The Parabolic Wave Approximation and Time Reversal

  title={The Parabolic Wave Approximation and Time Reversal},
  author={G C Papanicolaou and Leonid Ryzhik and Knut S\olna},
We analyze the phenomenon of super-resolution in time-reversal acoustics. A signal recorded by an array of transducers and sent back reversed in time approximately refocuses on the original source point. The refocusing resolution is improved in an inhomogeneous medium when the pulse has rich frequency content. We show that the back-propagated signal is self-averaging in this situation. This explains the statistical stability of the time-reversal refocusing and super-resolution. 

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Publications referenced by this paper.
Showing 1-10 of 14 references

Time-reversed acoustics, Scientific American

  • M. Fink
  • 1999
1 Excerpt

Time reversed acoustics

  • M. Fink
  • Physcis Today, March
  • 1997
1 Excerpt

Narrow-band performance of phase-conjugate arrays in dynamic random media

  • D. Dowling, D. Jackson
  • Jour. Acoust. Soc. Am.,91
  • 1992
1 Excerpt

Phase conjugation in underwater acoustics

  • D. Dowling, D. Jackson
  • Jour. Acoust. Soc. Am., 89
  • 1990
1 Excerpt

Generalized holography and application to inverse scattering and inverse source problems

  • P. Porter
  • Progress in Optics, 17
  • 1989
1 Excerpt

The stochastic caustic

  • B. White
  • SIAM Jour. Appl. Math., 44
  • 1984
1 Excerpt

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