
optical design, engineering
& manufacturing |
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PRECISION OPTICS |
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Aspheric Design Guide For Manufacturability
size | shape
| surface definition |
tolerances |
general guidelines | testing
methods | final note
In general, there are not hard limits as
to what can be made, but rather a point at which difficulty (cost)
to manufacture escalate rapidly. Our design guide provides
guidelines for the manufacture of aspheric surfaces based on the
equipment and methodology we employ at Kreischer Optics.
Size:
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• 15 to 120mm diameter
preferred
• 5 to 200mm with limitations
(If an aspheric shape is such that it
can be processed out to a 15mm diameter, it may then be edged down to
the desired final diameter) |
Shape:
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Departure from best fit sphere:
in general, any departure from the best fit sphere up to 1 or even 2mm
does not cause significant difficulty, with these considerations being
more important. |

• Minimum 10mm local radius preferred
• Concave: Minimum 40mm local radius preferred. |

- Maximum sag height
(either convex or concave) of 12mm preferred
- Monotically convex
surfaces are easiest to process.
|

Shapes going through an inflection point
make form correction more difficult.
The processing diameter of an aspheric
lens can be 4 – 10mm larger than the finished lens; therefore, it is
desirable for the aspheric shape to be “well behaved” in this regard.
|

A down-turned edge can cause minor
difficulty. |

An up-turned edge can significantly
interfere with processing.
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Flange interfering with a convex surface
is bad. |

Flange cut into a surface is okay (but
adds a manufacturing step). |

Annular flats on concave surfaces are
routine. |
Surface Definition:
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In general, use an even
polynomial and avoid higher order terms than necessary. |
Surface Design Tips:
• Surfaces using only a conic constant are always “well behaved”
• Avoid odd polynomials (these can be processed, but require finding a
best fit, even polynomial for generating)
• Avoid using the X2 term. This is redundant with base
radius anyway. |
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Tolerances: Guidelines for Aspherics
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The tolerances to follow are only
guidelines because many factors come into play to determine the cost
and difficulty of making any given part. What may be a “slam dunk”
for one part can be a “half court shot” for another, depending on
size, shape, glass type, etc.
Avoid multiple tight tolerances, they
compound difficulty. For example, requiring a 1/10-wave accuracy,
center thickness of ± .025mm, surface quality of 10-5 scratch-dig and
a difficult glass type may each individually cause only a modest price
increase but requiring them all on the same part will make for a very
expensive optic. |
|
Specification |
Tolerance |
Difficulty |
Comment |
| |
|
|
|
| Form
error/Irregularity |
5
microns |
Easy |
Any
shape/size |
| |
2
microns |
Moderate |
|
| |
1
micron |
Standard |
Most
shapes |
|
(peak to valley) |
1
wave |
Precision |
|
| |
1/2
wave |
Precision plus |
|
| |
1/4
wave |
High
precision |
Shape dependent |
| |
1/8
wave |
Extreme precision |
Special cases only |
|
|
|
|
Base
radius
(In addition to form error) * |
5 - 10 microns |
Easy |
* Tolerance given in
terms of the sag difference across the aperture. |
| 2 - 4 microns |
Standard |
| 1 micron |
Precision |
| .5 microns |
High precision |
|
|
|
|
|
|
Center thickness |
±
.25mm |
Easy |
|
| |
±
.10mm |
Standard |
|
| |
±
.05mm |
Precision |
|
| |
±.025mm |
High
precision |
|
|
|
|
|
| Diameter |
+0 / -.2 |
Easy |
|
| |
+0 / -.1 |
Standard |
|
| |
+0 / -.05 |
Precision |
|
| |
+0 / -.025 |
High precision |
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Wedge **
(ray deviation) |
5’ |
Easy |
See
note concerning centration vs. wedge |
| 3’ |
Standard |
| |
2’ |
Precision |
|
| |
1’ |
High
precision |
|
| |
30” |
Extreme precision |
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|
|
|
|
| Surface quality |
120/60 |
Easy |
Glass type is a big
factor |
| |
80/50 |
Standard |
|
| |
60/40 |
Precision |
|
| |
40/20 |
High precision |
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| |
20/10 |
Very high precision |
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General Comments & Guidelines:
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Tolerances tend to be independent from
each other in their effect on system performance but have a
compounding effect on manufacturability. DON’T PICK ALL HIGH
PRECISION TOLERANCES IF THEY DON’T ALL NEED TO BE!
Base radius is a separate tolerance
from form error since it can be focused out in most systems. Avoid
specifying a tighter radius tolerance than needed.
Give a larger share of your “error
budget” to the aspheric surface. For example, when designing a lens
system with 7 spherical and 1 aspheric surface, callling for ¼-wave
surface irregularities, instead of specifying ¼-wave on all 8
surfaces, specify .5 microns on the asphere and 1/8-wave on the
spherical surfaces. The net tolerance is tighter and the system is
more manufacturable.
Try to use a mainstream glass (BK-7 if
possible) for the aspheric element(s).
In general, not just for aspheres,
avoid letting the computer pick the glass. Check on glass availability
during the design process; many “new” glasses (Ohara ”S” type and
Schott “N” type) are not readily available.
** Centration vs. wedge. For spherical
lenses, centration and wedge are the same thing. This is not true for
aspheres. The process we use at Kreischer Optics insures the aspheric
surface is VERY WELL CENTERED relative to the outside diameter. |
| Testing
Methods:
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Form Talysur F:
Precision profilometry
(contact measurement of sag height across a diameter which is compared
to the ideal Form) is the industry standard in spheric metrology.
Profilometry is versitle in both ground and polished surfaces may be
trested adn degree of depart use from best fit sphere is not a
limitation. Taylor Hobson with their Form Talysurf instruments in the
industry leader in precision prfilimetry. Kreischer Optics has two
From Talysurf, the S5, with 120mm diameter and 12mm say height
capacity, and the PGI 1240 which is Taylor Hobson's premier metrology
system for aspheric Form measurment . The PGI 1240 has a diameter
capacity or 200mm with say height measurement ranges of 12.5, 25, or
38mm (dependent on length of stylus arm) with a measurement resolution
of 0.8nm and overall measurement accuracy of under 0.1 microns.
Zygo GPI:
Very mild aspheres (up to about 8 waves departure) may
be tested without null optics, otherwise, a null lens (designed in
house at KOL) or a computer generated hologram will be needed. This
has the advantage of [potentially] full aperture testing to 1/8-wave
accuracy or better, but not all aspheric shapes can be tested this
way. Null lenses can add $1k - $7k of non-recurring cost and may add
to lead-time. CGH nulls will cost $7k and up and take 6 – 8 weeks.
With either null lenses or CGH nulls, only polished surfaces may be
tested. |
Final note:
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Call, email or fax your preliminary specifications as early in the
design process as you can. We are always happy to discuss design
consideration. |
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© 2007 Kreischer Optics, Ltd. Revised April 2004.
Kreischer Optics - 1729 Oak Drive -
McHerny, IL 60050 - phone:
(815) 344-4220
/ email: optics@kreischer.com
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