The use of few-femtosecond, extreme ultraviolet (XUV) pulses, produced by high-order harmonic generation, in combination with few-femtosecond infrared (IR) pulses pump-probe experiments has great potential to disclose ultrafast dynamics molecules, nanostructures and solids. A crucial prerequisite is a reliable characterization the temporal properties XUV IR pulses. Several techniques have been ...

Aalto University, P.O. Box 11000, FI-00076 Aalto www.aalto.fi Author Tri Quach Name of the doctoral dissertation Computational Methods in Conformal and Harmonic Mappings Publisher School of Science Unit Department of Mathematics and Systems Analysis Series Aalto University publication series DOCTORAL DISSERTATIONS 226/2015 Field of research Mathematics Manuscript submitted 14 April 2015 Date of...

Conformal mapping has been applied mostly to harmonic functions, i.e. solutions of Laplace’s equation. In this paper, it is noted that some other equations are also conformally invariant and thus equally well suited for conformal mapping in two dimensions. In physics, these include steady states of various nonlinear diffusion equations, the advection-diffusion equations for potential flows, and...

Conformal mapping has been applied mostly to harmonic functions, i.e. solutions of Laplace’s equation. In this paper, it is noted that some other equations are also conformally invariant and thus equally well suited for conformal mapping in two dimensions. In physics, these include steady states of various nonlinear diffusion equations, the advection–diffusion equations for potential flows, and...

This paper introduces a mapping method, overtone mapping, that projects multichannel time-series data onto a harmonic-series structure. Because of the common-fate effect of the Gestalt principle, correlated signals are perceived as a unity, while uncorrelated signals are perceived as segregated. This method is first examined with sonification of simple, generic data sets. Then overtone mapping ...