Exploring the distinction between experimental resonant modes and theoretical eigenmodes: From vibrating plates to laser cavities

P. H. Tuan, C. P. Wen, Y. T. Yu, H. C. Liang, Kai-Feng Huang, Yung-Fu Chen

研究成果: Article同行評審

10 引文 斯高帕斯(Scopus)

摘要

Experimentally resonant modes are commonly presumed to correspond to eigenmodes in the same bounded domain. However, the one-to-one correspondence between theoretical eigenmodes and experimental observations is never reached. Theoretically, eigenmodes in numerous classical and quantum systems are the solutions of the homogeneous Helmholtz equation, whereas resonant modes should be solved from the inhomogeneous Helmholtz equation. In the present paper we employ the eigenmode expansion method to derive the wave functions for manifesting the distinction between eigenmodes and resonant modes. The derived wave functions are successfully used to reconstruct a variety of experimental results including Chladni figures generated from the vibrating plate, resonant patterns excited from microwave cavities, and lasing modes emitted from the vertical cavity.

原文English
文章編號022911
期刊Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
89
發行號2
DOIs
出版狀態Published - 12 2月 2014

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