Degeneracy Breaking, Modal Symmetry and MEMS Biosensors

H.T.D. Grigg[1], T.H. Hanley[1], B.J. Gallacher[1]
[1]Newcastle University, Newcastle upon Tyne, United Kingdom

This work is concerned with systems possessing cyclic symmetries. In particular, we concentrate on the case in which the medium possesses infinite order cyclic symmetry, while the constitutive relations have cyclic symmetry of a lower order. We investigate the interactions between modes with cyclic symmetry of order n and geometries with underlying cyclic symmetry of order M. Rayleigh's Quotient is used to relate the frequency splitting to the relative orders.