Parabolic approximation, radiative transfer and time reversal
نویسندگان
چکیده
منابع مشابه
Parabolic Approximation, Radiative Transfer and Time Reversal
We first present a new formulation of parabolic approximation of the Maxwell equations for heterogeneous dielectric materials. We then discuss rigorous results about selfaveraging scaling limits of parabolic waves in terms of the Wigner distribution function. Among the 6 possible scaling limits two are exactly solvable. We use the Green function to analyze the time reversal operation in turbule...
متن کاملThe Parabolic Wave Approximation and Time Reversal
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 exp...
متن کاملSelf-averaging radiative transfer for parabolic waves
A systematic derivations of self-averaging scaling limits of parabolic waves in terms of the Wigner distribution function is presented. The convergence of the Wigner distribution to one of the six deterministic radiative transfer equations is established. One of the main contributions of this Note is a unified framework for space–time scaling limits that lead to radiative transfer. To cite this...
متن کاملTime Reversal of Parabolic Waves and Two-frequency Wigner Distribution
We consider propagation and time reversal of wave pulses in a random environment. The focus of our analysis is the development of an expression for the two frequency mutual coherence function for the harmonic wave field. This quantity plays a crucial role in the analysis of many wave propagation phenomena and we illustrate by explicitly considering time reversal in the context of time pulses wi...
متن کاملSparse Approximation of Computational Time Reversal Imaging
Computational time reversal imaging can be used to locate the position of multiple scatterers in a known background medium. Here, we discuss a sparse approximation method for computational time-reversal imaging. The method is formulated entirely in the frequency domain, and besides imaging it can also be used for denoising, and to determine the magnitude of the scattering coefficients in the pr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2005
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/7/1/010