Sine-squared Potential and Global Bifurcation for Dopping Superlattice as Bistable State Cell
paper|更新时间:2020-08-12
|
Sine-squared Potential and Global Bifurcation for Dopping Superlattice as Bistable State Cell
Chinese Journal of LuminescenceVol. 30, Issue 2, Pages: 147-151(2009)
作者机构:
东莞理工学院 电子工程系,广东 东莞,523106
作者简介:
基金信息:
DOI:
CLC:O471.5;O571.33
Received:25 August 2008,
Revised:02 January 1900,
Published Online:30 April 2009,
Published:30 April 2009
稿件说明:
移动端阅览
LI Ming, SHAO Ming-zhu, LUO Shi-yu. Sine-squared Potential and Global Bifurcation for Dopping Superlattice as Bistable State Cell[J]. Chinese journal of luminescence, 2009, 30(2): 147-151.
DOI:
LI Ming, SHAO Ming-zhu, LUO Shi-yu. Sine-squared Potential and Global Bifurcation for Dopping Superlattice as Bistable State Cell[J]. Chinese journal of luminescence, 2009, 30(2): 147-151.DOI:
Sine-squared Potential and Global Bifurcation for Dopping Superlattice as Bistable State Cell
The called doping superlattice is that n-type and p-type impurity are doped alternately on a substrate material
thus forming 1-dimension periodic structure with n-i-p-i-n-i-p-i…arrange.The conductor band botton of the substrate material is modulated periodically by alternately dopping
leading to shape similar to sine-squared potential.The particle motion equation is reduced to the general pendulum equation with a dampping and a force terms in the classical mechanics frame based on the bistable state effect of the superlattice quantum well. The equations solution and the period of a particle motion are found strictlly by Jacobian ellipse function and the 1st kind ellipse integral for the non-perturbed system.The global bifurcation and a chaotic behaours with the Smale horseshoe were analysed by Melnikov method.The critical condition through to a chaos based on a cascade bifurcation was found. It shown that the chaotic oscillation with the Smale horseshoe exits in the system for the separatrive orbit; odd-order subharmoric bifurcations found also for the oscillation periodic orbit.Noting to critical condition entered in a chaos being related to the parameters of the system
the chaos can be avoided or controlled.The theoretical analyse is provided to the design of the optical bistable state cell.
关键词
Keywords
references
. Xu Xurong, Su Mianzeng. Luminescence and Luminescent Materials [M]. Beijing: Academic Press, 2004, 196-199.
. Zhang M, Shao Mingzhu, Luo Shiyu. The phase planar characteristics and stabilities of optical bistable cell by superlattice quantum well [J]. Chin. J. Lumin.(发光学报), 2007, 28 (5):679-682 (in Chinese).
. Jackson J D. Classical Electro-dynamics [M]. Newyork: John Wiley & Sons, 1976, 215-242.
. Korol A, Solovyov A V, Greiner W. Coherent radiation of an ultrarelativistic charged particle channelled in a periodically bent crystal [J]. J. Phys. G, 1998, 24 :L45-50.
. Korol A, Solovyov A V, Greiner W. Phaton emission by an ultrarelativistic particle channelling in a periodically bent crystal [J]. Int. J. Mod. Phys. E, 1999, 8 :49-57.
. Shao Mingzhu, Luo Shiyu. The sine-squared potential and the band constraction for channelling effects [J]. Acta Phys. Sin.(物理学报), 2007, 56 (6):3407-3410 (in Chinese).