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The SPECIFIC method a fast and accurate method for generating shaped femtosecond laser pulses. The femtosecond pulses are user specified from pulse parameters in the temporal domain. The measured spectral and recovered temporal phase and amplitudes from SEA TADPOLE are compared with the theoretical pulse profile from the user specified input. The SPECIFIC method has been shown to be a technique that can generate a diverse array of spectral/temporal phase and amplitude as well as polarization pulse shapes for numerous scientific applications. The spatio -temporal -spectral properties of focusing femtosecond laser pulses are studied for several pulse shapes that are important for non-linear spectroscopic studies. We have shown with scanning SEA TADPOLE that the spatio-spectral phase of focusing double pulse profile changes across the laterally across the beam profile. The spectral features of the sinusoidal spectral phase shaped pulse has been shown to tilt at with a changing angle away from the focus of the lens. Using spatio-spectral coupling, we have shown that multiple spatio-temporal foci can be generated along and perpendicular to the focusing direction of a femtosecond laser pulse. The spatial position of the spatio-temporal foci is controlled optically. Using sinusoidal spectral phase modulated pulse trains fragment ion production from Benzonitrile parent molecule can be controlled. A spectral transmission window perturbed the temporal pulse amplitudes resulting in fragment ion production dependant on spectral window position. The spectral window ion production was shown to also be dependant on temporal phase sequence. / Chemistry

Optical coherent techniques are used to eliminate the power fading found in optical subcarrier multiplexed systems. In a double-side band optical subcarrier system the signal experiences a periodic power fading that is dependent on the fiber dispersion and subcarrier frequency. This power fading is manifested during the direct detection of the subcarrier system using a square-law photodetector. Using a modified optical local oscillator to coherently detect the subcarrier channel this power fading can be eliminated. An optical local oscillator is centered at the optical carrier in order to perform homodyne detection. However, the local oscillator is modulated by a term equal the subcarrier frequency of interest. This is then a dual-frequency optical local oscillator. By controlling the phases of the local oscillator and the local subcarrier oscillator independently in the homodyne detection scheme, both the phase error and power fading of the detected subcarrier channel can be eliminated. This technique also allows the subcarrier to be selected optically, before the optical-to-electrical conversion. Analytical and simulation results are given to show the benefits of optical coherent detection in double-sideband subcarrier systems. By eliminating the periodic power loss found in the double-sideband subcarrier system the signal becomes dispersion limited and not power limited. A comparison of double-sideband and single-sideband subcarrier systems is presented. Multiple subcarriers and subcarrier spacing are also investigated for both double sideband and single sideband subcarrier systems. Optical phase and modulator noise are also considered in the analysis and simulation of coherent detection using a dual frequency optical local oscillator. Since the implementation used to eliminate the power fading is a phase correction based process, the phase noise of both the source and local oscillator lasers must be considered and the technique compared to typical direct and coherent detection techniques. Also, the effects of modulator nonlinearity are simulated for multichannel subcarrier multiplexed systems and comparisons made between the performance of using the dual-frequency local oscillator and typical detection techniques. It is shown that the advantages of the dual-frequency LO are retained in the presence of both phase noise and modulator nonlinearity. / Ph. D.

Plasmonic nanostructures are considered promising candidates for essential components of integrated quantum technologies because of their ability to efficiently localize broad-band electromagnetic fields on the nanoscale. The resulting local near field can be understood as a spatial superposition of spectrally different plasmon-polariton modes due to the spectrally broad optical excitation, and thus can be described as a classical wave packet. Since plasmon polaritons, in turn, can transmit and receive non-classical light states, the exciting question arises to what extent they have to be described as quantum mechanical wave packets, i.e. as a superposition of different quantum states. But how to probe, characterize and eventually manipulate the quantum state of such plasmon polaritons? Up to now, probing at room temperatures relied completely on analyzing quantum optical properties of the corresponding in-going and out-going far-field photon modes. However, these methods so far only allow a rather indirect investigation of the plasmon-polariton quantum state by means of transfer into photons. Moreover, these indirect methods lack spatial resolution and therefore do not provide on-site access to the plasmon-polariton quantum state. However, since the spectroscopic method of coherent two-dimensional (2D) nanoscopy offers the capability to follow the plasmon- polariton quantum state both in Hilbert space and in space and time domain a complete characterization of the plasmon polariton is possible. In this thesis a versatile coherent 2D nanoscopy setup is presented combining spectral tunability and femtosecond time resolution with spatial resolution on the nanometer scale due to the detection of optically excited nonlinear emitted electrons via photoemission electron microscopy (PEEM). Optical excitation by amplitude- and phase-shaped, systematically-modified and interferometric-stable multipulse sequences is realized, and characterized via Fourier-transform spectral interferometry (FTSI). This linear technique enables efficient data acquisition in parallel to a simultaneously performed experiment. The full electric-field reconstruction of every generated multipulse sequence is used to analyze the effect of non-ideal pulse sequences on the two-dimensional spectral data of population-based multidimensional spectroscopy methods like, e.g., the coherent 2D nanoscopy applied in this thesis. Investigation of the spatially-resolved nonlinear electron emission yield from plasmonic gold nanoresonators by coherent 2D nanoscopy requires a quasi-particle treatment of the addressed plasmon-polariton mode and development of a quantum model to adequately describe the plasmon-assisted multi-quantum electron emission from nanostructures. Good agreement between simulated and experimental data enables to connect certain spectral features to superpositions of non-adjacent plasmon-polariton quantum states, i.e, non-adjacent occupation-number states of the underlying quantized, harmonic oscillator, thus direct probing of the plasmon-polariton quantum wave packet at the location of the nanostructure. This is a necessary step to locally control and manipulate the plasmon-polariton quantum state and thus of general interest for the realization of nanoscale quantum optical devices. / Plasmonische Nanostrukturen gelten als vielversprechende Kanditaten für wesentliche Bestandteile integrierter Quantentechnologien, da sie in der Lage sind, breitbandige elektromagnetische Felder auf der Nanoskala effizient zu lokalisieren. Durch die spektral breitbandige optische Anregung kann das so erzeugte lokale Nahfeld als räumliche Überlagerung von spektral verschiedenen Plasmon-Polariton Moden aufgefasst und daher als klassisches Wellenpaket beschrieben werden. Da Plasmon-Polaritonen wiederum nichtklassische Lichtzustände übertragen und erhalten können, stellt sich allerdings die spannende Frage, inwieweit man sie als quantenmechanische Wellenpakete, sprich eine Superposition von unterschiedlichen Quantenzuständen, beschreiben muss. Doch wie lässt sich der Quantenzustand solcher Plasmon-Polaritonen untersuchen, charakterisieren und schließlich manipulieren? Bislang beruhte die Untersuchung bei Raumtemperatur vollständig auf der Analyse der quantenoptischen Eigenschaften der entsprechenden ein- und ausgehenden Fernfeld-Photonenmoden. Diese Methoden erlauben allerdings bisher nur eine eher indirekte Untersuchung des Plasmonen-Polaritonen-Quantenzustands mittels Überführung in Photonen. Darüber hinaus mangelt es diesen indirekten Methoden an räumlicher Auflösung und sie bieten daher keinen Zugang zum Plasmonen-Polaritonen-Quantenzustand am Ort der Nanostruktur. Die spektroskopische Methode der kohärenten 2D-Nanoskopie bietet allerdings die Möglichkeit, den Plasmon-Polariton-Quantenzustand sowohl im Hilbert-Raum als auch im Raum- und Zeitbereich zu verfolgen, wodurch eine vollständige Charakterisierung des Plasmon-Polaritons möglich ist. In dieser Arbeit wird ein vielseitiger experimenteller Aufbau zur kohärenten zweidimensionalen (2D)-Nanoskopie vorgestellt, der spektrale Durchstimmbarkeit und Femtosekunden-Zeitauflösung mit räumlicher Auflösung auf der Nanometerskala durch den Nachweis optisch angeregter nichtlinear-emittierter Elektronen mittels Photoemissionselektronenmikroskopie (PEEM) kombiniert. Die optische Anregung durch amplituden- und phasengeformte, systematisch modifizierte und interferometrisch stabile Multipulssequenzen wird realisiert und über Fouriertransformierte Spektrale Interferenz (FTSI) charakterisiert. Diese lineare Technik ermöglicht eine effiziente Datenerfassung parallel zu einem gleichzeitig durchgeführten Experiment. Die vollständige Rekonstruktion des elektrischen Feldes jeder erzeugten Multipulssequenz wird verwendet, um die Auswirkung nicht-idealer Pulssequenzen auf die zweidimensionalen Spektraldaten von populationsbasierten multidimensionalen Spektroskopiemethoden, wie beispielsweise der in dieser Arbeit verwendeten kohärenter 2D-Nanoskopie, zu analysieren. Die Untersuchung der räumlich aufgelösten nichtlinearen Elektronenemissionsausbeute von plasmonischen Gold-Nanoresonatoren durch kohärente 2D-Nanoskopie erfordert eine Quasiteilchen-Behandlung der angesprochenen Plasmon-Polariton-Mode und die Entwicklung eines Quantenmodells, um die plasmonenunterstützte Multiquanten-Elektronenemission von Nanostrukturen korrekt zu beschreiben. Die gute Übereinstimmung zwischen simulierten und experimentellen Daten ermöglicht es, bestimmte spektrale Merkmale mit Überlagerungen von nicht-benachbarten Plasmon-Polariton-Quantenzuständen, sprich nicht-benachbarter Besetzungszahlzustände des zugrunde liegenden quantisierten, harmonischen Oszillators, in Verbindung zu bringen und so direkt das Plasmon-Polariton-Quantenwellenpaket am Ort der Nanostruktur zu untersuchen. Dies ist ein notwendiger Schritt, um den Plasmon-Polariton-Quantenzustand lokal zu kontrollieren und zu manipulieren, und somit von allgemeinem Interesse für die Realisierung von quantenoptischen Geräten im Nanomaßstab.

Wind speed data of multi-heights have been examined to investigate the spatial and temporal characteristics of coherent structures in the near neutral marine atmospheric surface layer. With Taylor's hypothesis, the temporal velocity signals have been transformed to spatial fluctuations and then visualize these spatial velocity fluctuations to identify the coherent structures. It has been confirmed that there exist similar coherent structures in the marine atmospheric surface layer to those in laboratory turbulent boundary layer. These similar coherent structures include ejections, sweeps, shear layers, transverse vortices, and combined events of the shear layers and transverse vortices. Besides these similar coherent structures, there exist the plume and downdraft motions in the unstable marine atmospheric surface layer. It has been observed that the streamwise spatial length of the ejections and sweeps is 20-250 m and their mean frequency is of order of 0.01-0.001 /s at mean wind speed of 5-12.6 m/s. Between the region of the upstream ejection and downstream sweep motions an inclined shear layer is often seen. The inclined angle of the shear layer has been observed to vary from 30 to 70 degree with the height and length of the the shear layer. The transverse vortices are seen to exist in every region from the wall up to a height of 45 m and their diameter is up to 40 m. The mean frequency of the shear layers and the transverse vortices is of order of 0.001 /s. In the fully developed stage of the combined event of the shear layer and transverse vortex, the shear layer is generally longer and the diameter of the transverse vortex is larger. The mean frequency of the combined event of the shear layers and the transverse vortices is of order of 0.001 /s. The streamwise spatial length of the plume and downdraft motions is generally from 20 m to 50 m. Analysis indicates that the mean wind speed is a dominant factor in affecting the spatial and temporal characteristics of the coherent structures in the near neutral marine atmospheric surface layer. As the mean wind speed increases, the frequency of the shear related coherent events will increase, while the frequency of the buoyancy related coherent events (plumes and downdrafts) will decrease. The temperature difference between higher level of the surface layer and sea surface is the second main factor in affecting the spatial and temporal characteristics of the coherent structures. As the marine atmospheric surface layer becomes more stable the coherent motions will be suppressed. The effect of the temperature difference on the buoyancy related plume and downdraft motions is more evident than on the other shear related coherent motions. / Master of Science

Yes / Coherent subspaces spanned by a finite number of coherent states are introduced, in a quantum system with Hilbert space that has odd prime dimension d. The set of all coherent subspaces is partitioned into equivalence classes, with d 2 subspaces in each class. The corresponding coherent projectors within an equivalence class, have the 'closure under displacements property' and also resolve the identity. Different equivalence classes provide different granularisation of the Hilbert space, and they form a partial order 'coarser' (and 'finer'). In the case of a two-dimensional coherent subspace spanned by two coherent states, the corresponding projector (of rank 2) is different than the sum of the two projectors to the subspaces related to each of the two coherent states. We quantify this with 'non-addditivity operators' which are a measure of quantum interference in phase space, and also of the non-commutativity of the projectors. Generalized Q and P functions of density matrices, which are based on coherent projectors in a given equivalence class, are introduced. Analogues of the Lorenz values and the Gini index (which are popular quantities in mathematical economics) are used here to quantify the inequality in the distribution of the Q function of a quantum state, within the granular structure of the Hilbert space. A comparison is made between Lorenz values and the Gini index for the cases of coarse and also fine granularisation of the Hilbert space. Lorenz values require an ordering of the d 2 values of the Q function of a density matrix, and this leads to the ranking permutation of a density matrix, and to comonotonic density matrices (which have the same ranking permutation). The Lorenz values are a superadditive function and the Gini index is a subadditive function (they are both additive quantities for comonotonic density matrices). Various examples demonstrate these ideas.

International Telemetering Conference Proceedings / October 22-25, 2001 / Riviera Hotel and Convention Center, Las Vegas, Nevada / This paper introduces two transponders combining coherent transponding and non-coherent transponding for multistatic trajectory measurement system and carrier Doppler frequency extraction principle, then derives each model of the velocity error for noise. The expressions of velocity error resulted by noise in coherent, IF-modulated and IF transform transponding configurations are also described. The conclusion is drawn: the system velocity error for noise is related to the transponder transponding configuration. And, the velocity error in coherent, IF-modulated and IF transform transponding configurations are compared in this paper.

ITC/USA 2011 Conference Proceedings / The Forty-Seventh Annual International Telemetering Conference and Technical Exhibition / October 24-27, 2011 / Bally's Las Vegas, Las Vegas, Nevada / Multi-H Continuous Phase Modulation is a highly bandwidth efficient constant amplitude modulation scheme. Because of these qualities it was selected as the Advanced Range Telemetry (ARTM) tier II waveform. In the past, two demodulation techniques have widely been proposed, coherent detection and non-coherent detection. This paper presents a receiver design that implements a hybrid, partially coherent detection scheme that takes advantage of the positive aspects of both coherent and non-coherent detection. Because complete phase recovery is not required, the hybrid receiver performs better in environments with fast fading, strong phase noise, and multi path when compared to the traditional coherent receiver. The hybrid receiver can also acquire and reacquire signals much faster than conventional coherent receivers. The hybrid receiver design implements a partial carrier detection scheme that utilizes phase information that performs much better in AWGN environments than typical non-coherent receivers. Simulation results show that the hybrid receiver has low implementation loss compared to the optimal Maximum Likelihood Sequence Estimation (MLSE) receiver.