A novel method for fast generating the hologram of the three-dimensional real scene with large scene depth is presented. Analytical form solutions to the electromagnetic field of the hologram plane are given. In the framework of our theory, the object can be encoded in the Fraunhofer form and reconstructed within the Fresnel distance without lens, even it does not satisfy the far-field condition. The analytical theory can avoid using the numerical algorithm- Fast Fourier Transform, which restricts a short depth-of-field scene by the Whittaker-Shannon sampling theorem. In order to accelerate the holographic computation, we employ the GPU instead of the CPU. We found that our analytical algorithm performs tens of times faster than those of CPU.
