Experimental validation of model-based digital holographic imaging using multi-shot data

Imaging through deep turbulence is a hard and unsolved problem. There have been recent advances toward sensing and correcting moderate turbulence using digital holography (DH). With DH, we use optical heterodyne detection to sense the amplitude and phase of the light reflected from an object. This phase information allows us to digitally back propagate the measured field to estimate and correct distributed-volume aberrations. Recently, we developed a model-based iterative reconstruction (MBIR) algorithm for sensing and correcting atmospheric turbulence using multi-shot DH data (i.e., multiple holographic measurements). Using simulation, we showed the ability to correct deep-turbulence effects, loosely characterized by Rytov numbers greater than 0.75 and isoplanatic angles near the diffraction limited viewing angle. In this work, we demonstrate the validity of our method using laboratory measurements. Our experiments utilized a combination of multiple calibrated Kolmogorov phase screens along the propagation path to emulate distributed-volume turbulence. This controlled laboratory setup allowed us to demonstrate our algorithm’s performance in deep turbulence conditions using real data.

[1]  Mark F. Spencer,et al.  Model-based digital holographic imaging using mulit-shot data , 2021, Optical Engineering + Applications.

[2]  Derek J. Burrell,et al.  Wave-optics simulation of dynamic speckle: II. In an image plane. , 2021, Applied optics.

[3]  Derek J. Burrell,et al.  Wave-optics simulation of dynamic speckle: I. In a pupil plane. , 2021, Applied optics.

[4]  J. Goodman Speckle Phenomena in Optics: Theory and Applications , 2020 .

[5]  Casey J. Pellizzari,et al.  Imaging through distributed-volume aberrations using single-shot digital holography. , 2019, Journal of the Optical Society of America. A, Optics, image science, and vision.

[6]  Charles A. Bouman,et al.  Phase-error estimation and image reconstruction from digital-holography data using a Bayesian framework , 2017, Journal of the Optical Society of America. A, Optics, image science, and vision.

[7]  Mark F. Spencer,et al.  Deep-turbulence wavefront sensing using digital-holographic detection in the off-axis image plane recording geometry , 2016 .

[8]  Ting-Chung Poon,et al.  Introduction to Modern Digital Holography: With Matlab , 2014 .

[9]  James R Fienup,et al.  Multiple-plane anisoplanatic phase correction in a laboratory digital holography experiment. , 2010, Optics letters.

[10]  Jason D. Schmidt,et al.  Numerical Simulation of Optical Wave Propagation With Examples in MATLAB , 2010 .

[11]  Nathan Seldomridge,et al.  Atmospheric turbulence correction using digital holographic detection: experimental results. , 2009, Optics express.

[12]  Abbie E. Tippie,et al.  Phase-error correction for multiple planes using a sharpness metric , 2009 .

[13]  James R Fienup,et al.  Phase-error correction in digital holography. , 2008, Journal of the Optical Society of America. A, Optics, image science, and vision.

[14]  James R Fienup,et al.  Correction of anisoplanatic phase errors in digital holography. , 2008, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  Jean-Baptiste Thibault,et al.  A three-dimensional statistical approach to improved image quality for multislice helical CT. , 2007, Medical physics.

[16]  L. Andrews,et al.  Laser Beam Propagation Through Random Media , 1998 .

[17]  Diego Alberto,et al.  Implementing Large Eddy Simulation to Numerical Simulation of Optical Wave Propagation , 2018 .

[18]  Casey J. Pellizzari,et al.  Demonstration of single-shot digital holography using a Bayesian framework. , 2018, Journal of the Optical Society of America. A, Optics, image science, and vision.

[19]  Abbie E. Tippie,et al.  Aberration Correction in Digital Holography , 2012 .