{"id":37,"date":"2022-04-27T07:12:52","date_gmt":"2022-04-27T11:12:52","guid":{"rendered":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/chapter\/introduction\/"},"modified":"2022-05-12T17:05:39","modified_gmt":"2022-05-12T21:05:39","slug":"introduction","status":"publish","type":"chapter","link":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/chapter\/introduction\/","title":{"raw":"INTRODUCTION","rendered":"INTRODUCTION"},"content":{"raw":"<div class=\"introduction\">\r\n<p style=\"text-align: right\">p. 1<\/p>\r\n<p class=\"import-BodyText\" style=\"margin-left: 5.6pt;margin-right: 19.25pt;text-indent: 36pt\">Let\u2019s start with light, since every body \u201dknows\u201d what light is. After all, we can see it - or think we can. Actually, we don\u2019t see light. We only see the surfaces that reflect or emit light. Whatever, <strong><em>light<\/em><\/strong> is a stream of <strong><em>photons<\/em><\/strong>, yet only those within a narrow part of a near infinite range of electromagnetic radiation. Physicists count them and measure their energy, without ever knowing exactly where the photons are and can\u2019t even agree on what they are!<\/p>\r\n<p class=\"import-BodyText\" style=\"margin-left: 5.6pt;margin-right: 19.25pt;text-indent: 36pt\">Some introduction, eh? Don\u2019t let that discourage you. Here is how I\u2019ll deal with photons as they relate to vision.<\/p>\r\n<p class=\"import-BodyText\" style=\"margin-left: 5.6pt;margin-right: 12.65pt;text-indent: 36pt\">As many readers already know, photons have a dual personality - or maybe it\u2019s just the physicists. On one hand, photons are massless <strong><em>particles<\/em><\/strong> that speed along in straight lines called <strong><em>rays<\/em><\/strong>. From this perspective, basic geometry is enough to see how rays can form images. On the other, photons are <strong><em>waves<\/em><\/strong> of energy describable by Maxwell\u2019s equations using calculus. Don\u2019t worry, the calculus quickly gets beyond the abilities or interests of general readers. Still their waviness can\u2019t be ignored. The wave perspective is necessary to grasp how light interacts with matter - interactions that make images possible and that enable those images to be sensed.<\/p>\r\n<p class=\"import-BodyText\" style=\"margin-left: 5.6pt;margin-right: 19.25pt;text-indent: 36pt\">This \u201cglance\u201d compromises between the particle and wave perspectives. Photons are treated as quantal packets of energy that vibrate transversely to their direction of travel. Taking the average of their vibrations as location enables treating them as rays, while their vibration alters the probability of where they go when interacting with matter.<\/p>\r\n<p class=\"import-BodyText\" style=\"margin-left: 5.6pt;text-indent: 36pt\">Avoiding calculus and using the <em>outdated<\/em> <em>(?)<\/em> Rutherford-Bohr model of the atom may cause apoplexy amongst some physicists. Yet as Paul Dirac pointed out \u201cAll the same the mathematics is only a tool and one should learn to hold physical ideas in ones mind without reference to the mathematical form.\u201d <sup>1<\/sup><\/p>\r\n<p class=\"import-BodyText\" style=\"margin-left: 5.6pt;margin-right: 19.25pt;text-indent: 36pt\">Until someone comes up with a better pictorial analogy, photons as vibrating packets of radiating energy will have to do.<\/p>\r\n<p class=\"import-Normal\"><\/p>\r\n\r\n<\/div>","rendered":"<div class=\"introduction\">\n<p style=\"text-align: right\">p. 1<\/p>\n<p class=\"import-BodyText\" style=\"margin-left: 5.6pt;margin-right: 19.25pt;text-indent: 36pt\">Let\u2019s start with light, since every body \u201dknows\u201d what light is. After all, we can see it &#8211; or think we can. Actually, we don\u2019t see light. We only see the surfaces that reflect or emit light. Whatever, <strong><em>light<\/em><\/strong> is a stream of <strong><em>photons<\/em><\/strong>, yet only those within a narrow part of a near infinite range of electromagnetic radiation. Physicists count them and measure their energy, without ever knowing exactly where the photons are and can\u2019t even agree on what they are!<\/p>\n<p class=\"import-BodyText\" style=\"margin-left: 5.6pt;margin-right: 19.25pt;text-indent: 36pt\">Some introduction, eh? Don\u2019t let that discourage you. Here is how I\u2019ll deal with photons as they relate to vision.<\/p>\n<p class=\"import-BodyText\" style=\"margin-left: 5.6pt;margin-right: 12.65pt;text-indent: 36pt\">As many readers already know, photons have a dual personality &#8211; or maybe it\u2019s just the physicists. On one hand, photons are massless <strong><em>particles<\/em><\/strong> that speed along in straight lines called <strong><em>rays<\/em><\/strong>. From this perspective, basic geometry is enough to see how rays can form images. On the other, photons are <strong><em>waves<\/em><\/strong> of energy describable by Maxwell\u2019s equations using calculus. Don\u2019t worry, the calculus quickly gets beyond the abilities or interests of general readers. Still their waviness can\u2019t be ignored. The wave perspective is necessary to grasp how light interacts with matter &#8211; interactions that make images possible and that enable those images to be sensed.<\/p>\n<p class=\"import-BodyText\" style=\"margin-left: 5.6pt;margin-right: 19.25pt;text-indent: 36pt\">This \u201cglance\u201d compromises between the particle and wave perspectives. Photons are treated as quantal packets of energy that vibrate transversely to their direction of travel. Taking the average of their vibrations as location enables treating them as rays, while their vibration alters the probability of where they go when interacting with matter.<\/p>\n<p class=\"import-BodyText\" style=\"margin-left: 5.6pt;text-indent: 36pt\">Avoiding calculus and using the <em>outdated<\/em> <em>(?)<\/em> Rutherford-Bohr model of the atom may cause apoplexy amongst some physicists. Yet as Paul Dirac pointed out \u201cAll the same the mathematics is only a tool and one should learn to hold physical ideas in ones mind without reference to the mathematical form.\u201d <sup>1<\/sup><\/p>\n<p class=\"import-BodyText\" style=\"margin-left: 5.6pt;margin-right: 19.25pt;text-indent: 36pt\">Until someone comes up with a better pictorial analogy, photons as vibrating packets of radiating energy will have to do.<\/p>\n<p class=\"import-Normal\">\n<\/div>\n","protected":false},"author":28,"menu_order":1,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[48],"contributor":[],"license":[],"class_list":["post-37","chapter","type-chapter","status-publish","hentry","chapter-type-standard"],"part":3,"_links":{"self":[{"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/pressbooks\/v2\/chapters\/37","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":9,"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/pressbooks\/v2\/chapters\/37\/revisions"}],"predecessor-version":[{"id":355,"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/pressbooks\/v2\/chapters\/37\/revisions\/355"}],"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\/37\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/wp\/v2\/media?parent=37"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/pressbooks\/v2\/chapter-type?post=37"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/wp\/v2\/contributor?post=37"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.library.upei.ca\/danceofphotons\/wp-json\/wp\/v2\/license?post=37"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}