Based on self-reproduction theory, harmonic and rational harmonic mode-locked semiconductor optical amplifier (SOA) fiber ring lasers have been numerically investigated, respectively. Harmonic mode locking makes a target of obtaining ultra-short pulse. While in rational harmonic mode locking, it is urgently needed to solve that pulse amplitude becomes uneven with the increase of the order of ra...

A smooth map f: M ! N between semi-riemannian manifolds is called a harmonic morphism if f pulls back harmonic functions (i.e., local solutions of the Laplace{Beltrami equation) on N into harmonic functions on M. It is shown that a harmonic morphism is the same as a harmonic map which is moreover horizontally weakly conformal, these two notions being likewise carried over from the riemannian ca...

Sufficient coefficient conditions for complex functions to be close-to-convex harmonic or convex harmonic are given. Construction of close-to-convex harmonic functions is also studied by looking at transforms of convex analytic functions. Finally, a convolution property for harmonic functions is discussed. Harmonic, Convex, Close-to-Convex, Univalent.

The improvement of identification accuracy of concurrent vowels with differences in fundamental frequency (delta F0) is usually attributed to mechanisms that exploit harmonic structure. To decide whether identification is aided primarily by selecting the target vowel on the basis of its harmonic structure ("harmonic enhancement") or removing the interfering vowel on the basis of its harmonic st...