{"id":1540,"date":"2020-03-15T18:10:54","date_gmt":"2020-03-15T22:10:48","guid":{"rendered":"http:\/\/www.nuclearphysicslab.com\/npl\/?page_id=1540"},"modified":"2020-03-18T14:20:38","modified_gmt":"2020-03-18T18:20:38","slug":"axial-betatron-motion","status":"publish","type":"page","link":"http:\/\/www.nuclearphysicslab.com\/npl\/npl-home\/accelerators\/cyclotrons\/axial-betatron-motion\/","title":{"rendered":"Axial Betatron Motion"},"content":{"rendered":"\n<p class=\"has-text-align-center\"><em>Author: Tim<\/em><\/p>\n\n\n\n<p>This experiment shows the effect that shaping the magnetic field has on focusing the cyclotron&#8217;s beam.  If the beam wanders off of the mid-plane, the magnetic field pushes it back, but of course it then overshoots and goes below the mid-plane.  The magnetic field pushes the beam back up, and so it goes.  The beam oscillates about the mid-plane in the vertical (axial) direction as it spirals out in the horizontal plane.  These images show that action and is one of the most fundamental accelerator demonstrations this cyclotron provides.<\/p>\n\n\n\n<p>This paper describes the <a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/Betatron_Studies.pdf\">first observation of betatron<\/a> motion in our cyclotron.<\/p>\n\n\n\n<p>This paper goes more into the details of the <a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/weppt025.pdf\">betatron motion demonstrations<\/a> with the 12-Inch Cyclotron<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup3.jpg\"><img loading=\"lazy\" width=\"2048\" height=\"1362\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup3.jpg\" alt=\"\" class=\"wp-image-1555\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup3.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup3-768x511.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup3-1536x1022.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup3-406x270.jpg 406w\" sizes=\"(max-width: 2048px) 100vw, 2048px\" \/><\/a><figcaption>View into the cyclotron chamber through the &#8220;rectangular port.&#8221;<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_0165.jpg\"><img loading=\"lazy\" width=\"4256\" height=\"2832\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_0165.jpg\" alt=\"\" class=\"wp-image-1552\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_0165.jpg 4256w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_0165-768x511.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_0165-1536x1022.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_0165-2048x1363.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_0165-406x270.jpg 406w\" sizes=\"(max-width: 4256px) 100vw, 4256px\" \/><\/a><figcaption>When beam is on, and the cyclotron is tuned up, the green light from the phosphor screen can be bright enough to shine light out.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6162.jpg\"><img loading=\"lazy\" width=\"4256\" height=\"2832\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6162.jpg\" alt=\"\" class=\"wp-image-1545\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6162.jpg 4256w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6162-768x511.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6162-1536x1022.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6162-2048x1363.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6162-406x270.jpg 406w\" sizes=\"(max-width: 4256px) 100vw, 4256px\" \/><\/a><figcaption>This is what the human eye would see, just a dot, or sliver on the edge of the phosphor screen.  The beam image is its position profile at that particular radius.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup_1.jpg\"><img loading=\"lazy\" width=\"1504\" height=\"2016\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup_1.jpg\" alt=\"\" class=\"wp-image-1553\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup_1.jpg 1504w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup_1-768x1029.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup_1-1146x1536.jpg 1146w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup_1-201x270.jpg 201w\" sizes=\"(max-width: 1504px) 100vw, 1504px\" \/><\/a><figcaption>If you set up a camera to take a long exposure and slide the screen in-and-out during beam on time, the vertical motion of the beam will be &#8220;painted in.&#8221;<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup2.jpg\"><img loading=\"lazy\" width=\"2016\" height=\"1512\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup2.jpg\" alt=\"\" class=\"wp-image-1554\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup2.jpg 2016w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup2-768x576.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup2-1536x1152.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup2-360x270.jpg 360w\" sizes=\"(max-width: 2016px) 100vw, 2016px\" \/><\/a><figcaption>A typical setup.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup4.jpg\"><img loading=\"lazy\" width=\"2048\" height=\"1362\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup4.jpg\" alt=\"\" class=\"wp-image-1556\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup4.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup4-768x511.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup4-1536x1022.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/setup4-406x270.jpg 406w\" sizes=\"(max-width: 2048px) 100vw, 2048px\" \/><\/a><figcaption>The painted in image as seen from a few steps back.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9754-1.jpg\"><img loading=\"lazy\" width=\"4256\" height=\"2832\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9754-1.jpg\" alt=\"\" class=\"wp-image-1549\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9754-1.jpg 4256w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9754-1-768x511.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9754-1-1536x1022.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9754-1-2048x1363.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9754-1-406x270.jpg 406w\" sizes=\"(max-width: 4256px) 100vw, 4256px\" \/><\/a><figcaption>Here is an older photo of Tim sliding the radial probe during the image acquisition.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_8862-1.jpg\"><img loading=\"lazy\" width=\"4256\" height=\"2832\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_8862-1.jpg\" alt=\"\" class=\"wp-image-1546\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_8862-1.jpg 4256w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_8862-1-768x511.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_8862-1-1536x1022.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_8862-1-2048x1363.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_8862-1-406x270.jpg 406w\" sizes=\"(max-width: 4256px) 100vw, 4256px\" \/><\/a><figcaption>Tim&#8217;s favorite betatron motion image, this was taken will using the &#8220;good&#8221; weak focusing pole tips.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/ion_source_on-1.png\"><img loading=\"lazy\" width=\"1098\" height=\"1209\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/ion_source_on-1.png\" alt=\"\" class=\"wp-image-1541\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/ion_source_on-1.png 1098w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/ion_source_on-1-768x846.png 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/ion_source_on-1-245x270.png 245w\" sizes=\"(max-width: 1098px) 100vw, 1098px\" \/><\/a><figcaption>This is what a normal ion source looks like during cyclotron operation. Ions are being sprayed into the chamber in the mid-plane.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6531crop_n_rot.png\"><img loading=\"lazy\" width=\"921\" height=\"877\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6531crop_n_rot.png\" alt=\"\" class=\"wp-image-1543\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6531crop_n_rot.png 921w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6531crop_n_rot-768x731.png 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6531crop_n_rot-284x270.png 284w\" sizes=\"(max-width: 921px) 100vw, 921px\" \/><\/a><figcaption>This was a specially built ion source chimney with a major vertical offset, which intentionally gives the ions a vertical error.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6491cropped_1-1.png\"><img loading=\"lazy\" width=\"1809\" height=\"858\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6491cropped_1-1.png\" alt=\"\" class=\"wp-image-1542\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6491cropped_1-1.png 1809w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6491cropped_1-1-768x364.png 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6491cropped_1-1-1536x729.png 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TWK_6491cropped_1-1-569x270.png 569w\" sizes=\"(max-width: 1809px) 100vw, 1809px\" \/><\/a><figcaption>This image is the result of that large initial vertical error while operating with the &#8220;good&#8221; weak focusing pole tips.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/RU_Cyclotron_Betatron_Motion.jpg\"><img loading=\"lazy\" width=\"1112\" height=\"652\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/RU_Cyclotron_Betatron_Motion.jpg\" alt=\"\" class=\"wp-image-1544\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/RU_Cyclotron_Betatron_Motion.jpg 1112w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/RU_Cyclotron_Betatron_Motion-768x450.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/RU_Cyclotron_Betatron_Motion-460x270.jpg 460w\" sizes=\"(max-width: 1112px) 100vw, 1112px\" \/><\/a><figcaption>This image is the result of that large initial vertical error while operating with the AKG270 spiral poletips.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_3305.jpg\"><img loading=\"lazy\" width=\"4032\" height=\"3024\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_3305.jpg\" alt=\"\" class=\"wp-image-1551\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_3305.jpg 4032w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_3305-768x576.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_3305-1536x1152.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_3305-2048x1536.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_3305-360x270.jpg 360w\" sizes=\"(max-width: 4032px) 100vw, 4032px\" \/><\/a><figcaption>Here the cyclotron is outfitted with the &#8220;bad&#8221; weak focusing pole tips.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/walkinshaw_resonance.jpg\"><img loading=\"lazy\" width=\"1856\" height=\"896\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/walkinshaw_resonance.jpg\" alt=\"\" class=\"wp-image-1547\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/walkinshaw_resonance.jpg 1856w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/walkinshaw_resonance-768x371.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/walkinshaw_resonance-1536x742.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/walkinshaw_resonance-559x270.jpg 559w\" sizes=\"(max-width: 1856px) 100vw, 1856px\" \/><\/a><figcaption>The &#8220;bad&#8221; weak focusing poletips cause the beam to severely axially &#8220;blow up&#8221; and strike the cyclotron chamber DEE or lids and be lost.  This is known as the Walkinshaw resonance.<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Author: Tim This experiment shows the effect that shaping the magnetic field has on focusing the cyclotron&#8217;s beam. If the beam wanders off of the mid-plane, the magnetic field pushes it back, but of course it then overshoots and goes below the mid-plane. The magnetic field pushes the beam back up, and so it&#8230;<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"http:\/\/www.nuclearphysicslab.com\/npl\/npl-home\/accelerators\/cyclotrons\/axial-betatron-motion\/\"> Read More<span class=\"screen-reader-text\">  Read More<\/span><\/a><\/p>\n","protected":false},"author":3,"featured_media":1544,"parent":145,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"advanced-sidebar-menu\/link-title":"","advanced-sidebar-menu\/exclude-page":false},"categories":[10,62,11,37],"tags":[],"_links":{"self":[{"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/pages\/1540"}],"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=1540"}],"version-history":[{"count":7,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/pages\/1540\/revisions"}],"predecessor-version":[{"id":2127,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/pages\/1540\/revisions\/2127"}],"up":[{"embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/pages\/145"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/media\/1544"}],"wp:attachment":[{"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/media?parent=1540"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/categories?post=1540"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/tags?post=1540"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}