| 摘要: | 摘要
本研究提出八百萬畫素及五百萬畫素潛望鏡式三倍變焦鏡頭設計，潛望鏡式變焦鏡頭為在一變焦鏡頭組的前方放置一片直角稜鏡，將光路前進方向旋轉九十度。以下為八百萬畫素三倍變焦鏡頭之設計規格，有效焦距為3.5321 mm至10.5963 mm，半視角為32.9 至12.1691，F/#為2.8至5.5，入瞳口徑為1.2615 mm至1.9266 mm。
以Apple iPhone 11 Pro為例，其手機厚度為8.1 mm，扣除兩面外殼厚度約3 mm後，則機構內厚度為5.1 mm。而鏡頭深度為稜鏡的厚度或鏡頭Y軸方向上之最大口徑，當鏡頭深度小於手機機構內厚度時，才能夠將其置入手機內。影響鏡頭深度的因素有感測器的Y軸方向長度、鏡頭的變焦焦段、入瞳口徑、入瞳位置與Y方向的視角。
若與感測器長寬比為4:3比較，使用長寬比為16:9的感測器，在對角線長度固定下，則感測器Y軸方向長度會降低，及Y方向的視角也跟著降低，藉此降低鏡頭深度，再利用真實光線追跡決定鏡片X方向及Y方向之有效口徑，並將鏡片外型設定為矩形，讓鏡頭Y方向之最大口徑能夠降低至小於等於稜鏡厚度，最終八百萬畫素變焦鏡頭設計之鏡頭深度為4.98 mm，若再降低感測器畫素數目至五百萬，鏡頭深度可為3.98 mm，也可置入手機內部。
;Abstract
This therio proposes two designs, including periscope type of three times zoom lens for eight mega pixels and five mega pixels in a mobile phone camera respectively.
The periscope zoom lens is to add a right angle prism in front of the general zoom lens, which is to change the direction of the light path. The following are the design specifications of the three times zoom lens for eight-mega-pixels mobile phone camera, where the effective focal length is 3.5321 mm to 10.5963 mm, half angle of view is 32.9 to 12.1691, F/# is 2.8 to 5.5, and entrance pupil is 1.2615 mm to 1.9266 mm.
The lens depth is which the thickness of the prism or the maximum aperture in the Y direction of the lens, when lens depth is less than the thickness of the mobile phone, it can be placed in the mobile phone. The factors that affect the lens depth include the length of the sensor in the Y axis direction, the zooms of the lens, the entrance pupil diameter, the entrance pupil position, and the angle of view in the Y direction.
If compared with the sensor aspect ratio of 4:3, using a sensor with an aspect ratio of 16:9, under a fixed diagonal length, the length of the sensor in the Y axis direction will decrease, and the angle of view in the Y direction also decreases. Use real ray trace to decide the maximum aperture in the X direction and the maximum aperture in the Y direction, then the maximum aperture in the Y direction of the lens can be reduced by cut lens. The final lens depth is 4.98 mm. If the sensor pixel is reduced to 5 million, the lens depth can be 3.98 mm, it should be able to be placed inside the mobile phone. |
