Abstract

A method to find the optimal position of tilt surfaces to construct axially asymmetric lens systems is proposed. The tilt surface number is extended to the real number and included in the independent variables of the optimization.

© 2011 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. Imafuku, T. Hisada, and H. Yoshikawa, “Projection type image display device,” U.S. patent 7,589,904 (15 September 2009).
  2. A. Yabe, “Optimal selection of aspheric surfaces in optical design,” Opt. Express 13, 7233–7242 (2005).
    [CrossRef] [PubMed]
  3. A. Yabe, “Global optimization with traveling aspherics—aspheric surface number as continuous variable,” Proc. SPIE 7652, 76522P (2010).
    [CrossRef]
  4. A. Yabe, “Optical system design method using real number surface number,” U.S. patent 7,852,571 (14 December 2010).
  5. A. Yabe, “Global optimization of zoom lenses,” Proc. SPIE 3482, 122–125 (1998).
    [CrossRef]
  6. A. Yabe, “MTF optimization by automatic adjustment of aberration merit function,” Proc. SPIE 4832, 206–217 (2002).
    [CrossRef]

2010

A. Yabe, “Global optimization with traveling aspherics—aspheric surface number as continuous variable,” Proc. SPIE 7652, 76522P (2010).
[CrossRef]

2005

2002

A. Yabe, “MTF optimization by automatic adjustment of aberration merit function,” Proc. SPIE 4832, 206–217 (2002).
[CrossRef]

1998

A. Yabe, “Global optimization of zoom lenses,” Proc. SPIE 3482, 122–125 (1998).
[CrossRef]

Hisada, T.

D. Imafuku, T. Hisada, and H. Yoshikawa, “Projection type image display device,” U.S. patent 7,589,904 (15 September 2009).

Imafuku, D.

D. Imafuku, T. Hisada, and H. Yoshikawa, “Projection type image display device,” U.S. patent 7,589,904 (15 September 2009).

Yabe, A.

A. Yabe, “Global optimization with traveling aspherics—aspheric surface number as continuous variable,” Proc. SPIE 7652, 76522P (2010).
[CrossRef]

A. Yabe, “Optimal selection of aspheric surfaces in optical design,” Opt. Express 13, 7233–7242 (2005).
[CrossRef] [PubMed]

A. Yabe, “MTF optimization by automatic adjustment of aberration merit function,” Proc. SPIE 4832, 206–217 (2002).
[CrossRef]

A. Yabe, “Global optimization of zoom lenses,” Proc. SPIE 3482, 122–125 (1998).
[CrossRef]

A. Yabe, “Optical system design method using real number surface number,” U.S. patent 7,852,571 (14 December 2010).

Yoshikawa, H.

D. Imafuku, T. Hisada, and H. Yoshikawa, “Projection type image display device,” U.S. patent 7,589,904 (15 September 2009).

Opt. Express

Proc. SPIE

A. Yabe, “Global optimization with traveling aspherics—aspheric surface number as continuous variable,” Proc. SPIE 7652, 76522P (2010).
[CrossRef]

A. Yabe, “Global optimization of zoom lenses,” Proc. SPIE 3482, 122–125 (1998).
[CrossRef]

A. Yabe, “MTF optimization by automatic adjustment of aberration merit function,” Proc. SPIE 4832, 206–217 (2002).
[CrossRef]

Other

D. Imafuku, T. Hisada, and H. Yoshikawa, “Projection type image display device,” U.S. patent 7,589,904 (15 September 2009).

A. Yabe, “Optical system design method using real number surface number,” U.S. patent 7,852,571 (14 December 2010).

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 (10)

Fig. 1
Fig. 1

(a) First, (b) second, and (c) third modes of tilt.

Fig. 2
Fig. 2

(a) Singlet without tilt. (b) Tilt at the front surface. (c) Tilt at the rear surface. (d) Addition of a thin layer of glass before the front surface. (e) Addition of a thin layer of glass after the rear surface. Intermediate states with interpolation ratios of (f)  1:3 (g)  2:2 , and (h)  3:1 .

Fig. 3
Fig. 3

(a) Doublet without tilt. (b) Tilt at the rear surface of the first lens. (c) Tilt at the front surface of the second lens.  (d) Addition of a thin layer of air before the rear surface of the first lens. (e) Addition of a thin layer of air after the front surface of the second lens. Intermediate states with interpolation ratios of (f)  1:3 , (g)  2:2 , and (h)  3:1 .

Fig. 4
Fig. 4

(a) Another definition of the intermediate state of the singlet. (b) Another definition of the intermediate state of the doublet.

Fig. 5
Fig. 5

Position of the inserted surfaces as a function of the real-number surface number.

Fig. 6
Fig. 6

Starting lens of the example.

Fig. 7
Fig. 7

Tilt of the screen and induced keystone distortion.

Fig. 8
Fig. 8

Best design after MTF optimization.

Fig. 9
Fig. 9

History of the tilt surface numbers in the global optimization.

Fig. 10
Fig. 10

MTF merit function after MTF optimization.

Tables (5)

Tables Icon

Table 1 Intermediate Surface Tilt in the Glass Space

Tables Icon

Table 2 Intermediate Surface Tilt in the Air Space

Tables Icon

Table 3 Another Definition of the Intermediate State

Tables Icon

Table 4 Specifications of the Example

Tables Icon

Table 5 Tilt Values of the Best Design

Metrics