Abstract

A design for focusing an incoming light into an ultrasmall spot with a long depth of focus is proposed. We use a phase plate with three concentric regions to modulate the incoming light from radial polarization into outward–inward–outward polarization. The analysis shows that the design is more suitable for a lens with a high numerical aperture because much energy is concentrated in the main lobe of the focus spot.

© 2003 Optical Society of America

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References

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  1. S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Opt. Commun. 179, 1 (2000).
    [CrossRef]
  2. G. Yang, Opt. Commun. 159, 19 (1999).
    [CrossRef]
  3. L. E. Helseth, Opt. Commun. 191, 161 (2001).
    [CrossRef]
  4. B. Richards and E. Wolf, Proc. R. Soc. A 253, 358 (1959).
    [CrossRef]
  5. J. J. Stamnes, Waves in Focal Regions (Hilger, London, 1986).

2001 (1)

L. E. Helseth, Opt. Commun. 191, 161 (2001).
[CrossRef]

2000 (1)

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Opt. Commun. 179, 1 (2000).
[CrossRef]

1999 (1)

G. Yang, Opt. Commun. 159, 19 (1999).
[CrossRef]

1959 (1)

B. Richards and E. Wolf, Proc. R. Soc. A 253, 358 (1959).
[CrossRef]

Dorn, R.

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Opt. Commun. 179, 1 (2000).
[CrossRef]

Eberler, M.

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Opt. Commun. 179, 1 (2000).
[CrossRef]

Glöckl, O.

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Opt. Commun. 179, 1 (2000).
[CrossRef]

Helseth, L. E.

L. E. Helseth, Opt. Commun. 191, 161 (2001).
[CrossRef]

Leuchs, G.

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Opt. Commun. 179, 1 (2000).
[CrossRef]

Quabis, S.

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Opt. Commun. 179, 1 (2000).
[CrossRef]

Richards, B.

B. Richards and E. Wolf, Proc. R. Soc. A 253, 358 (1959).
[CrossRef]

Stamnes, J. J.

J. J. Stamnes, Waves in Focal Regions (Hilger, London, 1986).

Wolf, E.

B. Richards and E. Wolf, Proc. R. Soc. A 253, 358 (1959).
[CrossRef]

Yang, G.

G. Yang, Opt. Commun. 159, 19 (1999).
[CrossRef]

Opt. Commun. (3)

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Opt. Commun. 179, 1 (2000).
[CrossRef]

G. Yang, Opt. Commun. 159, 19 (1999).
[CrossRef]

L. E. Helseth, Opt. Commun. 191, 161 (2001).
[CrossRef]

Proc. R. Soc. A (1)

B. Richards and E. Wolf, Proc. R. Soc. A 253, 358 (1959).
[CrossRef]

Other (1)

J. J. Stamnes, Waves in Focal Regions (Hilger, London, 1986).

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Figures (5)

Fig. 1
Fig. 1

(a) Radial polarization. (b) Phase plate with three concentric regions. The phase modulation in the black region is 180° with respect to the other portions. (c) Outward–inward–outward polarization.

Fig. 2
Fig. 2

Energy distribution on the focus plane of a radial-polarized light.

Fig. 3
Fig. 3

(a) Energy distribution along the optical axis. The dashed curve with twin peaks corresponds to the OIOP case. The other two lines represent transverse and vertical components, respectively, of the diffraction-limited case. (b) Energy distribution across the plane including the optical axis. The units on both axes are in micrometers.

Fig. 4
Fig. 4

Energy ratio of the transverse component versus NA.

Fig. 5
Fig. 5

Comparison of the position of the first minimum between the OIOP case and the diffraction-limited case.

Tables (1)

Tables Icon

Table 1 Comparison of the Spot Size and Energy Spread for Various Conditions

Equations (2)

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Δr=0.61λ/NA,
UP=-iλΩAwaˆsx,sysz×expiksxpx+sypy+szpzdsxdsy,

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