Abstract
This paper presents a new method of multispectral hyperbolic incoherent holography in which a hyperbolic volume interferogram was directly measured by an appropriate designed interferometer. This method enables to obtain a set of spectral components of three-dimensional images and continuous spectra for spatially incoherent, polychromatic objects. We introduced a calibration method of a phase aberration of the interferometer. The spectral resolution and spatial resolutions are investigated based on analytical solution of impulse response function of hyperbolic holography. From experimental results and theoretical predictions, the validity of the calibration method was confirmed. Experimental results agree with the theoretical ones. Consequently, the retrieved images obtained by the method are shown to demonstrate the performance of the method.
Highlights
Digital holographic technique has been extending its application area in recent years [1]
By choosing the appropriate selection rule used in the synthetic aperture technique, several types of volume interferogram have been created such as spherical type (S-type) volume interferogram [9, 10], hyperbolic type (H-type) volume interferogram [11], rotated hyperbolic type (RH-type) volume interferogram [12], and others [14]
This spectral profile is obtained by Fourier transform respect to thickness Z along the center of the volume interferogram
Summary
Digital holographic technique has been extending its application area in recent years [1]. The present method is based on alternated design of two-wavefront folding interferometer This method has three advanced features; first, we can obtain directly the hyperbolic volume interferogram from measurement of optical intensity on the optical axis. The spectral resolution and spatial resolutions are investigated based on new analytical solution of IRF of hyperbolic holography. These results are compared with the experimental results. We find that the phase aberration cause by non-ideal properties of interferometer is introduced Theoretical predictions obtained from the analytical solution of IRF are shown, for comparison with experimental results These results lead to the final conclusion of the present article, stated in Sect.
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