The mode theory of the three-dimensional hologram

Mode theory of 3D hologram

“…The conditions under which the second group terms can be neglected were found in [5,6]; note that these conditions are not artificial constructions, but specifically the conditions under which a hologram reproduces the recorded radiation without distortions during reading (i.e., when it appears to be a hologram in the generally accepted understanding of the term). Abstract-The fundamentals of the theory of 3D hologram, which was developed by the author many years ago and has been applied in many fields of holography and nonlinear optics, are briefly described.…”

“…The mode theory makes it possible to calculate the diffraction efficiency of a 3D amplitude-phase holo gram when the radiation recorded has an extended angular spectrum [4,5,7,10].…”

“…EQUATIONS FOR SLOWLY VARYING AMPLITUDES Based on the Helmholtz equation, one can derive the system of equations [4,5] (2)…”

“…In this study, the mode theory is set forth as applied to a transmission hologram [4][5][6]. The mode theory of a reflection hologram was developed by the author and Leshchev and published in [9].…”

“…OF THE PROBLEM A careful consideration of the system of equations determining the light propagation in a hologram [4][5][6] reveals that the entire variety of the terms in the equa tion describing the propagation of each individual plane wave in the hologram is divided into two non equivalent groups.…”