Abstract

An ultra long high resolution beam with extension of depth of focus (DoF) in the axial direction as well as high resolution in the transverse direction has been demonstrated by a seven-zone rotationally symmetrical complex pupil filter imposed at the aperture of a focusing lens. Both amplitude and phase of the transmitted light are modulated in different zones. The scalar diffraction theory is used to optimize the zone parameters. Simulation results show that extended DoF of the beam is increased by 16 times while the spot size at the beam waist is reduced to 0.7 times.

© 2007 Optical Society of America

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References

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2007 (1)

2006 (5)

2005 (1)

2003 (1)

2002 (1)

2001 (1)

2000 (1)

1998 (1)

1997 (2)

1996 (1)

C. J. R. Sheppard, “Synthesis of filters for specified axial properties,” J. Mod. Optic. 43, 525–536 (1996).
[Crossref]

1992 (1)

H. Ando, “Phase-shifting apodizer of three or more portions,” Jpn. J. Appl. Phys. 31, 557–567 (1992).
[Crossref]

1988 (1)

1960 (1)

W. T. Welford, “Use of annular aperture to increase focal depth,” J. Opt. Soc. Am. A 50, 749–753 (1960).
[Crossref]

1952 (1)

G. Toraldo di Francia, “Super-gain antennas and optical resolving power,” Nuovo Cimento, Suppl. 9, 426–435 (1952).
[Crossref]

Ando, H.

H. Ando, “Phase-shifting apodizer of three or more portions,” Jpn. J. Appl. Phys. 31, 557–567 (1992).
[Crossref]

Ben-Eliezer, E.

Born, M.

M. Born and E. Wolf, Principles of optics (Pergamon, New York, 1975).

Caballero, M.

Cagigal, M. P.

Calvert, G.

Campos, J.

Canales, V. F.

Chong, T.

H. Wang, L. Shi, G. Yuan, W. Tan, and T. Chong, “Subwavelength and super-resolution nondiffraction beam,” Appl. Phys. Lett. 89, 171102 (2006).
[Crossref]

Davis, J. A.

Eliezer, E. B.

Francia, G. Toraldo di

G. Toraldo di Francia, “Super-gain antennas and optical resolving power,” Nuovo Cimento, Suppl. 9, 426–435 (1952).
[Crossref]

Gan, F.

Hegedus, Z. S.

Iemmi, C.

Jabbour, T.

Juana, D. M. de

Juskaitis, R.

Konforti, N.

Kuebler, S.

Laczik, Z. J.

Liu, D.

Liu, L.

López-Coronado, O.

Marom, E.

Martinez-Corral, M.

Morris, G. M.

Neil, M. A. A.

Oti, J. E.

Sales, T. R. M.

Sarafis, V.

Shemer, A.

Sheppard, C. J. R.

Shi, L.

H. Wang, L. Shi, G. Yuan, W. Tan, and T. Chong, “Subwavelength and super-resolution nondiffraction beam,” Appl. Phys. Lett. 89, 171102 (2006).
[Crossref]

Stelzer, E. H. K.

Sun, J.

Swoger, J.

Tan, W.

H. Wang, L. Shi, G. Yuan, W. Tan, and T. Chong, “Subwavelength and super-resolution nondiffraction beam,” Appl. Phys. Lett. 89, 171102 (2006).
[Crossref]

Tuvey, C. S.

Wang, H.

H. Wang, L. Shi, G. Yuan, W. Tan, and T. Chong, “Subwavelength and super-resolution nondiffraction beam,” Appl. Phys. Lett. 89, 171102 (2006).
[Crossref]

H. Wang and F. Gan, “High focal depth with a pure-phase apodizer,” Appl. Opt. 40, 5658–5662 (2001).
[Crossref]

Welford, W. T.

W. T. Welford, “Use of annular aperture to increase focal depth,” J. Opt. Soc. Am. A 50, 749–753 (1960).
[Crossref]

Wheatland, M.

Wilson, T.

Wolf, E.

M. Born and E. Wolf, Principles of optics (Pergamon, New York, 1975).

Yuan, G.

H. Wang, L. Shi, G. Yuan, W. Tan, and T. Chong, “Subwavelength and super-resolution nondiffraction beam,” Appl. Phys. Lett. 89, 171102 (2006).
[Crossref]

Yun, M.

Yzuel, M. J.

Zalevsky, Z.

Zlotnik, A.

Appl. Opt. (2)

Appl. Phys. Lett. (1)

H. Wang, L. Shi, G. Yuan, W. Tan, and T. Chong, “Subwavelength and super-resolution nondiffraction beam,” Appl. Phys. Lett. 89, 171102 (2006).
[Crossref]

J. Mod. Optic. (1)

C. J. R. Sheppard, “Synthesis of filters for specified axial properties,” J. Mod. Optic. 43, 525–536 (1996).
[Crossref]

J. Opt. Soc. Am. A (5)

Jpn. J. Appl. Phys. (1)

H. Ando, “Phase-shifting apodizer of three or more portions,” Jpn. J. Appl. Phys. 31, 557–567 (1992).
[Crossref]

Nuovo Cimento, Suppl. (1)

G. Toraldo di Francia, “Super-gain antennas and optical resolving power,” Nuovo Cimento, Suppl. 9, 426–435 (1952).
[Crossref]

Opt. Express (4)

Opt. Lett. (4)

Other (1)

M. Born and E. Wolf, Principles of optics (Pergamon, New York, 1975).

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Figures (4)

Fig. 1.
Fig. 1.

Schematic of the seven-zone complex pupil filter. Only phase changes are shown in this figure.

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Fig. 2.
Fig. 2.

(a). 3D PSF and (b). intensity distribution in the focal region of original system and (c). 3D PSF and (d) intensity distribution of the optical system optimized with seven-zone complex pupil filter.

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Fig 3.
Fig 3.

Axial intensity distribution in the focal region: (blue line) original system without pupil filter and (magenta line) optimized system with seven-zone pupil filter.

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Fig 4.
Fig 4.

Transverse intensity distribution in the focal region: (blue line) original system without pupil filter and (magenta line) optimized system with seven-zone pupil filter.

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Tables (1)

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Table 1. Parameters of seven-zone complex pupil filter

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Equations (5)

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ψ ( η ) = 2 ∫ 0 1 A ( r ) exp [ i ϕ ( r ) ] J 0 ( η r ) rdr ,
d = λ 2 ( n 1 − n 2 ) ,
G ( v , u ) = 2 ∑ j = 1 N T j × exp ( i ϕ j ) × ∫ r j − 1 r j r × J 0 ( vr ) × exp [ − iu r 2 2 ] dr ,
v = 2 π λ × NA × R ,
u = 2 π λ × N A 2 × Z ,

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