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2009•Optics & Optoelectronic TechnologyRequires access

Numerical Reconstruction of Holography Based on Two-Dimensional Window Fourier Transform

Jiawen Weng, Yang Chuping

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Abstract

Two-dimensional(2-D) window Fourier transform is used to analyze the digital hologram.At first,the two-dimensional (2-D) Gauss function and the 2-D window Fourier transform are introduced.It proves that the sum of the spectrum obtained by the 2-D window Fourier transform is equal to the spectrum obtained by the Fourier transform in theory. For the analysis of the digital holography,the +1 spectrum is extracted in the window with the Gauss function and by changing the central position of the window.The precision of the reconstructed image can be improved.

About this research paper

What this paper is about

Two-dimensional(2-D) window Fourier transform is used to analyze the digital hologram.At first,the two-dimensional (2-D) Gauss function and the 2-D window Fourier transform are introduced.It proves that the sum of the spectrum obtained by the 2-D window Fourier transform is equal to the spectrum obtained by the Fourier transform in theory. For the analysis of the digital holography,the +1 spectrum is extracted in the window with the Gauss function and by changing the central position of the window.The precision of the reconstructed image can be improved.

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Available abstract

Two-dimensional(2-D) window Fourier transform is used to analyze the digital hologram.At first,the two-dimensional (2-D) Gauss function and the 2-D window Fourier transform are introduced.It proves that the sum of the spectrum obtained by the 2-D window Fourier transform is equal to the spectrum obtained by the Fourier transform in theory. For the analysis of the digital holography,the +1 spectrum is extracted in the window with the Gauss function and by changing the central position of the window.The precision of the reconstructed image can be improved.

Key concepts: Window function, Short-time Fourier transform, Fourier transform, Discrete-time Fourier transform, Fractional Fourier transform, Window (computing), Non-uniform discrete Fourier transform, Discrete Fourier transform (general)

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