Dispersion and Loss in a Hopfield Dielectric

Dispersion and Loss in a Hopfield Dielectric
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DOI:
10.1209/0295-5075/18/6/003
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发表时间:
1992-03
期刊:
EPL
影响因子:
1.8
通讯作者:
B. Huttner;S. Barnett
B. Huttner;S. Barnett
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
B. Huttner;S. Barnett

文献摘要

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我们为线性电介质中的电磁场开发了一种完全规范的量化方案,包括色散和损耗。该方案基于电介质的霍普菲尔德模型,其中介质由许多相互作用的物质场表示。明确导出了色散和吸收之间的关系,如 Kramers-Kronig 关系所示。我们获得了介质中电磁场的简单表达式,并展示了如何导出复杂的波矢量,即使在量子场的情况下也是如此。
We develop a fully canonical quantization scheme for the electromagnetic field in linear dielectrics, including dispersion and losses. This scheme is based on the Hopfield model of a dielectric, where the medium is represented by a number of interacting matter fields. The relationship between dispersion and absorption, as expressed by the Kramers-Kronig relations, is explicitly derived. We obtain simple expressions for the electromagnetic field in the medium and show how a complex wave vector can be derived, even in the case of a quantized field.