使用無限校正物鏡和管鏡
Edmund Optics Inc.

使用無限校正物鏡和管鏡

成像資源指南第9.2部份

In order to create an image with an infinity-corrected objective, a tube lens must be used to focus the image. One advantage to using an infinity-corrected objective with a tube lens is that there can be a space between the objective and tube lens. The space allows additional optical components to be inserted into the system, such as optical filters or beamsplitters. The distance between an infinity-corrected objective and the tube lens (L) can be varied from the recommended or optimal, but this will affect the image field diameter ($ \varnothing $). Equations 1 and 2 are approximation formulas to determine the relation between ($ \varnothing $) and L.

(1)$$ \varnothing_1 =2 \times f_1 \times \text{NA} $$
(1)
$$ \varnothing_1 =2 \times f_1 \times \text{NA} $$

where $ \small{\varnothing _1} $ is exit pupil of the objective, $ \small{f_1} $ is focal length of the objective, and NA is the numerical aperture of the objective.

(2)$$ L = \frac{ \left( \varnothing_2 - \varnothing_1 \right) \times f_2 }{\varnothing} $$
(2)
$$ L = \frac{ \left( \varnothing_2 - \varnothing_1 \right) \times f_2 }{\varnothing} $$

Where L is the distance between the objective and the tube lens, $ \small{\varnothing _2} $ is entrance pupil of the tube lens, $ \small{f_2} $ is focal length of the tube lens, and $ \small{\varnothing } $ is the image field diameter.

Application Example:

使用M Plan APO 10X物鏡(#46-144),MT-1管鏡(#54-774)裝在2/3“相機時,管徑和物鏡之間的最長距離是多少時不會有漸暈現象? 物鏡的焦距(f1)為20mm,NA為0.28,因此可以計算出瞳孔直徑:

(3)$$ \varnothing_1 = 2 \times 20 \text{mm} \times 0.28 = 11.2 \text{mm} $$
(3)
$$ \varnothing_1 = 2 \times 20 \text{mm} \times 0.28 = 11.2 \text{mm} $$

一個 2/3 英寸傳感器的對角線長度為11mm,因此Ø至少需要11mm。MT-1管鏡的焦距為200mm,入瞳直徑為24mm。 因此:

(4)$$ L = \frac{ \left( 24 \text{mm} -  11.2 \text{mm} \right) \times 200 \text{mm} }{11 \text{mm}} = 232.7 \text{mm}$$
(4)
$$ L = \frac{ \left( 24 \text{mm} -  11.2 \text{mm} \right) \times 200 \text{mm} }{11 \text{mm}} = 232.7 \text{mm}$$

只要筒鏡和物鏡之間的間距小於232.7mm,就不會出現漸暈現象。

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