Time reversal is a method often used to focus sound to a desired location, and works best in a reverberant environment. The effect of focus location within a reverberant environment is presented first, revealing that proximity to reflecting surfaces has a significant effect on the amplitude of the focus both experimentally and when using a modal summation model. These effects are a primary component to creating focus signals at high amplitudes. High-amplitude focusing experiments show that when multiple sources are used simultaneously to generate a focus, a peak amplitude pressure spike of 200 dB can be achieved in air. A pressure spike of this amplitude has multiple nonlinear characteristics, and an investigation into the spatiotemporal features and harmonic content of these signals was conducted. The peak amplitude of the focus signal also increases in amplitude nonlinearly as the loudspeaker volume is linearly increased. This nonlinear increase is the primary subject of investigation in this work. Experimental and computational methods are implemented in order to understand the mechanisms driving the nonlinear increases observed when the sources are combined acoustically as opposed to linear superposition of the contributions from each sound in post-processing. Finally, models of converging high-amplitude waves are generated using the k-Wave© package for MATLAB©. These show a similar nonlinear increase in amplitudes, supporting the hypothesis of a Mach wave coalescence. A COMSOL© finite element model allows visualization of the converging waves with Mach stems forming in free space to cause the nonlinear amplification.

Introduction: Functional motility disorders of the colon are poorly defined. Hence, patients with chronic colonic motor dysfunction are treated or undergo surgery without proper diagnosis. Most colonic motility assessment centers around the largest propagating motor pattern in the colon- the High Amplitude Propagating Pressure Wave (HAPW). However, there is no consensus regarding a definition of this important motor pattern. Additionally, no consideration is given to other aspects of colonic motility such as colo-ano-rectal coordination and control by the autonomic nervous system (ANS). The aim of this thesis was to improve understanding of HAPWs and other features of colonic motility in health and constipation, understand how autonomic dysfunction is related to observations in patients, and evaluate the effect of neuromodulation of the ANS. Methods: Motility was assessed in healthy volunteers and patients using water-perfused High Resolution Colonic Manometry (HRCM). To assess the association between ANS and colonic motor activity Heart Rate Variability (HRV) was measured in patients. Spatiotemporal maps were created using HRCM to analyse and quantify colonic motor activity following baseline, and interventions which included proximal balloon distention, meal, and rectal bisacodyl. Low-Level Light Therapy (LLLT) was also applied during HRCM as a method of neuromodulation, to observe its effect on colonic motility. Results: Normal HAPWs are those which have an amplitude of more than 50 mmHg and belong to one of 3 categories: proximally originating, proximal continuing, and transverse/descending. The best intervention sequence to generate these during HRCM assessment is baseline, proximal balloon distention, meal, rectal bisacodyl. Based on their responses to these interventions and the type of HAPWs present, patients could be classified into strong responder, weak responder and non-responder groups. Overall, patients in the strong responder group were most similar to healthy volunteers both with regard to motility and ANS control. Conversely, the weak and non-responders had showed decreased or no motility with decreased parasympathetic input and occasionally sympathetic inhibition. Additionally, other features of motility such as the sphincter of O'Beirne, and lack of colo-ano-rectal coordination were found to lead to constipation even in presence of normal HAPWs. LLLT shows promise in initiating colonic motor activity through neuromodulation of the sacral defecation center. Conclusions: HAPWs can be defined into one of three categories and used to categorize patients based on their HAPW response to different interventions. However, other aspects of colonic motility such as the colo-ano-rectal coordination and autonomic nervous system control of colonic motility should be taken into consideration in diagnosis of constipation, as they can point towards more non-invasive treatment methods such as neuromodulation using LLLT. / Thesis / Master of Science in Medical Sciences (MSMS)

Le contexte de ce travail repose sur l'étude des instabilités de combustion au sein des moteurs-fusées à propergols liquides. Cette étude se concentre sur les effets des champs acoustiques transverses de haute amplitude sur l'injection coaxiale en conditions non-réactives. La réponse acoustique du système d'injection est dépendante des propriétés locales du champ acoustique dans la cavité d'injection. La modification du processus d'atomisation, induit par le champ acoustique, a été analysée dans des configurations simples et multiinjection. Des expériences ont été menées pour des régimes d'atomisation de faibles et hauts nombres de Weber. Trois phénomènes ont été observés: un aplatissement du jet, une amélioration du processus d'atomisation et la déviation du système liquide. La combinaison de ces trois phénomènes en configuration multi-injection résulte en un phénomène de regroupement de gouttes. En présence de combustion, un tel regroupement pourraitmener à un dégagement de chaleur non-uniforme susceptible de déclencher ou d'entretenir des instabilités de combustion. Un modèle théorique basé sur les équations d'acoustique non-linéaire a été développé pour donner les expressions générales de pression de radiation et de forces de radiations résultantes appliqué aux objets sphériques et cylindriques en champ stationnaire ou progressif. Le modèle a été utilisé pour interpréter et quantifier les observations expérimentales en configurations liquide/gaz, trans-critique/super-critique et gaz/gaz, et a permis de montrer que le nombre de Helmholtz qui caractérise le champ acoustique, et le rapport de densité qui caractérise les deux milieux, sont deux paramètres cruciaux. Les principales conclusions montrent que le phénomène observé peut être interprété comme résultant de l'acoustique non-linéaire, dont le paramètre clé étant le ratio de densité. Cela exige que la couche séparant les deux milieux, vue comme une interface, ne doive pas être réduite uniquement à une interface liquide/gaz. / The context of this work relies to high frequency combustion instabilities in Liquid Rocket Engines (LRE). The present research focuses on the effects of high amplitude transverse acoustic fields on non-reactive coaxial injection. The acoustic response of injection domes is found to be dependent on the local properties of the acoustic field in the injection cavity. The modification of the atomization process, induced by the acoustic field, has been analyzed in single and multi-injection configurations. Experiments were performed from low to high Weber number atomization regimes. Three phenomena are observed: jet flattening, improvement of the atomization process and deviation. The combination of these phenomena in multi-injection configurations leads to a droplet clustering phenomenon. In the presence of combustion, such a clustering could lead to non-uniform heat release rate which can trigger or sustain combustion instabilities. A theoretical model based on non-linear acoustics has been developed, providing general expressions of radiation pressure and resulting radiation force, for spherical and cylindrical objects in standing and progressive wave field. The model has been successfully used to interpret and quantify experimental observations in liquid/gas, trans-critical/super-critical and gas/gas configurations and showed that the Helmholtz number α characterizing the acoustic field and the density ratio η characterizing the two media are two parameters of importance. The major conclusions are that the observed phenomena can be interpreted as resulting from non-linear acoustics, the key feature being the density ratio. It is claimed that the layer separating the two media, seen as an interface, does not need to be restricted only to a liquid/gas interface.