{"id":3546,"date":"2019-05-23T14:31:28","date_gmt":"2019-05-23T14:31:28","guid":{"rendered":"https:\/\/labsites.wdev.rochester.edu\/fienup\/?page_id=3546"},"modified":"2019-06-06T13:34:12","modified_gmt":"2019-06-06T13:34:12","slug":"imaging-through-atmospheric-turbulence-with-multiple-phase-screens","status":"publish","type":"page","link":"https:\/\/labsites.rochester.edu\/fienup\/research\/imaging-through-atmospheric-turbulence-with-multiple-phase-screens\/","title":{"rendered":"Imaging through Atmospheric Turbulence with Multiple Phase Screens"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Abbie Tippie&#8217;s Research<\/h2>\n\n\n\n<p>Atmospheric turbulence severely limits the resolution of many optical  systems.\u00a0 Without compensation or correction techniques, telescopes and  other imaging systems are limited not by the aperture size of the  system but by <em>r<\/em>o, the size of the coherence diameter of the  atmosphere (Fried&#8217;s parameter). This creates a unique set of problems  when imaging large or multiple objects.\u00a0 The result is anisoplanatic  imaging, or space-variant imaging in which portions of the object pass  through different regions of turbulence.\u00a0 My research involves  anisoplanatic image reconstruction of objects in the presence of  extended volume turbulence.\u00a0 <\/p>\n\n\n\n<p>For our work, we are currently using coherent laser  illumination to image through atmospheric turbulence.\u00a0 Using digital holography or heterodyne detection techniques, we can recover both the  phase and amplitude information of the optical field in the plane of  detection.\u00a0 Knowing the phase and amplitude of the field allows us to  propagate the field to any plane.\u00a0 We use this information in a  nonlinear optimization process to maximize the sharpness of the image in  the object plane.\u00a0 The goal of our research is to develop mathematical  techniques to computationally estimate and correct for volume phase  errors.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"504\" height=\"257\" src=\"https:\/\/labsites.rochester.edu\/fienup\/wp-content\/uploads\/2019\/06\/holography_setups.jpg\" alt=\"\" class=\"wp-image-4936\" srcset=\"https:\/\/labsites.rochester.edu\/fienup\/wp-content\/uploads\/2019\/06\/holography_setups.jpg 504w, https:\/\/labsites.rochester.edu\/fienup\/wp-content\/uploads\/2019\/06\/holography_setups-300x153.jpg 300w\" sizes=\"auto, (max-width: 504px) 100vw, 504px\" \/><figcaption><strong>Fig. 1 \u2013 Diagram of holography experiment with multiple thin phase screens present in the propagation path.<\/strong><\/figcaption><\/figure><\/div>\n\n\n\n<p>We have shown this nonlinear optimization technique to be successful at solving for phase aberrations in multiple planes and reconstructing an image of the object for digital simulation experiments.  We simulated realistic imaging conditions, including strength of turbulence, propagation distance and detector size.  We have taken careful consideration to avoid aliasing and wrap-around effects that can be present in digital simulations.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/labsites.rochester.edu\/fienup\/wp-content\/uploads\/2019\/06\/image_reconstruction.jpg\" alt=\"\" class=\"wp-image-4946\" width=\"419\" height=\"140\" srcset=\"https:\/\/labsites.rochester.edu\/fienup\/wp-content\/uploads\/2019\/06\/image_reconstruction.jpg 393w, https:\/\/labsites.rochester.edu\/fienup\/wp-content\/uploads\/2019\/06\/image_reconstruction-300x100.jpg 300w\" sizes=\"auto, (max-width: 419px) 100vw, 419px\" \/><figcaption><strong>Fig. 2 \u2013 Image reconstruction results by using a sharpness  metric nonlinear optimization technique.&nbsp; (a) Ideal image, (b) Resulting  image without correcting for atmospheric phase errors, and (c)  Recovered image after computationally estimating and correcting for  phase errors.<\/strong><\/figcaption><\/figure><\/div>\n\n\n\n<p>In our future work, we would like to increase the robustness of this technique to allow for even more challenging imaging conditions such as optimization over unknown phase screen locations and forward model \/ reconstruction model mismatch.  We are also in the process of performing laboratory experiments to further support this technique. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Abbie Tippie&#8217;s Research Atmospheric turbulence severely limits the resolution of many optical systems.\u00a0 Without compensation or correction techniques, telescopes and other imaging systems are limited not by the aperture size of the system but by ro, the size of the coherence diameter of the atmosphere (Fried&#8217;s parameter). This creates a unique set of problems when &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/labsites.rochester.edu\/fienup\/research\/imaging-through-atmospheric-turbulence-with-multiple-phase-screens\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Imaging through Atmospheric Turbulence with Multiple Phase Screens&#8221;<\/span><\/a><\/p>\n","protected":false},"author":0,"featured_media":0,"parent":3436,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-3546","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/labsites.rochester.edu\/fienup\/wp-json\/wp\/v2\/pages\/3546","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/labsites.rochester.edu\/fienup\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/labsites.rochester.edu\/fienup\/wp-json\/wp\/v2\/types\/page"}],"replies":[{"embeddable":true,"href":"https:\/\/labsites.rochester.edu\/fienup\/wp-json\/wp\/v2\/comments?post=3546"}],"version-history":[{"count":4,"href":"https:\/\/labsites.rochester.edu\/fienup\/wp-json\/wp\/v2\/pages\/3546\/revisions"}],"predecessor-version":[{"id":5096,"href":"https:\/\/labsites.rochester.edu\/fienup\/wp-json\/wp\/v2\/pages\/3546\/revisions\/5096"}],"up":[{"embeddable":true,"href":"https:\/\/labsites.rochester.edu\/fienup\/wp-json\/wp\/v2\/pages\/3436"}],"wp:attachment":[{"href":"https:\/\/labsites.rochester.edu\/fienup\/wp-json\/wp\/v2\/media?parent=3546"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}