Abstract
We propose a technique of multispectral incoherent holography. The differential wavefront curvature is measured, and the principle of Fourier transform spectrometry is applied to provide a set of spectral components of three-dimensional images and continuous spectra for spatially incoherent, polychromatic objects. This paper presents the mathematical formulation of the principle and the experimental results. Three-dimensional imaging properties are investigated based on an analytical impulse response function. The experimental and theoretical results agree well.
Highlights
Various techniques have been developed to expand the applications of incoherent holography [1,2,3,4]
256 80 nm 1024 square 6.9 μm According as the spectral profiles of the metal halide lamp (MHL) and blue LED in Fig. 3, we focus on two spectral peaks located at 470.8 and 553.5 nm
We presented experimental and theoretical studies of multispectral incoherent holography, which is based on measuring differential wavefront curvature
Summary
Various techniques have been developed to expand the applications of incoherent holography [1,2,3,4]. We introduced the synthetic aperture technique to advance digital holographic 3D imaging spectrometry [12, 13] This method is called the spherical-type method, because the fringe patterns recorded in the measured volume interferogram are arranged in the same way as spherical wavefronts propagating from the object. To characterize the spatial imaging properties in the lateral and depth directions and the spectral resolution, a new analytical solution of the impulse response function (IRF) under the paraxial approximation is derived. This IRF is defined over four-dimensional (4D) (x, y, z, ) space. Part of this work has been presented elsewhere in the literature [17]
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