Abstract

We show how well-developed saturated absorption spectroscopy could be adopted for subdiffraction propagation of optical images. We employ pump beams with appropriate spatial profiles that produce controllable inhomogeneous absorption and dispersion of the medium. We discuss advantages of using super-Gaussian and Laguerre–Gaussian pump beams.

© 2009 Optical Society of America

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  1. Lord Rayleigh, Philos. Mag. 8, 261 (1879).
  2. E. Paspalakis, A. F. Terzis, and P. L. Knight, J. Mod. Opt. 52, 1685 (2005).
    [CrossRef]
  3. G. S. Agarwal and K. T. Kapale, J. Phys. B 39, 3437 (2006).
    [CrossRef]
  4. D. D. Yavuz and N. A. Proite, Phys. Rev. A 76, 041802 (2007).
    [CrossRef]
  5. A. V. Gorshkov, L. Jiang, M. Greiner, P. Zoller, and M. D. Lukin, Phys. Rev. Lett. 100, 093005 (2008).
    [CrossRef] [PubMed]
  6. M. Kiffner, J. Evers, and M. S. Zubairy, Phys. Rev. Lett. 100, 073602 (2008).
    [CrossRef] [PubMed]
  7. H. S. Park, S. K. Lee, and J. Y. Lee, Opt. Express 16, 21982 (2008).
    [CrossRef] [PubMed]
  8. O. Firstenberg, M. Shuker, N. Davidson, and A. Ron, Phys. Rev. Lett. 102, 043601 (2009).
    [CrossRef] [PubMed]
  9. A. G. Truscott, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 82, 1438 (1999).
    [CrossRef]
  10. R. Kapoor and G. S. Agarwal, Phys. Rev. A 61, 053818 (2000).
    [CrossRef]
  11. P. K. Vudyasetu, D. J. Starling, and J. C. Howell, Phys. Rev. Lett. 102, 123602 (2009).
    [CrossRef] [PubMed]
  12. A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 74, 2447 (1995).
    [CrossRef] [PubMed]
  13. H. Li, V. A. Sautenkov, M. M. Kash, A. V. Sokolov, G. R. Welch, Y. V. Rostovtsev, M. S. Zubairy, and M. O. Scully, Phys. Rev. A 78, 013803 (2008).
    [CrossRef]
  14. J. Cheng and S. Han, Opt. Lett. 32, 1162 (2007).
    [CrossRef] [PubMed]
  15. S. W. Hell, Science 316, 1153 (2007).
    [CrossRef] [PubMed]
  16. T. L. Andrew, H. Y. Tsai, and R. Menon, Science 324, 917 (2009).
    [CrossRef] [PubMed]
  17. T. W. Hansch, M. D. Levenson, and A. L. Schawlow, Phys. Rev. Lett. 26, 946 (1971).
    [CrossRef]
  18. M. Nilsson and S. Kroll, Opt. Commun. 247, 393 (2005).
    [CrossRef]
  19. A. Rebane, R. N. Shakhmuratov, P. Megret, and J. Odeurs, J. Lumin. 127, 22 (2007).
    [CrossRef]
  20. M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Phys. Rev. Lett. 90, 113903 (2003).
    [CrossRef] [PubMed]
  21. P. Wu and D. V. G. L. N. Rao, Phys. Rev. Lett. 95, 253601 (2005).
    [CrossRef] [PubMed]
  22. E. Baldit, K. Bencheikh, P. Monnier, J. A. Levenson, and V. Rouget, Phys. Rev. Lett. 95, 143601 (2005).
    [CrossRef] [PubMed]
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    [CrossRef]
  24. J. Bourderionnet, A. Brignon, J. P. Huignard, A. Delboulbe, and B. Loiseaux, Opt. Lett. 26, 1958 (2001).
    [CrossRef]
  25. L. Zhao, T. Wang, and S. F. Yelin, Opt. Lett. 34, 1930 (2009).
    [CrossRef] [PubMed]

2009 (4)

O. Firstenberg, M. Shuker, N. Davidson, and A. Ron, Phys. Rev. Lett. 102, 043601 (2009).
[CrossRef] [PubMed]

P. K. Vudyasetu, D. J. Starling, and J. C. Howell, Phys. Rev. Lett. 102, 123602 (2009).
[CrossRef] [PubMed]

T. L. Andrew, H. Y. Tsai, and R. Menon, Science 324, 917 (2009).
[CrossRef] [PubMed]

L. Zhao, T. Wang, and S. F. Yelin, Opt. Lett. 34, 1930 (2009).
[CrossRef] [PubMed]

2008 (4)

H. Li, V. A. Sautenkov, M. M. Kash, A. V. Sokolov, G. R. Welch, Y. V. Rostovtsev, M. S. Zubairy, and M. O. Scully, Phys. Rev. A 78, 013803 (2008).
[CrossRef]

A. V. Gorshkov, L. Jiang, M. Greiner, P. Zoller, and M. D. Lukin, Phys. Rev. Lett. 100, 093005 (2008).
[CrossRef] [PubMed]

M. Kiffner, J. Evers, and M. S. Zubairy, Phys. Rev. Lett. 100, 073602 (2008).
[CrossRef] [PubMed]

H. S. Park, S. K. Lee, and J. Y. Lee, Opt. Express 16, 21982 (2008).
[CrossRef] [PubMed]

2007 (4)

D. D. Yavuz and N. A. Proite, Phys. Rev. A 76, 041802 (2007).
[CrossRef]

J. Cheng and S. Han, Opt. Lett. 32, 1162 (2007).
[CrossRef] [PubMed]

S. W. Hell, Science 316, 1153 (2007).
[CrossRef] [PubMed]

A. Rebane, R. N. Shakhmuratov, P. Megret, and J. Odeurs, J. Lumin. 127, 22 (2007).
[CrossRef]

2006 (1)

G. S. Agarwal and K. T. Kapale, J. Phys. B 39, 3437 (2006).
[CrossRef]

2005 (4)

E. Paspalakis, A. F. Terzis, and P. L. Knight, J. Mod. Opt. 52, 1685 (2005).
[CrossRef]

M. Nilsson and S. Kroll, Opt. Commun. 247, 393 (2005).
[CrossRef]

P. Wu and D. V. G. L. N. Rao, Phys. Rev. Lett. 95, 253601 (2005).
[CrossRef] [PubMed]

E. Baldit, K. Bencheikh, P. Monnier, J. A. Levenson, and V. Rouget, Phys. Rev. Lett. 95, 143601 (2005).
[CrossRef] [PubMed]

2003 (1)

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Phys. Rev. Lett. 90, 113903 (2003).
[CrossRef] [PubMed]

2001 (1)

2000 (1)

R. Kapoor and G. S. Agarwal, Phys. Rev. A 61, 053818 (2000).
[CrossRef]

1999 (1)

A. G. Truscott, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 82, 1438 (1999).
[CrossRef]

1995 (1)

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 74, 2447 (1995).
[CrossRef] [PubMed]

1981 (1)

R. W. Boyd, M. G. Raymer, P. Narum, and D. J. Harter, Phys. Rev. A 24, 411 (1981).
[CrossRef]

1971 (1)

T. W. Hansch, M. D. Levenson, and A. L. Schawlow, Phys. Rev. Lett. 26, 946 (1971).
[CrossRef]

1879 (1)

Lord Rayleigh, Philos. Mag. 8, 261 (1879).

Agarwal, G. S.

G. S. Agarwal and K. T. Kapale, J. Phys. B 39, 3437 (2006).
[CrossRef]

R. Kapoor and G. S. Agarwal, Phys. Rev. A 61, 053818 (2000).
[CrossRef]

Andrew, T. L.

T. L. Andrew, H. Y. Tsai, and R. Menon, Science 324, 917 (2009).
[CrossRef] [PubMed]

Baldit, E.

E. Baldit, K. Bencheikh, P. Monnier, J. A. Levenson, and V. Rouget, Phys. Rev. Lett. 95, 143601 (2005).
[CrossRef] [PubMed]

Bencheikh, K.

E. Baldit, K. Bencheikh, P. Monnier, J. A. Levenson, and V. Rouget, Phys. Rev. Lett. 95, 143601 (2005).
[CrossRef] [PubMed]

Bigelow, M. S.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Phys. Rev. Lett. 90, 113903 (2003).
[CrossRef] [PubMed]

Bourderionnet, J.

Boyd, R. W.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Phys. Rev. Lett. 90, 113903 (2003).
[CrossRef] [PubMed]

R. W. Boyd, M. G. Raymer, P. Narum, and D. J. Harter, Phys. Rev. A 24, 411 (1981).
[CrossRef]

Brignon, A.

Cheng, J.

Davidson, N.

O. Firstenberg, M. Shuker, N. Davidson, and A. Ron, Phys. Rev. Lett. 102, 043601 (2009).
[CrossRef] [PubMed]

Delboulbe, A.

Evers, J.

M. Kiffner, J. Evers, and M. S. Zubairy, Phys. Rev. Lett. 100, 073602 (2008).
[CrossRef] [PubMed]

Firstenberg, O.

O. Firstenberg, M. Shuker, N. Davidson, and A. Ron, Phys. Rev. Lett. 102, 043601 (2009).
[CrossRef] [PubMed]

Friese, M. E. J.

A. G. Truscott, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 82, 1438 (1999).
[CrossRef]

Gorshkov, A. V.

A. V. Gorshkov, L. Jiang, M. Greiner, P. Zoller, and M. D. Lukin, Phys. Rev. Lett. 100, 093005 (2008).
[CrossRef] [PubMed]

Greiner, M.

A. V. Gorshkov, L. Jiang, M. Greiner, P. Zoller, and M. D. Lukin, Phys. Rev. Lett. 100, 093005 (2008).
[CrossRef] [PubMed]

Han, S.

Hansch, T. W.

T. W. Hansch, M. D. Levenson, and A. L. Schawlow, Phys. Rev. Lett. 26, 946 (1971).
[CrossRef]

Harris, S. E.

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 74, 2447 (1995).
[CrossRef] [PubMed]

Harter, D. J.

R. W. Boyd, M. G. Raymer, P. Narum, and D. J. Harter, Phys. Rev. A 24, 411 (1981).
[CrossRef]

Heckenberg, N. R.

A. G. Truscott, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 82, 1438 (1999).
[CrossRef]

Hell, S. W.

S. W. Hell, Science 316, 1153 (2007).
[CrossRef] [PubMed]

Howell, J. C.

P. K. Vudyasetu, D. J. Starling, and J. C. Howell, Phys. Rev. Lett. 102, 123602 (2009).
[CrossRef] [PubMed]

Huignard, J. P.

Jain, M.

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 74, 2447 (1995).
[CrossRef] [PubMed]

Jiang, L.

A. V. Gorshkov, L. Jiang, M. Greiner, P. Zoller, and M. D. Lukin, Phys. Rev. Lett. 100, 093005 (2008).
[CrossRef] [PubMed]

Kapale, K. T.

G. S. Agarwal and K. T. Kapale, J. Phys. B 39, 3437 (2006).
[CrossRef]

Kapoor, R.

R. Kapoor and G. S. Agarwal, Phys. Rev. A 61, 053818 (2000).
[CrossRef]

Kasapi, A.

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 74, 2447 (1995).
[CrossRef] [PubMed]

Kash, M. M.

H. Li, V. A. Sautenkov, M. M. Kash, A. V. Sokolov, G. R. Welch, Y. V. Rostovtsev, M. S. Zubairy, and M. O. Scully, Phys. Rev. A 78, 013803 (2008).
[CrossRef]

Kiffner, M.

M. Kiffner, J. Evers, and M. S. Zubairy, Phys. Rev. Lett. 100, 073602 (2008).
[CrossRef] [PubMed]

Knight, P. L.

E. Paspalakis, A. F. Terzis, and P. L. Knight, J. Mod. Opt. 52, 1685 (2005).
[CrossRef]

Kroll, S.

M. Nilsson and S. Kroll, Opt. Commun. 247, 393 (2005).
[CrossRef]

Lee, J. Y.

Lee, S. K.

Lepeshkin, N. N.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Phys. Rev. Lett. 90, 113903 (2003).
[CrossRef] [PubMed]

Levenson, J. A.

E. Baldit, K. Bencheikh, P. Monnier, J. A. Levenson, and V. Rouget, Phys. Rev. Lett. 95, 143601 (2005).
[CrossRef] [PubMed]

Levenson, M. D.

T. W. Hansch, M. D. Levenson, and A. L. Schawlow, Phys. Rev. Lett. 26, 946 (1971).
[CrossRef]

Li, H.

H. Li, V. A. Sautenkov, M. M. Kash, A. V. Sokolov, G. R. Welch, Y. V. Rostovtsev, M. S. Zubairy, and M. O. Scully, Phys. Rev. A 78, 013803 (2008).
[CrossRef]

Loiseaux, B.

Lukin, M. D.

A. V. Gorshkov, L. Jiang, M. Greiner, P. Zoller, and M. D. Lukin, Phys. Rev. Lett. 100, 093005 (2008).
[CrossRef] [PubMed]

Megret, P.

A. Rebane, R. N. Shakhmuratov, P. Megret, and J. Odeurs, J. Lumin. 127, 22 (2007).
[CrossRef]

Menon, R.

T. L. Andrew, H. Y. Tsai, and R. Menon, Science 324, 917 (2009).
[CrossRef] [PubMed]

Monnier, P.

E. Baldit, K. Bencheikh, P. Monnier, J. A. Levenson, and V. Rouget, Phys. Rev. Lett. 95, 143601 (2005).
[CrossRef] [PubMed]

Narum, P.

R. W. Boyd, M. G. Raymer, P. Narum, and D. J. Harter, Phys. Rev. A 24, 411 (1981).
[CrossRef]

Nilsson, M.

M. Nilsson and S. Kroll, Opt. Commun. 247, 393 (2005).
[CrossRef]

Odeurs, J.

A. Rebane, R. N. Shakhmuratov, P. Megret, and J. Odeurs, J. Lumin. 127, 22 (2007).
[CrossRef]

Park, H. S.

Paspalakis, E.

E. Paspalakis, A. F. Terzis, and P. L. Knight, J. Mod. Opt. 52, 1685 (2005).
[CrossRef]

Proite, N. A.

D. D. Yavuz and N. A. Proite, Phys. Rev. A 76, 041802 (2007).
[CrossRef]

Rao, D. V. G. L. N.

P. Wu and D. V. G. L. N. Rao, Phys. Rev. Lett. 95, 253601 (2005).
[CrossRef] [PubMed]

Rayleigh, Lord

Lord Rayleigh, Philos. Mag. 8, 261 (1879).

Raymer, M. G.

R. W. Boyd, M. G. Raymer, P. Narum, and D. J. Harter, Phys. Rev. A 24, 411 (1981).
[CrossRef]

Rebane, A.

A. Rebane, R. N. Shakhmuratov, P. Megret, and J. Odeurs, J. Lumin. 127, 22 (2007).
[CrossRef]

Ron, A.

O. Firstenberg, M. Shuker, N. Davidson, and A. Ron, Phys. Rev. Lett. 102, 043601 (2009).
[CrossRef] [PubMed]

Rostovtsev, Y. V.

H. Li, V. A. Sautenkov, M. M. Kash, A. V. Sokolov, G. R. Welch, Y. V. Rostovtsev, M. S. Zubairy, and M. O. Scully, Phys. Rev. A 78, 013803 (2008).
[CrossRef]

Rouget, V.

E. Baldit, K. Bencheikh, P. Monnier, J. A. Levenson, and V. Rouget, Phys. Rev. Lett. 95, 143601 (2005).
[CrossRef] [PubMed]

Rubinsztein-Dunlop, H.

A. G. Truscott, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 82, 1438 (1999).
[CrossRef]

Sautenkov, V. A.

H. Li, V. A. Sautenkov, M. M. Kash, A. V. Sokolov, G. R. Welch, Y. V. Rostovtsev, M. S. Zubairy, and M. O. Scully, Phys. Rev. A 78, 013803 (2008).
[CrossRef]

Schawlow, A. L.

T. W. Hansch, M. D. Levenson, and A. L. Schawlow, Phys. Rev. Lett. 26, 946 (1971).
[CrossRef]

Scully, M. O.

H. Li, V. A. Sautenkov, M. M. Kash, A. V. Sokolov, G. R. Welch, Y. V. Rostovtsev, M. S. Zubairy, and M. O. Scully, Phys. Rev. A 78, 013803 (2008).
[CrossRef]

Shakhmuratov, R. N.

A. Rebane, R. N. Shakhmuratov, P. Megret, and J. Odeurs, J. Lumin. 127, 22 (2007).
[CrossRef]

Shuker, M.

O. Firstenberg, M. Shuker, N. Davidson, and A. Ron, Phys. Rev. Lett. 102, 043601 (2009).
[CrossRef] [PubMed]

Sokolov, A. V.

H. Li, V. A. Sautenkov, M. M. Kash, A. V. Sokolov, G. R. Welch, Y. V. Rostovtsev, M. S. Zubairy, and M. O. Scully, Phys. Rev. A 78, 013803 (2008).
[CrossRef]

Starling, D. J.

P. K. Vudyasetu, D. J. Starling, and J. C. Howell, Phys. Rev. Lett. 102, 123602 (2009).
[CrossRef] [PubMed]

Terzis, A. F.

E. Paspalakis, A. F. Terzis, and P. L. Knight, J. Mod. Opt. 52, 1685 (2005).
[CrossRef]

Truscott, A. G.

A. G. Truscott, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 82, 1438 (1999).
[CrossRef]

Tsai, H. Y.

T. L. Andrew, H. Y. Tsai, and R. Menon, Science 324, 917 (2009).
[CrossRef] [PubMed]

Vudyasetu, P. K.

P. K. Vudyasetu, D. J. Starling, and J. C. Howell, Phys. Rev. Lett. 102, 123602 (2009).
[CrossRef] [PubMed]

Wang, T.

Welch, G. R.

H. Li, V. A. Sautenkov, M. M. Kash, A. V. Sokolov, G. R. Welch, Y. V. Rostovtsev, M. S. Zubairy, and M. O. Scully, Phys. Rev. A 78, 013803 (2008).
[CrossRef]

Wu, P.

P. Wu and D. V. G. L. N. Rao, Phys. Rev. Lett. 95, 253601 (2005).
[CrossRef] [PubMed]

Yavuz, D. D.

D. D. Yavuz and N. A. Proite, Phys. Rev. A 76, 041802 (2007).
[CrossRef]

Yelin, S. F.

Yin, G. Y.

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 74, 2447 (1995).
[CrossRef] [PubMed]

Zhao, L.

Zoller, P.

A. V. Gorshkov, L. Jiang, M. Greiner, P. Zoller, and M. D. Lukin, Phys. Rev. Lett. 100, 093005 (2008).
[CrossRef] [PubMed]

Zubairy, M. S.

M. Kiffner, J. Evers, and M. S. Zubairy, Phys. Rev. Lett. 100, 073602 (2008).
[CrossRef] [PubMed]

H. Li, V. A. Sautenkov, M. M. Kash, A. V. Sokolov, G. R. Welch, Y. V. Rostovtsev, M. S. Zubairy, and M. O. Scully, Phys. Rev. A 78, 013803 (2008).
[CrossRef]

J. Lumin. (1)

A. Rebane, R. N. Shakhmuratov, P. Megret, and J. Odeurs, J. Lumin. 127, 22 (2007).
[CrossRef]

J. Mod. Opt. (1)

E. Paspalakis, A. F. Terzis, and P. L. Knight, J. Mod. Opt. 52, 1685 (2005).
[CrossRef]

J. Phys. B (1)

G. S. Agarwal and K. T. Kapale, J. Phys. B 39, 3437 (2006).
[CrossRef]

Opt. Commun. (1)

M. Nilsson and S. Kroll, Opt. Commun. 247, 393 (2005).
[CrossRef]

Opt. Express (1)

Opt. Lett. (3)

Philos. Mag. (1)

Lord Rayleigh, Philos. Mag. 8, 261 (1879).

Phys. Rev. A (4)

H. Li, V. A. Sautenkov, M. M. Kash, A. V. Sokolov, G. R. Welch, Y. V. Rostovtsev, M. S. Zubairy, and M. O. Scully, Phys. Rev. A 78, 013803 (2008).
[CrossRef]

R. Kapoor and G. S. Agarwal, Phys. Rev. A 61, 053818 (2000).
[CrossRef]

D. D. Yavuz and N. A. Proite, Phys. Rev. A 76, 041802 (2007).
[CrossRef]

R. W. Boyd, M. G. Raymer, P. Narum, and D. J. Harter, Phys. Rev. A 24, 411 (1981).
[CrossRef]

Phys. Rev. Lett. (10)

T. W. Hansch, M. D. Levenson, and A. L. Schawlow, Phys. Rev. Lett. 26, 946 (1971).
[CrossRef]

A. V. Gorshkov, L. Jiang, M. Greiner, P. Zoller, and M. D. Lukin, Phys. Rev. Lett. 100, 093005 (2008).
[CrossRef] [PubMed]

M. Kiffner, J. Evers, and M. S. Zubairy, Phys. Rev. Lett. 100, 073602 (2008).
[CrossRef] [PubMed]

P. K. Vudyasetu, D. J. Starling, and J. C. Howell, Phys. Rev. Lett. 102, 123602 (2009).
[CrossRef] [PubMed]

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 74, 2447 (1995).
[CrossRef] [PubMed]

O. Firstenberg, M. Shuker, N. Davidson, and A. Ron, Phys. Rev. Lett. 102, 043601 (2009).
[CrossRef] [PubMed]

A. G. Truscott, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 82, 1438 (1999).
[CrossRef]

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Phys. Rev. Lett. 90, 113903 (2003).
[CrossRef] [PubMed]

P. Wu and D. V. G. L. N. Rao, Phys. Rev. Lett. 95, 253601 (2005).
[CrossRef] [PubMed]

E. Baldit, K. Bencheikh, P. Monnier, J. A. Levenson, and V. Rouget, Phys. Rev. Lett. 95, 143601 (2005).
[CrossRef] [PubMed]

Science (2)

S. W. Hell, Science 316, 1153 (2007).
[CrossRef] [PubMed]

T. L. Andrew, H. Y. Tsai, and R. Menon, Science 324, 917 (2009).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

(a) Schematic setup and (b) the medium of interest. The pump and probe excite the same transition.

Fig. 2
Fig. 2

Real and imaginary parts of the susceptibility χ are plotted against the beat frequency δ in the presence of a cw pump field. We choose the parameters for numerical calculations as given by N = 10 12  atoms cm 3 , T 2 T 1 = 0.02 , and λ = 795 nm . We note that the solid-state systems have a very wide range of T 2 T 1 values. The value that we have chosen is for illustrating the basic idea of how such systems can be used for subdiffraction propagation of images.

Fig. 3
Fig. 3

Normalized intensity of the transmitted probe beam is plotted against r. The output is taken at exit plane of the 3 - cm -long medium. Variation of the unnormalized output intensity of the probe beam is shown in the inset. The initial width and amplitude of the resonant pump and probe fields are set at w 0 = w 1 = 40 μ m and G 2 0 T 2 = 100 × g 0 T 2 = 0.15 . All other parameters are the same as in Fig. 2.

Fig. 4
Fig. 4

Transverse intensity profile of probe beam plotted against spatial coordinate r for two values of δ T 2 at propagation length z = 6 . All other parameters are the same as in Fig. 3 except that the LGP width is 150 μ m .

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

χ = N | d | 2 T 2 1 + Δ 2 T 2 2 ( 1 + Δ 2 T 2 2 + S ) ( Δ T 2 + δ T 2 + i ) [ 1 S ( Δ T 2 i ) 1 ( δ T 2 + 2 i ) ( δ T 2 Δ T 2 + i ) 2 ( δ T 1 + i ) ( δ T 2 + Δ T 2 + i ) ( δ T 2 Δ T 2 + i ) S ( δ T 2 + i ) ] ,
g z = i c 2 ω ( 2 x 2 + 2 y 2 ) g + 2 i π k χ g ,

Metrics