TY - JOUR
T1 - Exploring the distinction between experimental resonant modes and theoretical eigenmodes
T2 - From vibrating plates to laser cavities
AU - Tuan, P. H.
AU - Wen, C. P.
AU - Yu, Y. T.
AU - Liang, H. C.
AU - Huang, Kai-Feng
AU - Chen, Yung-Fu
PY - 2014/2/12
Y1 - 2014/2/12
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84896973680&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.89.022911
DO - 10.1103/PhysRevE.89.022911
M3 - Article
AN - SCOPUS:84896973680
SN - 1539-3755
VL - 89
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 2
M1 - 022911
ER -