Abstract

A scanning optical probe system is proposed to measure a logarithmic axicon (LA) with subwavelength resolution. Multiple plane intensity profiles measured by a fiber probe are interpreted by solving an optimization problem to get the phase retardation function (PRF) of the LA. Experimental results show that this approach can accurately obtain the PRF with which the optical path difference of the generated quasi-nondiffracting beam in the propagation is calculated.

© 2013 Optical Society of America

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References

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2010 (1)

2007 (2)

2006 (2)

2004 (1)

B. M. Hanser, M. G. L. Gustafsson, D. A. Agard, and J. W. Sedat, J. Microsc. 216, 32 (2004).
[CrossRef]

2002 (1)

2001 (1)

1995 (1)

1993 (1)

1992 (1)

1982 (1)

1972 (1)

R. W. Gerchberg and W. O. Saxton, Optik 35, 237 (1972).

Agard, D. A.

B. M. Hanser, M. G. L. Gustafsson, D. A. Agard, and J. W. Sedat, J. Microsc. 216, 32 (2004).
[CrossRef]

Arimoto, R.

Aronstein, D. L.

B. H. Dean, D. L. Aronstein, and J. S. Smith, Proc. SPIE 6265, 626511 (2006).
[CrossRef]

Bachmann, A. H.

Cao, Z. L.

Z. L. Cao, K. Y. Wang, S. Wu, and Q. L. Wu, “Fabrication of refractive axicons utilizing electrostatic force,” Optik (to be published).
[CrossRef]

Cathey, W. T.

Charriere, F.

Chebbi, B.

Chen, Z. P.

Chi, W.

Colomb, T.

Dean, B. H.

B. H. Dean, D. L. Aronstein, and J. S. Smith, Proc. SPIE 6265, 626511 (2006).
[CrossRef]

Depeursinge, C.

Ding, Z. H.

Dowski, R. E.

Fienup, J. R.

George, N.

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, Optik 35, 237 (1972).

Golub, I.

Gustafsson, M. G. L.

B. M. Hanser, M. G. L. Gustafsson, D. A. Agard, and J. W. Sedat, J. Microsc. 216, 32 (2004).
[CrossRef]

Hanser, B. M.

B. M. Hanser, M. G. L. Gustafsson, D. A. Agard, and J. W. Sedat, J. Microsc. 216, 32 (2004).
[CrossRef]

Jaroszewicz, Z.

Kawata, S.

Kolodziejczyk, A.

Lasser, T.

Leitgeb, R. A.

Marian, A.

Marquet, P.

Mikula, G.

Nelson, J. S.

Nowacki, D.

Petelczyc, K.

Ren, H. W.

Saloma, C.

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, Optik 35, 237 (1972).

Sedat, J. W.

B. M. Hanser, M. G. L. Gustafsson, D. A. Agard, and J. W. Sedat, J. Microsc. 216, 32 (2004).
[CrossRef]

Shaw, D.

Smith, J. S.

B. H. Dean, D. L. Aronstein, and J. S. Smith, Proc. SPIE 6265, 626511 (2006).
[CrossRef]

Sochacki, J.

Staronski, L. R.

Steinmann, L.

Sypek, M.

Tanaka, T.

Villiger, M.

Wang, K. Y.

Z. L. Cao, K. Y. Wang, S. Wu, and Q. L. Wu, “Fabrication of refractive axicons utilizing electrostatic force,” Optik (to be published).
[CrossRef]

Wu, Q. L.

Z. L. Cao, K. Y. Wang, S. Wu, and Q. L. Wu, “Fabrication of refractive axicons utilizing electrostatic force,” Optik (to be published).
[CrossRef]

Wu, S.

Z. L. Cao, K. Y. Wang, S. Wu, and Q. L. Wu, “Fabrication of refractive axicons utilizing electrostatic force,” Optik (to be published).
[CrossRef]

Zhao, Y. H.

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Figures (5)

Fig. 1.
Fig. 1.

Schematic of the scanning optical system. zi(i=1N) are the axial coordinates of detection planes scanned by the probe. The coordinate system defined here is used throughout this Letter. PMT, photomultiplier tube.

Fig. 2.
Fig. 2.

Normalized intensity distribution measured by the scanning system.

Fig. 3.
Fig. 3.

PRF of the LA, lens with f=22.78mm and f=8.8mm.

Fig. 4.
Fig. 4.

Comparison between measured and calculated intensity at different positions: (a) z=12mm, (b) z=15mm, (c) z=18mm, and (d) z=21mm.

Fig. 5.
Fig. 5.

OPD of the quasi-nondiffracting beam at different positions.

Equations (4)

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φ0(r)={α1r2+α2r3+α3r4+α4r5rr00Otherwise,
di=0r0IiI^idr0r0IiIidr0r0I^iI^idr,
d=sum(di)(i=1N),
φ=k2alog(f1+ar2),

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