Nonlinear harmonic radiation was observed using the VISA SASE FEL at saturation. The gain lengths, spectra and energies of the three lowest SASE FEL modes were experimentally characterized. Both the measured harmonic gain lengths and center spectral wavelengths are shown to decrease with harmonic number, n, which is consistent with nonlinear harmonic theory. The measured energies for both secon...

To predict nonlinear circuit behaviour, harmonic balance (HB) is a popular and useful frequency-domain technique. But given its mathematical nature, it can only converge to mathematical solutions being harmonically related to the input sources into the circuit. Nevertheless, the mathematical solutions to a nonlinear system do not necessarily need to be harmonically related to the input signals ...

In this paper we show that harmonic compact operator-valued functions are characterized by having harmonic diagonal matrix coefficients in any choice of basis. We also give an example which shows that an operator-valued function with values outside the compact operators can have harmonic diagonal matrix coefficients in any choice of basis without being a harmonic operator-valued function. We us...

Let F : M → N be a harmonic map between complete Riemannian manifolds. Assume that N is simply connected with sectional curvature bounded between two negative constants. If F is a quasiconformal harmonic diffeomorphism, then M supports an infinite dimensional space of bounded harmonic functions. On the other hand, if M supports no non-constant bounded harmonic functions, then any harmonic map o...

The paper deals with a harmonic detection algorithm for hybrid power filters called DQ axis with Fourier (DQF) algorithm. This algorithm is a combination of the advantages of DQ axis method and sliding window Fourier analysis (SWFA). It is flexible and suitable in terms of design for hybrid power filters. This paper also presents the harmonic elimination by using the DQF algorithm for both thre...

The superconducting magnetic levitation railway system (MAGLEV) under development in Japan uses a pulsewidth-modulation (PWM) inverter for driving a linear synchronous motor (LSM). The inverter output voltage contains non-negligible harmonics which cause harmonic resonances in the LSM system, and therefore harmonics of the output voltage have been analyzed in order to control such harmonic reso...

In this paper, we consider and investigate the relative harmonic preinvex functions, which unifies several new known classes of harmonic preinvex functions. We derive several new integral inequalities such as Hermite-Hadamard, Simpson’s, trapezoidal for the relative harmonic preinvex functions. Since the relative harmonic preinvex functions include, convex function, harmonic convex functions, p...

[A] M. Svensson, On holomorphic harmonic morphisms, Manuscripta Math. 107 (2002), 1–13. [B] M. Svensson, Harmonic morphisms from even-dimensional hyperbolic spaces, Math. Scand. 92 (2003), 246–260. [C] M. Svensson, Holomorphic foliations, harmonic morphisms and the Walczak formula, J. London Math. Soc. 68 (2003), 781–794. [D] M. Svensson, Harmonic morphisms in Hermitian geometry, J. Reine Angew...

Abstract – An improved MIT bag model with hyper central interactions is used to calculate the static properties of hadrons containing u, d, s and c quarks. We present a theoretical approach to the internal structure of three-body hyper central interacting quarks in a hadron, in which we take hadron as a bag. We discuss a few of the results obtained using a six-dimension harmonic oscilator (h.o)...

This paper review analysis of the performance of a fuel cell energy source based Multi Level Inverter topology. Multi Level Inverter topologies are suitable in high power application due to their ability to synthesize waveforms with better harmonic spectrum. The Multilevel inverter circuit analysis and selection of proper references discussed based on the formulation switching patterns. A Singl...