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光的性質 波長 頻率 光速 光子能量 偏振
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700 nm 600 500 400
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E= hv = hc/l 光子能量 化學鍵強度 kcal/mol 波長, nm
UV is important in Vitamin D synthesis, DNA damage, … 光子能量 化學鍵強度 kcal/mol UV-B UV-C UV-A 波長, nm
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Diffraction Grating 光柵 蘇曼儂、林志民
Research Assistant, Institute of Atomic and Molecular Sciences Academia Sinica, Taipei, Taiwan 10617
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Different types of grating surface
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p = 180o p 2p
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a d d sin a
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b d d sin b
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光程差= d sin a + d sin b 建設性干涉條件 m = 0, 1, 2, 3, ... -1, -2, -3, ...
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Excel Demo
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m = 0, 1, 2, 3, ... m = 0, 光程差= d sin a + d sin b 建設性干涉條件
-1, -2, -3, ... m = 0, 符合巨觀之反射定律 a -b
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Other illustrations
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d = 1.6 m m for CD, 0.74 m m for DVD m=1, d = 1600 nm
To simplify the problem, let’s first assume sin a is a constant. m=1, d = 1600 nm l sin a + sin b = l/d 400 nm 0.25 533 nm 0.33 700 nm 0.44
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Slit Width and Angular Resolution
1.4 mm 80 mm
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In this practical case, sin a and sin b are variables.
m=0 m=1 CD In this practical case, sin a and sin b are variables. Note sin b changes more with wavelength than sin a.
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CD 自動數位相機很難對焦 (它對人臉對焦比較行)
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DVD (終於對到焦點了!)
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DVD
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DVD
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Ocean Optics USB2000+UV-VIS-ES
611 546 542 436 577 579 404 Ocean Optics USB2000+UV-VIS-ES
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movie
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Acknowledgement 游大立老師 設計 中央研究院天文及天文物理研究所 印製 簡易摺紙光譜儀
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