{"id":145304,"date":"2024-03-21T14:06:54","date_gmt":"2024-03-21T14:06:54","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/equacao-emissao-estimulada-calculo\/"},"modified":"2024-03-22T05:56:44","modified_gmt":"2024-03-22T05:56:44","slug":"equacao-emissao-estimulada-calculo","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/pt-br\/equacao-emissao-estimulada-calculo\/","title":{"rendered":"Equa\u00e7\u00e3o Emiss\u00e3o Estimulada | C\u00e1lculo"},"content":{"rendered":"<p class=\"sidekick\">Descubra o que \u00e9 a emiss\u00e3o estimulada, seu papel fundamental nos lasers e sua descri\u00e7\u00e3o matem\u00e1tica, essencial na f\u00edsica moderna e tecnologia.<\/p>\n<h2>O que \u00e9 Emiss\u00e3o Estimulada?<\/h2>\n<p>A emiss\u00e3o estimulada \u00e9 um fen\u00f4meno f\u00edsico que ocorre quando um f\u00f3ton incidental incita a libera\u00e7\u00e3o de outro f\u00f3ton por um \u00e1tomo, \u00edon ou mol\u00e9cula que est\u00e1 em um estado excitado de energia. Esse segundo f\u00f3ton tem a mesma frequ\u00eancia, fase, polariza\u00e7\u00e3o e dire\u00e7\u00e3o do f\u00f3ton incidente. Este \u00e9 o princ\u00edpio b\u00e1sico por tr\u00e1s de dispositivos como laser e amplificadores \u00f3pticos.<\/p>\n<h2>Entendendo a Emiss\u00e3o Estimulada atrav\u00e9s da Equa\u00e7\u00e3o<\/h2>\n<p>Para entender a emiss\u00e3o estimulada, podemos nos referir ao trabalho do f\u00edsico Albert Einstein, que postulou sobre as poss\u00edveis transi\u00e7\u00f5es entre estados de energia de um \u00e1tomo. Estas s\u00e3o expressas em termos de coeficientes de probabilidade, ou coeficientes de Einstein, para emiss\u00e3o espont\u00e2nea (A), emiss\u00e3o estimulada (B), e absor\u00e7\u00e3o (B). N\u00e3o h\u00e1 uma &#8220;equa\u00e7\u00e3o de emiss\u00e3o estimulada&#8221; per se, mas podemos entender esse fen\u00f4meno atrav\u00e9s das rela\u00e7\u00f5es estabelecidas por esses coeficientes.<\/p>\n<p>Para o fen\u00f4meno de emiss\u00e3o estimulada, utilizamos o coeficiente \\( B_{21} \\). Quando um f\u00f3ton com uma energia igual \u00e0 diferen\u00e7a de energia entre dois n\u00edveis atinge um \u00e1tomo no n\u00edvel de energia mais elevado (estado excitado), ele pode provocar a queda do \u00e1tomo para o n\u00edvel de energia mais baixo, resultando na libera\u00e7\u00e3o de um segundo f\u00f3ton. A taxa de emiss\u00e3o estimulada \u00e9 proporcional \u00e0 intensidade da radia\u00e7\u00e3o eletromagn\u00e9tica incidente e ao n\u00famero de \u00e1tomos no estado excitado.<\/p>\n<p>O c\u00e1lculo da emiss\u00e3o estimulada pode ser expresso como:<\/p>\n<p>\\[ R_{emiss\\tilde{o} est\\tilde{i}m\\tilde{u}l\\tilde{a}da} = B_{21} \\cdot  \\rho(\\nu) \\cdot N_2 \\]<\/p>\n<p>Onde:<\/p>\n<p>&#8211; \\( R_{emiss\\tilde{o} est\\tilde{i}m\\tilde{u}l\\tilde{a}da} \\) \u00e9 a taxa de emiss\u00e3o estimulada.<br \/>\n&#8211; \\( B_{21} \\) \u00e9 o coeficiente de Einstein para emiss\u00e3o estimulada.<br \/>\n&#8211; \\( \\rho(\\nu) \\) \u00e9 a densidade de energia do campo de radia\u00e7\u00e3o em uma frequ\u00eancia espec\u00edfica \\( \\nu \\).<br \/>\n&#8211; \\( N_2 \\) \u00e9 o n\u00famero de \u00e1tomos no estado excitado.<\/p>\n<h2>A Import\u00e2<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Descubra o que \u00e9 a emiss\u00e3o estimulada, seu papel fundamental nos lasers e sua descri\u00e7\u00e3o matem\u00e1tica, essencial na f\u00edsica moderna e tecnologia.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_generate-full-width-content":"","footnotes":""},"categories":[84],"tags":[85],"class_list":["post-145304","post","type-post","status-publish","format-standard","hentry","category-ecuaciones","tag-ecuaciones","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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