Abstract

The existence of multiple local solutions makes it very difficult to search for filter parameters to achieve a desired side lobe level during the design of superresolution pupil filters. To deal with the difficult issue of side lobe control in the designing process, a convex objective function-based design method is developed through phase rotation and variable replacement to transform the complicated solving process with multiextreme subintervals into a simple optimization process with a convex interval. A group of constant annular complex superresolving filters are designed using the developed method. The comparison of the superresolving filters designed in this way with the well-known continuous phase filter and 3-zone multiphase diffractive superresolution filters proves the validity of the developed method.

© 2008 Optical Society of America

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2007 (1)

2006 (2)

2005 (4)

H. Liu, Y. Yan, and G. Jin, “Design theories and performance limits of diffractive superresolution elements with the highest side lobe suppressed,” J. Opt. Soc. Am. A 22, 828-838 (2005).
[CrossRef]

M. T. Caballero, P. Andrés, A. Pons, J. Lancis, and M. Martínez-Corral, “Axial resolution in two-color excitation fluorescence microscopy by phase-only apodization,” Opt. Commun. 246, 313-321 (2005).
[CrossRef]

V. F. Canales, J. E. Oti, and M. P. Cagigal, “Three-dimensional control of the focal light intensity distribution by analytically designed phase masks,” Opt. Commun. 247, 11-18 (2005).
[CrossRef]

X. Zhao, C. Li, and H. Ruan, “New approach for improving transverse superresolution in optical data storage,” Opt. Eng. 44, 125202-1-125202-4 (2005).

2004 (3)

2003 (3)

2002 (1)

1997 (1)

1988 (1)

Andrés, P.

M. T. Caballero, P. Andrés, A. Pons, J. Lancis, and M. Martínez-Corral, “Axial resolution in two-color excitation fluorescence microscopy by phase-only apodization,” Opt. Commun. 246, 313-321 (2005).
[CrossRef]

Boyer, G.

Caballero, M. T.

M. T. Caballero, P. Andrés, A. Pons, J. Lancis, and M. Martínez-Corral, “Axial resolution in two-color excitation fluorescence microscopy by phase-only apodization,” Opt. Commun. 246, 313-321 (2005).
[CrossRef]

Cagigal, M. P.

V. F. Canales, J. E. Oti, and M. P. Cagigal, “Three-dimensional control of the focal light intensity distribution by analytically designed phase masks,” Opt. Commun. 247, 11-18 (2005).
[CrossRef]

M. P. Cagigal, J. E. Oti, V. F. Canales, and P. J. Valle, “Analytical design of superresolving phase filters,” Opt. Commun. 241, 249-253 (2004).
[CrossRef]

D. M. de Juana, J. E. Oti, V. F. Canales, and M. P. Cagigal, “Transverse or axial superresolution in a 4Pi confocal microscope by phase-only filters,” J. Opt. Soc. Am. A 20, 2172-2178 (2003).
[CrossRef]

D. M. de Juana, J. E. Oti, V. F. Canales, and M. P. Cagigal, “Design of superresolving continuous phase filters,” Opt. Lett. 28, 607-609 (2003).
[CrossRef]

Campos, J.

Canales, V. F.

de Juana, D. M.

Escalera, J. C.

Hegedus, Z. S.

Jia, J.

J. Jia, C. Zhou, and L. Liu, “Superresolution technology for reduction of the far-field diffraction spot size in the laser free-space communication system,” Opt. Commun. 228, 271-278(2003).
[CrossRef]

Jin, G.

Lancis, J.

M. T. Caballero, P. Andrés, A. Pons, J. Lancis, and M. Martínez-Corral, “Axial resolution in two-color excitation fluorescence microscopy by phase-only apodization,” Opt. Commun. 246, 313-321 (2005).
[CrossRef]

Ledesma, S.

Li, C.

X. Zhao, C. Li, and H. Ruan, “New approach for improving transverse superresolution in optical data storage,” Opt. Eng. 44, 125202-1-125202-4 (2005).

Liu, C.

Liu, H.

Liu, L.

J. Jia, C. Zhou, and L. Liu, “Superresolution technology for reduction of the far-field diffraction spot size in the laser free-space communication system,” Opt. Commun. 228, 271-278(2003).
[CrossRef]

Martínez-Corral, M.

M. T. Caballero, P. Andrés, A. Pons, J. Lancis, and M. Martínez-Corral, “Axial resolution in two-color excitation fluorescence microscopy by phase-only apodization,” Opt. Commun. 246, 313-321 (2005).
[CrossRef]

Morris, G. M.

Oti, J. E.

V. F. Canales, J. E. Oti, and M. P. Cagigal, “Three-dimensional control of the focal light intensity distribution by analytically designed phase masks,” Opt. Commun. 247, 11-18 (2005).
[CrossRef]

M. P. Cagigal, J. E. Oti, V. F. Canales, and P. J. Valle, “Analytical design of superresolving phase filters,” Opt. Commun. 241, 249-253 (2004).
[CrossRef]

D. M. de Juana, J. E. Oti, V. F. Canales, and M. P. Cagigal, “Design of superresolving continuous phase filters,” Opt. Lett. 28, 607-609 (2003).
[CrossRef]

D. M. de Juana, J. E. Oti, V. F. Canales, and M. P. Cagigal, “Transverse or axial superresolution in a 4Pi confocal microscope by phase-only filters,” J. Opt. Soc. Am. A 20, 2172-2178 (2003).
[CrossRef]

Park, S.-H.

Pons, A.

M. T. Caballero, P. Andrés, A. Pons, J. Lancis, and M. Martínez-Corral, “Axial resolution in two-color excitation fluorescence microscopy by phase-only apodization,” Opt. Commun. 246, 313-321 (2005).
[CrossRef]

Qiu, L.

Ruan, H.

X. Zhao, C. Li, and H. Ruan, “New approach for improving transverse superresolution in optical data storage,” Opt. Eng. 44, 125202-1-125202-4 (2005).

Sales, T. R. M.

Sheppard, C. J. R.

Valle, P. J.

M. P. Cagigal, J. E. Oti, V. F. Canales, and P. J. Valle, “Analytical design of superresolving phase filters,” Opt. Commun. 241, 249-253 (2004).
[CrossRef]

Yan, Y.

Zhao, W.

Zhao, X.

X. Zhao, C. Li, and H. Ruan, “New approach for improving transverse superresolution in optical data storage,” Opt. Eng. 44, 125202-1-125202-4 (2005).

Zhou, C.

J. Jia, C. Zhou, and L. Liu, “Superresolution technology for reduction of the far-field diffraction spot size in the laser free-space communication system,” Opt. Commun. 228, 271-278(2003).
[CrossRef]

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

Opt. Commun. (4)

J. Jia, C. Zhou, and L. Liu, “Superresolution technology for reduction of the far-field diffraction spot size in the laser free-space communication system,” Opt. Commun. 228, 271-278(2003).
[CrossRef]

M. T. Caballero, P. Andrés, A. Pons, J. Lancis, and M. Martínez-Corral, “Axial resolution in two-color excitation fluorescence microscopy by phase-only apodization,” Opt. Commun. 246, 313-321 (2005).
[CrossRef]

V. F. Canales, J. E. Oti, and M. P. Cagigal, “Three-dimensional control of the focal light intensity distribution by analytically designed phase masks,” Opt. Commun. 247, 11-18 (2005).
[CrossRef]

M. P. Cagigal, J. E. Oti, V. F. Canales, and P. J. Valle, “Analytical design of superresolving phase filters,” Opt. Commun. 241, 249-253 (2004).
[CrossRef]

Opt. Eng. (1)

X. Zhao, C. Li, and H. Ruan, “New approach for improving transverse superresolution in optical data storage,” Opt. Eng. 44, 125202-1-125202-4 (2005).

Opt. Express (2)

Opt. Lett. (4)

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