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arXiv 1504.03399physics.optics
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纳米粒子诱导的球形光学谐振腔回音壁模谐振频移理论

Theory of the nanoparticle-induced frequency shifts of whispering-gallery-mode resonances in spheroidal optical resonators

L. Deych, V. Shuvayev

摘要:

从理论上研究了纳米粒子对光学球腔回音壁模频谱的影响。结合一个单一的谐振器的问题与偶极子近似的粒子的从头算的解决方案,我们推导出简单的解析表达式的频率和宽度的粒子修改的共振,这是有效的谐振器与适度偏离的球形形状。推导出的表达式被用来分析的谐振子粒子系统的光谱特性作为粒子的位置,谐振器的大小和WGM的特性的函数。所得结果与实验数据吻合良好。通过仔细选择谐振腔的尺寸、折射率等实验参数,可以显著增强粒子感生光谱效应。所得结果对WGM谐振器在生物传感、腔QED、光力学等方面的应用有一定的参考价值。

英文摘要:

Nanoparticle-induced modifications of the spectrum of whispering-gallery-modes (WGM) of optical spheroidal resonators are studied theoretically. Combining an ab initio solution of a single resonator problem with a dipole approximation for the particle, we derive simple analytical expressions for frequencies and widths of the particle-modified resonances, which are valid for resonators with moderate deviations from the spherical shape. The derived expressions are used to analyze spectral properties of the resonator-particle system as functions of the particle's position, the size of the resonators and the characteristics of WGMs. The obtained results are shown to agree well with available experimental data. It is also demonstrated that the particle-induced spectral effects can be significantly enhanced by careful selection of resonator's size, refractive index and other experimental parameters. The results presented in the paper can be useful for applications of WGM resonators in biosensing, cavity QED, optomechanics and others.

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