Multispectral hyperbolic incoherent holography

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.

Multispectral incoherent holography based on measurement of differential wavefront curvature

“…Finally, we note that the measurement time of this experiment is 256 s for 256 frames. This is about 295 times shorter than our previous work [16] that takes 21 h, because the present method uses single-axis PZT scan instead of the 3D scan by a single-axis PZT and independent two-axes stages. Measurement time of the previous method is quite long, because each stage stops at every sampling point for measuring.…”

“…14a, b). Figures 15,16,17,18 compare the reconstructed results from the 4D IRF and the experimental results. The in-focus image over the x i -y i plane at z i = 0 mm calculated from an analytical solution of 4D IRF in Eq.…”

“…Variations of the method have been developed, including the hyperbolic-type method (H-type) [14] and rotated hyperbolic-type method [15]. Variations have also been extended to single-pixel imaging, in which an H-type volume interferogram can be measured directly without using a synthetic aperture technique [16]. Each variation has its own advantages; however, these methods generally have a long measurement time.…”