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The theory of a trapped degenerate mode resonator

Lookup NU author(s): Emeritus Professor James Burdess, Dr Barry Gallacher, Dr Harriet Grigg, Dr Zhongxu Hu, Dr Carl Dale, Dr Neil Keegan, Dr John Hedley, Dr Chen Fu, Julia Spoors



This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


© 2017 Author(s). Resonance based biosensors are used in the detection of biological molecules for medical diagnostics. Sensing in a liquid environment is very desirable for this application, but presents a significant challenge for resonators based upon conventional technologies. In this paper, the major originality lies in the development and exposition of a fundamental theory enabling design of an original elastic resonant sensor whose modes are engineered to simultaneously possess three separate but complementary dynamical properties: namely, (1) in-plane displacement of the free interface whereby the SH waves are uncoupled from the SV and P waves; (2) intrinsic modal trapping; and finally, (3) cyclic symmetry and modal degeneracy. The modal trapping is due to the physical configuration of the resonator resulting in an imaginary wavenumber for one region of the resonator. The wave will be evanescent in this region and propagating elsewhere. The fundamental principles are elucidated, and analytical techniques are presented that facilitate the efficient design of this unique class of device.

Publication metadata

Author(s): Burdess JS, Gallacher BJ, Grigg HT, Hu ZX, Dale C, Keegan N, Hedley J, Fu C, Spoors J

Publication type: Article

Publication status: Published

Journal: Journal of the Acoustical Society of America

Year: 2017

Volume: 141

Issue: 6

Pages: 4622-4632

Online publication date: 21/06/2017

Acceptance date: 05/06/2017

Date deposited: 04/07/2017

ISSN (print): 0001-4966

ISSN (electronic): 1520-8524

Publisher: AIP Publishing LLC


DOI: 10.1121/1.4986648


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