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Optical resonances in dielectric microspheres for transverse magnetic wave

机译：介电微球中横向电磁波的光学共振

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摘要

Optical resonances for Transverse Magnetic (TM) wave based on Whispering Gallery Modes (WGM) have been presented with comprehensive mathematical formulations. The present study is characterized both theoretically and experimentally by considering the fact that the size parameter of the dielectric micro-spheres is very large at optical wavelengths. An asymptotic expression has been developed based on electromagnetic theory for large size parameter. The developed expressions for optical resonance condition of TM wave are very simple and can accurately characterize resonances in dielectric microspheres. The theoretical development is mathematically robust and significantly less complicated than existing approaches based on quantum physics presented in the literatures. The theoretical result of size parameter for consecutive morphology dependent resonance (MDR) peaks is validated by experimental data. The comparisons are shown to be very accurate for large size parameters.
机译：基于耳语画廊模式（WGM）的横向电磁波（TM）的光学共振已通过全面的数学公式提出。考虑到介电微球的尺寸参数在光波长处非常大这一事实，从理论上和实验上对本研究进行了表征。基于电磁理论，针对大尺寸参数开发了一种渐近表达式。所开发的TM波光学共振条件的表达式非常简单，可以准确地表征介电微球体中的共振。理论上的发展在数学上是稳健的，并且比文献中提出的基于量子物理学的现有方法要复杂得多。实验数据验证了连续形态依赖共振（MDR）峰的大小参数的理论结果。对于大尺寸参数，显示比较结果非常准确。

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