Magnetron is a crossed-field vacuum tube and has found applications in many fields where high power microwave is required, such as meteorological radar, marine navigation, particle accelerator and domestic and industrial heating. When the operating frequencies are in millimetre-wave/THz band, conventional magnetrons show an inherent limitation due to complex small structure, short life time and intense magnetic field. Recently, the Spatial Harmonic Magnetron (SHM) has been proved to be an effective alternative to conventional magnetron for millimetre-wave/THz applications with the advantages of simple anode structure, sufficient life time, low voltage and magnetic field. However, the physics of the operation of SHM have not been adequately understood. In this thesis, considerable insight into the SHM operation has been obtained based on the 3-D particle simulation and experiment. The investigation of a 16-vane SHM operating in the π/2-1 mode at 35GHz reveals that the cathode current mainly depends on the electron secondary emission from the cold cathode rather than the injection current from the side cathode. The smaller secondary emission coefficient causes noisy output spectrum and low output power. When the secondary emission coefficient reduces below a threshold value, the oscillation cannot start. The transient behaviour shows that the neighbouring modes compete with the working mode. The particle-in-cell (PIC) simulation of a π/2 SHM demonstrates that the oscillation could jump from the working mode to its neighbouring mode with a slight change of the anode voltage. The simulated performance on a compact 95 GHz SHM is in a good agreement with the measured one. A number of engineering issues, such as the pulse duration, the anode temperature and vacuum break down have been considered for the SHM to deliver more than 5kW peak power with 200ns pulse in 0.05% duty cycle. The quality of output signal pulses assessed in the experiment indicates that this SHM can be effectively used for the development of low cost W-band cloud radar. There are a number of technical challenges in designing and fabricating THz-band SHMs with good performance, such as fabrication of a large number of cavities and the cold cathode. The modelling of a 40-vane 209 GHz SHM operating on the π/2-1 mode and the measurement on fabricated anode cavity indicates that the fabrication tolerance should be taken into account in the design of a high frequency SHM. Based on the analysis on a 44-cavity anode, the π/2-3 mode is chosen to improve the mode stability. The PIC simulation indicates that such magnetrons can deliver at least 0.6 kW peak power at a frequency above 300GHz.

Yung Man Hong = 受歐姆阻尼振子和光學系統內的彼德曼因數及費曼圖展開 / 翁文康. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 95-99). / Text in English; abstracts in English and Chinese. / Yung Man Hong = Shou ou mu zu ni zhen zi he guang xue xi tong nei de Bideman yin shu ji Feiman tu zhan kai / Weng Wenkang. / Acknowledgement --- p.iii / Chapter 1 --- Overview --- p.1 / Chapter 1.1 --- The Langevin Equation --- p.1 / Chapter 1.2 --- Excess Noise in Lasers --- p.4 / Chapter 1.3 --- Non-orthogonality --- p.9 / Chapter 2 --- Bilinear Map and Eigenvector Expansion --- p.12 / Chapter 2.1 --- Introduction --- p.12 / Chapter 2.2 --- Mathematical Formalism --- p.14 / Chapter 2.3 --- Criticality and Divergence --- p.19 / Chapter 2.4 --- Perturbations and Cancellations --- p.25 / Chapter 3 --- Generalized Petermann Factor --- p.34 / Chapter 3.1 --- Introduction --- p.34 / Chapter 3.2 --- Petermann Factor in Optical Systems --- p.36 / Chapter 3.3 --- Generalized Petermann Factor --- p.41 / Chapter 3.4 --- Thermal Correlation Functions --- p.43 / Chapter 3.5 --- Fluctuation-Dissipation Theorem --- p.46 / Chapter 3.6 --- Weak Damping versus Near-Degeneracy --- p.49 / Chapter 4 --- Continuum Generalization --- p.56 / Chapter 4.1 --- Bilinear map --- p.56 / Chapter 4.2 --- Critical Points --- p.58 / Chapter 4.3 --- Semiclassical Laser Theory --- p.63 / Chapter 5 --- Diagrammatic Expansions --- p.71 / Chapter 5.1 --- Introduction --- p.71 / Chapter 5.2 --- Nonlinearly Coupled Oscillators --- p.72 / Chapter 5.3 --- Path Integral Method --- p.76 / Chapter 5.4 --- Feynman Diagram --- p.81 / Chapter 6 --- Conclusion --- p.87 / Chapter A --- Derivation of the Langevin equation --- p.89

This thesis is about computational theory in the setting of the mathematics of information. The first goal is to demonstrate that many commonly considered problems in optimisation theory cannot be solved with an algorithm if the input data is only known up to an arbitrarily small error (modelling the fact that most real numbers are not expressible to infinite precision with a floating point based computational device). This includes computing the minimisers to basis pursuit, linear programming, lasso and image deblurring as well as finding an optimal neural network given training data. These results are somewhat paradoxical given the success that existing algorithms exhibit when tackling these problems with real world datasets and a substantial portion of this thesis is dedicated to explaining the apparent disparity, particularly in the context of compressed sensing. To do so requires the introduction of a variety of new concepts, including that of a breakdown epsilon, which may have broader applicability to computational problems outside of the ones central to this thesis. We conclude with a discussion on future research directions opened up by this work.

An accurate, intuitive and tractable transform as been identified and developed from which the spatial harmonics of reticle patterns defined in polar coordinates can be obtained. A description of reticles and generic methods for describing them mathematically are presented along with some background on general harmonic analysis. Focus then turns to candidate transforms for analysis of reticle patterns and the most promising are investigated in more detail. A fast linear algorithm is devised to overcome some problems with implementation of a fast transform and this is followed by analysis of the transform basis functions to assist with interpretation of the transform in azimuth and radius. A sampling guideline is presented so that aliasing can be avoided and, finally, the transforms of some representative reticle patterns are shown along with some insight into their interpretation. The transformations presented provide a first step toward raising the resolution and harmonic content required in simulation image scenes that will ultimately result in optimal use of computing resources for the simulation of reticle seekers. / thesis (MSc(AppliedPhysics))--University of South Australia, 2005.

A large part of the structure of the objects in the theory of Dooley and Wildberger [Funktsional. Anal. I Prilozhen. 27 (1993), no. 1, 25-32] and that of Rouviere [Compositio Math. 73 (1990), no. 3, 241-270] can be described by considering a connected, finite-dimentional symmetric space G/H (as defined by Rouviere), with ???exponential map???, Exp, from L G/L H to G/H, an action, ???: K ??? Aut??(G) (where Aut?? (G) is the projection onto G/H of all the automorphisms of G which leave H invariant), of a Lie group, K, on G/H and the corresponding action, ???# , of K on L G/L H defined by g ??? L (???g), along with a quadruple (s, E, j, E#), where s is a ???# - invariant, open neighbourhood of 0 in L G/L H, E is a test-function subspace of C??? (Exp s), j ?? C??? (s), and E# is a test-function subspace of C??? (s) which contains { j.f Exp: f ?? E }. Of interest is the question: Is the function ???: ?? ??? ????, where ??: f ??? j.f Exp, a local associative algebra homomorphism from F# with multiplication defined via convolution with respect to a function e: s x s ??? C, to F, with the usual convolution for its multiplication (where F is the space of all ??? - invariant distributions of E and F# is the space of all ???# - invariant distributions of E#)? For this system of objects, we can show that, to some extent, the choice of the function j is not critical, for it can be ???absorbed??? into the function e. Also, when K is compact, we can show that ??? ker ?? = { f ?? E : ???k f (???g) dg = 0}. These results turn out to be very useful for calculations on s2 ??? G/H, where G = SO(3) and H??? SO(3) with H ??? SO(2) with ??? : h ??? Lh, as we can use these results to show that there is no quadruple (s, E, j, E#) for SO(3)/H with j analytic in some neighbourhood of 0 such that ??? is a local homomorphism from F# to F. Moreover, we can show that there is more than one solution for the case where s, E and E# are as chosen by Rouviere, if e is does not have to satisfy e(??,??) = e(??,??).

<p>Second harmonic generation (SHG) is a nonlinear optical effect sensitive to interfaces between materials with inversion symmetry. It is used as an effective tool for detection of the adsorption of a substance to microscopic particles, cells, liposomes, emulsions and similar structures, surface analysis and characterization of microparticles. The scattered second harmonic (SH) intensity from surfaces of suspended microparticles is characterized by its complex angular distribution dependence on the shape, size, and physical and chemical properties of the molecules making up the outer layer of the particles. In particular, the overall scattered SH intensity has been predicted to have a dramatic and nontrivial dependence on the particle size.</p><p>Results are reported for aqueous suspensions of polystyrene microspheres with different dye molecules adsorbed on their surfaces. They indicate that the scattered SH power has an oscillatory dependence on the particle size. It is also shown that adsorption of one of the dyes (malachite green) on polystyrene particles is strongly affected when SDS surfactants are added to the solution. For this system a rapid increase of the SH signal with increasing concentration of SDS was observed in the range of low SDS concentration.</p><p>Three different theoretical models are used to analyze the observed particle size dependence of SHG. The calculated angular and particle size dependences of the SH scattered power show that the models do not agree very well between each other when the size of the particles is of the order of the fundamental light wavelength, as here. One of the models - nonlinear Mie scattering - predicts oscillatory behaviour of the scattered SH power with the particle size, but fails to reproduce the position of the maxima and minima of the experimentally observed oscillations.</p><p>The obtained results on the size dependence of the SH can be used in all applications to increase the count rate by choosing particles of the size for which the SH efficiency was found to the highest. A new effect of cooperative malachite green and SDS interaction at the polystyrene surface can be employed, for example, in the areas of microbiology or biotechnology, where adsorption macromolecules, surfactants and dyes to polystyrene microparticles is widely used.</p>

Diamond-like semiconductors are interesting materials to study due to the wide variety of technologically useful properties that these materials possess. These normal valence compounds have structures that are based on that of diamond, either the cubic or hexagonal polymorph. Though there are a finite number of possible compounds, due to isovalent and isoelectronic principles, the total number of potential compounds is quite extensive. Quaternary diamond-like semiconductors provide a unique opportunity, because much of the previous research has focused on binary and ternary systems leaving quaternary systems, relatively unexplored. Additionally, quaternary diamond-like semiconductors possess a greater degree of compositional flexibility compared to binary and ternary materials, which could result in the ability to more carefully tune desired physical properties. &lt;br&gt;In order to prepare the new materials, Li2ZnGeS4, Li2ZnSnS4, Li2CdGeS4, Li2CdSnS4 and Ag2MnSnS4, several synthetic methods have been employed, including high-temperature solid-state synthesis, polychalcogenide flux synthesis and solid-state microwave synthesis. The solid-state microwave synthetic method was itself studied using a number of target systems such as the ternary diamond-like semiconductor, AgInSe2. Additionally, several intermetallic compounds, such as Ag3In, AuIn2 and Bi2Pd were prepared using this procedure. Solid-state microwave synthesis is not as well known as some of the other synthetic methods that were employed in this work possibly due to a lack of understanding of the method, training and equipment. Despite these problems, the method has the potential to save time, energy and cost due to the unique nature of microwave heating. In an attempt to gain a better understanding of this synthetic method and its capabilities, the solid-state microwave synthetic method was used to prepare diamond-like semiconductors and intermetallic compounds. / Bayer School of Natural and Environmental Sciences / Chemistry and Biochemistry / PhD / Dissertation

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In response to energy crisis and power quality concerns, three different methodologies to integrate the concept of active filtering into the alternators are proposed. Wind energy, due to its free availability and its clean and renewable character, ranks as the most promising renewable energy resource that could play a key role in solving the worldwide energy crisis. An Integrated Doubly-fed Electric Alternator/Active filter (IDEA) for wind energy conversion systems is proposed. The proposed IDEA is capable of simultaneous capturing maximum power of wind energy and improving power quality, which are achieved by canceling the most significant and troublesome harmonics of the utility grid and power factor correction and reactive power compensation in the grid. The back-to-back current regulated power converters are employed to excite the rotor of IDEA. The control strategy of rotor-side power converter is based on position sensoreless field oriented control method with higher power density. Analysis and experimental results are presented to demonstrate the effectiveness of the proposed IDEA. In next step, an integrated synchronous machine/active filter is discussed. The proposed technology is essentially a rotating synchronous machine with suitable modification to its field excitation circuit to allow dc and ac excitations. It is shown that by controlling the ac excitation, the 5th and 7th harmonics currents of the utility are compensated. The proposed method is cost effective because it can be applied to existing standby generators in commercial and industrial plants with minimal modification to the excitation circuits. To boost the gain of harmonic compensatory, an advanced electric machine is proposed. An Asymmetric Airgap Concentrated Winding Synchronous Machine (AACWSM) with ac and dc excitation was designed and employed. It is shown that the AACWSM with its unique design, in addition to power generation capability, could be used to compensate the most dominant current harmonics of the utility. The proposed AACWSM can compensate for the 5th and 7th harmonics currents in the grid by controlling the ac field excitation. In addition, the 11th and 13th harmonics currents are also significantly reduced. This system can be used at medium and low voltages for generation or motoring mode of operation.