Abstract
The 2-D extrapolation operator in the wavenumber-frequency domain is expanded in a series of Chebychev polynomials. Fourier-type coefficients, depending on the extrapolation step, the frequency and the current velocity, are derived in terms of standard functions of mathematical physics. The inverse Fourier transform to the space-frequency domain then gives an analytical solution of the explicit operator, which renders the calculation of filter coefficients a routine matter. Realizable operators are designed by application of suitable spatial window functions. Migration of synthetic zero-offset data is used to illustrate the merits of the analysis.
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