In the framework of a mesoscopical model for dielectric media we provide an analytical description for the electromagnetic field confined in a cylindrical cavity containing a finite dielectric sample. This system is apted to simulate the electromagnetic field in a optic fiber, in which two different regions, a vacuum region and a dielectric one, appear. A complete description for the scattering basis is introduced, together with field quantization and the two-point function. Furthermore, we also determine soliton-like solutions in the dielectric, propagating in the sample of nonlinear dielectric medium.

A preprint version of the article is available at ArXiv.

中文翻译：

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光纤中$$ \ Phi \ Psi $$ΦΨ模型的量化和类孤子解

在介电介质的介观模型的框架内，我们提供了对包含有限介电样品的圆柱形空腔内电磁场的分析描述。该系统适于模拟光纤中的电磁场，其中出现了两个不同的区域，即真空区域和电介质区域。介绍了散射基础的完整描述，以及场量化和两点函数。此外，我们还确定了在电介质中的类孤子解，并在非线性电介质样本中传播。

该文章的预印本可在ArXiv上获得。