Abstract

The distortion in a 2-D scan pattern generated by a system of a plane mirror and a regular polygon scanner was investigated using the matrix formulation of reflection by plane mirrors. A particular configuration involving the two scan elements was identified which does not introduce any distortion in its 2-D scan pattern.

© 1983 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. L. Levi, Applied Optics: A Guide to Optical System Design, Vol. 1 (Wiley, New York, 1968).
  2. T. Tajime, T. Saheki, M. Kondo, K. Ito, Proc. Soc. Photo-Opt. Instrum. Eng. 156, 241 (1978).
  3. U.S. Patent3,764,192, “Optical Raster Scan Generator,” 9Oct.1973, assigned to Hughes Aircraft Co.

1978

T. Tajime, T. Saheki, M. Kondo, K. Ito, Proc. Soc. Photo-Opt. Instrum. Eng. 156, 241 (1978).

Ito, K.

T. Tajime, T. Saheki, M. Kondo, K. Ito, Proc. Soc. Photo-Opt. Instrum. Eng. 156, 241 (1978).

Kondo, M.

T. Tajime, T. Saheki, M. Kondo, K. Ito, Proc. Soc. Photo-Opt. Instrum. Eng. 156, 241 (1978).

Levi, L.

L. Levi, Applied Optics: A Guide to Optical System Design, Vol. 1 (Wiley, New York, 1968).

Saheki, T.

T. Tajime, T. Saheki, M. Kondo, K. Ito, Proc. Soc. Photo-Opt. Instrum. Eng. 156, 241 (1978).

Tajime, T.

T. Tajime, T. Saheki, M. Kondo, K. Ito, Proc. Soc. Photo-Opt. Instrum. Eng. 156, 241 (1978).

Proc. Soc. Photo-Opt. Instrum. Eng.

T. Tajime, T. Saheki, M. Kondo, K. Ito, Proc. Soc. Photo-Opt. Instrum. Eng. 156, 241 (1978).

Other

U.S. Patent3,764,192, “Optical Raster Scan Generator,” 9Oct.1973, assigned to Hughes Aircraft Co.

L. Levi, Applied Optics: A Guide to Optical System Design, Vol. 1 (Wiley, New York, 1968).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Coordinate system.

Fig. 2
Fig. 2

Plane mirror scanner operating in (a) Mode I, (b) Mode II.

Fig. 3
Fig. 3

(a) and (b) Two possible arrangements of plane mirror and polygon in Type I scan configuration. (c) Scan distortion in Type I configuration.

Fig. 4
Fig. 4

(a) and (b) Two possible arrangements of plane mirror and polygon in Type II scan configuration. (c) Scan distortion in Type II configuration.

Fig. 5
Fig. 5

(a) Type III scan configuration. (b) Scan distortion in Type III configuration.

Equations (13)

Equations on this page are rendered with MathJax. Learn more.

( R x R y R z ) = ( 1 2 N x 2 2 N x N y 2 N x N z 2 N y N x 1 2 N y 2 2 N y N z 2 N z N x 2 N z N y 1 2 N z 2 ) ( I x I y I z ) ,
I x = cos β sin α , I y = cos β cos α , I z = sin β .
N 1 x = cos ( π 4 ϕ ) , N 1 y = sin ( π 4 ϕ ) , N 1 z = 0 ,
N 2 x = 1 2 cos θ , N 2 y = 1 2 cos θ , N 2 z = sin θ .
= tan 1 ( R x / R y ) , η = tan 1 ( R z / 1 R z 2 )
( 2 ϕ + α ) + θ ( θ + 2 β ) , η ( 2 θ + β ) 2 θ ( 2 ϕ + α ) .
( 2 ϕ + α ) + θ ( θ + 2 β ) , η ( 2 θ + β ) 2 θ α .
I x = cos α sin β , I y = sin α , I z = cos α cos β .
N 1 x = sin ( π 4 θ ) , N 1 y = 0 , N 1 z = cos ( π 4 θ ) ,
N 2 x = cos ( π 4 ϕ ) , N 2 y = sin ( π 4 ϕ ) , N 2 z = 0 ,
R x = cos ( 2 θ + β ) sin ( 2 ϕ ) cos α + cos ( 2 ϕ ) sin α , R y = cos ( 2 θ + β ) cos ( 2 ϕ ) cos α sin ( 2 ϕ ) sin α , R z = sin ( 2 θ + β ) cos α .
= 2 ϕ , η = 2 θ + β .
2 ϕ + α , η 2 θ + β .

Metrics