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Distribution of Modes in Fractal Resonators

  • Conference paper
Structural Stability in Physics

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 4))

Abstract

I shall present a conjecture which if correct would greatly extend our understanding of the distribution of modes in vibrating systems. Consider a region R of D-dimensional space, with a boundary ∂R which is d-dimensional, where d = D-1.

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References

  1. H.P. Baltes, E.R. Hilf: Spectra of finite systems (B-I Wissenschaftsverlag, Mannheim 1978)

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Author information

Authors and Affiliations

  1. H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol, BS8 1TL, UK

    M. V. Berry

Authors
  1. M. V. Berry
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Editor information

Editors and Affiliations

  1. Institute for Information Sciences, University of Tübingen, D-7400, Tübingen, Fed. Rep. of Germany

    Werner Güttinger  & Horst Eikemeier  & 

  2. Department of Physics and Astronomy, University of Wyoming, Laramie, WY, 82071, USA

    Werner Güttinger

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© 1979 Springer-Verlag Berlin Heidelberg

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Berry, M.V. (1979). Distribution of Modes in Fractal Resonators. In: Güttinger, W., Eikemeier, H. (eds) Structural Stability in Physics. Springer Series in Synergetics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-67363-4_7

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  • DOI: https://doi.org/10.1007/978-3-642-67363-4_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-67365-8

  • Online ISBN: 978-3-642-67363-4

  • eBook Packages: Springer Book Archive

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