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Use of spatial spectrum of light to recover three-dimensional holographic nature

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Abstract

Two new concepts are deduced—those of hoxels and spatial spectrum by vector expression of four- dimensional Fourier transform integrals of the wave function or probability amplitude of any quantized energy probability distribution sampled by photons of this nature. Spatial spectrum collecting and recovering processes through hoxels by camera–projector arrays and holographic functional screens are proposed in detail to recover this three-dimensional holographic nature as a reinvention of holography. A real-time holographic display by simple aggregation of a digital camera–projector array is demonstrated as a rudimentary holographic television by holographic concepts, but without the need for coherent interference, as in conventional holography, or the encoded spatial frequency pattern of digital holography.

© 2010 Optical Society of America

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