Superresolution and Duality for Time-Reversal of Waves in Self-Similar Media
Optics
2009-11-11 v1 Classical Physics
Abstract
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.
Keywords
Cite
@article{arxiv.physics/0502124,
title = {Superresolution and Duality for Time-Reversal of Waves in Self-Similar Media},
author = {Albert Fannjiang and Knut Solna},
journal= {arXiv preprint arXiv:physics/0502124},
year = {2009}
}