{"id":1302,"date":"2020-03-12T22:37:54","date_gmt":"2020-03-13T02:37:18","guid":{"rendered":"http:\/\/www.nuclearphysicslab.com\/npl\/?page_id=1302"},"modified":"2020-03-20T18:28:56","modified_gmt":"2020-03-20T22:28:56","slug":"plasma-betatron-coil-b-dot-measurement","status":"publish","type":"page","link":"http:\/\/www.nuclearphysicslab.com\/npl\/npl-home\/accelerators\/betatrons\/plasma-betatron-coil-b-dot-measurement\/","title":{"rendered":"Pulsed B-Dot Measurement"},"content":{"rendered":"\n<p class=\"has-text-align-center\"><em>Author: Tim<\/em><\/p>\n\n\n\n<p>After construction of the betatron coil form it was necessary to verify the field profile.&nbsp; Because of the few number of windings it was impossible to energize the coils with a sufficient&nbsp; DC current so as to perform a typical Hall Probe raster scan.&nbsp; A pulsed current method of measuring was needed.&nbsp; The actual betatron pulsed power supply would then also suffice for energizing the measured field.&nbsp; <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_5842.jpg\"><img loading=\"lazy\" width=\"4256\" height=\"2832\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_5842.jpg\" alt=\"\" class=\"wp-image-1307\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_5842.jpg 4256w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_5842-768x511.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_5842-1536x1022.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_5842-2048x1363.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_5842-406x270.jpg 406w\" sizes=\"(max-width: 4256px) 100vw, 4256px\" \/><\/a><\/figure>\n\n\n\n<p>Two B-dot probes were designed. The first version only had 8 pickup coils, each spaced 0.760 inches apart with a total of 100 turns.&nbsp; This turned out to be too coarse a spacing and much too sensitive with 100 turns each \u2013 nearly generating 1000 volts during a modest field pulse.&nbsp; A second B-dot probe was developed with 0.500 spacing and 16 coils of only 20 turns which produced a more reasonable voltage.&nbsp; <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_3293.jpg\"><img loading=\"lazy\" width=\"4256\" height=\"2832\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_3293.jpg\" alt=\"\" class=\"wp-image-1312\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_3293.jpg 4256w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_3293-768x511.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_3293-1536x1022.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_3293-2048x1363.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_3293-406x270.jpg 406w\" sizes=\"(max-width: 4256px) 100vw, 4256px\" \/><\/a><\/figure>\n\n\n\n<p>Because of the high density of leads in the second B-dot probe a second, signal fan-out board was necessary, a short ribbon cable interconnects the two.&nbsp; The B-dot board was populated with 16 pickup coils. The data acquisition included four four-channel 100 MHz oscilloscopes for a total of 16 channel of digitization.&nbsp; This was adequate as the 16th coil measured to a radial distance of 190mm more than encompassing the designed equilibrium orbit at 114mm.&nbsp; <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_2433.jpg\"><img loading=\"lazy\" width=\"4256\" height=\"2832\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_2433.jpg\" alt=\"\" class=\"wp-image-1308\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_2433.jpg 4256w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_2433-768x511.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_2433-1536x1022.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_2433-2048x1363.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_2433-406x270.jpg 406w\" sizes=\"(max-width: 4256px) 100vw, 4256px\" \/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_3280.jpg\"><img loading=\"lazy\" width=\"4256\" height=\"2832\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_3280.jpg\" alt=\"\" class=\"wp-image-1310\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_3280.jpg 4256w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_3280-768x511.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_3280-1536x1022.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_3280-2048x1363.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_3280-406x270.jpg 406w\" sizes=\"(max-width: 4256px) 100vw, 4256px\" \/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_2467.jpg\"><img loading=\"lazy\" width=\"4256\" height=\"2832\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_2467.jpg\" alt=\"\" class=\"wp-image-1309\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_2467.jpg 4256w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_2467-768x511.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_2467-1536x1022.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_2467-2048x1363.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_2467-406x270.jpg 406w\" sizes=\"(max-width: 4256px) 100vw, 4256px\" \/><\/a><\/figure>\n\n\n\n<p>Because the measurement campaign was to include 16 channel per shot, and at least 10 shots per increment of vertical former space, an automated data acquisition system was necessary for speed and reliably.&nbsp; A USB-based MATLAB control and acquisition script was written to prepare all four of the oscilloscopes for measurement and perform the data collection post shot. <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_1592.jpg\"><img loading=\"lazy\" width=\"3024\" height=\"3024\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_1592.jpg\" alt=\"\" class=\"wp-image-1304\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_1592.jpg 3024w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_1592-500x500.jpg 500w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_1592-768x768.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_1592-1536x1536.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_1592-2048x2048.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_1592-270x270.jpg 270w\" sizes=\"(max-width: 3024px) 100vw, 3024px\" \/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/RawScopeTraces.jpg\"><img loading=\"lazy\" width=\"5000\" height=\"3882\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/RawScopeTraces-5000x3882.jpg\" alt=\"\" class=\"wp-image-1306\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/RawScopeTraces-5000x3882.jpg 5000w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/RawScopeTraces-768x596.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/RawScopeTraces-1536x1193.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/RawScopeTraces-2048x1590.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/RawScopeTraces-348x270.jpg 348w\" sizes=\"(max-width: 5000px) 100vw, 5000px\" \/><\/a><\/figure>\n\n\n\n<p>The following plot compares various pulsed B-Dot measurements to the expected field from simulation.  The data is normalized to the location of the electron beam orbit. There is a large discrepancy between the simulated fields and the measured profile.  Within the experimentally measured profiles there is disagreement too, and this will be the topic of another post.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/Aprilruns_norm_EO.jpg\"><img loading=\"lazy\" width=\"1120\" height=\"854\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/Aprilruns_norm_EO.jpg\" alt=\"\" class=\"wp-image-1303\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/Aprilruns_norm_EO.jpg 1120w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/Aprilruns_norm_EO-768x586.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/Aprilruns_norm_EO-354x270.jpg 354w\" sizes=\"(max-width: 1120px) 100vw, 1120px\" \/><\/a><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Author: Tim After construction of the betatron coil form it was necessary to verify the field profile.&nbsp; Because of the few number of windings it was impossible to energize the coils with a sufficient&nbsp; DC current so as to perform a typical Hall Probe raster scan.&nbsp; A pulsed current method of measuring was needed.&nbsp;&#8230;<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"http:\/\/www.nuclearphysicslab.com\/npl\/npl-home\/accelerators\/betatrons\/plasma-betatron-coil-b-dot-measurement\/\"> Read More<span class=\"screen-reader-text\">  Read More<\/span><\/a><\/p>\n","protected":false},"author":3,"featured_media":1313,"parent":151,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"advanced-sidebar-menu\/link-title":"","advanced-sidebar-menu\/exclude-page":false},"categories":[10,14,59,37],"tags":[],"_links":{"self":[{"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/pages\/1302"}],"collection":[{"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/comments?post=1302"}],"version-history":[{"count":8,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/pages\/1302\/revisions"}],"predecessor-version":[{"id":2607,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/pages\/1302\/revisions\/2607"}],"up":[{"embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/pages\/151"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/media\/1313"}],"wp:attachment":[{"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/media?parent=1302"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/categories?post=1302"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/tags?post=1302"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}