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Convex and Concave Lenses Ground as a Pair
Penny

创建者

Penny

14. 十月 2026DK
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Convex and Concave Lenses Ground as a Pair

Rub one glass disc over another with wet grit and both change shape: the one on top goes hollow, the one beneath goes domed, and they stay a perfect fit. Grind both faces of a pair this way and the bottom disc becomes a double-convex lens, the top one a double-concave lens of the same curve. Longer work gives deeper curves and shorter focal lengths. The picture: a double-convex lens held at arm's length shows the scene small and upside down.
高级
Several days per pair

说明

1

Cut two discs

Score two equal circles on the glass sheet, snap them out and nibble the edges round with grozing pliers. Fix a short wooden handle to the back of each with warm pitch.

此步骤所需材料:

玻璃板玻璃板1 个
松脂胶松脂胶20 克
硬木条硬木条1 个

所需工具:

玻璃刀玻璃刀
玻璃钳玻璃钳
安全眼镜安全眼镜
2

Rough grind the first faces

Lay one disc face up on a firm table, wet it and sprinkle coarse grit. Push the other disc over it, face down, in short strokes, turning both a little all the time. The top one becomes concave, the bottom convex. Rinse and recharge as the grit wears.

此步骤所需材料:

碳化硅磨料碳化硅磨料50 克
水水2 升

所需工具:

直尺直尺
3

Check the curve

Lay a ruler across the hollow disc and measure the depth at the centre with the caliper. Keep the top disc on top to deepen the curve; swap them to flatten it.

所需工具:

直尺直尺
6 英寸数显卡尺6 英寸数显卡尺
4

Fine grind and polish

Go through finer grits, washing everything clean between grits. Polish each face on a pitch lap pressed to the other disc's curve, with tin oxide (putty powder) and water, until clear.

此步骤所需材料:

碳化硅磨料碳化硅磨料30 克
氧化锡(二氧化锡)氧化锡(二氧化锡)30 克
松脂胶松脂胶100 克
5

Turn them over, do the second faces

Move the handles to the finished faces and grind the other sides the same way, the same disc on top, to the same depth. The bottom disc is now a double-convex lens, the top one double-concave.

此步骤所需材料:

碳化硅磨料碳化硅磨料60 克
氧化锡(二氧化锡)氧化锡(二氧化锡)20 克

所需工具:

6 英寸数显卡尺6 英寸数显卡尺
6

Find the focal length

Hold the convex lens in sunlight over paper and move it until the spot is smallest; that distance is its focal length. Grind more pairs to different depths for a set of focal lengths.

所需工具:

直尺直尺
7

Focal length from the curve

正在加载 Jupyter 笔记本…
8

Limits

Which disc goes hollow is the mirror makers' rule (Sky & Telescope, Stellafane); the lens formula is from Wikipedia. Window glass is not optical glass: expect some colour fringes and bubbles.

材料

6

所需工具

5

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