{"id":60,"date":"2022-04-27T07:13:02","date_gmt":"2022-04-27T11:13:02","guid":{"rendered":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/chapter\/12-photons-as-retinal-images\/"},"modified":"2022-05-12T17:58:45","modified_gmt":"2022-05-12T21:58:45","slug":"12-photons-as-retinal-images","status":"publish","type":"chapter","link":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/chapter\/12-photons-as-retinal-images\/","title":{"raw":"PHOTONS AS RETINAL IMAGES","rendered":"PHOTONS AS RETINAL IMAGES"},"content":{"raw":"<div class=\"12.-photons-as-retinal-images\">\r\n<p style=\"text-align: right\">p. 37<\/p>\r\nLenses are how our eyes sort the confusion of rays to produce an <strong><em>image<\/em><\/strong> that contains the information about where the rays came from. They do this by forming an image -\r\n<p class=\"import-Normal\" style=\"margin-left: 93.85pt\"><img src=\"http:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-content\/uploads\/sites\/69\/2022\/04\/image19-1.jpeg\" alt=\"image\" width=\"841.939422572179px\" height=\"423.68px\" \/><\/p>\r\n&nbsp;\r\n<p style=\"text-align: right\">p. 38<\/p>\r\n- an IMAGE like this on the <strong style=\"text-align: initial;text-indent: 4pt;font-size: 1em\"><em>retina<\/em><\/strong><span style=\"text-align: initial;text-indent: 4pt;font-size: 1em\"> at the back of the eye:<\/span><img src=\"http:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-content\/uploads\/sites\/69\/2022\/04\/proton7-1.jpg\" alt=\"\" class=\"alignright wp-image-203\" width=\"500\" height=\"376\" \/>\r\n\r\nWhen inversion and reversal of the image in our eye was discovered in the Middle Ages, it mystified philosophers.<sup>5<\/sup>\r\n\r\n<\/div>\r\n<p class=\"12.-photons-as-retinal-images\">The answer to that \u201clittle\u201d inconsistency between optics and perception turns out to <span style=\"text-align: initial;font-size: 1em\">be more profound than any mystery in physics.<\/span><\/p>\r\n<p class=\"12.-photons-as-retinal-images\">It is not explainable by some possible 1800 twist of neural connections from the <em>retina<\/em>. Here\u2019s why: After a few days\u2019 confusion, persons wearing \u201cglasses\u201d that turn the image right side up find the world <span style=\"text-align: initial;font-size: 1em\">appearing normal.<\/span><\/p>\r\n<p class=\"12.-photons-as-retinal-images\"><span style=\"text-align: initial;font-size: 1em\"> Evidently the <\/span><strong style=\"text-align: initial;font-size: 1em\"><em>visual<\/em><\/strong><span style=\"text-align: initial;font-size: 1em\"> image is not constrained by neuroanatomy.<\/span><\/p>\r\n&nbsp;\r\n<p style=\"text-align: right\">p.39<\/p>\r\nConsider the retinal image. Though it appears to be continuous, that image is sensed by individual receptor cells in the <em>retina<\/em>.\r\n\r\nThe ability to sense the direction from which photons have arrived depends on the size of the retinal receptors and focal length of the eye. A typical photoreceptor has a diameter of 2.5 micrometers and is located at the focal point of the eye, some 25 millimeters behind the lens. By trigonometry the receptor subtends a 22 second angle with respect to the lens\u2019 center. Because congruent angles are equal, that is the receptor\u2019s <strong><em>field<\/em><\/strong> <strong><em>of<\/em><\/strong> <strong><em>view<\/em><\/strong> - how much of the world it responds to.\r\n<p class=\"import-Normal\" style=\"margin-left: 41.35pt\"><img src=\"http:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-content\/uploads\/sites\/69\/2022\/04\/image33.jpeg\" alt=\"image\" width=\"866.713175853018px\" height=\"418.949921259843px\" \/><\/p>\r\n<strong>*<\/strong>NB In vertebrate eyes the light sensitive end of the photoreceptors not only faces away from the lens, it is also covered by the rest of its cell body and by several types of nerve cells and nerve fibers that, fortunately, are nearly transparent. (Why this backwards design, and only in vertebrates? That\u2019s another story.)<sup>6<\/sup>\r\n\r\n&nbsp;\r\n<p style=\"text-align: right\">p. 40<\/p>\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n<h3 style=\"text-align: center\"><strong>However,<\/strong> <strong>the<\/strong> <strong>photoreceptors<\/strong> <strong>would not respond<\/strong> <strong>to<\/strong> <strong>the<\/strong> <strong>photons<\/strong> <strong>in the<\/strong> <strong>image<\/strong> <strong>w<\/strong><strong>ere<\/strong> <strong>it<\/strong> <strong>not for<\/strong> <strong>another<\/strong> <strong>property<\/strong> <strong>of<\/strong> <strong>photons:<\/strong><\/h3>\r\n<p class=\"import-Normal\"><\/p>","rendered":"<div class=\"12.-photons-as-retinal-images\">\n<p style=\"text-align: right\">p. 37<\/p>\n<p>Lenses are how our eyes sort the confusion of rays to produce an <strong><em>image<\/em><\/strong> that contains the information about where the rays came from. They do this by forming an image &#8211;<\/p>\n<p class=\"import-Normal\" style=\"margin-left: 93.85pt\"><img decoding=\"async\" src=\"http:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-content\/uploads\/sites\/69\/2022\/04\/image19-1.jpeg\" alt=\"image\" width=\"841.939422572179px\" height=\"423.68px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: right\">p. 38<\/p>\n<p>&#8211; an IMAGE like this on the <strong style=\"text-align: initial;text-indent: 4pt;font-size: 1em\"><em>retina<\/em><\/strong><span style=\"text-align: initial;text-indent: 4pt;font-size: 1em\"> at the back of the eye:<\/span><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-content\/uploads\/sites\/69\/2022\/04\/proton7-1.jpg\" alt=\"\" class=\"alignright wp-image-203\" width=\"500\" height=\"376\" srcset=\"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-content\/uploads\/sites\/69\/2022\/04\/proton7-1.jpg 800w, https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-content\/uploads\/sites\/69\/2022\/04\/proton7-1-300x226.jpg 300w, https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-content\/uploads\/sites\/69\/2022\/04\/proton7-1-768x578.jpg 768w, https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-content\/uploads\/sites\/69\/2022\/04\/proton7-1-65x49.jpg 65w, https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-content\/uploads\/sites\/69\/2022\/04\/proton7-1-225x169.jpg 225w, https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-content\/uploads\/sites\/69\/2022\/04\/proton7-1-350x263.jpg 350w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/p>\n<p>When inversion and reversal of the image in our eye was discovered in the Middle Ages, it mystified philosophers.<sup>5<\/sup><\/p>\n<\/div>\n<p class=\"12.-photons-as-retinal-images\">The answer to that \u201clittle\u201d inconsistency between optics and perception turns out to <span style=\"text-align: initial;font-size: 1em\">be more profound than any mystery in physics.<\/span><\/p>\n<p class=\"12.-photons-as-retinal-images\">It is not explainable by some possible 1800 twist of neural connections from the <em>retina<\/em>. Here\u2019s why: After a few days\u2019 confusion, persons wearing \u201cglasses\u201d that turn the image right side up find the world <span style=\"text-align: initial;font-size: 1em\">appearing normal.<\/span><\/p>\n<p class=\"12.-photons-as-retinal-images\"><span style=\"text-align: initial;font-size: 1em\"> Evidently the <\/span><strong style=\"text-align: initial;font-size: 1em\"><em>visual<\/em><\/strong><span style=\"text-align: initial;font-size: 1em\"> image is not constrained by neuroanatomy.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: right\">p.39<\/p>\n<p>Consider the retinal image. Though it appears to be continuous, that image is sensed by individual receptor cells in the <em>retina<\/em>.<\/p>\n<p>The ability to sense the direction from which photons have arrived depends on the size of the retinal receptors and focal length of the eye. A typical photoreceptor has a diameter of 2.5 micrometers and is located at the focal point of the eye, some 25 millimeters behind the lens. By trigonometry the receptor subtends a 22 second angle with respect to the lens\u2019 center. Because congruent angles are equal, that is the receptor\u2019s <strong><em>field<\/em><\/strong> <strong><em>of<\/em><\/strong> <strong><em>view<\/em><\/strong> &#8211; how much of the world it responds to.<\/p>\n<p class=\"import-Normal\" style=\"margin-left: 41.35pt\"><img decoding=\"async\" src=\"http:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-content\/uploads\/sites\/69\/2022\/04\/image33.jpeg\" alt=\"image\" width=\"866.713175853018px\" height=\"418.949921259843px\" \/><\/p>\n<p><strong>*<\/strong>NB In vertebrate eyes the light sensitive end of the photoreceptors not only faces away from the lens, it is also covered by the rest of its cell body and by several types of nerve cells and nerve fibers that, fortunately, are nearly transparent. (Why this backwards design, and only in vertebrates? That\u2019s another story.)<sup>6<\/sup><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: right\">p. 40<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: center\"><strong>However,<\/strong> <strong>the<\/strong> <strong>photoreceptors<\/strong> <strong>would not respond<\/strong> <strong>to<\/strong> <strong>the<\/strong> <strong>photons<\/strong> <strong>in the<\/strong> <strong>image<\/strong> <strong>w<\/strong><strong>ere<\/strong> <strong>it<\/strong> <strong>not for<\/strong> <strong>another<\/strong> <strong>property<\/strong> <strong>of<\/strong> <strong>photons:<\/strong><\/h3>\n<p class=\"import-Normal\">\n","protected":false},"author":28,"menu_order":12,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-60","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/pressbooks\/v2\/chapters\/60","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/wp\/v2\/users\/28"}],"version-history":[{"count":8,"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/pressbooks\/v2\/chapters\/60\/revisions"}],"predecessor-version":[{"id":374,"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/pressbooks\/v2\/chapters\/60\/revisions\/374"}],"part":[{"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/pressbooks\/v2\/chapters\/60\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/wp\/v2\/media?parent=60"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/pressbooks\/v2\/chapter-type?post=60"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/wp\/v2\/contributor?post=60"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/wp\/v2\/license?post=60"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}