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1
introduction to optical drawings
ISO 10110:1996
2
3
4
Standards
5
Standards
6
LENS SYSTEM DESIGN
7
8
LENS DRAWING
9
FUNDAMENTAL STIPULATIONS
All indications apply to the finished product
(except where specified), in mm, at 22°C.
Mercury e-line (546.07nm) default
For preference, light is incident from the left,
axis is horizontal.
If components are hatched, cemented
assemblies to be hatched in alternate
directions
On each drawing add note, near the title:
“Indications in accordance with ISO 10110”
10
AXES
Axis of symmetry, rotation axis, centre line
Optical axis
Exaggerate shifts, if necessary, for clarity
11
RADII OF CURVATURE
Radius leaders can extend to the axis
Tolerances can be expressed numerically
or interferometrically
Flat surface denoted by R, with
tolerance expressed interferometrically
Weak surfaces e.g. R3000 CX (or CC)
Toric surfaces e.g. Rcyl 50
12
SURFACE TEXTURE
A specular surface (“polished”) is denoted by
P, followed by 4 (<3) 3 (3-15) 2 (16-79) 1 (80-
400 defects per 10 mm of length)
Matt (“ground”) is denoted by G, with
maximum r.m.s. roughness denoted by Rq
followed by a value in microns.
G
Rq 2
13
Surface Texture (Polish and Grind)
ISO 10110-8
14
THICKNESS
Tolerances preferably symmetrical.
Overall thickness in brackets.
If the thickness of a sub-assembly has
tighter tolerances than the individual
components, the thickness tolerance of
the sub-assembly is followed by the letter
M, indicating that the parts are to be
matched.
(16,3)
14 ±0,1
15
Dimensional tolerances for lenses
16
DIAMETER & TEST AREAS
Tolerances expressed as for mechanical parts
Optical clear diameter, “effective diameter” e.g.
e66.
Test areas shaded, as below - test regions may
be labelled. Test volumes may also be defined
(e.g. Special tolerance for bubbles)
(16,3)
14 ±0,1
68
-0,1
-0,05

e
66
1
2
17
CHAMFERS
A bevel is a functional surface which must be
fully toleranced; a protective chamfer replaces
an edge or corner and must not be drawn. It is
dimensioned as shown (“w”). A dimension
marked “theor” ignores any chamfer.
Inside edges are generally toleranced as
maximum permitted width.
If an edge must remain sharp, use the symbol
“O”
50 ±0,1 theor
O
30°±5°
0,3
0,1
NOTE - Protective chamfers 0,2-0,5
0,3
18
TABULAR DATA
MATERIAL
Name, manufacturer, n refractive index, Abbe number.
0/ Stress birefringence tolerance
1/ Bubbles and inclusions tolerance
2/ Inhomogeneity and striae tolerance
SURFACE
R CX/CC radius e optically effective diameter Protective chamfer
3/ Surface form tolerance
4/ Centring tolerance
5/ Digs, coating imperfections, edge chips
6/ Laser irradiation damage threshold
“To be cemented” if appropriate
19
0: STRESS BIREFRINGENCE
0/A where A = maximum permissible stress
bifringence in nm per cm of optical path length.
A=20 Magnifiers and viewfinders
A=10 Microscopes and photographic lenses
A=5 Astronomical telescopes
A<2 Polarisation instruments, interferometers
OPD = sample path length (cm) x residual stress
(N/mm2)xdifference in photoelastic constants
(10-7 mm2/N)
1/2 x 0,25
0/20
Schott catalogue values for A:
Normal fine annealed <= 10
Normal special annealed <= 6
Precision special annealed <= 4
but BK7 800 mm diam <= 12
and BK7 1000 mm diam <= 20
20
0: STRESS BIREFRINGENCE
21
1: BUBBLES AND INCLUSIONS
1/N x A where N = number of maximum size
bubbles allowed, A = area of projected area of
the largest allowable bubble, in mm.
Larger numbers of bubbles are allowed if the
total area does not exceed NxA2 Bubbles
smaller than 0.16A are not counted.
Preferred values of A are 0,1; 0,16; 0,25; 0,4;
and 0,63 and powers of 10 above and below.
Multiples are x2.5 for one grade up, x6.3 for two
grades up, and x16 for three grades up. e.g.
2x2.5=5 bubbles of grade 0,16 or 2x6.3=12 of
grade 0,1 or 2x16=32 of grade 0,063 will satisfy
the example given here.
Not more than 20% of the bubbles (or 2, if N is
less than 10) can be concentrated in less than
5% of the test region.
1/2 x 0,25
0/20
22
1: BUBBLES AND INCLUSIONS
23
2: INHOMOGENEITY AND STRIAE
2/A;B where A = 0 means inhomogeneity <±50.10-6 A =1: 20 A
=2:5 A =3:2 A =4:1 These correspond to roughly to Schott
Normal & H1..H4
B =5 means extremely free of striae (Schott P, NVS), =4 means
striae occupy <1% of test area (Schott N), =3: <2% =2: <5%,
=1:<10%
1/2 x 0,25
0/20
2/1;4
A is class number for inhomogeneity (variation in index of refraction from nominal for
(usually) the melt where the element came from)
B is class for striae (variations in index of refraction inside the element)
2/A;B
24
3: SURFACE FORM
Best fit sphere
Measured surface
Plane surface
SAGITTA
IRREGULARITY
e66
3/A(-) where A = sagitta, maximum departure of the best fit
sphere from plane, in fringes
3/A(B) where B = irregularity, maximum (PV) departure of the
surface from the best fit sphere.
3/A(B/C) where C = rotationally symmetric irregularity,
maximum departure of irregularity from the best fitting aspheric
3/- RMSt <(total) ;RMSi <(irregular); RMSa <(asymmetrical).
“Total surface deviation not to exceed .... ”
547.07 nm - mercury green unless otherwise specified
25
4: CENTRING
26
4: CENTRING
14 ±0,1
(16,3)
A
4/2AB
4/ where  = angle of surface relative to datum (or
datums) in minutes - e.g. 4/2 AB.
4/ for cemented surfaces, where  = relative
angle between surfaces
4/(L), where L = lateral displacement (e.g. for
aspheric)
Decentration = deviation x 0.00029/(n-1)/(1/R1-1/R2)
e.g.
Runout = 2 x decentration: e.g.
0,01 A B
0,02 A B
B
27
5: SURFACE IMPERFECTIONS (I)
5/N x A where N = number of maximum size digs
allowed, A = area of projected area of the
largest allowable dig, in mm (i.e length of side of
square defect). Smaller digs allowed if
cumulative area does not exceed area of NxA.
Defects less than 0,16A are not counted.
...CNxA: Coating blemish limits are preceded by
C, otherwise include in the general count.
...LNxA Long (>2 mm) scratch limits are
preceded by L (N is the number, A is the width in
mm).
...EA Edge chip limits are preceded by E (any
number are permitted provided maximum extent
from the physical edge, excluding any chamfer,
does not exceed A mm).
5/2 x 0,16; L 2 x 0,04; E 0,5
Preferred grades:
0,004 0,0063 0,01 0,016 0,025
and multiples of 10
28
5: SURFACE IMPERFECTIONS (II)
5/TV for transmitted light inspection, 5/RV for
reflected light, where V = 1...5 is visibility class
number (1 is most stringent).
12500 lx against black background. 22500 lx
31250 lx 4625 lx 51310 lx against a variable
background. To standardise, each user must
adjust the background level until the standard
defect (consisting of a chrome evaporated reticle
consisting of two crossed lines, each 15 mm
long, 0,007 mm wide, on 3 mm thick BK7) is only
just visible at 2500 lx. In transmitted light, any
defect (not only a surface defect) visible under
the light conditions specified, counts as a failure.
5/T3
This is an alternative method:
29
6: LASER IRRADIATION DAMAGE
THRESHOLD
30
Surface Treatment and Coatings
ISO 10110-9
Fill in the box according to ISO 9211 –
– Very important 4-part standard describing coatings specifications
Example would be T = 0.9 for 450 < λ < 750.
Could also refer to a graph indicated elsewhere in the drawing
Could also refer to manufacturer’s coating trade name
Also indicate a surface to be cemented.
30
31
SURFACE TREATMENT & COATING
 indicates a functional coating. Symbol is
located outside the element unless under a
protective layer, indicated by a thick chain-
dotted line.
 refers to % transmission,  to % reflection,
and  to % absorption.
All dimensions refer to the finished product,
unless explicitly stated that they refer to the
untreated part.
Beamsplitter coating  :  =60±5:40±5 after
cementing,  0,04 for  = 450 ... 650

Black paint no. 129C5
0,1 mm max. thickness


32
ASPHERIC SURFACES
12
38
0,005 A B
B
2
G
P2
Asphere, toroid, paraboloid indicates a non-
spherical surface. The equation (except for
a cylinder) is given in a note. Unless more
than one diagram is included, the section
given is the y-z plane. The asphere may be
exaggerated for clarity.
Tolerances may be on the sagitta z, on the
slope, or on decentration with a 4/( ) code.
  






5
2
2
2
2
2
2
/
)
1
(
1
1 i
i
ih
A
R
h
R
h
z

h z z Slope tol R = 56,031
0,0 0,000 0,000 0,3'  = -3
5,0 0,219 0,002 0,5' A4 = -0,432 64 E-05
10,0 0,825 0,004 0,5' A6 = -0,976 14 E-08
15,0 1,599 0,006 0,8' A8 = -0,108 52 E-11
19,0 1,934 0,008 1,0' A10 = -0,122 84 E-13
33
OPTICAL LAYOUT DRAWINGS
Shows relative positions of all components, including separations, centring
data, magnification, n.a., field stops and pupils, clear apertures spectral
passband, etc.
A indicates an adjustment made during assembly. V indicates a variation
during use.
A cross (X) on the axis indicates a field stop or image; a vertical line on the
axis indicates a pupil. An image with no physical aperture is marked with
dashed lines:
20
10
FS2
P1
FS1
34
SAMPLE LENS DRAWING
35
SAMPLE LENS DRAWING
36
SAMPLE PRISM DRAWING
37
PRACTICAL IMPLEMENTATION
Indications in accordance with ISO 10110. Interpretation of the symbols will be as follows:
MATERIAL: 0/s s = stress birefringence in nm/cm, 10 unless otherwise specified.
1/n x b Bubbles and inclusions: n= number, b=bubble size, side of square with equivalent
area, in mm
2/ i ; s i = inhomogeneity class (default i = 0 is equivalent to index difference ±0.000050
within a part), s = striae class: default s = 0 means <10% of area filled by striae
with optical path difference > 30 nm; s = 4 (<1%), corresponds to Schott grade N.
SURFACE: 3/s(i) Form error: s = spherical error, departure of best fit sphere from nominal shape,
i = irregularity, maximum departure of surface from best fit sphere
s = (Nx +Ny)/2, i = Nx - Ny where Nx Ny are fringe counts across effective aperture
in two orthogonal directions. In most workshops, fringes are HeNe .633 nm.
4/c(d) c = centration error of surface in minutes relative to datum(s) indicated, d=
lateral decentration in mm, only applies to aspheric surfaces.
5/nxd;Lnxw;Cnxc;Ee Digs, scratches, coating defects and edge chips: n=number; d=dig size in mm,
interpreted as for bubble size (above); w=scratch width in mm; c=coating defect
size in mm; e=maximum edge chip extent in from nominal edge in mm.
e.g. 5/1x0.5;L1x0.008 is equivalent to MIL-O-13830A 80-50.
 Functional coating: Key to symbols  = reflectivity  = transmission  =
absorption, wavelengths given in nm, default is mercury e (546.1).
Øe Effective (i.e. clear) aperture diameter.
R Radius: CX = convex, CC = concave, P3 = fine polish, G Rq 0.1µm = fine ground.
Suggested note for appending to optical drawings:
38
Standard values
39
Exercise
40
OSLO

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Lens Drawing best of all time that is enhanced

  • 1. 1 introduction to optical drawings ISO 10110:1996
  • 2. 2
  • 3. 3
  • 7. 7
  • 9. 9 FUNDAMENTAL STIPULATIONS All indications apply to the finished product (except where specified), in mm, at 22°C. Mercury e-line (546.07nm) default For preference, light is incident from the left, axis is horizontal. If components are hatched, cemented assemblies to be hatched in alternate directions On each drawing add note, near the title: “Indications in accordance with ISO 10110”
  • 10. 10 AXES Axis of symmetry, rotation axis, centre line Optical axis Exaggerate shifts, if necessary, for clarity
  • 11. 11 RADII OF CURVATURE Radius leaders can extend to the axis Tolerances can be expressed numerically or interferometrically Flat surface denoted by R, with tolerance expressed interferometrically Weak surfaces e.g. R3000 CX (or CC) Toric surfaces e.g. Rcyl 50
  • 12. 12 SURFACE TEXTURE A specular surface (“polished”) is denoted by P, followed by 4 (<3) 3 (3-15) 2 (16-79) 1 (80- 400 defects per 10 mm of length) Matt (“ground”) is denoted by G, with maximum r.m.s. roughness denoted by Rq followed by a value in microns. G Rq 2
  • 13. 13 Surface Texture (Polish and Grind) ISO 10110-8
  • 14. 14 THICKNESS Tolerances preferably symmetrical. Overall thickness in brackets. If the thickness of a sub-assembly has tighter tolerances than the individual components, the thickness tolerance of the sub-assembly is followed by the letter M, indicating that the parts are to be matched. (16,3) 14 ±0,1
  • 16. 16 DIAMETER & TEST AREAS Tolerances expressed as for mechanical parts Optical clear diameter, “effective diameter” e.g. e66. Test areas shaded, as below - test regions may be labelled. Test volumes may also be defined (e.g. Special tolerance for bubbles) (16,3) 14 ±0,1 68 -0,1 -0,05  e 66 1 2
  • 17. 17 CHAMFERS A bevel is a functional surface which must be fully toleranced; a protective chamfer replaces an edge or corner and must not be drawn. It is dimensioned as shown (“w”). A dimension marked “theor” ignores any chamfer. Inside edges are generally toleranced as maximum permitted width. If an edge must remain sharp, use the symbol “O” 50 ±0,1 theor O 30°±5° 0,3 0,1 NOTE - Protective chamfers 0,2-0,5 0,3
  • 18. 18 TABULAR DATA MATERIAL Name, manufacturer, n refractive index, Abbe number. 0/ Stress birefringence tolerance 1/ Bubbles and inclusions tolerance 2/ Inhomogeneity and striae tolerance SURFACE R CX/CC radius e optically effective diameter Protective chamfer 3/ Surface form tolerance 4/ Centring tolerance 5/ Digs, coating imperfections, edge chips 6/ Laser irradiation damage threshold “To be cemented” if appropriate
  • 19. 19 0: STRESS BIREFRINGENCE 0/A where A = maximum permissible stress bifringence in nm per cm of optical path length. A=20 Magnifiers and viewfinders A=10 Microscopes and photographic lenses A=5 Astronomical telescopes A<2 Polarisation instruments, interferometers OPD = sample path length (cm) x residual stress (N/mm2)xdifference in photoelastic constants (10-7 mm2/N) 1/2 x 0,25 0/20 Schott catalogue values for A: Normal fine annealed <= 10 Normal special annealed <= 6 Precision special annealed <= 4 but BK7 800 mm diam <= 12 and BK7 1000 mm diam <= 20
  • 21. 21 1: BUBBLES AND INCLUSIONS 1/N x A where N = number of maximum size bubbles allowed, A = area of projected area of the largest allowable bubble, in mm. Larger numbers of bubbles are allowed if the total area does not exceed NxA2 Bubbles smaller than 0.16A are not counted. Preferred values of A are 0,1; 0,16; 0,25; 0,4; and 0,63 and powers of 10 above and below. Multiples are x2.5 for one grade up, x6.3 for two grades up, and x16 for three grades up. e.g. 2x2.5=5 bubbles of grade 0,16 or 2x6.3=12 of grade 0,1 or 2x16=32 of grade 0,063 will satisfy the example given here. Not more than 20% of the bubbles (or 2, if N is less than 10) can be concentrated in less than 5% of the test region. 1/2 x 0,25 0/20
  • 22. 22 1: BUBBLES AND INCLUSIONS
  • 23. 23 2: INHOMOGENEITY AND STRIAE 2/A;B where A = 0 means inhomogeneity <±50.10-6 A =1: 20 A =2:5 A =3:2 A =4:1 These correspond to roughly to Schott Normal & H1..H4 B =5 means extremely free of striae (Schott P, NVS), =4 means striae occupy <1% of test area (Schott N), =3: <2% =2: <5%, =1:<10% 1/2 x 0,25 0/20 2/1;4 A is class number for inhomogeneity (variation in index of refraction from nominal for (usually) the melt where the element came from) B is class for striae (variations in index of refraction inside the element) 2/A;B
  • 24. 24 3: SURFACE FORM Best fit sphere Measured surface Plane surface SAGITTA IRREGULARITY e66 3/A(-) where A = sagitta, maximum departure of the best fit sphere from plane, in fringes 3/A(B) where B = irregularity, maximum (PV) departure of the surface from the best fit sphere. 3/A(B/C) where C = rotationally symmetric irregularity, maximum departure of irregularity from the best fitting aspheric 3/- RMSt <(total) ;RMSi <(irregular); RMSa <(asymmetrical). “Total surface deviation not to exceed .... ” 547.07 nm - mercury green unless otherwise specified
  • 26. 26 4: CENTRING 14 ±0,1 (16,3) A 4/2AB 4/ where  = angle of surface relative to datum (or datums) in minutes - e.g. 4/2 AB. 4/ for cemented surfaces, where  = relative angle between surfaces 4/(L), where L = lateral displacement (e.g. for aspheric) Decentration = deviation x 0.00029/(n-1)/(1/R1-1/R2) e.g. Runout = 2 x decentration: e.g. 0,01 A B 0,02 A B B
  • 27. 27 5: SURFACE IMPERFECTIONS (I) 5/N x A where N = number of maximum size digs allowed, A = area of projected area of the largest allowable dig, in mm (i.e length of side of square defect). Smaller digs allowed if cumulative area does not exceed area of NxA. Defects less than 0,16A are not counted. ...CNxA: Coating blemish limits are preceded by C, otherwise include in the general count. ...LNxA Long (>2 mm) scratch limits are preceded by L (N is the number, A is the width in mm). ...EA Edge chip limits are preceded by E (any number are permitted provided maximum extent from the physical edge, excluding any chamfer, does not exceed A mm). 5/2 x 0,16; L 2 x 0,04; E 0,5 Preferred grades: 0,004 0,0063 0,01 0,016 0,025 and multiples of 10
  • 28. 28 5: SURFACE IMPERFECTIONS (II) 5/TV for transmitted light inspection, 5/RV for reflected light, where V = 1...5 is visibility class number (1 is most stringent). 12500 lx against black background. 22500 lx 31250 lx 4625 lx 51310 lx against a variable background. To standardise, each user must adjust the background level until the standard defect (consisting of a chrome evaporated reticle consisting of two crossed lines, each 15 mm long, 0,007 mm wide, on 3 mm thick BK7) is only just visible at 2500 lx. In transmitted light, any defect (not only a surface defect) visible under the light conditions specified, counts as a failure. 5/T3 This is an alternative method:
  • 29. 29 6: LASER IRRADIATION DAMAGE THRESHOLD
  • 30. 30 Surface Treatment and Coatings ISO 10110-9 Fill in the box according to ISO 9211 – – Very important 4-part standard describing coatings specifications Example would be T = 0.9 for 450 < λ < 750. Could also refer to a graph indicated elsewhere in the drawing Could also refer to manufacturer’s coating trade name Also indicate a surface to be cemented. 30
  • 31. 31 SURFACE TREATMENT & COATING  indicates a functional coating. Symbol is located outside the element unless under a protective layer, indicated by a thick chain- dotted line.  refers to % transmission,  to % reflection, and  to % absorption. All dimensions refer to the finished product, unless explicitly stated that they refer to the untreated part. Beamsplitter coating  :  =60±5:40±5 after cementing,  0,04 for  = 450 ... 650  Black paint no. 129C5 0,1 mm max. thickness  
  • 32. 32 ASPHERIC SURFACES 12 38 0,005 A B B 2 G P2 Asphere, toroid, paraboloid indicates a non- spherical surface. The equation (except for a cylinder) is given in a note. Unless more than one diagram is included, the section given is the y-z plane. The asphere may be exaggerated for clarity. Tolerances may be on the sagitta z, on the slope, or on decentration with a 4/( ) code.          5 2 2 2 2 2 2 / ) 1 ( 1 1 i i ih A R h R h z  h z z Slope tol R = 56,031 0,0 0,000 0,000 0,3'  = -3 5,0 0,219 0,002 0,5' A4 = -0,432 64 E-05 10,0 0,825 0,004 0,5' A6 = -0,976 14 E-08 15,0 1,599 0,006 0,8' A8 = -0,108 52 E-11 19,0 1,934 0,008 1,0' A10 = -0,122 84 E-13
  • 33. 33 OPTICAL LAYOUT DRAWINGS Shows relative positions of all components, including separations, centring data, magnification, n.a., field stops and pupils, clear apertures spectral passband, etc. A indicates an adjustment made during assembly. V indicates a variation during use. A cross (X) on the axis indicates a field stop or image; a vertical line on the axis indicates a pupil. An image with no physical aperture is marked with dashed lines: 20 10 FS2 P1 FS1
  • 37. 37 PRACTICAL IMPLEMENTATION Indications in accordance with ISO 10110. Interpretation of the symbols will be as follows: MATERIAL: 0/s s = stress birefringence in nm/cm, 10 unless otherwise specified. 1/n x b Bubbles and inclusions: n= number, b=bubble size, side of square with equivalent area, in mm 2/ i ; s i = inhomogeneity class (default i = 0 is equivalent to index difference ±0.000050 within a part), s = striae class: default s = 0 means <10% of area filled by striae with optical path difference > 30 nm; s = 4 (<1%), corresponds to Schott grade N. SURFACE: 3/s(i) Form error: s = spherical error, departure of best fit sphere from nominal shape, i = irregularity, maximum departure of surface from best fit sphere s = (Nx +Ny)/2, i = Nx - Ny where Nx Ny are fringe counts across effective aperture in two orthogonal directions. In most workshops, fringes are HeNe .633 nm. 4/c(d) c = centration error of surface in minutes relative to datum(s) indicated, d= lateral decentration in mm, only applies to aspheric surfaces. 5/nxd;Lnxw;Cnxc;Ee Digs, scratches, coating defects and edge chips: n=number; d=dig size in mm, interpreted as for bubble size (above); w=scratch width in mm; c=coating defect size in mm; e=maximum edge chip extent in from nominal edge in mm. e.g. 5/1x0.5;L1x0.008 is equivalent to MIL-O-13830A 80-50.  Functional coating: Key to symbols  = reflectivity  = transmission  = absorption, wavelengths given in nm, default is mercury e (546.1). Øe Effective (i.e. clear) aperture diameter. R Radius: CX = convex, CC = concave, P3 = fine polish, G Rq 0.1µm = fine ground. Suggested note for appending to optical drawings: