In a volume phase hologram recorded by two-beam coupling in photorefra
ctive crystal, the refractive index modulation and the phase shift are
both path dependent. In this paper, the concept of dividing the cryst
al slab into layers together with the mathematics of the diagonalizati
on matrix are developed to calculate the diffraction of the hologram.
As a result, a general analytic solution is achieved. For the use of n
ovelty filtering in image processing and interferometric measurement,
the conditions for keeping the same fields of the reconstructed signal
beam and the transmitted signal beam are discussed.