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arXiv 1407.1802physics.optics
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介质方形谐振器的微波实验研究

Dielectric Square Resonator Investigated with Microwave Experiments

S. Bittner, E. Bogomolny, B. Dietz, M. Miski-Oglu, A. Richter

摘要:

我们提出了一个详细的实验研究的对称性和动量空间表示的介质方形谐振器的场分布,以及与半经典模型的比较。实验是在平面陶瓷微波谐振器上进行的。测量了共振谱和场分布。后者的动量空间表示证明了共振态各自与特定的经典环面相关,从而导致光谱的规则结构。此外,它们允许精确测定折射率。进行了测量与不同的安排的发射和接收天线和它们的影响的场分布的对称性进行了详细的研究,显示具有特定的对称性的共振可以有目的地选择。此外,在半经典模型的框架下,讨论了由实测谐振谱推导出的长度谱和介质方形谐振器的迹线公式。

英文摘要:

We present a detailed experimental study of the symmetry properties and the momentum space representation of the field distributions of a dielectric square resonator as well as the comparison with a semiclassical model. The experiments have been performed with a flat ceramic microwave resonator. Both the resonance spectra and the field distributions were measured. The momentum space representations of the latter evidenced that the resonant states are each related to a specific classical torus, leading to the regular structure of the spectrum. Furthermore, they allow for a precise determination of the refractive index. Measurements with different arrangements of the emitting and the receiving antennas were performed and their influence on the symmetry properties of the field distributions was investigated in detail, showing that resonances with specific symmetries can be selected purposefully. In addition, the length spectrum deduced from the measured resonance spectra and the trace formula for the dielectric square resonator are discussed in the framework of the semiclassical model.

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