Translational and rotational averaging of nonlocal response tensors for nano-shaped light

Translational and rotational averaging of nonlocal response tensors for nano-shaped light
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纳米光非局部响应张量的平移和旋转平均

DOI:
10.1088/1361-6455/aa9d66
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发表时间:
2018
期刊:
Molecular and Optical Physics
影响因子:
--
通讯作者:
Mukamel, Shaul
Mukamel, Shaul
中科院分区:
--
文献类型:
--
作者:
Rouxel, Jérémy R;Chernyak, Vladimir Y;Mukamel, Shaul

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响应张量的取向平均是计算随机取向的液相或气相分子系综中的光信号的基本操作。当以多极展开时,可以简单地通过各向同性张量的收缩来执行旋转平均。或者,可以避免多极展开,并且可以经由非局部响应张量自然且隐式地并入所有多极,所述非局部响应张量是场并且不能以简单方式旋转平均。当整个系统的光束变化不可忽略时,非局部响应非常有用。例如纳米雕刻或短波长 X 射线场。我们推导出精确的表达式,将光信号重新编码为物质的非局域响应函数与电磁场的非局域固有属性的卷积。该方法涉及基于最小耦合哈密顿量的规范不变计算。
Orientational averaging of response tensors is an essential operation in calculating optical signals in randomly oriented liquid or gas phase molecular ensembles. When expanded in multipoles, rotational averaging can be performed simply through contraction with isotropic tensors. Alternatively, the multipolar expansion can be avoided and all multipoles may be naturally and implicitly incorporated via nonlocal response tensors which are fields and may not be rotationally averaged in a simple manner. The nonlocal response is useful when the light beam variation across the system is non negligible. Examples are nano-sculpted or short wavelength x-ray field. We derive exact expressions which recast optical signals as a convolution of a nonlocal response function of matter with a nonlocal intrinsic property of the electromagnetic field. The approach involves a gauge invariant calculation based on the minimal coupling Hamiltonian.
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