br>be designed. This is why the next stage of research focused on the development of a site-<br>controlled process for creating these single photon emitters. Remarkably, it was found that<br>if the SixNy and SiO2 are nanostructured into nanopillars and then annealed then a single<br>photon emitter forms over 65% of the time within the nanopillar! Due to the lithography<br>defined nature of this process for creating the single photon emitters the first multi-mask<br>integration process was also developed and demonstrated. This fabrication process was used<br>to demonstrate the integration of several thousand single photon emitters with complex<br>integrated photonic structures such as topology optimized couplers. These developments<br>has generated a great deal of excitement due to the inherent scalability of the approach and<br>it’s obvious applications for the development of very large scale integrated (VLSI) on-chip<br>quantum photonic systems.</p>
402

Quantum information with optical continuous variables: from Bell tests to key distribution / Information quantique avec variables continues optiques: des tests de Bell à la distribution de clé

Garcia-Patron Sanchez, Raul 12 October 2007 (has links)
In this thesis we have studied different aspects of the novel field of quantum information with continuous variables. The higher efficiency and bandwidth of homodyne detection combined with the easiness of generation and manipulation of Gaussian states makes continuous-variable quantum information a promising and flourishing field of research. This dissertation is divided in two parts. The first part explores two applications of the “photon subtraction” operation; Firstly, a technique to generate highly non-Gaussian single-mode states of light; Secondly, an experimental setup capable of realizing a loophole-free Bell test. The second part of this dissertation develops a detailed analysis of an important family of continuous-variable quantum key distribution protocols, namely those based on Gaussian modulation of Gaussian states./Dans cette thèse on a étudié différents aspects de l'information quantique à variables continues. Les meilleures efficacité et bande passante de la détection homodyne combinées à la simplicité de génération et de manipulation d'états gaussiens rend l'information quantique à variables continues un domaine de recherche très prometteur, qui est actuellement en plein essor. La dissertation est divisée en deux parties. La première explore deux applications de l'opération “soustraction de photon”; en premier lieu on présente une nouvelle technique capable de générer des états mono-modaux de la lumière hautement non-gaussiens; deuxiemement on présente un schéma expérimental capable de réaliser un test de Bell sans faille logique. La deuxième partie de cette dissertation développe une étude détaillée d'une famille très importante de protocoles de distribution quantique de clé à variables continues, ceux basés sur la modulation gaussienne d'états gaussiens. / Doctorat en Sciences de l'ingénieur / info:eu-repo/semantics/nonPublished
403

Quantum Information with Optical Continuous Variables: from Bell Tests to Key Distribution/Information Quantique avec Variables Continues Optiques: des Tests de Bell à la Distribution de Clé

García-Patrón Sánchez, Raúl 12 October 2007 (has links)
In this thesis we have studied different aspects of the novel field of quantum information with continuous variables. The higher efficiency and bandwidth of homodyne detection combined with the easiness of generation and manipulation of Gaussian states makes continuous-variable quantum information a promising and flourishing field of research. This dissertation is divided in two parts. The first part explores two applications of the “photon subtraction” operation; Firstly, a technique to generate highly non-Gaussian single-mode states of light; Secondly, an experimental setup capable of realizing a loophole-free Bell test. The second part of this dissertation develops a detailed analysis of an important family of continuous-variable quantum key distribution protocols, namely those based on Gaussian modulation of Gaussian states./Dans cette thèse on a étudié différents aspects de l'information quantique à variables continues. Les meilleures efficacité et bande passante de la détection homodyne combinées à la simplicité de génération et de manipulation d'états gaussiens rend l'information quantique à variables continues un domaine de recherche très prometteur, qui est actuellement en plein essor. La dissertation est divisée en deux parties. La première explore deux applications de l'opération “soustraction de photon”; en premier lieu on présente une nouvelle technique capable de générer des états mono-modaux de la lumière hautement non-gaussiens; deuxiemement on présente un schéma expérimental capable de réaliser un test de Bell sans faille logique. La deuxième partie de cette dissertation développe une étude détaillée d'une famille très importante de protocoles de distribution quantique de clé à variables continues, ceux basés sur la modulation gaussienne d'états gaussiens.
404

Bose-Einstein Condensates in Synthetic Gauge Fields and Spaces: Quantum Transport, Dynamics, and Topological States

Chuan-Hsun Li (7046690) 14 August 2019 (has links)
<p>Bose-Einstein condensates (BECs) in light-induced synthetic gauge fields and spaces can provide a highly-tunable platform for quantum simulations. Chapter 1 presents a short introduction to the concepts of BECs and our BEC machine. Chapter 2 introduces some basic ideas of how to use light-matter interactions to create synthetic gauge fields and spaces for neutral atoms. Three main research topics of the thesis are summarized below.</p> <p>Chapter 3: Recently, using bosonic quasiparticles (including their condensates) as spin carriers in spintronics has become promising for coherent spin transport over macroscopic distances. However, understanding the effects of spin-orbit (SO) coupling and many-body interactions on such a spin transport is barely explored. We study the effects of synthetic SO coupling (which can be turned on and off, not allowed in usual materials) and atomic interactions on the spin transport in an atomic BEC.</p> <p>Chapter 4: Interplay between matter and fields in physical spaces with nontrivial geometries can lead to phenomena unattainable in planar spaces. However, realizing such spaces is often impeded by experimental challenges. We synthesize real and curved synthetic dimensions into a Hall cylinder for a BEC, which develops symmetry-protected topological states absent in the planar counterpart. Our work opens the door to engineering synthetic gauge fields in spaces with a wide range of geometries and observing novel phenomena inherent to such spaces.</p> <p>Chapter 5: Rotational properties of a BEC are important to study its superfluidity. Recent studies have found that SO coupling can change a BEC's rotational and superfluid properties, but this topic is barely explored experimentally. We study rotational dynamics of a SO-coupled BEC in an effective rotating frame induced by a synthetic magnetic field. Our work may allow for studying how SO coupling modify a BEC's rotational and superfluid properties.</p> <p>Chapter 6 presents some possible future directions.</p>
405

Wellenleiterquantenelektrodynamik mit Mehrniveausystemen

Martens, Christoph 18 January 2016 (has links)
Mit dem Begriff Wellenleiterquantenelektrodynamik (WQED) wird gemeinhin die Physik des quantisierten und in eindimensionalen Wellenleitern geführten Lichtes in Wechselwirkung mit einzelnen Emittern bezeichnet. In dieser Arbeit untersuche ich Effekte der WQED für einzelne Dreiniveausysteme (3NS) bzw. Paare von Zweiniveausystemen (2NS), die in den Wellenleiter eingebettet sind. Hierzu bediene ich mich hauptsächlich numerischer Methoden und betrachte die Modellsysteme im Rahmen der Drehwellennäherung. Ich untersuche die Dynamik der Streuung einzelner Photonen an einzelnen, in den Wellenleiter eingebetteten 3NS. Dabei analysiere ich den Einfluss dunkler bzw. nahezu dunkler Zustände der 3NS auf die Streuung und zeige, wie sich mit Hilfe stationärer elektrischer Treibfelder gezielt auf die Streuung einwirken lässt. Ich quantifiziere Verschränkung zwischen dem Lichtfeld im Wellenleiter und den Emittern mit Hilfe der Schmidt-Zerlegung und untersuche den Einfluss der Form der Einhüllenden eines Einzelphotonpulses auf die Ausbeute der Verschränkungserzeugung bei der Streuung des Photons an einem einzelnen Lambda-System im Wellenleiter. Hier zeigt sich, dass die Breite der Einhüllenden im k-Raum und die Emissionszeiten der beiden Übergänge des 3NS die maßgeblichen Parameter darstellen. Abschließend ergründe ich die Emissionsdynamik zweier im Abstand L in den Wellenleiter eingebetteter 2NS. Diese Dynamik wird insbesondere durch kavitätsartige und polaritonische Zustände des Systems aus Wellenleiter und Emitter ausschlaggebend beeinflusst. Bei der kollektiven Emission der 2NS treten - abhängig vom Abstand L - Sub- bzw. Superradianz auf. Dabei nimmt die Intensität dieser Effekte mit längerem Abstand L zu. Diese Eigenart lässt sich auf die Eindimensionalität des Wellenleiters zurückführen. / The field of waveguide quantum electrodynamics (WQED) deals with the physics of quantised light in one-dimensional (1D) waveguides coupled to single emitters. In this thesis, I investigate WQED effects for single three-level systems (3LS) and pairs of two-level systems (2LS), respectively, which are embedded in the waveguide. To this end, I utilise numerical techniques and consider all model systems within the rotating wave approximation. I investigate the dynamics of single-photon scattering by single, embedded 3LS. In doing so, I analyse the influence of dark and almost-dark states of the 3LS on the scattering dynamics. I also show, how stationary electrical driving fields can control the outcome of the scattering. I quantify entanglement between the waveguide''s light field and single emitters by utilising the Schmidt decomposition. I apply this formalism to a lambda-system embedded in a 1D waveguide and study the generation of entanglement by scattering single-photon pulses with different envelopes on the emitter. I show that this entanglement generation is mainly determined by the photon''s width in k-space and the 3LS''s emission times. Finally, I explore the emission dynamics of a pair of 2LS embedded by a distance L into the waveguide. These dynamics are primarily governed by bound states in the continuum and by polaritonic atom-photon bound-states. For collective emission processes of the two 2LS, sub- and superradiance appear and depend strongly on the 2LS''s distance: the effects increase for larger L. This is an exclusive property of the 1D nature of the waveguide.
406

Relative number squeezing in a Spin-1 Bose-Einstein condensate

Bookjans, Eva M. 15 November 2010 (has links)
The quantum properties of matter waves, in particular quantum correlations and entanglement are an important frontier in atom optics with applications in quantum metrology and quantum information. In this thesis, we report the first observation of sub-Poissonian fluctuations in the magnetization of a spinor 87Rb condensate. The fluctuations in the magnetization are reduced up to 10 dB below the classical shot noise limit. This relative number squeezing is indicative of the predicted pair-correlations in a spinor condensate and lay the foundation for future experiments involving spin-squeezing and entanglement measurements. We have investigated the limits of the imaging techniques used in our lab, absorption and fluorescence imaging, and have developed the capability to measure atoms numbers with an uncertainly < 10 atoms. Condensates as small as ≈ 10 atoms were imaged and the measured fluctuations agree well with the theoretical predictions. Furthermore, we implement a reliable calibration method of our imaging system based on quantum projection noise measurements. We have resolved the individual lattice sites of a standing-wave potential created by a CO2 laser, which has a lattice spacing of 5.3 µm. Using microwaves, we site-selectively address and manipulate the condensate and therefore demonstrate the ability to perturb the lattice condensate of a local level. Interference between condensates in adjacent lattice sites and lattice sites separated by a lattice site are observed.
407

A quantum dot in a photonic wire : spectroscopy and optomechanics / Une boite quantique dans un fil photonique : spectroscopie et optomécanique

Yeo, Inah 24 October 2012 (has links)
Dans cette thèse, nous avons étudié les propriétés optiques de boîtes quantiques InAs/GaAs contenues dans un fil photonique. Des résultats antérieurs à cette thèse ont montré que ces fils photoniques permettent d’extraire les photons avec une efficacité très élevée.Le premier résultat original de ce travail est l’observation de la dérive temporelle de la raie d’émission de la photoluminescence d’une boîte quantique. Cet effet a été attribué à la lente modification de la charge de surface du fil due à l’absorption des molécules d’oxygène présentes dans le vide résiduel du cryostat. Nous avons montré qu’une fine couche de Si3N4 permettait de supprimer cette dérive. La dérive temporelle pouvant être différente pour différentes boites quantiques, nous avons pu tirer partie de cet effet pour mettre en résonance deux boites quantiques contenues dans le même fil.Le deuxième résultat original est la mise en évidence de la modification de l’énergie d’émission d’une boîte quantique soumise à une contrainte mécanique induite par la vibration du fil. Nous avons observé que le spectre de la raie d’émission d’une boîte quantique s’élargit considérablement lorsque le fil est mécaniquement excité à sa fréquence de résonance. A l’aide d’une illumination stroboscopique synchronisée avec l’excitation mécanique, nous avons pu reconstruire l’évolution du spectre d’une boîte quantique au cours d’une période de la vibration mécanique. L’amplitude de l’oscillation spectrale de la raie de luminescence dépend de la position de la boîte dans le fil à cause d’un très fort gradient de contrainte. En utilisant deux modes d’oscillation mécanique de polarisations linéaires et orthogonales, nous pouvons extraire une cartographie complète de la position des boîtes quantiques à l’intérieur du fil. Enfin, grâce à ce gradient, on peut, dans certains cas, trouver une position du fil pour laquelle deux boites quantiques peuvent être amenées en résonance. / In the framework of this thesis, single InAs/GaAs quantum dot devices were studied by optical means. Starting with a general description of self-assembled InAs QDs, two types of single QD devices were presented. The first approach was a tapered GaAs photonic wire embedding single InAs QDs whose efficiency as a single photon source was previously shown to be 90%. We investigated several optical properties of the single QDs. The charged and neutral states of the QD were identified and selectively excited using quasi-resonant excitation.The first original result of this thesis is the observation of a continuous temporal blue-drift of the QD emission energy. We attributed this blue drift to oxygen adsorption onto the sidewall of the wire, which modified the surface charge and hence the electric field seen by the QD. Moreover, we demonstrated that a proper coating of the GaAs photonic nanowire surface suppressed the drift. The temperature effect on this phenomenon revealed an adsorption peak around 20K, which corresponds to the adsorption of oxygen on GaAs. This observation is in good agreement with previous temperature studies with a tapered photonic wire. This was the first study of the spectral stability of photonic wires embedding QDs, crucial for resonant quantum optics experiments. As an alternative, we took advantage of this temporal drift to tune QD emission energies. In a controlled way, we tuned into resonance two different QDs which were embedded in the same photonic nanowire. In the last part of this work, we studied the influence of the stress on single QDs contained in a trumpet-like GaAs photonic wire. The main effect of stress is to shift the luminescence lines of a QD. We applied the stress by exciting mechanical vibration modes of the wire. When the wire is driven at its the mechanical resonance the time-integrated photoluminescence spectrum is broaden up to 1 meV owing to the oscillating stress, The measured spectral modulation is a first signature of strain-mediated coupling between a mechanical resonator and embedded QD single light emitter. With a stroboscopic technique, we isolated a certain phase of the oscillating wire and thereby selected a value of QD emission energies. As a highlight of our study, we managed to bring two different QDs contained in the same wire into resonance by controlling their relative phase. In addition, we could extract the 2D spatial positioning of embedded QDs from the spectral shifts observed for two orthogonal mechanical polarizations.. The investigation of the strain-mediated tuning of QDs can, therefore, be an effective tool to explore the QD positions without destroying the sample.
408

Synchronisation toute optique d’un réseau de communication quantique / All-optical synchronization for quantum networking

Bin Ngah, Lufti Arif 11 December 2015 (has links)
Ce manuscrit expose le développement de ressources fondamentales pour les communications quantiques à longues distances basées sur les technologies des fibres optiques télécoms et des guides d'onde optiques non linéaires. Après une introduction générale sur les communications quantiques, cette thèse est structurée en trois parties principales. La première partie illustre le développement de deux sources pour la génération de paires de photons intriqués en polarisation et émis à une longueur d'onde télécom via conversion paramétrique spontanée (SPDC) dans des guides d'ondes non linéaires intégrés sur niobate de lithium périodiquement polarisé. Les sources s'appuient respectivement sur un accord de phase de type-II et un accord de phase de type-0 et sur des solutions de filtrage et d'interférométrie mises en place après le cristal non linéaire. Dans la seconde partie, sont discutées les réalisations de deux sources de photons uniques annoncés haut débit. La première s'appuie sur le multiplexage spatial sur puce de photons uniques annoncés. La seconde exploite le multiplexage temporel passif grâce à l'utilisation d'un laser télécom cadencé à 10 GHz. Enfin, nous présentons une approche tout-optique visant la synchronisation de sources distantes de paires de photons intriqués, agencées selon une architecture de type relais quantique distribué. Cette technique innovante repose sur l'utilisation d'un laser télécom impulsionnel en tant qu'horloge optique de référence. Cette horloge autorise la synchronisation de l'émission de paires de photons dans la bande C des télécoms en deux lieux distants. Des résultats préliminaires d'interférence à deux photons sont montrés et discutés. / This manuscript reports the development of fundamental resources for long distance quantum communication based on fibre telecom technology and non-linear optical waveguides. After a general introduction on quantum communication, the thesis is structured along three parts. The first part illustrates the development of two photonic polarization entanglement sources suitable for quantum networking. Both sources generate paired photons at telecom wavelength via spontaneous parametric down conversion (SPDC) in periodically poled lithium niobate waveguides (PPLN/W). They rely on type-II and type 0 phase matching, respectively. In the second part, two high quality heralded single photon sources are highlighted. The first one relies on on-chip generation and spatial multiplexing of heralded single photons towards achieving higher bit rates. The second one takes advantage of passive temporal multiplexing of a single SPDC process. Finally, an all-optical approach towards efficient and accurate synchronization of remote entangled photon pair sources within quantum relay architecture over long distances is presented. This particular synchronization technique highlights the use of ultra-fast picosecond pulsed telecom fiber laser, operating at 2.5 GHz repetition rate, acting as a master optical clock, enabling to accurately synchronize the emission of photon pairs in the telecom C-band of wavelengths at two remote locations. This innovative approach is applied for synchronizing two remote PLLN/W based sources operated at 2.5 GHz, and preliminary results on two-photon interference obtained with single photons coming from each source are shown and discussed.
409

Triply-Resonant Cavity-Enhanced Spontaneous Parametric Down-Conversion

Ahlrichs, Andreas 22 July 2019 (has links)
Die verlässliche Erzeugung einzelner Photonen mit wohldefinierten Eigenschaften in allen Freiheitsgraden ist entscheidend für die Entwicklung photonischer Quantentechnologien. Derzeit basieren die wichtigsten Einzelphotonenquellen auf dem Prozess der spontanen parameterischen Fluoreszenz (SPF), bei dem ein Pumpphoton in einem nichtlinearen Medium spontan in ein Paar aus Signal und Idlerphotonen zerfällt. Resonator-überhöhte SPF, also das Plazieren des nichtlinearen Mediums in einem optischen Resonator, ist ein weit verbreitetes Verfahren, um Einzelphotonenquellen mit erhöhter Helligkeit und angepassten spektralen Eigenschaften zu konstruieren. Das Anpassen der spektralen Eigenschaften durch gezielte Auswahl der Resonatoreigenschaften ist besonders für hybride Quantentechnologienvon Bedeutung, welche darauf abzielen, unterschiedliche Quntensysteme so zu kombinieren, dass sich deren Vorteile ergänzen. Diese Arbeit stellt eine umfassende theoretische und experimentelle Analyse der dreifach resonanten SPF vor. Das aus der Literatur bekannte theoretische Modell wird diesbezüglich verbessert, dass der Einfluss sämtlicher Eigenschaften des Resonators auf die wichtigen experimentellen Größen (z.B. die Erzeugungsrate) gezielt ausgewertet werden kann. Dieses verbesserte und hoch genaue Modell stellt eine wichtige Grundlage für die Entwicklung und Optimierung neuartiger Photonenpaarquellen dar. Im experimentellen Teil dieser Arbeit wird der Aufbau und die Charakterisierung einer dreifach resonanten Photonenpaarquellen präsentiert. Die neu entwickelte digitale Regelelektronik sowie ein hochstabiler, schmalbandiger Monochromator welcher auf monolitischen, polarisationsunabhängigen Fabry-Pérot Resonatoren basiert, werden vorgestellt. Indem diese temperaturstabilisierten Resonatoren als Spetrumanalysator verwendet werden, wird zum ersten Mal die Frequenzkammstruktur des Spektrums der erzeugten Signal- und Idlerphotonen nachgewiesen. Des Weiteren wird der Einfluss der Pumpresonanz auf die Korrelationsfunktion und die Zweiphotoneninterferenz von Signal- und Idlerphotonen simuliert und vermessen. Abschließend werden Experimente aus dem Bereich der hybriden Quantennetzwerke präsentiert, in welchen Quantenfrequenzkonversion verwendet wird um die erzeugten Signalphotonen in das Telekommunikationsband zu transferieren. Dabei wird nachgewiesen, dass das temporale Wellenpaket durch die Konversion nicht beeinflusst wird und aufgezeigt, wie Quantennetzwerke von kommerziellen Telekommunikationstechnologien profitieren können. / The consistent generation of single photons with well-defined properties in all degrees of freedom is crucial for the development of photonic quantum technologies. Today, the most prominent sources of single photons are based on the process of spontaneous parametric down-conversion (SPDC) where a pump photon spontaneously decays into a pair of signal and idler photons inside a nonlinear medium. Cavity-enhanced SPDC, i.e., placing the nonlinear medium inside an optical cavity, is widely used to build photon-pair sources with increased brightness and tailored spectral properties. This spectral tailoring by selective adjustment of the cavity parameters is of particular importance for hybrid quantum technologies which seek to combine dissimilar quantum systems in a way that their advantages complement each other. This thesis provides a comprehensive theoretical and experimental analysis of triply-resonant cavity-enhanced SPDC. We improve the theoretical model found in the literature such that the influence of all resonator properties on the important experimental parameters (e.g., the generation rate) can be analyzed in detail. This convenient and highly accurate model of cavity-enhanced SPDC represents an important basis for the design and optimization of novel photonpair sources. The experimental part of this thesis presents the setup and characterization of a triply-resonant photon-pair source. We describe the digital control system used to operate this source over days without manual intervention, and we present a highly stable, narrow-linewidth monochromator based on cascaded, polarization-independent monolithic Fabry-Pérot cavities. Utilizing these temperature-stabilized cavities as a spectrum analyzer, we verify, for the first time, the frequency comb spectral structure of photons generated by cavity-enhanced SPDC. We further simulate and measure the impact of the pump resonance on the temporal wave-packets and the two-photon interference of signal and idler photons. Finally, we present a series of experiments in the context of hybrid quantum networks where we employ quantum frequency conversion (QFC) to transfer the generated signal photons into the telecommunication band. We verify the preservation of the temporal wave-packet upon QFC and highlight how quantum networks can benefit from advanced commercial telecommunication technologies.
410

Characterization and Stabilization of Transverse Spatial Modes of Light in Few-Mode Optical Fibers

Pihl, Oscar January 2023 (has links)
With the growing need for secure and high-capacity communications, innovative solutions are needed to meet the demands of tomorrow. One such innovation is to make use of the still unutilized spatial dimension of light in communications, which has promising applications in both enabling higher data traffic as well as the security protocols of the future in quantum communications. The perhaps most promising way of realizing this technology is through spatial division multiplexing (SDM) in optical fibers. There are many challenges and open questions in implementing this, such as how perturbations to the signal should be kept under control and which type of optical fiber to use. Consequently, this thesis focuses on the implementation of SDM in few-mode fibers where the perturbation effects on the spatial distribution have been investigated. Following this investigation, an implementation of adaptive spatial mode control using a motorized polarization controller has been implemented. The mode control has been done with the focus on having relevance for quantum technology applications such as Quantum Key Distribution (QKD) and quantum random number generation (QRNG) but also for spatial division multiplexing (SDM) for general communications. For this reason, two evaluation metrics have been optimized for: extinction ratio and equal amplitude. The control algorithm used is an adaptation of the optimization algorithm Stochastic Parallel Gradient Descent (SPGD). Control has been achieved in stabilizing the extinction ratio of LP11a and LP11b over 12 hours with an average extinction ratio of 98 %. Additionally, equal amplitude between LP11a and LP11b has been achieved over 1 hour with an average relative difference of 0.42 % and 0.45 %. Out of the perturbation effects investigated; temperature caused large disturbances to the signal which later is corrected for with the implemented algorithm.

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