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تشعشع3 - نسخه‌ی قابل چاپ

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+--- موضوع: تشعشع3 (/showthread.php?tid=43924)



تشعشع3 - فاطمه رمضانی - 15-08-2020

رابطه شدت تشعشع با گسیل آنویرایش
با توجه به شکل بالا اکنون مفهوم آهنگ تشعشع گسیل شده را بر حسب شدت طیفی تشعشع گسیل شده بیان می‌کنیم. شدت طیفی تشعشع گسیل شده عبارت است از آهنگ تشعشعی که با طول موج λ {\displaystyle \lambda } [تصویر:  b43d0ea3c9c025af1be9128e62a18fa74bedda2a] در امتداد ( θ , ϕ ) {\displaystyle (\theta ,\phi )} [تصویر:  c907dc1e8b19ea4c73c6bd56ef5d3e9d32e9cb40] از مساحت واحد سطح گسیلنده‌ای که عمود بر امتداد مذکور قرار دارد به داخل ناحیه متناظر با زاویه فضایی واحد در بازه d λ {\displaystyle d\lambda } [تصویر:  d2911481cb08253d29482348954893a519c16cbe] حول آن گسیل می‌شود. توجه کنید که سطحی که در این تعریف استفاده می‌شود تصویر سطح d A 1 {\displaystyle d{{A}_{1}}} [تصویر:  8b7b35f96d0eede6980a2a8a025aee033e07ef59] در امتداد عمود بر تشعشع است. یعنی d A 1 cos ⁡ θ {\displaystyle d{{A}_{1}}\cos \theta } [تصویر:  306ec1e726fcb93450c8f20534e6ef00e3a7975e] . بنابراین شدت طیفی برابر است با:
I λ , e ( λ , θ , ϕ ) ≡ d q d A 1 cos ⁡ θ . d ω . d λ {\displaystyle {{I}_{\lambda ,e}}(\lambda ,\theta ,\phi )\equiv {\frac {dq}{d{{A}_{1}}\cos \theta .d\omega .d\lambda }}} [تصویر:  812791a3ef665e349266a5b2c2fe678c1d4da637]
و از آن آهنگ تشعشع گسیل شده از یک سطح بدست می‌آید:
d q λ = I λ , e ( λ , θ , ϕ ) d A 1 cos ⁡ θ . d ω {\displaystyle d{{q}_{\lambda }}={{I}_{\lambda ,e}}(\lambda ,\theta ,\phi )d{{A}_{1}}\cos \theta .d\omega } [تصویر:  dd7425dd275dd289d16403548cb0fb26cbb70cb0]
همچنین شار تشعشع طیفی مربوط به سطح d A 1 {\displaystyle d{{A}_{1}}} [تصویر:  8b7b35f96d0eede6980a2a8a025aee033e07ef59] می‌شود:
d q  ″ λ = I λ , e ( λ , θ , ϕ ) cos ⁡ θ sin ⁡ θ d θ d ϕ {\displaystyle d{{q}^{''}}_{\lambda }={{I}_{\lambda ,e}}(\lambda ,\theta ,\phi )\cos \theta \sin \theta d\theta d\phi } [تصویر:  4e7975e53108be497ef326e4b5ab5e341eaf45f9]
[تصویر:  220px-Monfared_heat.jpg]

با انتگرالگیری از این معادله می‌توان توان گسیل نیم کروی را بدست آورد.


RE: تشعشع3 - wrynn - 07-11-2023

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RE: تشعشع3 - wrynn - 12-01-2024

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RE: تشعشع3 - wrynn - 11-02-2024

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