We present a new implementation of the linear sampling method in which the set of discretized far-field equations for all sampling points is replaced by a single functional equation formulated in a Hilbert space defined as a direct sum of L2 spaces. The squared norm of the regularized solution of such equation is used as indicator function and is analytically determined together with its Fourier transform. This provides some theoretical hints about the spatial resolution achievable by the method
The linear sampling method without sampling
BRIGNONE, MASSIMO;PIANA, MICHELE
2006-01-01
Abstract
We present a new implementation of the linear sampling method in which the set of discretized far-field equations for all sampling points is replaced by a single functional equation formulated in a Hilbert space defined as a direct sum of L2 spaces. The squared norm of the regularized solution of such equation is used as indicator function and is analytically determined together with its Fourier transform. This provides some theoretical hints about the spatial resolution achievable by the method
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