Superresolution and Duality for Time-Reversal of Waves in Self-Similar Media
نویسندگان
چکیده
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.
منابع مشابه
Superresolution and duality for time-reversal of waves in random media
We analyze the time reversal of waves in a turbulent medium using the parabolic Markovian model. We prove that for waves in a fractal medium with a sufficiently small Fresnel number the time reversal resolution can be a nonlinear (between linear and quadratic) function of the wavelength and independent of the aperture. We establish the duality between the forward propagation and time reversal. ...
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