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Sapphire and glass ball lenses

Description

Ball lenses have very low spherical aberration and so focus and collimate light very accurately; a sapphire ball has only 23% of the aberration of an equivalent BK7 planovex lens over the same aperture.  They are available economically at very high precision and are simple to mount. Sapphire can be used from 200nm to 5.3μm and has exceptional hardness, strength and temperature resistance.

Diameter

±2.5μm (manufacturer's data)

Figure (sphericity)     

1λ (typical) (manufacturer's data)

Scratch-dig

40-20 See specifications for details

Material data

See optical materials for details

Spherical aberration calculation

To calculate the spherical aberration of a system and evaluate its effect proceed as follows.

1. Calculate element contributions

For each lens element work out the wavefront aberration A:

A = ky4/f3

where y is the semi-aperture, or maximum ray height at the element (from an on-axis object); f is the element focal length, and the coefficient k depends on material, shape and conjugates and is given in the relevant section of this catalogue.

2. Sum contributions

Simply add the contributions algebraically to give the total wavefront aberration ΣA (deviation from the best-fit sphere).

3. Evaluate effect

If ΣA is less than λ/4 the system is diffraction limited and aberration can usually be neglected. For larger aberration, the geometrical spot diameter D is given by:

D = 8 ΣAv/y

where y is as above, for the last element, and v is the distance from this element to the image.

For further detail request our Technical Note ‘Spherical aberration’.

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Item code MaterialFocal length (mm)Diameter (mm)Back FL (mm) Price per item
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07 VQ 10 BK77.34102.34 £34.73
 
 
 
 
 
003 VA 006 Sapphire0.3450.60.045 £8.47
 
 
 
 
 
006 VA 01 Sapphire0.57610.076 £8.47
 
 
 
 
 
009 VA 016 Sapphire0.9211.60.121 £8.47
 
 
 
 
 
014 VA 025 Sapphire1.442.50.19 £11.62
 
 
 
 
 
023 VA 04 Sapphire2.340.3 £12.34
 
 
 
 
 
035 VA 06 Sapphire3.4560.45 £15.49
 
 
 
 
 
06 VA 10 Sapphire5.76100.76 TBA
 
 
 
 
 
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007 VQ 01 BK70.73410.234 £12.34
 
 
 
 
 
011 VQ 015 BK71.11.50.35 £12.34
 
 
 
 
 
018 VQ 025 BK71.832.50.58 TBA
 
 
 
 
 
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03 VQ 04 BK72.9340.93 TBA
 
 
 
 
 
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04 VQ 06 BK74.461.4 TBA
 
 
 
 
 
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