{"id":1086,"date":"2014-04-21T16:44:42","date_gmt":"2014-04-21T23:44:42","guid":{"rendered":"http:\/\/www.ramblemuse.com\/rmtp\/?p=1086"},"modified":"2014-04-23T08:05:09","modified_gmt":"2014-04-23T15:05:09","slug":"about-the-not-so-far-far-infrared","status":"publish","type":"post","link":"https:\/\/www.ramblemuse.com\/rmtp\/2014\/04\/21\/about-the-not-so-far-far-infrared\/","title":{"rendered":"About the (not  so far) Far Infrared"},"content":{"rendered":"<p>When it comes to the electromagnetic spectrum, I tend to view things from the perspective of an atmospheric or astro- physicist. Normally, to me, the term far infrared means that part of the infrared spectrum at wavelengths longer than 25\u00b5m (one \u00b5m being one-millionth of a meter). This <a href=\"http:\/\/www.ipac.caltech.edu\/outreach\/Edu\/Regions\/irregions.html\" rel=\"external\">page at Cal\u00a0Tech<\/a> gives the astrophysical use of the divisions for near, mid, and far infrared and another Cal\u00a0Tech pages goes further into talking about <a href=\"http:\/\/coolcosmos.ipac.caltech.edu\/page\/what_is_infrared\" rel=\"external\">What is Infrared?<\/a>.<\/p>\n<p>Journeying\u00a0 into the domain of medical technology, however, we encounter a different set of divisions recommended by the CIE (<a title=\"International Commission on Illumination\" href=\"http:\/\/en.wikipedia.org\/wiki\/International_Commission_on_Illumination\" rel=\"external\">International Commission on Illumination<\/a>).<\/p>\n<div style=\"width: 80%; margin: auto;\">\n<table style=\"width: 80%;\">\n<caption><strong>CIE Infrared Wavelength Divisions<\/strong><\/caption>\n<thead>\n<tr>\n<th style=\"text-align: left;\">Band<\/th>\n<th style=\"text-align: center;\">Name<\/th>\n<th style=\"text-align: center;\">Wavelength Range<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>IR-A<\/td>\n<td style=\"text-align: center;\">near<\/td>\n<td style=\"text-align: center;\">0.7 \u00b5m \u2013 1.4 \u00b5m<\/td>\n<\/tr>\n<tr>\n<td>IR-B<\/td>\n<td style=\"text-align: center;\">middle<\/td>\n<td style=\"text-align: center;\">1.4 \u00b5m \u2013 3.0 \u00b5m<\/td>\n<\/tr>\n<tr>\n<td>IR-C<\/td>\n<td style=\"text-align: center;\">far<\/td>\n<td style=\"text-align: center;\">3.0 \u00b5m \u2013 1000 \u00b5m<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>It&#8217;s this latter set of divisions that prompts the title of this piece. To this physicist\/writer, the CIE &#8220;far infrared&#8221; just doesn&#8217;t seem to start all that far out.<\/p>\n<p>If one searches on &#8220;far infrared&#8221; what comes up is a combination of pages with some actual science mixed with product promotion pages written by people who seemingly haven&#8217;t a clue about infrared. I&#8217;m going to ignore phrases like \u201cquantum energetics\u201d and \u201csuperconducting&rdquo; that are simply word-salad hype and focus just on issues about the far infrared (FIR).<\/p>\n<h3>Infrared and the Solar Spectrum<\/h3>\n<p>One misconception that gets written is that the FIR band has some connection with photosynthesis. It doesn&#8217;t. Photosynthesis uses both red and blue visible light (shorter wavelengths than IR) as shown in this <a href=\"http:\/\/hyperphysics.phy-astr.gsu.edu\/hbase\/biology\/ligabs.html\" rel=\"external\">hyperphysics explainer<\/a>.<\/p>\n<p>Another, to some extent related, misconception is that the FIR band has a significant amount of solar energy. While about 53% of solar energy is in the infrared, most of it is in the IR-A and IR-B bands, with only about 2% in the IR-C band. Here&#8217;s a quick look at the solar emission spectrum. Note the red lines showing the IR band boundaries and, in particular, the tiny one on the right at 3\u00b5m.<\/p>\n<div style=\"width: 300px; margin: auto;\">\n<div id=\"attachment_1095\" style=\"width: 310px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.ramblemuse.com\/rmtp\/wp-content\/uploads\/2014\/04\/SolarInput.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-1095\" class=\"size-medium wp-image-1095\" src=\"http:\/\/www.ramblemuse.com\/rmtp\/wp-content\/uploads\/2014\/04\/SolarInput-300x226.png\" alt=\"Solar Blackbody Spectrum\" width=\"300\" height=\"226\" srcset=\"https:\/\/www.ramblemuse.com\/rmtp\/wp-content\/uploads\/2014\/04\/SolarInput-300x226.png 300w, https:\/\/www.ramblemuse.com\/rmtp\/wp-content\/uploads\/2014\/04\/SolarInput-150x113.png 150w, https:\/\/www.ramblemuse.com\/rmtp\/wp-content\/uploads\/2014\/04\/SolarInput.png 815w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><p id=\"caption-attachment-1095\" class=\"wp-caption-text\">Solar Blackbody Spectrum. The dash black line shows the wavelength of maximum emission. The dash-dot red lines show the CIE IR band limits.<\/p><\/div>\n<\/div>\n<p>The actual percentages of the solar emission are in the following table. These were obtained by doing a trapezoidal integration over the entire spectrum and, separately, over each band at 0.001\u00a0\u00b5m (1&nbsp;nm) resolution (for those who want to know such details). It&#8217;s pretty obvious that the FIR band (IR-C) contains only a very minor part of the solar spectrum. Thinking otherwise is a rope you can&#8217;t push.<\/p>\n<div style=\"width: 320px; margin: 10px auto;\">\n<table style=\"width: 320px;\">\n<caption><strong>Percentage of Solar Emission in IR Bands<\/strong><\/caption>\n<thead>\n<tr>\n<th style=\"text-align: left;\">Band<\/th>\n<th style=\"text-align: center;\">Wavelength limits<\/th>\n<th>Percent<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>IR-A<\/td>\n<td style=\"text-align: center;\">0.7 \u2013 1.4<\/td>\n<td style=\"text-align: center;\">37.1<\/td>\n<\/tr>\n<tr>\n<td>IR-B<\/td>\n<td style=\"text-align: center;\">1.4 \u2013 3.0<\/td>\n<td style=\"text-align: center;\">11.9<\/td>\n<\/tr>\n<tr>\n<td>IR-C<\/td>\n<td style=\"text-align: center;\">3.0 \u2013 20.0<\/td>\n<td style=\"text-align: center;\">2.1<\/td>\n<\/tr>\n<tr>\n<td>Total IR<\/td>\n<td style=\"text-align: center;\">\u00a00.7\u00a0\u2013 20.0<\/td>\n<td style=\"text-align: center;\">51.1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h3>Far Infrared and Skin Penetration<\/h3>\n<p>Now, I&#8217;m going to shift over to two types of &#8220;health products&#8221;, one being infrared \u201csaunas\u201d that have emitters between 300\u00baC and 400\u00baC. The other would be some kind of IR \u201creflective\u201d mat that would emit back heat absorbed from the person laying on it; at 37\u00baC (body temperature) or somewhat below. Vatansever and Hamblin (2012) provide a <a href=\"http:\/\/www.ncbi.nlm.nih.gov\/pubmed\/23833705\" rel=\"external\">general review<\/a> of this territory. Crinnion (2011) delves into the <a href=\"http:\/\/www.altmedrev.com\/publications\/16\/3\/215.pdf\" rel=\"external\">theme of saunas<\/a>, including infrared ones.<\/p>\n<p>While skin has a window of transparency in the near-IR, at wavelengths longer than one \u00b5m the absorption by liquid water increases rapidly. Since human tissue is about 70% water, that also means that such tissue rapidly becomes opaque to IR as the wavelength increases into the FIR. This is consistent with what Crinnion states.<\/p>\n<blockquote><p>According to research published in the 1930s, near-infrared (IR-A) has the greatest tissue penetration of the three, while far-infrared (IR-C) has practically no penetration. IR-A (700 nm \u2013 1400 nm) has a tissue<br \/>\npenetration up to 5 mm. This wavelength penetrates to the subcutaneous layer and provides the best dissipation of heat from the skin surface. Mid-infrared (IR-B; 1400 nm \u2013 3000 nm) has the next deepest tissue penetration (about 0.5 mm). IR-C (3,000 nm \u2013 1 mm) has a tissue penetration of about 0.1 mm.<\/p><\/blockquote>\n<p>I checked this out both at the sauna temperatures and at body temperature. I used the <a href=\"http:\/\/dx.doi.org\/10.1364\/AO.12.000555\" rel=\"external\">liquid water optical properties<\/a> from Hale and Querry (1973) along with Planck function (spectral blackbody calculations, integrating the incident energy and energy penetrating to several depths and expressing the latter as a percentage of the former. In doing this I adjusted the Hale and Querry data both for tissue being only 70% water and for nonnormal incidence. For the incidence, I used a &ldquo;diffusivity factor&rdquo; of 1.66 to scale the depth.<\/p>\n<div style=\"width: 475px; margin: 10px auto;\">\n<table style=\"width: 475px;\">\n<caption><strong>Skin Penetration Depths for Emission at Several Temperatures<br \/>\n<\/strong><\/caption>\n<thead>\n<tr>\n<th style=\"text-align: center;\">Depth (cm)<\/th>\n<th style=\"text-align: center;\">37\u00baC<\/th>\n<th style=\"text-align: center;\">300\u00baC<\/th>\n<th style=\"text-align: center;\">350\u00baC<\/th>\n<th style=\"text-align: center;\">400\u00baC<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">0.001<\/td>\n<td style=\"text-align: center;\">23.952 %<\/td>\n<td style=\"text-align: center;\">43.243 %<\/td>\n<td style=\"text-align: center;\">45.305 %<\/td>\n<td style=\"text-align: center;\">47.059 %<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">0.010<\/td>\n<td style=\"text-align: center;\">0.2361 %<\/td>\n<td style=\"text-align: center;\">2.7760 %<\/td>\n<td style=\"text-align: center;\">3.6335 %<\/td>\n<td style=\"text-align: center;\">4.6449 %<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">0.100<\/td>\n<td style=\"text-align: center;\">0.0000 %<\/td>\n<td style=\"text-align: center;\">0.0733 %<\/td>\n<td style=\"text-align: center;\">0.1475 %<\/td>\n<td style=\"text-align: center;\">0.2663 %<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1.000<\/td>\n<td style=\"text-align: center;\">0.0000 %<\/td>\n<td style=\"text-align: center;\">0.0001 %<\/td>\n<td style=\"text-align: center;\">0.0005 %<\/td>\n<td style=\"text-align: center;\">0.0017 %<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>Why we get this very limited penetration of the radiation emitted at these temperatures becomes more apparent when we compare the blackbody spectra with that of the absorption coefficients. As a rough rule, the penetration depth (in cm) is one over the absorption coefficients. First for body temperature:<\/p>\n<div style=\"width: 300px; margin: 10px auto;\">\n<div id=\"attachment_1103\" style=\"width: 310px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.ramblemuse.com\/rmtp\/wp-content\/uploads\/2014\/04\/IRBodyTemp_SpectralIrradiance.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-1103\" src=\"http:\/\/www.ramblemuse.com\/rmtp\/wp-content\/uploads\/2014\/04\/IRBodyTemp_SpectralIrradiance-300x226.png\" alt=\"Infrared Emission at Body \" width=\"300\" height=\"226\" class=\"size-medium wp-image-1103\" srcset=\"https:\/\/www.ramblemuse.com\/rmtp\/wp-content\/uploads\/2014\/04\/IRBodyTemp_SpectralIrradiance-300x226.png 300w, https:\/\/www.ramblemuse.com\/rmtp\/wp-content\/uploads\/2014\/04\/IRBodyTemp_SpectralIrradiance-150x113.png 150w, https:\/\/www.ramblemuse.com\/rmtp\/wp-content\/uploads\/2014\/04\/IRBodyTemp_SpectralIrradiance.png 815w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><p id=\"caption-attachment-1103\" class=\"wp-caption-text\">Infrared Emission at Body Temperature (top) along with Liquid Water Absorption Coefficients (bottom).<\/p><\/div>\n<\/div>\n<p>And next for temperatures in the range of those for IR saunas:<\/p>\n<div style=\"width: 300px; margin: 10px auto;\">\n<div id=\"attachment_1104\" style=\"width: 310px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.ramblemuse.com\/rmtp\/wp-content\/uploads\/2014\/04\/IRSauna_SpectralIrradiance.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-1104\" src=\"http:\/\/www.ramblemuse.com\/rmtp\/wp-content\/uploads\/2014\/04\/IRSauna_SpectralIrradiance-300x226.png\" alt=\"Blackbody Emission for Infrared Saunas\" width=\"300\" height=\"226\" class=\"size-medium wp-image-1104\" srcset=\"https:\/\/www.ramblemuse.com\/rmtp\/wp-content\/uploads\/2014\/04\/IRSauna_SpectralIrradiance-300x226.png 300w, https:\/\/www.ramblemuse.com\/rmtp\/wp-content\/uploads\/2014\/04\/IRSauna_SpectralIrradiance-150x113.png 150w, https:\/\/www.ramblemuse.com\/rmtp\/wp-content\/uploads\/2014\/04\/IRSauna_SpectralIrradiance.png 815w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><p id=\"caption-attachment-1104\" class=\"wp-caption-text\">Blackbody Emission for Infrared Saunas along with Liquid Water Absorption Coefficients.<\/p><\/div>\n<\/div>\n<p>The IR at these emission temperatures will be absorbed at the surface. The short summary is that there&#8217;s no energy where there&#8217;s transparency and no transparency where there&#8217;s energy. The heat may reach deeper layers via circulation and conduction but it won&#8217;t penetrate directly.  That&#8217;s a dog that won&#8217;t hunt.<\/p>\n<p>I thank Alice Sanvito and Katie Stade for a <a href=\"https:\/\/www.facebook.com\/alice.sanvito.lmt\/posts\/657054517711806?stream_ref=10\" rel=\"external\">Facebook discussion<\/a> that stimulated this post.<\/p>\n<p>Addendum (04\/22): If you want penetrating heat, you need to be in the IR-A band. There&#8217;s a technology that does that &mdash; it&#8217;s called an incandescent heat lamp, such as <a href=\"http:\/\/www.infraphil.info\/Philips_Infraphil-PAR38E.pdf\" rel=\"external\">these<\/a>. Take a look at the charts on penetration depth and emission spectra.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>When it comes to the electromagnetic spectrum, I tend to view things from the perspective of an atmospheric or astro- physicist. Normally, to me, the term far infrared means that part of the infrared spectrum at wavelengths longer than 25\u00b5m (one \u00b5m being one-millionth of a meter). This page at Cal\u00a0Tech gives the astrophysical use [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[129,5,109],"tags":[],"class_list":["post-1086","post","type-post","status-publish","format-standard","hentry","category-biology","category-health","category-massage-therapy"],"_links":{"self":[{"href":"https:\/\/www.ramblemuse.com\/rmtp\/wp-json\/wp\/v2\/posts\/1086","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ramblemuse.com\/rmtp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ramblemuse.com\/rmtp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ramblemuse.com\/rmtp\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ramblemuse.com\/rmtp\/wp-json\/wp\/v2\/comments?post=1086"}],"version-history":[{"count":31,"href":"https:\/\/www.ramblemuse.com\/rmtp\/wp-json\/wp\/v2\/posts\/1086\/revisions"}],"predecessor-version":[{"id":1122,"href":"https:\/\/www.ramblemuse.com\/rmtp\/wp-json\/wp\/v2\/posts\/1086\/revisions\/1122"}],"wp:attachment":[{"href":"https:\/\/www.ramblemuse.com\/rmtp\/wp-json\/wp\/v2\/media?parent=1086"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ramblemuse.com\/rmtp\/wp-json\/wp\/v2\/categories?post=1086"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ramblemuse.com\/rmtp\/wp-json\/wp\/v2\/tags?post=1086"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}