Abstract

Diffractive optical elements (DOEs) are often used to improve the performance of optical systems. However, when a blazed DOE is machined, shape errors can be generated in the discontinuity region of the DOE due to the finite radius of the processing tool. We simulated the effects of this shape error on the optical path and modulation transfer function (MTF) in a hybrid lens for a compact camera module. The decrease rate of the MTF was larger in the low-spatial-frequency domain and when the light entered at a low incident angle.

© 2008 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. C. G. Blough, M. Rossi, S. K. Mack, and R. L. Michaels, “Single-point diamond turning and replication of visible and near-infrared diffractive optical elements,” Appl. Opt. 36, 4648-4654 (1997).
    [CrossRef] [PubMed]
  2. Y. Tamagawa and Y. Ichioka, “Modulation transfer function of blazed diffractive optics produced by diamond turning,” Opt. Rev. 6288-292 (1999).
    [CrossRef]
  3. Y. Tamagawa and Y. Ichioka, “Efficiency of blazed diffractive optics produced by diamond turning,” Opt. Rev. 5291-294 (1998).
    [CrossRef]
  4. J. W. Goodman, Introduction to Fourier Optics (Roberts, 2005).

1999 (1)

Y. Tamagawa and Y. Ichioka, “Modulation transfer function of blazed diffractive optics produced by diamond turning,” Opt. Rev. 6288-292 (1999).
[CrossRef]

1998 (1)

Y. Tamagawa and Y. Ichioka, “Efficiency of blazed diffractive optics produced by diamond turning,” Opt. Rev. 5291-294 (1998).
[CrossRef]

1997 (1)

Blough, C. G.

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (Roberts, 2005).

Ichioka, Y.

Y. Tamagawa and Y. Ichioka, “Modulation transfer function of blazed diffractive optics produced by diamond turning,” Opt. Rev. 6288-292 (1999).
[CrossRef]

Y. Tamagawa and Y. Ichioka, “Efficiency of blazed diffractive optics produced by diamond turning,” Opt. Rev. 5291-294 (1998).
[CrossRef]

Mack, S. K.

Michaels, R. L.

Rossi, M.

Tamagawa, Y.

Y. Tamagawa and Y. Ichioka, “Modulation transfer function of blazed diffractive optics produced by diamond turning,” Opt. Rev. 6288-292 (1999).
[CrossRef]

Y. Tamagawa and Y. Ichioka, “Efficiency of blazed diffractive optics produced by diamond turning,” Opt. Rev. 5291-294 (1998).
[CrossRef]

Appl. Opt. (1)

Opt. Rev. (2)

Y. Tamagawa and Y. Ichioka, “Modulation transfer function of blazed diffractive optics produced by diamond turning,” Opt. Rev. 6288-292 (1999).
[CrossRef]

Y. Tamagawa and Y. Ichioka, “Efficiency of blazed diffractive optics produced by diamond turning,” Opt. Rev. 5291-294 (1998).
[CrossRef]

Other (1)

J. W. Goodman, Introduction to Fourier Optics (Roberts, 2005).

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

Schematic diagram of a blazed DOE.

Fig. 2
Fig. 2

Shape error due to the finite radius of the processing tool.

Fig. 3
Fig. 3

Design of the hybrid lens for a compact camera module.

Fig. 4
Fig. 4

Design of the blazed DOE for a hybrid lens.

Fig. 5
Fig. 5

Modulation transfer function of (a) 0.0 field, (b) 0.4 field, and (c) 0.7 field, considering the shape error of the DOE.

Equations (5)

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

P ( x , y ) = P 0 ( x , y ) exp [ i 2 π λ W ( x , y ) ] ,
y error = R 2 ( x + x 0 ) 2 + y 0 ,
x 0 = R , y 0 = R ( d p + 1 + d 2 p 2 ) ,
d = λ 0 n 0 1 ,
x 1 = R ( 1 + d d 2 + p 2 ) .

Metrics