Abstract

Different methods such as axilens and binary-phase filter have been investigated to improve the depth of focus. A method is proposed to calculate an amplitude–phase pupil filter and obtain the desired distribution of intensity along the optical axis. It produces a narrow spot with a uniform intensity level over a large depth of focus, comparable to the performance obtainable with binary-phase filters. This filter is of particular interest for applications where very low intensity fluctuations along the focus range are required.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. W. T. Welford, J. Opt. Soc. Am. A 50, 749 (1960).
    [CrossRef]
  2. J. H. McLeod, J. Opt. Soc. Am. 44, 592 (1953).
    [CrossRef]
  3. J. Sochacki, S. Bara, Z. Jaroszewicz, and A. Kolodziejczyk, Opt. Lett. 17, 7 (1992).
    [CrossRef] [PubMed]
  4. E. Marom, D. Mendlovic, N. Konforti, J. Katz, and C. Tan, Proc. SPIE 3010, 30 (1997).
    [CrossRef]
  5. H. Wang and F. Gan, Appl. Opt. 40, 5658 (2001).
    [CrossRef]
  6. L. Liu, C. Liu, W. C. Howe, C. J. R. Sheppard, and N. Chen, Opt. Lett. 32, 2375 (2007).
    [CrossRef] [PubMed]
  7. L. Liu, F. Diaz, L. Wang, B. Loiseaux, J.-P. Huignard, C. J. R. Sheppard, and N. Chen, J. Opt. Soc. Am. A 25, 2095 (2008).
    [CrossRef]
  8. M. Yun, L. Liu, J. Sun, and D. Liu, J. Opt. Soc. Am. A 22, 272 (2005).
    [CrossRef]
  9. S. Förster, H. Gross, F. Höller, and L. Höring, Proc. SPIE 5962, 44 (2005).
  10. S. Bagheri and B. Javidi, Opt. Lett. 33, 757 (2008).
    [CrossRef] [PubMed]
  11. J. Jia and C. Zhou, and L. Liu, Opt. Commun. 228, 271 (2003).
    [CrossRef]
  12. C. Zhou, J. Jia, and L. Liu, Opt. Lett. 28, 2174 (2003).
    [CrossRef] [PubMed]

2008 (2)

2007 (1)

2005 (2)

M. Yun, L. Liu, J. Sun, and D. Liu, J. Opt. Soc. Am. A 22, 272 (2005).
[CrossRef]

S. Förster, H. Gross, F. Höller, and L. Höring, Proc. SPIE 5962, 44 (2005).

2003 (2)

J. Jia and C. Zhou, and L. Liu, Opt. Commun. 228, 271 (2003).
[CrossRef]

C. Zhou, J. Jia, and L. Liu, Opt. Lett. 28, 2174 (2003).
[CrossRef] [PubMed]

2001 (1)

1997 (1)

E. Marom, D. Mendlovic, N. Konforti, J. Katz, and C. Tan, Proc. SPIE 3010, 30 (1997).
[CrossRef]

1992 (1)

1960 (1)

W. T. Welford, J. Opt. Soc. Am. A 50, 749 (1960).
[CrossRef]

1953 (1)

Bagheri, S.

Bara, S.

Chen, N.

Diaz, F.

Förster, S.

S. Förster, H. Gross, F. Höller, and L. Höring, Proc. SPIE 5962, 44 (2005).

Gan, F.

Gross, H.

S. Förster, H. Gross, F. Höller, and L. Höring, Proc. SPIE 5962, 44 (2005).

Höller, F.

S. Förster, H. Gross, F. Höller, and L. Höring, Proc. SPIE 5962, 44 (2005).

Höring, L.

S. Förster, H. Gross, F. Höller, and L. Höring, Proc. SPIE 5962, 44 (2005).

Howe, W. C.

Huignard, J.-P.

Jaroszewicz, Z.

Javidi, B.

Jia, J.

C. Zhou, J. Jia, and L. Liu, Opt. Lett. 28, 2174 (2003).
[CrossRef] [PubMed]

J. Jia and C. Zhou, and L. Liu, Opt. Commun. 228, 271 (2003).
[CrossRef]

Katz, J.

E. Marom, D. Mendlovic, N. Konforti, J. Katz, and C. Tan, Proc. SPIE 3010, 30 (1997).
[CrossRef]

Kolodziejczyk, A.

Konforti, N.

E. Marom, D. Mendlovic, N. Konforti, J. Katz, and C. Tan, Proc. SPIE 3010, 30 (1997).
[CrossRef]

Liu, C.

Liu, D.

Liu, L.

Loiseaux, B.

Marom, E.

E. Marom, D. Mendlovic, N. Konforti, J. Katz, and C. Tan, Proc. SPIE 3010, 30 (1997).
[CrossRef]

McLeod, J. H.

Mendlovic, D.

E. Marom, D. Mendlovic, N. Konforti, J. Katz, and C. Tan, Proc. SPIE 3010, 30 (1997).
[CrossRef]

Sheppard, C. J. R.

Sochacki, J.

Sun, J.

Tan, C.

E. Marom, D. Mendlovic, N. Konforti, J. Katz, and C. Tan, Proc. SPIE 3010, 30 (1997).
[CrossRef]

Wang, H.

Wang, L.

Welford, W. T.

W. T. Welford, J. Opt. Soc. Am. A 50, 749 (1960).
[CrossRef]

Yun, M.

Zhou, C.

J. Jia and C. Zhou, and L. Liu, Opt. Commun. 228, 271 (2003).
[CrossRef]

C. Zhou, J. Jia, and L. Liu, Opt. Lett. 28, 2174 (2003).
[CrossRef] [PubMed]

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 (4)

Fig. 1
Fig. 1

(a) Structure of the BPF. (b) Mean normalized intensity in the DOF region versus DOF for BPFs with three, five, and seven rings. Curves are vertically shifted for clarity.

Fig. 2
Fig. 2

(a) Normalized intensity distribution in the focal region for the single lens, (b) for the BPF with a DOF of 33 mm with fluctuation below 1%, and (c) for the HGCF with the same DOF.

Fig. 3
Fig. 3

Profiles of the amplitude transmission and phase of the BPF and the HGCF.

Fig. 4
Fig. 4

Mean normalized intensity versus DOF for BPF and HGCF with fluctuations below 10% and 1%.

Equations (5)

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

A ( ρ , z ) = exp ( j k z ) z × exp ( j k ρ 2 2 z ) 0 R P ( ρ P ) ρ P J 0 ( k ρ ρ P z ) exp [ j k ρ P 2 ( 1 z 1 f ) 2 ] d ρ P ,
A z ( z , A i , z i ) = A i × A p t ( z , z i ) × exp ( j φ p t ( z , z i ) ) ,
D = Z × A ,
T ( ρ ) = i T i ( ρ ) max ρ i T i ( ρ ) exp ( j k ρ 2 2 f ) ,
I z ( z ) i A i × A p t ( z , z i ) × exp ( j φ p t ( z , z i ) ) 2 .

Metrics