** Next:** Wavefront synthesis using wave
** Up:** Imaging by wavefront synthesis
** Previous:** Introduction and overview

After preprocessing for multiple reflections,
the monochromatic 2-D forward model
for a seismic shot record can be written as follows
Berkhout (1985):

| |
(1) |

with
| |
(2) |

In equation () source vector and measurement vector refer to one seismic experiment at the surface *z*=*z*_{0}
with source location at *x*=*x*_{j}.
In equation (), propagation operators
*W*(*z*_{n},*z*_{0}) and *W*(*z*_{0},*z*_{n})
quantify the full propagation effects (down and up, respectively)
between depth levels *z*_{0} and *z*_{n},
and reflection matrix *R*(*z*_{n}) defines
the elastic angle-dependent reflection properties
caused by inhomogeneities at depth level *z*_{n}.
All matrices and vectors refer to one temporal Fourier component.
Equations () and ()
are valid for single-component
as well as for multi-component measurement
of 2-D as well as 3-D data.

** Next:** Wavefront synthesis using wave
** Up:** Imaging by wavefront synthesis
** Previous:** Introduction and overview
Stanford Exploration Project

2/5/2001