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Rectangular-ridge vibrational modes

Rectangular-ridge vibrational modes

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We present a theoretical analysis of the mode spectrum for elastic waves localised at the top of a semi-infinite rectangular ridge. We find their speeds of propagation to be well below the values obtained previously, where the ridge is supported by a substrate.

Inspec keywords: acoustic microwave devices; waveguide theory

Other keywords: waveguides; acoustic microwave devices

Subjects: Sonic and ultrasonic transducers and sensors; Waveguide and cavity theory

References

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      • P.E. Lagasse . Finite element analysis of piezoelectric elastic waveguides. IEEE Trans. , 354 - 359
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      • R.C.M. Li , H.L. Bertoni , A.A. Oliner , S. Markman . Simple equivalent network for the flexural mode of the ridge guide for acoustic surface waves. Electron. Lett. , 211 - 212
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      • C.C. Tu , G.W. Farnell . Flexural mode of ridge guides for elastic surface waves. Electron. Lett. , 68 - 70
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      • A.A. Maradudin , R.F. Wallis , D.L. Mills , R.L. Ballard . Vibrational edge modes in finite crystals. Phys. Rev. B , 1106 - 1111
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      • J. Mckenna , G.D. Boyd , R.N. Thurston . Plate theory solution for guided flexural acoustic waves along the tip of a wedge. IEEE Trans.
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      • SHARON, T. M., MARADUDIN, A. A., CUNNINGHAM, S. L.: ‘Vibrational modes on a rectangular ridge’ (to be published).
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      • T.M. Sharon , A.A. Maradudin , S.L. Cunningham . Vibrational edge modes for small-angle wedges. Phys. Rev. B , 6024 - 6026
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      • P.E. Lagasse , I.M. Mason , E.A. Ash . Acoustic surface waveguides—analysis and assessment. IEEE Trans. , 225 - 236
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      • R. Burridge , F.J. Sabina . Theoretical computations on ridge acoustic surface waves using the finite-element method. Electron. Lett. , 720 - 722
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      • Sharon, T.M.: `Edge modes for piezoelectric wedges of arbitrary interior angles', Proceedings of IEEE ultrasonics symposium, 1973, Monterey, Calif., USA, p. 126–130.
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