Skip to main content

Nonlinear Supratransmission: Energy Transmission by Nonlinear Mode Generation

  • Conference paper
Mathematical and Numerical Aspects of Wave Propagation WAVES 2003
  • 518 Accesses

Summary

A nonlinear system possessing a natural forbidden band gap can transmit energy of a signal with a frequency in the gap.This process of nonlinear supratransmission, occuring at a threshold exactly predictable in many cases, is presented and discussed. A simple theory is confronted both to numerical simulations and experiments on a mechanical chain of coupled pendula.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. F. Geniet, J. Leon, Phys Rev Lett 89 (2002) 134102

    Article  Google Scholar 

  2. E. Fermi, J.R. Pasta, S.M. Ulam, Studies of nonlinear problems, Los Alamos Sci. Lab. Rep. (1955) LA-1940, reproduced in: A.C. Newell (Ed.) Nonlinear wave motion, AMS Lect Appl Math 15 (1974)

    Book  Google Scholar 

  3. M. Remoissenet, Waves Called Solitons, Springer (Berlin 1999). A.C. Scott, Nonlinear science, Oxford Univerity Press (New York 1999)

    Google Scholar 

  4. J-G. Caputo, J. Leon, A. Spire, Phys Lett A 283 (2001) 129–135

    Article  Google Scholar 

  5. F. Geniet, J. Leon, Nonlinear Supratransmission, submitted to J Phys Cond Mat.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Geniet, F., Leon, J. (2003). Nonlinear Supratransmission: Energy Transmission by Nonlinear Mode Generation. In: Cohen, G.C., Joly, P., Heikkola, E., Neittaanmäki, P. (eds) Mathematical and Numerical Aspects of Wave Propagation WAVES 2003. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55856-6_113

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-55856-6_113

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62480-3

  • Online ISBN: 978-3-642-55856-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics