Superresolution and Duality for Time-Reversal of Waves in Self-Similar Media

Details Superresolution and Duality for Time-Reversal of Waves in Self-Similar Media Superresolution and Duality for Time-Reversal of Waves in Self-Similar Media

2005-02-23

arxiv.org/abs/physics/0502124v1

Physics

Optics

Scientific paper

10.1016/j.physleta.2005.05.030

We analyze the time reversal of waves in a turbulent medium using the parabolic Markovian model. We prove that the time reversal resolution can be a nonlinear function of the wavelength and independent of the aperture. We establish a duality relation between the turbulence-induced wave spread and the time-reversal resolution which can be viewed as an uncertainty inequality for random media. The inequality becomes an equality when the wave structure function is Gaussian.

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