{"id":2218,"date":"2019-02-16T10:43:23","date_gmt":"2019-02-16T07:43:23","guid":{"rendered":"http:\/\/localhost\/unam\/?p=2218"},"modified":"2020-10-14T11:01:41","modified_gmt":"2020-10-14T08:01:41","slug":"elementary-mathematics-brings-star-treks-holodeck-closer-to-reality","status":"publish","type":"post","link":"https:\/\/unam.bilkent.edu.tr\/en\/2019\/02\/16\/elementary-mathematics-brings-star-treks-holodeck-closer-to-reality\/","title":{"rendered":"Elementary mathematics brings Star Trek\u2019s Holodeck closer to reality"},"content":{"rendered":"\n<p>For many years we have been hearing that holographic technology is one step closer to realizing Star Trek\u2019s famous Holodeck, a virtual reality stage that simulates any object in 3D as if they are real. Sadly, 3D holographic projection has never been realized. A team of scientists from Bilkent University and UNAM, again raised our hopes on Holodeck realization by showing the first realistic 3D holograms that can be viewed from any angle. Dr. Ghaith Makey, the lead author of the paper appearing in the April 2019 issue of Nature Photonics today, says \u201c<em>Our technique can work in realtime, and will surely pave the way to dynamic 3D video holography. Soon, it may be possible to create a simple version of a Holodeck<\/em>\u201d.<\/p>\n\n\n\n<p>3D holographic projection relies on back-to-back stacking of a large number of 2D images. The problem is, they cross-talk! Interference between the images makes the 3D projection fuzzy and far from realistic looking. The expectations have always been placed on the development of optical technology. Prof. F. \u00d6mer Ilday, the team leader, disagrees: \u201c<em>The reason of this cross-talk is the mathematics, not shortcomings of the physical components.&nbsp;Any pair of&nbsp;high-dimensional mutually random vectors tend to be orthogonal. This&nbsp;basic result is a consequence of the&nbsp;Central Limit Theorem and the Law of&nbsp;Large Numbers. We use this property, together with a neat, but traightforward&nbsp;wavefront&nbsp;engineering trick to add ra<\/em>ndom phase to each image, to eliminate&nbsp;cross-talk&nbsp;<em>without using any additional optics\u201d<\/em>. Prof. Onur Tokel, a co-author of the paper, adds \u201c<em>It was not possible to simultaneously project a 3D object\u2019s back, middle and front parts. We solve this issue through a simple connection between the equations developed by Jean-Baptiste Joseph Fourier and Augustin-Jean Fresnel in the early days of the field. Using this math property, we advance the&nbsp;state-of-the-art from the projection of 3-4 images to 1000 simultaneous projections!<\/em>\u201d<\/p>\n\n\n\n<p>\u201c<em>The best part is that 3D projection performance will become better and better with&nbsp;increasing hologram resolution because the orthogonality&nbsp;result becomes exact for&nbsp;infinite dimensions \u2014 as display technologies continue to improve and support higher-resolution, they enable ever more realistic&nbsp;looking holograms using our technique,<\/em>\u201d says Dr. Makey. The team believes that the full potential of holography may be unleashed if such a 3D capability is at hand. \u201c<em>Our holograms already&nbsp;surpass all previous digitally synthesized 3D holograms in every quality&nbsp;metric.&nbsp;Our&nbsp;method is universally applicable to all types of&nbsp;holographic media, be&nbsp;they static&nbsp;or dynamic holograms.&nbsp;Therefore, opportunities are vast. Immediate applications may be in 3D displays for medical visualization or air traffic control, but also laser-material interactions and microscopy<\/em>\u201d says Prof. Serim Ilday of the Bilkent team.<\/p>\n\n\n\n<p>\u201c<em>The most important concept associated with holography has always been the third dimension. This is even more clear with our new 3D projection capability. Many challenges remain, but we are one step closer to the visions defined by Holodeck in Star Trek; or Holovision of Isaac Asimov in the Foundation novels. Even Jules Verne touched upon the idea, in his book Carpathian Castle published in 1892,<\/em>\u201d adds Dr. Tokel.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>For many years we have been hearing that holographic technology is one step closer to realizing Star Trek\u2019s famous Holodeck, a virtual reality stage that simulates any object in 3D [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2219,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[34],"tags":[],"class_list":["post-2218","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news-2019"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.13 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Elementary mathematics brings Star Trek\u2019s Holodeck closer to reality - UNAM Nanoteknoloji Ara\u015ft\u0131rma Merkezi<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/unam.bilkent.edu.tr\/en\/2019\/02\/16\/elementary-mathematics-brings-star-treks-holodeck-closer-to-reality\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Elementary mathematics brings Star Trek\u2019s Holodeck closer to reality - 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