Quantization of evanescent electromagnetic waves based on detector modes
Quantization of evanescent electromagnetic waves based on detector modes
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DOI：
10.1103/physreva.63.063805
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发表时间：
2001-06-01
影响因子：
2.9
通讯作者：
Hori, H
中科院分区：
文献类型：
--
作者：
Inoue, T;Hori, H
基于探测器模式讨论了半空间中场的量子化问题，为研究原子或分子与辐射模式的相互作用提供了有用的基础。根据Carniglia和Mandel给出的广泛使用的三重态模式的时间反转和空间旋转变换，引入了探测器模式，每个模式涉及一个单一的出射波。因此，探测器模式的正交关系的推导是直接的。我们用三重态模式的产生算符和湮灭算符来表示探测器模的产生算符和湮灭算符，并得到场算符哈密顿量。数运算符和伪矩算符。基于这种形式主义。我们计算了电介质表面附近原子偶极辐射的微分辐射几率。对于涉及单个出射波的探测器模式，最终态模式密度的评估是直接的。对于图像偶极子图像，量子与经典的对应在探测器模式形式中是清楚的。
The problem of field quantization in a half space is discussed based on the detector modes, which provide a useful basis for the study of atomic or molecular interaction with radiation modes involving evanescent electromagnetic waves. The detector modes, each of which involves a single outgoing wave, are introduced in terms of the time-reversal and spatial-rotation transforms of the widely used triplet modes given by Carniglia and Mandel. The derivation of the orthogonal relation for the detector modes is therefore straightforward. We represent the creation and annihilation operators for the detector modes in terms of those for the triplet modes, and obtain the field operator, Hamiltonian. number operator, and pseudomomentum operator. Based on this formalism. we evaluate the differential radiation probability for atomic dipole radiation near a dielectric surface. The evaluation of the final-state mode density is straightforward for the detector modes involving single outgoing waves. With respect to the image dipole picture, the quantum-to-classical correspondence is clear in the detector-mode formalism.