Targeted imaging with microbubbles may resolve the molecular expression within the abnormal blood vessels of tumours. Optimal imaging requires understanding the interaction between targeted microbubbles and high-frequency ultrasound. Therefore, the subharmonic signal, and backscattering cross-section of individual bound microbubbles were examined with coaligned 30 MHz pulses and optical images. The peak subharmonic signal was generated for 1.6 µm diameter microbubbles for 20% and 11% bandwidth pulses and 1.8 µm for 45% bandwidth pulses at 200 kPa, consistent with estimations of the resonant size of microbubble's at 15 MHz. In order to measure the scattering cross-section, a new method was proposed to measure the receive transfer function of a transducer. Measurements of the backscattering cross-section scaled with the square of the radius, with signi cant size-independent variability. The results of this thesis will help optimise the parameters for targeted imaging, as well as further our understanding of the behaviour of microbubbles.

Targeted imaging with microbubbles may resolve the molecular expression within the abnormal blood vessels of tumours. Optimal imaging requires understanding the interaction between targeted microbubbles and high-frequency ultrasound. Therefore, the subharmonic signal, and backscattering cross-section of individual bound microbubbles were examined with coaligned 30 MHz pulses and optical images. The peak subharmonic signal was generated for 1.6 µm diameter microbubbles for 20% and 11% bandwidth pulses and 1.8 µm for 45% bandwidth pulses at 200 kPa, consistent with estimations of the resonant size of microbubble's at 15 MHz. In order to measure the scattering cross-section, a new method was proposed to measure the receive transfer function of a transducer. Measurements of the backscattering cross-section scaled with the square of the radius, with signi cant size-independent variability. The results of this thesis will help optimise the parameters for targeted imaging, as well as further our understanding of the behaviour of microbubbles.

No description available.

The transition from laminar to turbulent flow in boundary-layers occurs in three stages: onset of two-dimensional TS waves, onset of three-dimensional secondary disturbances of fundamental or subharmonic type, and onset of the turbulent regime. In free flight conditions, subharmonic disturbances are the most amplified. Recent modeling of the subharmonic disturbance as a parametric instability arising from the presence of a finite amplitude TS wave has given results in quantitative agreement with experiments conducted in a Blasius boundary-layer. The present work extends the analysis to the Falkner-Skan family of profiles, and develops a formulation for spatially growing disturbances to exactly match the experimental observations. Results show that subharmonic disturbances in Falkner-Skan flows behave similarly to those in a Blasius flow. The most noticeable effect of the pressure gradient is a decrease (favorable) or an increase (adverse) of the disturbance's growth rate. Due to the lack of experimental data, a comparison of subharmonic growth rates from theory and experiment is limited to the Blasius boundary-layer. A comparison of results from the spatial formulation with those previously obtained from a temporal formulation shows the difference to be small. A connection between disturbance growth in a separating boundary-layer profile and a free shear layer is presented. A modification of Caster's transformation from temporal to spatial growth rates for secondary disturbances is given. / M.S.

No description available.

This thesis explores the design and applications of subharmonic mixers in CMOS microwave integrated circuits. First, a 2x down-converting subharmonic mixer is demonstrated with a measured conversion gain of 8 dB using a 2.1 GHz RF signal. Extending the concept of the 2x subharmonic mixer, a 4x subharmonic mixer is proposed that operates in the 12 GHz Ku-band. This circuit is the first 4x subharmonic mixer in CMOS, and achieves a 6 dB conversion gain, which is the highest for any 4x subharmonic mixer regardless of circuit topology or fabrication technology. Furthermore, it achieves very high measured isolation between its ports (e.g. 4LO-RF: 59 dB). Since both the 2x and the 4x subharmonic mixers require a quadrature oscillator, a new oscillator circuit is presented that could be used with either of the aforementioned mixers. This quadrature oscillator uses active superharmonic coupling to establish the quadrature fundamental relationship. The oscillation frequency is 3.0 GHz and the measured output power is -6 dBm. A dual-band mixer/oscillator is also demonstrated that can operate as either a fundamental mixer or a subharmonic mixer depending on a control voltage. This circuit operates from 5.0 GHz to 6.0 GHz or from 9.8 GHz to 11.8 GHz by using either the fundamental output or the second harmonic output of the quadrature oscillator circuit described above and achieves conversion gain over both frequency bands. A novel frequency tripler circuit is presented based on a subharmonic mixer. This circuit uses the 2x subharmonic mixer discussed above, along with a feedforward fundamental cancellation circuit. The measured fundamental suppression is up to 30 dB and the conversion gain is up to 3 dB. Finally, a frequency divider circuit based on a subharmonic mixer is presented that divides the input signal frequency by a factor of three. This circuit uses a single-balanced version of the 2x subharmonic mixer described above in a regenerative divider topology. The measured input signal bandwidth is 300 MHz (5.2 GHz to 5.5 GHz) with an input power of -7 dBm and the maximum conversion gain is 0 dB. / Thesis (Ph.D, Electrical & Computer Engineering) -- Queen's University, 2009-03-24 16:08:31.805

No description available.

We investigate theoretically and experimentally the nonlinear responses of a clamped-clamped buckled beam to a variety of external harmonic excitations and internal resonances. We assume that the beam geometry is uniform and its material is homogeneous. We initially buckle the beam by an axial force beyond the critical load of the first buckling mode, and then we apply a transverse harmonic excitation that is uniform over its span. The beam is modeled according to the Euler-Bernoulli beam theory and small strains and moderate rotation approximations are assumed. We derive the equation of motion governing the nonlinear transverse planar vibrations and associated boundary conditions using the extended Hamilton's principle. The governing equation is a nonlinear integral-partial-differential equation in space and time that possesses quadratic and cubic nonlinearities. A closed-form solution for such equations is not available and hence we seek approximate solutions. We use perturbation methods to investigate the slow dynamics in the neighborhood of an equilibrium configuration. A Galerkin approximation is used to discretize the nonlinear partial-differential equation governing the beam's response and obtain a set of nonlinearly coupled ordinary-differential equations governing the time evolution of the response. We based our theory on a multi-mode Galerkin discretization. To investigate the large-amplitude dynamics, we use a shooting method to numerically integrate the discretized equations and obtain periodic orbits. The stability and bifurcations of these periodic orbits are investigated using Floquet theory. We solve the nonlinear buckling problem to determine the buckled configurations as a function of the applied axial load. We compare the static buckled configurations obtained from the discretized equations with the exact ones. We find out that the number of modes retained in the discretization has a significant effect on these static configurations. We consider three cases: primary resonance, subharmonic resonance of order one-half of the first vibration mode, and one-to-one internal resonance between the first and second modes. We obtain interesting dynamics, such as phase-locked and quasiperiodic motions, resulting from a Hopf bifurcation, snapthrough motions, and a sequence of period-doubling bifurcations leading to chaos. To validate our theoretical results, we ran an experiment, which is a modified version of the experiment designed by Kreider and Nayfeh. We find that the obtained theoretical results are in good qualitative agreement with the experimental results. In the case of one-to-one internal resonance, we report, theoretically and experimentally, energy transfer between the first mode, which is externally excited, and the second mode. / Ph. D.

No description available.

Thermoacoustic instabilities are a problem in modern pre-mixed combustors causing reduced performance and leading in the extreme to combustor failure from excessive pressure cycles. Much work has been done using linear controllers to eliminate these instabilities. Many experimenters in the field have used pulsed and subharmonic fuel controllers to eliminate these instabilities, but very little investigative work has been done on these controllers. The goal of this work is to explain the mechanism of control behind pulsed controllers. It is shown that the combustion system can be treated as a linear system, thus meaning that frequency components of the control signal at the desired instability frequency are the dominant means of control, with nonlinear effects only serving to slightly reduce the gain necessary for control. Fourier analysis is thus performed on pulsed signals and the components analyzed, showing that there will indeed be a component of a pulsed signal at the frequency of the instability, aside from a few select cases. It is then proven that this frequency component is largely responsible for control of the thermoacoustic system using proportional height pulse train signals, which will change pulse height based on the amplitude of the instability. This analysis is then used to predict the height of instabilities resulting from the use of fixed height pulse control signals. Finally, numerical simulations and experimental observations support the analytical constructs. Acoustic control is mainly used for these experiments, although some preliminary work with liquid fuel controllers is also presented. / Master of Science