Visualization of macro-vessels is difficult using existing contrast agent imaging methods without blooming or other artifacts. Early use of standard color flow equipment led to saturation and blooming, obscuring small vasculature. More recently, low Mechanical Index (MI<0.15) harmonic techniques have been devised to visualize nearly stationary microbubbles in the microcirculation in real time (...

This dissertation consists of two independent parts: oscillatory data analysis (Part I) and fast algorithms for integral operators in computational harmonic analysis (Part II). The first part concentrates on developing theory and efficient tools in applied and computational harmonic analysis for oscillatory data analysis. In modern data science, oscillatory data analysis aims at identifying and...

‎In this paper‎, ‎we study the convex combinations of harmonic mappings obtained by shearing a class of slit conformal mappings‎. ‎Sufficient conditions for the convex combinations of harmonic mappings of this family to be univalent and convex in the horizontal direction are derived‎. ‎Several examples of univalent harmonic mappings constructed by using these methods are presented to illustrate...

we study the notion of harmonicity in the sense of symplectic geometry, and investigate the geometric properties of harmonic thom forms and distributional thom currents, dual to different types of submanifolds. we show that the harmonic thom form associated to a symplectic submanifold is nowhere vanishing. we also construct symplectic smoothing operators which preserve the harmonicity of distri...

During courtship males often communicate information about their fitness to females. The matching of harmonic components of flight tone in male-female pairs of flying mosquitoes, or harmonic convergence, was recently described. This behaviour occurs prior to mating and has been suggested to function in mate selection. We investigated the hypothesis that harmonic convergence is a component of mo...

Patients with early disruptions of binocularity show cortical directional asymmetries in their steady state monocular VEP response to oscillatory motion. The VEP directional asymmetry is characterized by significant first harmonic components that show a 180 degrees difference in the response phase between the two eyes. By contrast, the normal response is dominated by even-order response harmoni...

Today’s modern commercial and military communication systems are demanding better performance with regards to power, effi ciency, linearity and operating bandwidth. As such, extra considerations must be placed on designing the internal components of the systems, including the low-noise and power amplifi ers, to maximize performance. In order to reach higher effi ciencies, signifi cant research ...