Abstract We report on an extended version of the one-dimensional model proposed by Constant et al (1999 Phys. Rev. Lett. 82 1668) to study phase matching high-order harmonic generation in absorbing and dispersive medium. The model—expanded from zeroth first order—can be used with media having a pressure profile varying linearly propagation length. Based new formulas, importance medium that ends...

Circuit simulation is a fundamental enabler for the design of integrated circuits. As the design complexity increases, there has been a long lasting interest in speeding up transient circuit simulation using paralellization (Dong et al., 2008; Dong & Li, 2009b;c; Reichelt et al., 1993; Wever et al., 1996; Ye et al., 2008). On the other hand, Harmonic Balance (HB), as a general frequency-domain ...

Using one-dimensional semiconductor Bloch equations, we investigate the multiband dynamics of electrons in a cutoff extension scheme employing an infrared pulse with additional UV injection. An extended three-step model is firstly validated to play dominant role emitting harmonics second plateau. Surprisingly, further analysis acceleration theorem shows that, though both primary and secondary p...

The time domain recursive least squares estimation of parameters in the presence of additive output noise of harmonic form leads to biased estimates. However, frequency domain least squares parameter estimation, where the frequency range contaminated by the noise is eliminated, can be used to obtain good parameter estimates. Both the time domain and frequency domain methods are described, and a...

Hodge theory is a fundamental tool of Kähler geometry. It represents cohomology classes by harmonic forms, and deriving properties of these harmonic forms then in turn yields information about the cohomology. Homology or cohomology groups, however, contain only partial information about the topology of a manifold. The most important topological invariant of a manifold X is the fundamental group...

This paper proposes a new computational scheme for approximating variable-order fractional integral operators by means of finite element scheme. This strategy is extended to approximate the solution of a class of variable-order fractional nonlinear systems with time-delay. Numerical simulations are analyzed in the perspective of the mean absolute error and experimental convergence order. To ill...

In the present study, acousto-vibration analysis of 2D fluid-filled cavities/tanks having flat and curved flexible walls is made using a trigonometric function based shear deformable theory Helmholtz wave model for fluid domain. The governing equation formed here solved through higher-order finite element approach. are modeled by C1 continuous 3-noded beam idealized an eight-noded quadrilateral...

We review recent experimental and theoretical work on the use of counterpropagating light to enhance high-order harmonic generation through all-optical quasi-phase matching. Also presented is a new technique for measuring the coherence of high harmonics in the nonlinear medium. This information is crucial for understanding the process of harmonic generation over extended distances, as well as f...