Role of resonances in the high-order harmonic enhancement in diatomic molecules

2008 ◽  
Vol 281 (15-16) ◽  
pp. 4126-4129 ◽  
Author(s):  
R.A. Ganeev ◽  
P.V. Redkin
Keyword(s):  
Diatomic Molecules ◽  
High Order ◽  
High Order Harmonic

Characteristics in Response Integration and Bifurcation of a Forced Duffing Oscillator

2007 ◽  
Author(s):  
Jang-Der Jeng ◽  
Yuan Kang ◽  
Yeon-Pun Chang ◽  
Shyh-Shyong Shyr
Keyword(s):  
Applied Sciences ◽  
Phase Plane ◽  
Duffing Oscillator ◽  
High Order ◽  
Chaotic Motions ◽  
Integration Algorithm ◽  
High Order Harmonic ◽  
Stiffness And Damping

The Duffing oscillator is well-known models of nonlinear system, with applications in many fields of applied sciences and engineering. In this paper, a response integration algorithm is proposed to analyze high-order harmonic and chaotic motions in this oscillator for modeling rotor excitations. This method numerically integrates the distance between state trajectory and the origin in the phase plane during a specific period and predicted intervals with excitation periods. It provides a quantitative characterization of system responses and can replace the role of the traditional stroboscopic technique (Poincare´ section method) to observe bifurcations and chaos of the nonlinear oscillators. Due to the signal response contamination of system, thus it is difficult to identify the high-order responses of the subharmonic motion because of the sampling points on Poincare´ map too near each other. Even the system responses will be made misjudgments. Combining the capability of precisely identifying period and constructing bifurcation diagrams, the advantages of the proposed response integration method are shown by case studies. Applying this method, the effects of the change in the stiffness and the damping coefficients on the vibration features of a Duffing oscillator are investigated in this paper. From simulation results, it is concluded that the stiffness and damping of the system can effectively suppress chaotic vibration and reduce vibration amplitude.

scholarly journals Two-center interference in high-order harmonic generation from heteronuclear diatomic molecules

2011 ◽  
Vol 19 (2) ◽  
pp. 436 ◽  
Author(s):  
Xiaosong Zhu ◽  
Qingbin Zhang ◽  
Weiyi Hong ◽  
Pengfei Lan ◽  
Peixiang Lu
Keyword(s):  
Harmonic Generation ◽  
Diatomic Molecules ◽  
High Order ◽  
High Order Harmonic Generation ◽  
High Order Harmonic

Role of the longitudinal piston error in a tiled-grating compressor in second and high-order harmonic generation

2012 ◽  
Vol 108 (4) ◽  
pp. 773-777 ◽  
Author(s):  
C. Hernández-García ◽  
C. Méndez ◽  
I. Arias ◽  
J. R. Vázquez de Aldana ◽  
O. Varela ◽  
...  
Keyword(s):  
Harmonic Generation ◽  
High Order ◽  
High Order Harmonic Generation ◽  
High Order Harmonic
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