Translations:Mathematical foundation of 3-D migration/28/en

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The impulse response of the 2-D 15-degree migration operator with its dispersion relation given by equation (D-42a) is an ellipse (Figure 4.3-1). The impulse response of the 3-D 15-degree migration operator with its dispersion relation given by equation (G-9) is an ellipsoid (Figure 7.3-2). Except for the amplitudes, the vertical cross-section at center line (51) is the same as the 2-D impulse response. Within typical bandwidth of seismic data, the 3-D 15-degree impulse response departs from the ideal 3-D impulse response (a hollow hemisphere) at dips greater than approximately 30 degrees. The time slices of the impulse response for equation (G-9) are circular in shape.