dorsal/arxiv
View SchemaSuperresolution and Duality for Time-Reversal of Waves in Self-Similar Media
| Authors | Albert Fannjiang, Knut Solna |
|---|---|
| Categories | |
| ArXiv ID | physics/0502124 |
| URL | https://arxiv.org/abs/physics/0502124 |
| DOI | 10.1016/j.physleta.2005.05.030 |
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.
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"abstract": "We analyze the time reversal of waves in a turbulent medium using the\nparabolic Markovian model. We prove that the time reversal resolution can be a\nnonlinear function of the wavelength and independent of the aperture. We\nestablish a duality relation between the turbulence-induced wave spread and the\ntime-reversal resolution which can be viewed as an uncertainty inequality for\nrandom media. The inequality becomes an equality when the wave structure\nfunction is Gaussian.",
"arxiv_id": "physics/0502124",
"authors": [
"Albert Fannjiang",
"Knut Solna"
],
"categories": [
"physics.optics",
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],
"doi": "10.1016/j.physleta.2005.05.030",
"title": "Superresolution and Duality for Time-Reversal of Waves in Self-Similar Media",
"url": "https://arxiv.org/abs/physics/0502124"
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