Holographic-coordinate-transform-based system for direct Fourier tomographic reconstruction

摘要

In this paper, an optical tomographic system based on the Fourier Slice Theorem and using a holographic geometric transformation is described. A new decomposition is first proposed and used for the polar-to-cartesian coordinate transform, which is the most important procedure in the system. The characteristics such as mapping geometry, influence from singular points, the number of pixels required for accurate geometric mapping and system optimization are analyzed and compared with others. The holographic elements and optical systems are designed. The corresponding results in computer simulations and optical experiments, as well as computer-generated hologram (CGH) tests, are provided.