{"id":555,"date":"2011-03-01T07:30:52","date_gmt":"2011-03-01T07:30:52","guid":{"rendered":"http:\/\/occamstypewriter.org\/rpg\/?p=555"},"modified":"2011-02-28T22:06:28","modified_gmt":"2011-02-28T22:06:28","slug":"on-the-hairy-nature-of-light","status":"publish","type":"post","link":"https:\/\/occamstypewriter.org\/rpg\/2011\/03\/01\/on-the-hairy-nature-of-light\/","title":{"rendered":"On the hairy nature of light"},"content":{"rendered":"<p>One of the <em>least<\/em> strange physical phenomena is that light behaves like a wave. Some of the time, at least. (The Younger Pawn asked if she could surf on light, if it was a wave. I said only if she was really really small.)<\/p>\n<p>Physics teachers demonstrate the wave nature of light using the double-slit, or Young&#8217;s, experiment. This is quite easy to understand, if you&#8217;re at all familiar with the movement of waves upon water: when a wave (of water or light) hits a barrier in which there is a small aperture, you get waves spreading out from the other side of the barrier.<\/p>\n<p>But if you have two apertures (or slits) in the barrier, then the two waves interfere with each other, and you get a well-known pattern. I was going to draw a diagram but as usual, somebody on the internet <a href=\"http:\/\/www.rhunt.f9.co.uk\/Experiments\/Youngs_Slits\/Youngs_Slits_Page1.htm\">has already done it for me<\/a>. Even in <a href=\"http:\/\/www.strings.ph.qmul.ac.uk\/~bigdraw\/doubleslit\/slide3.html\">three dimensions<\/a>.<\/p>\n<p><img src =\"http:\/\/www.astro.uni-bonn.de\/~wucknitz\/gravlens\/Fig1-10NEW.gif\" alt=\"interference\" \/><br \/>\n<small><em><a href=\"http:\/\/www.astro.uni-bonn.de\/~wucknitz\/gravlens\/\">Olaf Wucknitz<\/a><\/em><\/small><\/p>\n<p>For this to work however, you generally need a coherent light source. Traditionally this involves a pinhole and an <a href=\"http:\/\/en.wikipedia.org\/wiki\/File:Youngs_slits.gif\">incoherent source<\/a> (which is not what necessarily you put on your kebab after a hard night&#8217;s drinking)\u2014hence the <em>S<\/em><sub>0<\/sub> in the above diagram\u2014and a lens to refocus the whole shebang. In high school physics lessons they tend to use a laser as the coherent source, and highly expensive engineered twin slit gizmos that the physics teacher gets really upset about if it goes missing.<\/p>\n<p>A couple of weeks ago I was at a film-making workshop and somebody showed a clip that was meant to demonstrate the problems of lighting labs for camera. One of the problematic experiments had a rather large static laser, some smoke to see the beam, a screen and lots of what you might call &#8216;proper&#8217; equipment. The actual experiment was incidental, but I caught a glimpse of it and was intrigued. <\/p>\n<p>It was, in fact, a variation on the double-slit experiment. The experimenter shone the laser at a wall, and then moved a wire into the beam. Naively, you&#8217;d expect the wire to cast a shadow on the wall. But what actually happens is that the wire acts as the partition between two virtual slits: the laser beam is split in two, and simulates a coherent light source shining simultaneously through two slits. And you get the laddering pattern on the wall.<\/p>\n<p>Cool, I thought.<\/p>\n<p>Wait a minute, I thought.<\/p>\n<p>I&#8217;ve got a laser. I&#8217;ve got several in fact: weedy 1 milliWatt laser pointers with the old F1000 branding. I also, because every kid knows lasers are cool and I&#8217;m just a big kid at heart and <em>it was there<\/em>, have a green 50 mW laser which is a whole heap of fun. I mainly use it for intimidating the dirty pigeons in our garden.<\/p>\n<p>So I raided the hairbrush, held a hair over the end of my laser pointer, and demonstrated the wave nature of light:<\/p>\n<p><a href=\"http:\/\/www.flickr.com\/photos\/pommiebastards\/5486989212\/\" title=\"wave nature by Pommiebastards, on Flickr\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/farm6.static.flickr.com\/5218\/5486989212_040ae039d5.jpg\" width=\"500\" height=\"373\" alt=\"wave nature\" \/><\/a><br \/>\n<small><em>Photo by J. Rohn<\/em><\/small><\/p>\n<p>The distance from the central spot to the middle of the second maximum is about 4 cm. A human hair is about 100 \u00b5m diameter. Now, constructive interference occurs when<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/upload.wikimedia.org\/math\/6\/a\/5\/6a5b5013681bbbc49b9fc5160cdb05ae.png\" \/><\/p>\n<p>and assuming &theta; is less than about 10&deg;<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/upload.wikimedia.org\/math\/e\/9\/5\/e9528c1be45a74fbf1a0c53d0ff7c50a.png\" \/><br \/>\n(from <a href=\"http:\/\/en.wikipedia.org\/wiki\/Double-slit_experiment\">Wikipedia<\/a>)<\/p>\n<p>then 2 x &lambda; = (0.04 x 0.0001)\/4 = 1 x 10<sup>-6<\/sup> = 1 &micro;m.<\/p>\n<p>So the wavelength of my laser is about 500 nm. Seeing as it&#8217;s rated as 532 nm and I&#8217;m a biologist, I&#8217;d call that a result.<\/p>\n<p><em>Postscript<\/em><\/p>\n<p>A couple of years ago I wrote a poem, called <a href=\"http:\/\/www.lablit.com\/article\/417\">Morning<\/a>. It contains the line,<\/p>\n<p><em>and sunlight rainbows through Fresnel hair:<\/em><\/p>\n<p>which annoyed a certain <a href=\"http:\/\/occamstypewriter.org\/scurry\/\">Stephen Curry<\/a>, who was upset at the thought of hair diffracting anything on the wavelength of light. I took this as a sign that the good professor has no poetry in his soul, but I now feel scientifically vindicated, in that I have been able to use hair to do this experiment and Fresnel expanded Young&#8217;s famous experiment (and came up with an experimentally <a href=\"http:\/\/www.schoolphysics.co.uk\/age16-19\/Wave%20properties\/Interference\/text\/Fresnel_biprism\/index.html\">better version<\/a>, lasers not being available to him), supporting the wave theory of light. So there.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>One of the least strange physical phenomena is that light behaves like a wave. Some of the time, at least. (The Younger Pawn asked if she could surf on light, if it was a wave. I said only if she &hellip; <a href=\"https:\/\/occamstypewriter.org\/rpg\/2011\/03\/01\/on-the-hairy-nature-of-light\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[34],"tags":[94,93,95],"class_list":["post-555","post","type-post","status-publish","format-standard","hentry","category-science","tag-laser","tag-light-wave","tag-pawns"],"_links":{"self":[{"href":"https:\/\/occamstypewriter.org\/rpg\/wp-json\/wp\/v2\/posts\/555","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/occamstypewriter.org\/rpg\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/occamstypewriter.org\/rpg\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/occamstypewriter.org\/rpg\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/occamstypewriter.org\/rpg\/wp-json\/wp\/v2\/comments?post=555"}],"version-history":[{"count":0,"href":"https:\/\/occamstypewriter.org\/rpg\/wp-json\/wp\/v2\/posts\/555\/revisions"}],"wp:attachment":[{"href":"https:\/\/occamstypewriter.org\/rpg\/wp-json\/wp\/v2\/media?parent=555"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/occamstypewriter.org\/rpg\/wp-json\/wp\/v2\/categories?post=555"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/occamstypewriter.org\/rpg\/wp-json\/wp\/v2\/tags?post=555"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}