| |
Low cost
|
Commercial
|
State of the art
|
| Focal Length |
+/- 3 to 5% |
+/-2 to 3% |
+/-0.5 to 1% |
| Radius of curvature |
+/- 3 to 5% |
+/-2 to 3% |
+/-0.5 to 1% |
| Irregularity |
6 to 10 f/in |
2 to 6 f/in |
0.5 to 2 f/in |
| Scratch/Dig |
80/50 |
60/40 |
40/20 |
| Centration |
+/-3 min |
+/-2 min |
+/-1 min |
| Thickness |
+/-0.005" |
+/-0.002" |
+/-0.0005" |
| Diameter |
+/-0.005" |
+/-0.002" |
+/-0.0005" |
| Repeatability |
1 to 2 % |
0.5 to 1% |
0.3 to 0.5% |
Diameter
to Centre Thickness Ratio
2:1
Difficult to mould, loose tolerancing recommended;
3:1
Moderately easy to mould, commercial tolerancing;
5:1
High Precision tolerancing achievable.
Smaller,
Lighter, Faster, Cheaper
Power
(Collection Efficiency)
Design freedoms
provided by polymer optics permit an approximate 1.78 energy
collection advantage over glass: Example: A high index SFL6, all
spherical glass element will have an f# of around 0.8 maximum
relative aperture (effective useful relative aperture is 1.0) for an
effective focal length of 15 mm. A bi-aspherical moulded
polycarbonate element can be designed with f# 0.6 maximum
relative aperture for a 15 mm efl. This lens will collect 1.78 times
the energy of the glass element.
Colour
Correction:
Aspherics and
Diffractives provide correction with fewer elements.
Challenges of
Mould Insert Fabrication:
Improvements in
tool fabrication techniques permit construction of complex tooling
architectures with improved micro-finishes.
Compared to
Glass, some benefits of polymer mouldings:
- Mechanical
mounting flanges, self-registration, alignment features, snap
features, and tabs provide an ability to automate assembly;
- Mechanical
repeatability to high accuracy, in comparison to ground and
polished glass lenses;
- Aspheric, conic
or toroidal surfaces are as easy to produce as spherical;
- Moulded
micro-structured surfaces - such as diffractives.
Performance:
Issues of dN/dT
(index vs. temperature) and the restricted refractive index range of
polymers can be corrected by either compensation in mechanical
design or employing micro-structured surfaces for temperature and
chromatic dispersion.
Dispersive
diffractives may be used to correct colour.
The high index and
negative Abbe values of diffractive surfaces help reduce
monochromatic aberrations and may be used to athermalize the design.
Optical
Performance:
Glass has variable
surface accuracies after finishing whereas injection moulded optics
have repeatable surface accuracies - lens to lens repeatability of
0.5% is typical. Complex shapes used in laser scanner systems that
cannot be manufactured in glass can be moulded and coated as one
unit. Optical accuracy may be held to 5 waves or less. Micro
finishes of less than 70 Angstroms are possible - hence low scatter.
Good reasons
for using polymers:
Polymers provide a
repeatable level of performance at lower cost.
- Raw material is
less expensive;
- Variety of
mounting and alignment features can be moulded as part of the
optic element - permitting automated assembly;
- Multicavity
moulds reduce production costs if there is enough volume to
justify higher tooling investment;
- Lens to lens
repeatability - less than 0.5%;
- Surface accuracy
variations less than 1 fringe, depending on size;
- Dimensional
tolerances in the tenths of thousandths of an inch.
Aspherical
surfaces:
it costs no more to mould an asphere than it does a spherical
element.
Diffractives:
are an example of a product difficult and expensive to fabricate in
glass - whether it be a rotationally symmetric kinoform surface,
multiphase binary stepped surface or grayscale diffractive
structure.
Benefits of
polymer optics:
Lower material weight; Integrated mounting features; Optical glasses
typically are 2 to 2.5 times heavier than corresponding polymer
lenses; Aspheric and diffractive surfaces permit reduced numbers of
elements.
Temperature
Effects: Although
the refractive index changes with temperature (and humidity) to a
greater extent than glass, the more significant effect in polymers
is thermal expansion - causing the radii and thickness of the optic
to change - thus shifting the point of focus. Typical glasses
have coefficients of expansion of 0.7 X 10-7 /K, whereas plastics
such as Acrylic have 7 x 10-7/K, a factor of 10 greater. Thermal
compensation designs (athermalization) are possible using
diffractives or compensating mechanical structures in the lens
housing/spacing. Example: The use of a higher temperature
coefficient non-optical polymer such that lens separation and image
distances physically change but the image plane remains constant.
Alternatively the
combination of glass/polymer elements (hybrids) employing a
thin polymer layer, reduces overall expansion.
Mechanical Design
Guidelines
Thickness: Shrinkage
compensation is less complex for a thin lens and moulding cycle
times are shortened - reducing cost. Thicker cross sections will
increase cycle times and increase cost as well as make it more
difficult to hold tight surface figure. Extreme variations in
thickness may create uneven flow characteristics that may induce
uneven cooling and change optical figure. Rule of thumb: Keep the
diameter to thickness ratio greater than 6:1 and flange width to 2.5
times the edge thickness.
Structural
Elements: Flanges;
Spacers; Tabs; Slots; Brackets and Snaps may be integrated to the
optical element - resulting in a single-piece design that eliminates
mounting hardware and simplifies assembly and alignment.
The shape and size
of the structural elements outside the optic surfaces are important
- allowing shrinkage effects to occur in the flange area and not in
the critical optic aperture - thus preserving optical performance to
the edge of the specified critical aperture.
Clear Aperture: If
no flange is permitted, the clear aperture should be no closer to
the edge than 1.5 times the edge thickness.
Symmetry:
within the moulding aids flow characteristics.
Flat Surfaces:
have
a tendency to sink when the polymer cools. If possible, add a
surface of power - even as little as a meter (radius of curvature).
If a flat surface is required to compensate for sag longer cycle
times and other process changes are required to create acceptable
flatness.
Gate:
Consider
factors that determine which type of gate design is best suited to
the optic element configuration and surface figure required. These
range from fan gates to small buried sub-gates which automatically
shear off as the mould opens.
Gate Vestige: When
detaching the part from the runner some vestige of material is left
on the part. This can be compensated by creating a small flat
section at the gate area - which could also be used as a clocking
feature if rotational alignment is necessary.
Draft
Angle: (minimum of 0.5 degrees) The degree to which side
walls are tapered - in order to extract the part from the cavity.
Number of
Cavities: Increasing
the number of cavities per shot will lower the part cost but
increases the mould cost. This will increase the degree of
difficulty of balancing moulding characteristics of these cavities.
The size, shape of part, volume of parts and tightness of optical
tolerances desired, will limit the practical number of cavities used
for a particular part configuration.
Shrinkage:
Thermoplastic
shrink rates for commonly used materials vary from 0.001" to
0.006"/F. It is important to compensate for shrinkage
precisely. However it is often not possible to model shrinkage.
Polymer is
compressed in the cavity at injection and more material is added to
compensate for shrinkage during cooling. Where there is uncertainty,
moulds are usually built with 'steel safe' to allow for minor
corrections after the first round of parts has been made and
measured. This enables material to be gradually removed from the
tool in order to approach the required final part dimensions.
Housings/Structures:
Maintain a
uniform wall cross-section thickness, even at the corners; Avoid
overly thin / thick cross sections or combinations of extremes in
cross sections. Avoid sharp corners which localizes stress
concentrations.
Holes:
The flow of material around holes can cause weld lines. Shear in the
polymer material during the fill of the cavity induces polymer
orientation and birefringence.
High power
negative lenses
are problematic. Flow of material around the thicker edge section
fills first and last in the center - causing weld lines where the
flow fronts meet - resulting in distortion of surfaces and poor
optical figure control.
Assembly
Considerations: Press
fits; Snap fits; Cementing; Heat staking; Ultrasonic welding.
Limitations of
Glass: Advantages
of glass optical elements are temperature stability, Abbe values and
a greater index range for colour compensation over a wide wavelength
range. Cost and repeatability are limitations however.
When not to use
Polymer: If
optical figures tighter than 1 fringe are required and if extreme
temperature ranges are required - 40 C or greater operating range.
A
durable 'hard coat' may be required to provide better scratch
resistance. The 'hard coat' application involves a spin-on chemical
solution followed by curing. Acrylic hardcoat treatment additionally
enables surface adherence for the AR coating that otherwise was not
obtainable. A chemical 'hard coat' of a few µm thickness provides
most of the scratch resistance.
Polymers
diffuse moisture continuously.
Polymeric
materials are ideal for creating moulded mirror substrates of
complex shapes. Advanced illumination systems in automobiles,
aircraft, and compact display units make maximum use of the
fit-to-form and lightweight advantages of plastic reflectors. Such
surfaces, produced in high volume, are metallized (aluminum) and the
metal is protected from abrasion and corrosion with a dielectric
layer system (silicon monoxide or alumina). Generally, the rms
surface roughness requirements are not as rigid as for refractive
optics.