External constraints on optimal control strategies in molecular orientation and photofragmentation: role of zero-area fields
External constraints on optimal control strategies in molecular orientation and photofragmentation: role of zero-area fields
复制标题
分子取向和光断裂最优控制策略的外部约束：零面积场的作用
DOI：
10.1080/09500340.2013.844281
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发表时间：
2014
影响因子：
1.3
通讯作者：
M. Desouter
中科院分区：
文献类型：
--
作者：
D. Sugny;S. Vranckx;M. Ndong;Osman Atabek;M. Desouter
我们提出了一种新的最优局部控制算法公式，该算法在控制场上强制执行时间积分零区域的约束。满足这一在许多物理应用中至关重要的要求是通过引入旨在惩罚脉冲面积的拉格朗日乘数在数学上实现的。这种方法允许设计一个面积尽可能小的控制场，同时使动力系统接近目标状态。我们测试了这种方法在分子动力学中两个控制目的（即取向和光解离）上的效率。
We propose a new formulation of optimal and local control algorithms which enforces the constraint of time-integrated zero-area on the control field. The fulfillment of this requirement, crucial in many physical applications, is mathematically implemented by the introduction of a Lagrange multiplier aiming at penalizing the pulse area. This method allows one to design a control field with an area as small as possible, while bringing the dynamical system close to the target state. We test the efficiency of this approach on two control purposes in molecular dynamics, namely, orientation and photodissociation.