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arXiv 1504.01008quant-phphysics.optics
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波导漏模作为量子共振的经典光学类比

Leaky modes of waveguides as a classical optics analogy of quantum resonances

Sara Cruz y Cruz, Oscar Rosas-Ortiz

摘要:

提出了一种经典的光学波导结构来模拟量子力学中一维短程势场的共振。该类比是基于波导的引导和辐射模式与量子阱的束缚和散射态之间的众所周知的相似性。由于共振是散射状态,在散射体的影响区域中花费一些时间,我们将它们与波导的泄漏模式相关联,后者的特征在于在传播方向上遭受衰减,但在横向方向上呈指数增加。这种相似性是完全的,因为共振(漏模)可以被解释为具有有限寿命(纵向位移)的束缚态(导模)。作为一个直接的应用程序,我们计算的泄漏模式(共振)与介质均匀板(方阱势),并表明这些模式的衰减,因为它们传播。

英文摘要:

A classical optics waveguide structure is proposed to simulate resonances of short range one-dimensional potentials in quantum mechanics. The analogy is based on the well known resemblance between the guided and radiation modes of a waveguide with the bound and scattering states of a quantum well. As resonances are scattering states that spend some time in the zone of influence of the scatterer, we associate them with the leaky modes of a waveguide, the latter characterized by suffering attenuation in the direction of propagation but increasing exponentially in the transverse directions. The resemblance is complete since resonances (leaky modes) can be interpreted as bound states (guided modes) with definite lifetime (longitudinal shift). As an immediate application we calculate the leaky modes (resonances) associated with a dielectric homogeneous slab (square well potential) and show that these modes are attenuated as they propagate.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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