{"id":1906,"date":"2019-02-01T18:59:35","date_gmt":"2019-02-01T18:59:35","guid":{"rendered":"https:\/\/aviantechnologies.a2hosted.com\/aviantech\/?p=1906"},"modified":"2020-11-03T19:38:27","modified_gmt":"2020-11-03T19:38:27","slug":"what-we-measure-part-2-transmittance","status":"publish","type":"post","link":"https:\/\/aviantechnologies.com\/avianmirror\/2019\/02\/01\/what-we-measure-part-2-transmittance\/","title":{"rendered":"What We Measure, Part 2: Transmittance"},"content":{"rendered":"<div id=\"pl-1906\"  class=\"panel-layout\" >\n<div id=\"pg-1906-0\"  class=\"panel-grid panel-no-style\"  data-style=\"{&quot;background_image_attachment&quot;:false,&quot;background_display&quot;:&quot;tile&quot;,&quot;cell_alignment&quot;:&quot;flex-start&quot;}\"  data-ratio=\"1\"  data-ratio-direction=\"right\" >\n<div id=\"pgc-1906-0-0\"  class=\"panel-grid-cell\"  data-weight=\"1\" >\n<div id=\"panel-1906-0-0-0\" class=\"so-panel widget widget_sow-editor panel-first-child panel-last-child\" data-index=\"0\" data-style=\"{&quot;padding&quot;:&quot;10px 0px 0px 0px&quot;,&quot;background_image_attachment&quot;:false,&quot;background_display&quot;:&quot;tile&quot;}\" >\n<div class=\"panel-widget-style panel-widget-style-for-1906-0-0-0\" >\n<div class=\"so-widget-sow-editor so-widget-sow-editor-base\">\n<div class=\"siteorigin-widget-tinymce textwidget\">\n<p>Previously, we reviewed the first of the basic units we measure: <strong>reflectance<\/strong>.\u00a0We presented a simplified but rigorous definition of the way we quantify the flux reflected from a surface. In a similar way, this post addresses transmittance, which describes the flux that passes through an object, in particular if the spectral properties of the light have been affected. Science words for asking &#8220;is the sample colored?&#8221;<\/p>\n<p>There are several applications for transmittance, the most common being quantifying the color of filters. Most likely you are viewing this posting with an LCD monitor, and each pixel is actually a tiny back-lit triplet containing a red, green, and blue filter. The selection of these filters was a careful engineering decision based on the output of the backlight and many other factors. Filters serve this and many many other roles in science and technology, but we are getting ahead of ourselves.<\/p>\n<p>The basic equation for calculating transmittance is almost the same as that for reflectance:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1912 aligncenter\" src=\"https:\/\/aviantechnologies.a2hosted.com\/aviantech\/wp-content\/uploads\/transmittance_equation_transparent.png\" alt=\"Transmittance equation\" width=\"150\" height=\"93\" \/><\/p>\n<p>Similar to what we defined for reflectance, we use \u03a6 to indicate an amount of light, the subscripts t and i for transmitted and incident light. The diagram below shows the flow of light through the system. We have a light source, a beam of incident light passing through the sample, and then a detector measuring the amount of transmitted light. Since this measurement will depend on the specific optical path (properties of the illumination beam, and detection optics, etc) we refer to this as &#8220;transmittance factor.&#8221;<\/p>\n<p><a href=\"https:\/\/aviantechnologies.a2hosted.com\/aviantech\/wp-content\/uploads\/transmittance_transparent.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-1911 aligncenter\" src=\"https:\/\/aviantechnologies.a2hosted.com\/aviantech\/wp-content\/uploads\/transmittance_transparent-300x102.png\" alt=\"Transmittance diagram\" width=\"300\" height=\"102\" srcset=\"https:\/\/aviantechnologies.com\/avianmirror\/wp-content\/uploads\/transmittance_transparent-300x102.png 300w, https:\/\/aviantechnologies.com\/avianmirror\/wp-content\/uploads\/transmittance_transparent-768x260.png 768w, https:\/\/aviantechnologies.com\/avianmirror\/wp-content\/uploads\/transmittance_transparent-1024x347.png 1024w, https:\/\/aviantechnologies.com\/avianmirror\/wp-content\/uploads\/transmittance_transparent-600x203.png 600w, https:\/\/aviantechnologies.com\/avianmirror\/wp-content\/uploads\/transmittance_transparent.png 1093w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p><a href=\"https:\/\/aviantechnologies.a2hosted.com\/aviantech\/wp-content\/uploads\/transmittance_cal_Transparent.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1914 aligncenter\" src=\"https:\/\/aviantechnologies.a2hosted.com\/aviantech\/wp-content\/uploads\/transmittance_cal_Transparent-300x102.png\" alt=\"Transmittance Diagram 2\" width=\"300\" height=\"102\" srcset=\"https:\/\/aviantechnologies.com\/avianmirror\/wp-content\/uploads\/transmittance_cal_Transparent-300x102.png 300w, https:\/\/aviantechnologies.com\/avianmirror\/wp-content\/uploads\/transmittance_cal_Transparent-768x260.png 768w, https:\/\/aviantechnologies.com\/avianmirror\/wp-content\/uploads\/transmittance_cal_Transparent-1024x347.png 1024w, https:\/\/aviantechnologies.com\/avianmirror\/wp-content\/uploads\/transmittance_cal_Transparent-600x203.png 600w, https:\/\/aviantechnologies.com\/avianmirror\/wp-content\/uploads\/transmittance_cal_Transparent.png 1093w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>The good news with transmittance is that standardizing the instrument is a bit easier than with reflectance. To measure the incident light \u03a6<i>i<\/i>\u00a0we need only remove the sample and make a measurement. The incident light passes through to the detector unaffected. We assume \u03a6<i>i = <\/i>\u03a6<i>t <\/i>and the standardization is complete. To be strictly correct, we need to compensate for the detector dark signal \u03a6<i>d<\/i>\u00a0and the transmittance of the standard T<i>s<\/i>:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1913\" src=\"https:\/\/aviantechnologies.a2hosted.com\/aviantech\/wp-content\/uploads\/transmittance_eq_complete_transparent.png\" alt=\"Transmittance equation complete\" width=\"175\" height=\"65\" srcset=\"https:\/\/aviantechnologies.com\/avianmirror\/wp-content\/uploads\/transmittance_eq_complete_transparent.png 351w, https:\/\/aviantechnologies.com\/avianmirror\/wp-content\/uploads\/transmittance_eq_complete_transparent-300x111.png 300w\" sizes=\"auto, (max-width: 175px) 100vw, 175px\" \/><\/p>\n<p>For many applications. T<i>s<\/i>\u00a0is 1.0 since our reference standard was simply air. For measuring liquids, a clear glass cuvette is used. For the standardization step, a cuvette is installed, usually filled with the carrier in your sample (water or a solvent) and then measured for T<i>s<\/i>. In this case T<i>s<\/i>\u00a0can be slightly less than 1.0.<\/p>\n<p>These measurements are quite straightforward so long as the sample is non-scattering. That is, it does not affect the direction of light travel, only the spectral properties of the light (via absorption). For scattering samples, transmittance factor is much more dependent on the measurement geometry. That is, the optical configuration. But that will be another post.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"pg-1906-1\"  class=\"panel-grid panel-no-style\"  data-style=\"{&quot;background_image_attachment&quot;:false,&quot;background_display&quot;:&quot;tile&quot;,&quot;cell_alignment&quot;:&quot;flex-start&quot;}\"  data-ratio=\"0.61803398\"  data-ratio-direction=\"right\" >\n<div id=\"pgc-1906-1-0\"  class=\"panel-grid-cell\"  data-weight=\"0.61803399209206\" >\n<div id=\"panel-1906-1-0-0\" class=\"so-panel widget widget_sow-editor panel-first-child panel-last-child\" data-index=\"1\" data-style=\"{&quot;background_image_attachment&quot;:false,&quot;background_display&quot;:&quot;tile&quot;}\" >\n<div class=\"so-widget-sow-editor so-widget-sow-editor-base\">\n<div class=\"siteorigin-widget-tinymce textwidget\">\n<h4>Join the conversation!<\/h4>\n<p>Questions? Comments? Contact us on social media, or by <a href=\"mailto:info@aviantechnologies.com\">email<\/a>.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"pgc-1906-1-1\"  class=\"panel-grid-cell\"  data-weight=\"0.38196600790794\" >\n<div id=\"panel-1906-1-1-0\" class=\"so-panel widget widget_sow-social-media-buttons panel-first-child panel-last-child\" data-index=\"2\" data-style=\"{&quot;background_image_attachment&quot;:false,&quot;background_display&quot;:&quot;tile&quot;}\" >[siteorigin_widget class=&#8221;SiteOrigin_Widget_SocialMediaButtons_Widget&#8221;]<input type=\"hidden\" value=\"{&quot;instance&quot;:{&quot;title&quot;:&quot;&quot;,&quot;networks&quot;:[{&quot;name&quot;:&quot;twitter&quot;,&quot;url&quot;:&quot;https:\\\/\\\/twitter.com\\\/AvianTechNH&quot;,&quot;icon_title&quot;:&quot;Twitter&quot;,&quot;icon_color&quot;:&quot;#ffffff&quot;,&quot;button_color&quot;:&quot;#78bdf1&quot;},{&quot;name&quot;:&quot;facebook&quot;,&quot;url&quot;:&quot;https:\\\/\\\/www.facebook.com\\\/aviantechnologiesllc\\\/&quot;,&quot;icon_title&quot;:&quot;Facebook&quot;,&quot;icon_color&quot;:&quot;#ffffff&quot;,&quot;button_color&quot;:&quot;#3a5795&quot;},{&quot;name&quot;:&quot;linkedin&quot;,&quot;url&quot;:&quot;https:\\\/\\\/www.linkedin.com\\\/company\\\/avian-technologies-llc\\\/&quot;,&quot;icon_title&quot;:&quot;LinkedIn&quot;,&quot;icon_color&quot;:&quot;#ffffff&quot;,&quot;button_color&quot;:&quot;#0177b4&quot;}],&quot;design&quot;:{&quot;new_window&quot;:true,&quot;theme&quot;:&quot;flat&quot;,&quot;hover&quot;:true,&quot;icon_size&quot;:&quot;1&quot;,&quot;rounding&quot;:&quot;0.25&quot;,&quot;padding&quot;:&quot;1&quot;,&quot;align&quot;:&quot;center&quot;,&quot;mobile_align&quot;:&quot;center&quot;,&quot;margin&quot;:&quot;0.1&quot;,&quot;so_field_container_state&quot;:&quot;open&quot;},&quot;id&quot;:&quot;sow-social-media-buttons-172910002&quot;,&quot;option_name&quot;:&quot;widget_sow-social-media-buttons&quot;,&quot;so_sidebar_emulator_id&quot;:&quot;sow-social-media-buttons-190610002&quot;},&quot;args&quot;:{&quot;before_widget&quot;:&quot;&lt;div id=\\&quot;panel-1906-1-1-0\\&quot; class=\\&quot;so-panel widget widget_sow-social-media-buttons panel-first-child panel-last-child\\&quot; data-index=\\&quot;2\\&quot; data-style=\\&quot;{&amp;quot;background_image_attachment&amp;quot;:false,&amp;quot;background_display&amp;quot;:&amp;quot;tile&amp;quot;}\\&quot; &gt;&quot;,&quot;after_widget&quot;:&quot;&lt;\\\/div&gt;&quot;,&quot;before_title&quot;:&quot;&lt;h3 class=\\&quot;widget-title\\&quot;&gt;&quot;,&quot;after_title&quot;:&quot;&lt;\\\/h3&gt;&quot;,&quot;widget_id&quot;:&quot;widget-1-1-0&quot;}}\" \/>[\/siteorigin_widget]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<style type=\"text\/css\" class=\"panels-style\" data-panels-style-for-post=\"1906\">@import url(https:\/\/aviantechnologies.com\/avianmirror\/wp-content\/plugins\/siteorigin-panels\/css\/front-flex.min.css); #pgc-1906-0-0 { width:100%;width:calc(100% - ( 0 * 30px ) ) } #pg-1906-0 , #pl-1906 .so-panel { margin-bottom:5px } #pgc-1906-1-0 { width:61.8034%;width:calc(61.8034% - ( 0.38196600790794 * 30px ) ) } #pgc-1906-1-1 { width:38.1966%;width:calc(38.1966% - ( 0.61803399209206 * 30px ) ) } #pl-1906 .so-panel:last-child { margin-bottom:0px } #pg-1906-0.panel-no-style, #pg-1906-0.panel-has-style > .panel-row-style , #pg-1906-1.panel-no-style, #pg-1906-1.panel-has-style > .panel-row-style { -webkit-align-items:flex-start;align-items:flex-start } #panel-1906-0-0-0> .panel-widget-style { padding:10px 0px 0px 0px } @media (max-width:320px){ #pg-1906-0.panel-no-style, #pg-1906-0.panel-has-style > .panel-row-style , #pg-1906-1.panel-no-style, #pg-1906-1.panel-has-style > .panel-row-style { -webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column } #pg-1906-0 > .panel-grid-cell , #pg-1906-0 > .panel-row-style > .panel-grid-cell , #pg-1906-1 > .panel-grid-cell , #pg-1906-1 > .panel-row-style > .panel-grid-cell { width:100%;margin-right:0 } #pg-1906-0 , #pg-1906-1 { margin-bottom:px } #pgc-1906-1-0 { margin-bottom:5px } #pl-1906 .panel-grid-cell { padding:0 } #pl-1906 .panel-grid .panel-grid-cell-empty { display:none } #pl-1906 .panel-grid .panel-grid-cell-mobile-last { margin-bottom:0px }  } <\/style>\n","protected":false},"excerpt":{"rendered":"<p>Previously, we reviewed the first of the basic units we measure: reflectance.\u00a0We presented a simplified but rigorous definition of the way we quantify the flux reflected from a surface. In a similar way, this post addresses transmittance, which describes the flux that passes through an object, in particular if the spectral properties of the light [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[99],"tags":[],"class_list":["post-1906","post","type-post","status-publish","format-standard","hentry","category-resources","entry","owp-thumbs-layout-horizontal","owp-btn-normal","owp-tabs-layout-horizontal","has-no-thumbnails","has-product-nav"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>What We Measure, Part 2: Transmittance - Avian Technologies<\/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:\/\/aviantechnologies.com\/avianmirror\/2019\/02\/01\/what-we-measure-part-2-transmittance\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What We Measure, Part 2: Transmittance - Avian Technologies\" \/>\n<meta property=\"og:description\" content=\"Previously, we reviewed the first of the basic units we measure: reflectance.\u00a0We presented a simplified but rigorous definition of the way we quantify the flux reflected from a surface. 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