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Andrew M. Weiner, Editor-in-Chief
Sehoon Lim, Kerkil Choi, Joonku Hahn, Daniel L. Marks, and David J. Brady
Sehoon Lim, Kerkil Choi, Joonku Hahn, Daniel L. Marks, and David J. Brady*
Duke University Fitzpatrick Center for Photonics and Communications Systems, Durham, North Carolina 27708,
*Corresponding author: firstname.lastname@example.org
High pixel count apertures for digital holography may be synthesized by scanning smaller aperture detector arrays. Characterization and compensation for registration errors in the detector array position and pitch and for phase instability between the reference and object field is a major challenge in scanned systems. We use a secondary sensor to monitor phase and image-based registration parameter estimators to demonstrate near diffraction-limited resolution from a 63.4 mm aperture synthesized by scanning a 5.28 mm subaperture over 144 transverse positions. We demonstrate 60 μm resolution at 2 m range.
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Schematic for image-based synthetic aperture holography: (a) scattered field Es
and reference field R form a hologram in the detector plane by propagating the distances, zd
, respectively, and (b) dynamic camera scans patch by patch within a reinitialized block. Note that Ãi j
describes the error-impacted measurement of a measurement subset Ai j
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Flow chart of the error estimation processes for image-based synthetic aperture holography. The estimated errors are denoted in the processes.
Experimental setup: (a) the field generation consists of a HeNe (633 nm laser), M (mirrors), BS1–5 (beam splitters), AF (1951 USAF resolution target), OBJ+P (microscopic objective lens and pinhole), and L (lens), and (b) photographs of the field generation system (left) and the field detection system (right). Object 1 is a performance test object and Object 2 is a depth imaging object.
Piston phase correlation in two distant cameras: the red continuous line is the relative phase variation of camera 1 and the blue dotted line is the relative phase variation of camera 2.
Evolution of estimation effects on the guiding features image: the left and right hand guiding features of (a) the raw data image, (b) the piston phase compensated image, (c) the hologram block synthesized image, (d) the WA hologram synthesized image, (e) the zoomed-in image of (d), and (f) the zoomed-in image of reference field estimated image. Also, (g) the estimated reference field discrepancy. Note that the image pixel resolution is 4.4 μm in the angular spectrum method.
Resolution improvement to the number of hologram patches in the guiding features: (a), (b), and (c) show the images of 1×1, 3×3, and 12×12 hologram patches in the left-hand AF targets. Also, (d), (e), and (f) show the images of 1×1, 3×3, and 12×12 hologram patches in the right-hand AF targets.
(Media 1) Zoom-in movie starts from a full FOV image at 63.4 × 63.4 mm to a zoomed-in image at 2.1 × 2.1 mm. The zoomed image focuses on the CPU chip.
The images of the AF targets in the depth imaging experiment: (a) left-hand guiding features, (b) performance test features, and (c) right-hand guiding features of the raw data. Also, (d) left-hand guiding features, (e) performance test features, and (f) right-hand guiding features of the hologram synthesis.
The image of the CPU chip: resolution improvement to the number of hologram patches showing the images of (a) the 1×1 hologram patch, (b) the 3×3 hologram patches, and (c) the 12×12 hologram patches. Also, comparison of the images of (d) the un-synthesized hologram, (e) the synthesized hologram, and (f) the real photograph. Note that this object is placed 44 mm closer to the detector plane than the guiding features’ plane.
The monitored piston phase variation of scanned 144 hologram patches.
Table 1 The estimated parameters of the detector registration errors and the reference field errors for the WA hologram synthesis.
Table 2 The Chebychev coefficients for the reference field discrepancy.
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The estimated parameters of the detector registration errors and the reference field errors for the WA hologram synthesis.
The Chebychev coefficients for the reference field discrepancy.