Journal of East China Normal University(Natural Science) ›› 2021, Vol. 2021 ›› Issue (1): 119-128.doi: 10.3969/j.issn.1000-5641.202022006

• Physics and Electronics • Previous Articles     Next Articles

Whispering gallery mode in a two-dimensional electromagnetic Helmholtz cavity

Qianjing WANG(), Junjie DU*()   

  1. School of Physics and Electronic Science, East China Normal University, Shanghai 200241, China
  • Received:2020-03-31 Online:2021-01-25 Published:2021-01-28
  • Contact: Junjie DU;


In this paper, whispering gallery mode (WGM) excited in a two-dimensional electromagnetic Helmholtz cavity are studied using a rigorous, generalized dual series approach. The excitation wavelengths of several whispering gallery modes are given, and the dependence of electromagnetic whispering gallery modes on the angle of incidence and the angular width of opening cavities is investigated. It was found that WGM are very sensitive to slight changes in wavelength or the angular width of the opening; at the same time, WGM can be excited across a wide range of incident angles given a fixed orientation angle of the cavity. This shows that the angular width of the opening has a significant influence on the performance of Helmholtz cavities and hence is a key parameter in their design. On the other hand, given the lack of sensitivity to the incident angle, no particular specification is needed when designing an artificially structured electromagnetic material using these Helmholtz cavities; accordingly, the fabrication difficulty is relatively low.

Key words: whispering gallery mode, electromagnetic Helmholtz cavity, Mie scattering theory

CLC Number: