Abstract

We present a optical system with an extended point-spread function (PSF) for the localization of point sources in the visible and IR spectral ranges with a subpixel precision. This compact system involves a random phase mask (RPM) as its unique component. It exhibits original properties, because this RPM is used in a particular regime, called the “filamentation regime,” before the speckle region. The localization is performed by calculating the phase correlation between the PSF and the image obtained under off-axis illumination. Numerical simulations are presented to assess the basic optical properties of this RPM in the filamentation regime.

© 2011 Optical Society of America

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References

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  1. A. Ashok and M. A. Neifeld, Appl. Opt. 46, 2256 (2007).
    [CrossRef] [PubMed]
  2. R. H. Dicke, Astrophys. J. 153, L101 (1968).
    [CrossRef]
  3. E. E. Fenimore and T. M. Cannon, Appl. Opt. 17, 337 (1978).
    [CrossRef] [PubMed]
  4. S. R. Gottesman, A. Isser, and G. W. Gigioli, Proc. SPIE 7818, 781805 (2010).
    [CrossRef]
  5. A. Ashok and M. A. Neifeld, Appl. Opt. 49, B26 (2010).
    [CrossRef] [PubMed]
  6. J. Tanida, T. Kumagai, K. Yamada, S. Miyatake, K. Ishida, T. Morimoto, N. Kondou, D. Miyazaki, and Y. Ichioka, Appl. Opt. 40, 1806 (2001).
    [CrossRef]
  7. F. de la Barrière, G. Druart, N. Guérineau, and J. Taboury, Appl. Opt. 50, 943 (2011).
    [CrossRef]
  8. J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications (Roberts , 2007), Chap. 3, p. 29.
  9. P. Refregier, Opt. Lett. 16, 829 (1991).
    [CrossRef] [PubMed]

2011 (1)

2010 (2)

S. R. Gottesman, A. Isser, and G. W. Gigioli, Proc. SPIE 7818, 781805 (2010).
[CrossRef]

A. Ashok and M. A. Neifeld, Appl. Opt. 49, B26 (2010).
[CrossRef] [PubMed]

2007 (1)

2001 (1)

1991 (1)

1978 (1)

1968 (1)

R. H. Dicke, Astrophys. J. 153, L101 (1968).
[CrossRef]

Ashok, A.

Cannon, T. M.

de la Barrière, F.

Dicke, R. H.

R. H. Dicke, Astrophys. J. 153, L101 (1968).
[CrossRef]

Druart, G.

Fenimore, E. E.

Gigioli, G. W.

S. R. Gottesman, A. Isser, and G. W. Gigioli, Proc. SPIE 7818, 781805 (2010).
[CrossRef]

Goodman, J. W.

J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications (Roberts , 2007), Chap. 3, p. 29.

Gottesman, S. R.

S. R. Gottesman, A. Isser, and G. W. Gigioli, Proc. SPIE 7818, 781805 (2010).
[CrossRef]

Guérineau, N.

Ichioka, Y.

Ishida, K.

Isser, A.

S. R. Gottesman, A. Isser, and G. W. Gigioli, Proc. SPIE 7818, 781805 (2010).
[CrossRef]

Kondou, N.

Kumagai, T.

Miyatake, S.

Miyazaki, D.

Morimoto, T.

Neifeld, M. A.

Refregier, P.

Taboury, J.

Tanida, J.

Yamada, K.

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Figures (3)

Fig. 1
Fig. 1

(a) Illumination of the RPM by a plane wave. (b) SNR calculated from numerical simulations under monochromatic illumination as a function of d.(c) Polychromatic intensity distribution at the optimal working distance. (d) Polychromatic intensity distribution in speckle regime.

Fig. 2
Fig. 2

(a) On-axis monochromatic PSF of the RPM, the red square stands for the position and the size of the detector. (b) Portion of the on-axis PSF imaged on the detector. (c) Off-axis monochromatic illumination of the RPM (angle of incidence of the plane wave: 10 ° ). (d) Portion of (c) imaged on the detector.

Fig. 3
Fig. 3

Line profile centered on the correlation peak along one direction of the phase correlation between Figs. 2a, 2d.

Equations (6)

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P h ( h ) = 1 2 Π σ h 2 exp ( h 2 2 σ h 2 ) ,
Cov h h ( r ) = σ h 2 exp ( r 2 2 R c 2 ) .
t ( r ) = exp ( j 2 Π λ ( n 1 ) h ( r ) ) disk ( r a ) ,
SNR = Var ( I ) E [ I ] ,
d opt = 1 2 ( n 1 ) R c 2 σ h .
IFOV = FWHM d opt ,

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