A novel telescope, The Dual Use Exoplanet Telescope (DUET), is designed to directly take spectra of an exoplanet with extremely high resolution spectroscopy based on the primary objective --- a lightweight annular Gabor Zone-Plate (GZP). The zone-plate functions as a converter that transforms incident starlight directly into a spectrogram. In this paper, we will present the design of an annular GZP hologram based on the interference of two spherical waves. We will show, through an analytical solution, that the focal-length of the zone-plate can be tailored by tuning the radius-ofcurvature of the two spherical waves. The grating period of the GZP hologram is variable and decreasing from center to outer region, which brings the incoming star-light to focus. A desirable focal-length and the spherical symmetry of a zone-plate hologram will result in an unusual on-axis dispersive behavior of the incoming star-light. Furthermore, the preliminary laboratory tests of the GZP hologram will be presented. We will illustrate a successful implementation of a scale model optical system for realizing such a telescope GZP-hologram. Particularly, we will demonstrate that a GZPhologram can achieve a spectral dispersion of =430-650nm over an on-axis distance of 19cm.
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