Numerical image reconstruction methods in long-wavelength holography are discussed systematically, and experiments of image reconstructions from sound-wave hologram by computer are conducted.
There are three methods for reconstructing images from holograms, namely, method with a propagation function, with the analytical Fourier transform of the propagation function and with a quadratic phase function. To calculate images by these methods, FFT algorithm is used three times, twice, and once, respectively.
In this paper, the reconstruction method with a propagation function is discussed and the condition of its applicability is determined. It is pointed out that the method with the analytical Fourier transform of the propagation function can be interpreted as a method with an equivalent propagation function.
Experiments on the construction of Fresnel zone plate and reconstructions from soundwave hologram are conducted by the three methods.
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