Abstract

The effect of angular aperture on the focal shift in optical systems of finite Fresnel number is considered. It is shown that the focal shift for a given Fresnel number decreases with increasing angular aperture.

© 1998 Optical Society of America

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References

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  1. G. Farnell, Can. J. Phys. 35, 777 (1957).
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  2. A. Arimoto, Opt. Acta 23, 245 (1976).
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  3. J. Erkkila and M. Rogers, J. Opt. Soc. Am. 71, 904 (1981).
    [CrossRef]
  4. J. Stamnes and B. Spejelkavik, Opt. Commun. 40, 81 (1981).
    [CrossRef]
  5. Y. Li and E. Wolf, Opt. Commun. 39, 211 (1981).
    [CrossRef]
  6. Y. Li, J. Opt. Soc. Am. 72, 770 (1982).
    [CrossRef]
  7. H. Ling and S. Lee, J. Opt. Soc. Am. 59, 559 (1984).
  8. W. Hsu and R. Barakat, J. Opt. Soc. Am. A 11, 623 (1994).
    [CrossRef]
  9. C. J. R. Sheppard, J. Opt. Soc. Am. 3, 1428 (1986).
    [CrossRef]

1994 (1)

1986 (1)

C. J. R. Sheppard, J. Opt. Soc. Am. 3, 1428 (1986).
[CrossRef]

1984 (1)

1982 (1)

1981 (3)

J. Erkkila and M. Rogers, J. Opt. Soc. Am. 71, 904 (1981).
[CrossRef]

J. Stamnes and B. Spejelkavik, Opt. Commun. 40, 81 (1981).
[CrossRef]

Y. Li and E. Wolf, Opt. Commun. 39, 211 (1981).
[CrossRef]

1976 (1)

A. Arimoto, Opt. Acta 23, 245 (1976).
[CrossRef]

1957 (1)

G. Farnell, Can. J. Phys. 35, 777 (1957).
[CrossRef]

Arimoto, A.

A. Arimoto, Opt. Acta 23, 245 (1976).
[CrossRef]

Barakat, R.

Erkkila, J.

Farnell, G.

G. Farnell, Can. J. Phys. 35, 777 (1957).
[CrossRef]

Hsu, W.

Lee, S.

Li, Y.

Y. Li, J. Opt. Soc. Am. 72, 770 (1982).
[CrossRef]

Y. Li and E. Wolf, Opt. Commun. 39, 211 (1981).
[CrossRef]

Ling, H.

Rogers, M.

Sheppard, C. J. R.

C. J. R. Sheppard, J. Opt. Soc. Am. 3, 1428 (1986).
[CrossRef]

Spejelkavik, B.

J. Stamnes and B. Spejelkavik, Opt. Commun. 40, 81 (1981).
[CrossRef]

Stamnes, J.

J. Stamnes and B. Spejelkavik, Opt. Commun. 40, 81 (1981).
[CrossRef]

Wolf, E.

Y. Li and E. Wolf, Opt. Commun. 39, 211 (1981).
[CrossRef]

Can. J. Phys. (1)

G. Farnell, Can. J. Phys. 35, 777 (1957).
[CrossRef]

J. Opt. Soc. Am. (4)

J. Opt. Soc. Am. A (1)

Opt. Acta (1)

A. Arimoto, Opt. Acta 23, 245 (1976).
[CrossRef]

Opt. Commun. (2)

J. Stamnes and B. Spejelkavik, Opt. Commun. 40, 81 (1981).
[CrossRef]

Y. Li and E. Wolf, Opt. Commun. 39, 211 (1981).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Geometry of the system. A wave that is convergent on G is diffracted by an aperture a.

Fig. 2
Fig. 2

Dependence of the fractional focal shift on Fresnel number. The shift is reduced for higher angles of convergence.

Fig. 3
Fig. 3

Dependence of the fractional focal shift on the convergence angle.

Equations (2)

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

N=2λf-f2-a2.
sin βsin α=11+2Δff cos α+Δff21/2.

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