{"id":360,"date":"2021-04-29T11:18:05","date_gmt":"2021-04-29T08:18:05","guid":{"rendered":"https:\/\/phsites.technion.ac.il\/eribak\/?page_id=360"},"modified":"2022-01-13T12:18:54","modified_gmt":"2022-01-13T10:18:54","slug":"binary-crossing-a-linear-array-of-telescopes","status":"publish","type":"page","link":"https:\/\/phsites.technion.ac.il\/eribak\/binary-crossing-a-linear-array-of-telescopes\/","title":{"rendered":"Binary crossing a linear array of telescopes"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Erez Ribak<\/p>\n\n\n\n<div class=\"wp-block-genesis-blocks-gb-columns gb-layout-columns-2 gb-2-col-equal\"><div class=\"gb-layout-column-wrap gb-block-layout-column-gap-2 gb-is-responsive-column\">\n<div class=\"wp-block-genesis-blocks-gb-column gb-block-layout-column\"><div class=\"gb-block-layout-column-inner\">\n<p class=\"wp-block-paragraph\">The movies&nbsp;<a href=\"https:\/\/phsites.technion.ac.il\/videos\/eribak\/BinaryCrossing1.avi\">BinaryCrossing1.avi<\/a>&nbsp;and&nbsp;<a href=\"https:\/\/phsites.technion.ac.il\/videos\/eribak\/BinaryCrossing2.avi\">BinaryCrossing2.avi<\/a>&nbsp;(1.6MB each) or&nbsp;<a href=\"https:\/\/phsites.technion.ac.il\/videos\/eribak\/BinaryCrossing1.mpg\">BinaryCrossing1.mpg<\/a>&nbsp;and&nbsp;<a href=\"https:\/\/phsites.technion.ac.il\/videos\/eribak\/BinaryCrossing1.mpg\">BinaryCrossing2.mpg<\/a>&nbsp;(0.6MB each) are from a laboratory experiment demonstrating a combination of twelve beams in an interferometer, after the delay lines. An arc lamp illuminates two adjacent pinholes, simulating a binary, normal to the paper&nbsp;<a href=\"https:\/\/phsites.technion.ac.il\/eribak\/wp-content\/uploads\/sites\/61\/2021\/04\/BinaryCrossing.gif\">(Figure, a)<\/a>. Also normal to the paper, an array of lenslets is masked to pass only a strip of 12, where each beam is weakly focusing (namely the wave fronts are not planar). This is in order to show the separate beams. This strip is extended in the paper plane by a cylindrical telephoto, and after passing through a 90<sup>0<\/sup>&nbsp;shear interferometer, is re-imaged on a camera. The Sagnac interferometer&nbsp;<a href=\"https:\/\/phsites.technion.ac.il\/eribak\/wp-content\/uploads\/sites\/61\/2021\/04\/BinaryCrossing.gif\">(Figure, b)<\/a>. contains one beam splitter and four mirrors, one outside the paper plane, to rotate the images mutually. The pinholes are moved across the plane of the paper, to simulate meridian crossing. Imperfections in the image are due to the simple optics used; with better components many more beams could be combined. A liquid crystal retarder allows cancellation of residual polarisation effects, but is not required. No polarizers or colour filters were used.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-genesis-blocks-gb-column gb-block-layout-column\"><div class=\"gb-block-layout-column-inner\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"470\" height=\"372\" src=\"https:\/\/phsites.technion.ac.il\/eribak\/wp-content\/uploads\/sites\/61\/2021\/04\/BinaryCrossing.gif\" alt=\"\" class=\"wp-image-361\"\/><\/figure>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">In the interference pattern the diagonal shows the interference of each beam with itself, and other junctions show the contrast according to their mutual distance in the original&nbsp;<em>u-v<\/em>&nbsp;plane (here linear, but any re-mapping is possible). The main effect is the changing contrast in these cross-points, but the fringe density also changes, because of the varying angle at which the binary light hits the interferometer. In single-mode beams (such as from fibres) the fringe density remains the same.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">More details can be found in a&nbsp;<a href=\"https:\/\/phsites.technion.ac.il\/publications\/eribak\/RibakEtAlBeamComb.pdf\">preprint<\/a>&nbsp;(<em>Optics Letters<\/em>, 2007), by Erez Ribak, Mario&nbsp;Gai,&nbsp;Davide&nbsp;Loreggia&nbsp;and S. G. Lipson (Technion, Haifa, and INAF,&nbsp;Pino&nbsp;Torinese).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Erez Ribak In the interference pattern the diagonal shows the interference of each beam with itself, and other junctions show the contrast according to their mutual distance in the original&nbsp;u-v&nbsp;plane (here linear, but any re-mapping is possible). The main effect is the changing contrast in these cross-points, but the fringe density also changes, because of [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"class_list":["post-360","page","type-page","status-publish","entry","has-post-thumbnail"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Binary crossing a linear array of telescopes - Erez Ribak<\/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:\/\/phsites.technion.ac.il\/eribak\/binary-crossing-a-linear-array-of-telescopes\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Binary crossing a linear array of telescopes - Erez Ribak\" \/>\n<meta property=\"og:description\" content=\"Erez Ribak In the interference pattern the diagonal shows the interference of each beam with itself, and other junctions show the contrast according to their mutual distance in the original&nbsp;u-v&nbsp;plane (here linear, but any re-mapping is possible). 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