S. Vázquez-Montiel,
Tetsuya Suzuki,
and Morio Hosoya
S. Vázquez-Montiel (svazquez@inaoep.mx) is with the Instituto Nacional de Astrofísica, Optica y Electrónica, Apdo. Postal 51 y 216, C.P. 72000, Puebla, Puebla, Mexico.
T. Suzuki and M. Hosoya are with the R&D Center, Hoya Corporation, 3-3-1 Musashino, Akishima, Tokyo 196-8510, Japan.
S. Vázquez-Montiel, Tetsuya Suzuki, and Morio Hosoya, "FOCOIVA lens: a scanner in the lateral and longitudinal directions," Appl. Opt. 40, 4547-4556 (2001)
We propose what to our knowledge is a novel optical system that can
scan an optical axis simultaneously in the perpendicular and the
longitudinal directions (a two-dimensional scanner), which we have
named the FOCOIVA (acronym for focal constant and image variable)
lens system. We give the equations for first-order analysis and
also the equations of motion for the lenses. Examples calculated
with these equations are presented, and finally we give the optical
designs for the writing system that will be used for a reader of
digital documents.
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For the Petzval curvature we assume that
all the lenses are manufactured from the same glass with a refractive
index of 1.5.
Table 2
Construction Parameters for the Glass Version of the RDD
Writing Systema
Surface Number
Radius
Conic Constant
Axial Thickness
Semiaperture
Material
Principal Plane
1
38.66
0
4.5
5.0 × 12.0
FK3
12.23
2
-58.89
0
1.5
5.0 × 12.0
SF11
3
59.17
0
5.0 × 12.0
7.77
4
-37.12
-0.93945
2.5
5.0 × 22.0
BAK1
-2.96
5
-58.04
-1.56646
5.0 × 22.0
-4.63
6
-635.35
0
15
5.0 × 34.5
SF57
8.79
7
-46.77
-0.889754
5.0 × 34.5
0.65
8
-43.43
-0.878211
3.2
5.0 × 36.6
BAK1
-1.57
9
-101.21
0
5.0 × 36.6
-3.65
The units are in millimeters, and the
glass is from Schott Glass. The distance from the scanning mirror
to the first lens is 30 mm, the axial separation between the first and
the last lenses is 80 mm, the configuration type is
(- - + -), and the Petzval curvature is -0.00043116
mm-1.
Table 3
Construction Parameters for the Plastic Version of the RDD
Writing Systema
Lens Number
Radius
Conic Constant
Axial Thickness
Semiaperture
Material
Principal Plane
1
-72.49
-0.542471
1.5
5.0 × 11.5
Polystyrole
0.29
2
161.77
0
5.0 × 11.5
-0.65
3
1007.57
0
7
5.0 × 27.25
Polystyrole
4.21
4
-58.36
-0.2028
5.0 × 27.25
-0.24
5
111.23
1.03093
8.44
5.0 × 29.0
Polystyrole
2.20
6
-161.79
0
5.0 × 29.0
-3.21
7
-68.31
-1.26795
3.23
5.0 × 27.0
Polystyrole
0.63
8
153.12
4.26963
5.0 × 27.0
-1.41
The units are in millimeters and the
refractive index for polystyrole is 1.576871 at 830 nm. The
distance from the scanning mirror to the first lens is 30 mm, the axial
separation between first and the last lenses is 80 mm, the
configuration type is (- + + -), and the Petzval curvature is
-0.000477755 mm-1.
For the Petzval curvature we assume that
all the lenses are manufactured from the same glass with a refractive
index of 1.5.
Table 2
Construction Parameters for the Glass Version of the RDD
Writing Systema
Surface Number
Radius
Conic Constant
Axial Thickness
Semiaperture
Material
Principal Plane
1
38.66
0
4.5
5.0 × 12.0
FK3
12.23
2
-58.89
0
1.5
5.0 × 12.0
SF11
3
59.17
0
5.0 × 12.0
7.77
4
-37.12
-0.93945
2.5
5.0 × 22.0
BAK1
-2.96
5
-58.04
-1.56646
5.0 × 22.0
-4.63
6
-635.35
0
15
5.0 × 34.5
SF57
8.79
7
-46.77
-0.889754
5.0 × 34.5
0.65
8
-43.43
-0.878211
3.2
5.0 × 36.6
BAK1
-1.57
9
-101.21
0
5.0 × 36.6
-3.65
The units are in millimeters, and the
glass is from Schott Glass. The distance from the scanning mirror
to the first lens is 30 mm, the axial separation between the first and
the last lenses is 80 mm, the configuration type is
(- - + -), and the Petzval curvature is -0.00043116
mm-1.
Table 3
Construction Parameters for the Plastic Version of the RDD
Writing Systema
Lens Number
Radius
Conic Constant
Axial Thickness
Semiaperture
Material
Principal Plane
1
-72.49
-0.542471
1.5
5.0 × 11.5
Polystyrole
0.29
2
161.77
0
5.0 × 11.5
-0.65
3
1007.57
0
7
5.0 × 27.25
Polystyrole
4.21
4
-58.36
-0.2028
5.0 × 27.25
-0.24
5
111.23
1.03093
8.44
5.0 × 29.0
Polystyrole
2.20
6
-161.79
0
5.0 × 29.0
-3.21
7
-68.31
-1.26795
3.23
5.0 × 27.0
Polystyrole
0.63
8
153.12
4.26963
5.0 × 27.0
-1.41
The units are in millimeters and the
refractive index for polystyrole is 1.576871 at 830 nm. The
distance from the scanning mirror to the first lens is 30 mm, the axial
separation between first and the last lenses is 80 mm, the
configuration type is (- + + -), and the Petzval curvature is
-0.000477755 mm-1.