Abstract

Anderson localization (AL) of light is investigated numerically in a disordered parity-time (PT)-symmetric potential, in the form of an optical lattice. The lattice is recorded in a nonlinear medium with Kerr nonlinearity. We demonstrate enhancement of light localization in a PT-symmetric lattice, as compared to the localization in the corresponding real lattice. The effect of strength of the gain-loss component in the PT lattice on various regimes of AL is also discussed. It is found that the localization exists and is further enhanced above the threshold strength of the imaginary part of the potential. The influence of nonlinearity and disorder level on the transverse localization of light in such a complex-valued potential is addressed.

© 2012 Optical Society of America

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  1. C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998).
    [CrossRef]
  2. C. M. Bender, D. C. Brody, and H. F. Jones, Phys. Rev. Lett. 89270401 (2002).
    [CrossRef]
  3. C. M. Bender, Rep. Prog. Phys. 70, 947 (2007).
    [CrossRef]
  4. N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1996).
    [CrossRef]
  5. O. Bendix, R. Fleishmann, T. Kottos, and B. Shapiro, Phys. Rev. Lett. 103, 030402 (2009).
    [CrossRef]
  6. R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, Opt. Lett. 32, 2632 (2007).
    [CrossRef]
  7. Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. Lett. 100, 030402 (2008).
    [CrossRef]
  8. K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 100, 103904 (2008).
    [CrossRef]
  9. A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009).
    [CrossRef]
  10. C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nat. Phys. 6, 192 (2010).
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    [CrossRef]
  12. P. W. Anderson, Phys. Rev. 109, 1492 (1958).
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  13. P. Sheng, Scattering and Localization of Classical Waves in Random Media (World Scientific, 1990).
  14. A. Lagendijk, B. Tiggelen, and D. S. Wiersma, Phys. Today 62, 24 (2009).
    [CrossRef]
  15. S. S. Abdullaev and F. Kh. Abdullaev, Sov. J. Radiofizika 23, 766 (1980).
  16. T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, Phys. Rev. Lett. 93, 053901 (2004).
    [CrossRef]
  17. Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 100, 013906 (2008).
    [CrossRef]
  18. T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
    [CrossRef]
  19. D. M. Jović and M. R. Belić, Phys. Rev. A 81, 023813 (2010).
    [CrossRef]
  20. D. M. Jović, Yu. S. Kivshar, C. Denz, and M. R. Belić, Phys. Rev. A 83, 033813 (2011).
    [CrossRef]
  21. D. M. Jović, M. R. Belić, and C. Denz, Phys. Rev. A 84, 043811 (2011).
    [CrossRef]
  22. M. Belić, M. Petrović, D. Jović, A. Strinić, D. Arsenović, K. Motzek, F. Kaiser, Ph. Jander, C. Denz, M. Tlidi, and P. Mandel, Opt. Express 12, 708 (2004).
    [CrossRef]

2011 (2)

D. M. Jović, Yu. S. Kivshar, C. Denz, and M. R. Belić, Phys. Rev. A 83, 033813 (2011).
[CrossRef]

D. M. Jović, M. R. Belić, and C. Denz, Phys. Rev. A 84, 043811 (2011).
[CrossRef]

2010 (2)

D. M. Jović and M. R. Belić, Phys. Rev. A 81, 023813 (2010).
[CrossRef]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nat. Phys. 6, 192 (2010).
[CrossRef]

2009 (3)

A. Lagendijk, B. Tiggelen, and D. S. Wiersma, Phys. Today 62, 24 (2009).
[CrossRef]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009).
[CrossRef]

O. Bendix, R. Fleishmann, T. Kottos, and B. Shapiro, Phys. Rev. Lett. 103, 030402 (2009).
[CrossRef]

2008 (4)

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. Lett. 100, 030402 (2008).
[CrossRef]

K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 100, 103904 (2008).
[CrossRef]

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 100, 013906 (2008).
[CrossRef]

S. Klaiman, U. Günther, and N. Moiseyev, Phys. Rev. Lett. 101, 080402 (2008).
[CrossRef]

2007 (3)

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef]

R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, Opt. Lett. 32, 2632 (2007).
[CrossRef]

C. M. Bender, Rep. Prog. Phys. 70, 947 (2007).
[CrossRef]

2004 (2)

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, Phys. Rev. Lett. 93, 053901 (2004).
[CrossRef]

M. Belić, M. Petrović, D. Jović, A. Strinić, D. Arsenović, K. Motzek, F. Kaiser, Ph. Jander, C. Denz, M. Tlidi, and P. Mandel, Opt. Express 12, 708 (2004).
[CrossRef]

2002 (1)

C. M. Bender, D. C. Brody, and H. F. Jones, Phys. Rev. Lett. 89270401 (2002).
[CrossRef]

1998 (1)

C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998).
[CrossRef]

1996 (1)

N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1996).
[CrossRef]

1980 (1)

S. S. Abdullaev and F. Kh. Abdullaev, Sov. J. Radiofizika 23, 766 (1980).

1958 (1)

P. W. Anderson, Phys. Rev. 109, 1492 (1958).
[CrossRef]

Abdullaev, F. Kh.

S. S. Abdullaev and F. Kh. Abdullaev, Sov. J. Radiofizika 23, 766 (1980).

Abdullaev, S. S.

S. S. Abdullaev and F. Kh. Abdullaev, Sov. J. Radiofizika 23, 766 (1980).

Aimez, V.

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009).
[CrossRef]

Anderson, P. W.

P. W. Anderson, Phys. Rev. 109, 1492 (1958).
[CrossRef]

Arsenovic, D.

Avidan, A.

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 100, 013906 (2008).
[CrossRef]

Bartal, G.

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef]

Bartelt, H.

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, Phys. Rev. Lett. 93, 053901 (2004).
[CrossRef]

Belic, M.

Belic, M. R.

D. M. Jović, M. R. Belić, and C. Denz, Phys. Rev. A 84, 043811 (2011).
[CrossRef]

D. M. Jović, Yu. S. Kivshar, C. Denz, and M. R. Belić, Phys. Rev. A 83, 033813 (2011).
[CrossRef]

D. M. Jović and M. R. Belić, Phys. Rev. A 81, 023813 (2010).
[CrossRef]

Bender, C. M.

C. M. Bender, Rep. Prog. Phys. 70, 947 (2007).
[CrossRef]

C. M. Bender, D. C. Brody, and H. F. Jones, Phys. Rev. Lett. 89270401 (2002).
[CrossRef]

C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998).
[CrossRef]

Bendix, O.

O. Bendix, R. Fleishmann, T. Kottos, and B. Shapiro, Phys. Rev. Lett. 103, 030402 (2009).
[CrossRef]

Boettcher, S.

C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998).
[CrossRef]

Brody, D. C.

C. M. Bender, D. C. Brody, and H. F. Jones, Phys. Rev. Lett. 89270401 (2002).
[CrossRef]

Christodoulides, D. N.

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nat. Phys. 6, 192 (2010).
[CrossRef]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009).
[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. Lett. 100, 030402 (2008).
[CrossRef]

K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 100, 103904 (2008).
[CrossRef]

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 100, 013906 (2008).
[CrossRef]

R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, Opt. Lett. 32, 2632 (2007).
[CrossRef]

Denz, C.

D. M. Jović, M. R. Belić, and C. Denz, Phys. Rev. A 84, 043811 (2011).
[CrossRef]

D. M. Jović, Yu. S. Kivshar, C. Denz, and M. R. Belić, Phys. Rev. A 83, 033813 (2011).
[CrossRef]

M. Belić, M. Petrović, D. Jović, A. Strinić, D. Arsenović, K. Motzek, F. Kaiser, Ph. Jander, C. Denz, M. Tlidi, and P. Mandel, Opt. Express 12, 708 (2004).
[CrossRef]

Duchesne, D.

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009).
[CrossRef]

El-Ganainy, R.

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nat. Phys. 6, 192 (2010).
[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. Lett. 100, 030402 (2008).
[CrossRef]

K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 100, 103904 (2008).
[CrossRef]

R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, Opt. Lett. 32, 2632 (2007).
[CrossRef]

Fishman, S.

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef]

Fleishmann, R.

O. Bendix, R. Fleishmann, T. Kottos, and B. Shapiro, Phys. Rev. Lett. 103, 030402 (2009).
[CrossRef]

Günther, U.

S. Klaiman, U. Günther, and N. Moiseyev, Phys. Rev. Lett. 101, 080402 (2008).
[CrossRef]

Guo, A.

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009).
[CrossRef]

Hatano, N.

N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1996).
[CrossRef]

Jander, Ph.

Jones, H. F.

C. M. Bender, D. C. Brody, and H. F. Jones, Phys. Rev. Lett. 89270401 (2002).
[CrossRef]

Jovic, D.

Jovic, D. M.

D. M. Jović, Yu. S. Kivshar, C. Denz, and M. R. Belić, Phys. Rev. A 83, 033813 (2011).
[CrossRef]

D. M. Jović, M. R. Belić, and C. Denz, Phys. Rev. A 84, 043811 (2011).
[CrossRef]

D. M. Jović and M. R. Belić, Phys. Rev. A 81, 023813 (2010).
[CrossRef]

Kaiser, F.

Kip, D.

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nat. Phys. 6, 192 (2010).
[CrossRef]

Kivshar, Yu. S.

D. M. Jović, Yu. S. Kivshar, C. Denz, and M. R. Belić, Phys. Rev. A 83, 033813 (2011).
[CrossRef]

Klaiman, S.

S. Klaiman, U. Günther, and N. Moiseyev, Phys. Rev. Lett. 101, 080402 (2008).
[CrossRef]

Kobelke, J.

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, Phys. Rev. Lett. 93, 053901 (2004).
[CrossRef]

Kottos, T.

O. Bendix, R. Fleishmann, T. Kottos, and B. Shapiro, Phys. Rev. Lett. 103, 030402 (2009).
[CrossRef]

Lagendijk, A.

A. Lagendijk, B. Tiggelen, and D. S. Wiersma, Phys. Today 62, 24 (2009).
[CrossRef]

Lahini, Y.

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 100, 013906 (2008).
[CrossRef]

Lederer, F.

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, Phys. Rev. Lett. 93, 053901 (2004).
[CrossRef]

Makris, K. G.

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nat. Phys. 6, 192 (2010).
[CrossRef]

K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 100, 103904 (2008).
[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. Lett. 100, 030402 (2008).
[CrossRef]

R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, Opt. Lett. 32, 2632 (2007).
[CrossRef]

Mandel, P.

Moiseyev, N.

S. Klaiman, U. Günther, and N. Moiseyev, Phys. Rev. Lett. 101, 080402 (2008).
[CrossRef]

Morandotti, R.

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009).
[CrossRef]

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 100, 013906 (2008).
[CrossRef]

Motzek, K.

Musslimani, Z. H.

K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 100, 103904 (2008).
[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. Lett. 100, 030402 (2008).
[CrossRef]

R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, Opt. Lett. 32, 2632 (2007).
[CrossRef]

Nelson, D. R.

N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1996).
[CrossRef]

Nolte, S.

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, Phys. Rev. Lett. 93, 053901 (2004).
[CrossRef]

Pertsch, T.

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, Phys. Rev. Lett. 93, 053901 (2004).
[CrossRef]

Peschel, U.

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, Phys. Rev. Lett. 93, 053901 (2004).
[CrossRef]

Petrovic, M.

Pozzi, F.

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 100, 013906 (2008).
[CrossRef]

Rüter, C. E.

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nat. Phys. 6, 192 (2010).
[CrossRef]

Salamo, G. J.

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009).
[CrossRef]

Schuster, K.

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, Phys. Rev. Lett. 93, 053901 (2004).
[CrossRef]

Schwartz, T.

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef]

Segev, M.

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nat. Phys. 6, 192 (2010).
[CrossRef]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef]

Shapiro, B.

O. Bendix, R. Fleishmann, T. Kottos, and B. Shapiro, Phys. Rev. Lett. 103, 030402 (2009).
[CrossRef]

Sheng, P.

P. Sheng, Scattering and Localization of Classical Waves in Random Media (World Scientific, 1990).

Silberberg, Y.

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 100, 013906 (2008).
[CrossRef]

Siviloglou, G. A.

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009).
[CrossRef]

Sorel, M.

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 100, 013906 (2008).
[CrossRef]

Strinic, A.

Tiggelen, B.

A. Lagendijk, B. Tiggelen, and D. S. Wiersma, Phys. Today 62, 24 (2009).
[CrossRef]

Tlidi, M.

Tünnermann, A.

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, Phys. Rev. Lett. 93, 053901 (2004).
[CrossRef]

Volatier-Ravat, M.

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009).
[CrossRef]

Wiersma, D. S.

A. Lagendijk, B. Tiggelen, and D. S. Wiersma, Phys. Today 62, 24 (2009).
[CrossRef]

Nat. Phys. (1)

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nat. Phys. 6, 192 (2010).
[CrossRef]

Nature (1)

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. (1)

P. W. Anderson, Phys. Rev. 109, 1492 (1958).
[CrossRef]

Phys. Rev. A (3)

D. M. Jović and M. R. Belić, Phys. Rev. A 81, 023813 (2010).
[CrossRef]

D. M. Jović, Yu. S. Kivshar, C. Denz, and M. R. Belić, Phys. Rev. A 83, 033813 (2011).
[CrossRef]

D. M. Jović, M. R. Belić, and C. Denz, Phys. Rev. A 84, 043811 (2011).
[CrossRef]

Phys. Rev. Lett. (10)

S. Klaiman, U. Günther, and N. Moiseyev, Phys. Rev. Lett. 101, 080402 (2008).
[CrossRef]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, Phys. Rev. Lett. 93, 053901 (2004).
[CrossRef]

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 100, 013906 (2008).
[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. Lett. 100, 030402 (2008).
[CrossRef]

K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 100, 103904 (2008).
[CrossRef]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009).
[CrossRef]

C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998).
[CrossRef]

C. M. Bender, D. C. Brody, and H. F. Jones, Phys. Rev. Lett. 89270401 (2002).
[CrossRef]

N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1996).
[CrossRef]

O. Bendix, R. Fleishmann, T. Kottos, and B. Shapiro, Phys. Rev. Lett. 103, 030402 (2009).
[CrossRef]

Phys. Today (1)

A. Lagendijk, B. Tiggelen, and D. S. Wiersma, Phys. Today 62, 24 (2009).
[CrossRef]

Rep. Prog. Phys. (1)

C. M. Bender, Rep. Prog. Phys. 70, 947 (2007).
[CrossRef]

Sov. J. Radiofizika (1)

S. S. Abdullaev and F. Kh. Abdullaev, Sov. J. Radiofizika 23, 766 (1980).

Other (1)

P. Sheng, Scattering and Localization of Classical Waves in Random Media (World Scientific, 1990).

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Figures (3)

Fig. 1.
Fig. 1.

Amplitude distributions of (a) real and (b) imaginary component of the periodic PT-symmetric potential V(x,y). (c)–(d) The same potential with disorder.

Fig. 2.
Fig. 2.

(a) Comparison between localization in real and PT lattices in the linear regime: effective beam widths versus the propagation distance, for different disorder levels (5%, 20%, 50%). (b) Influence of gain and loss on localization: effective beam width versus the disorder level, in the linear regime, for different gain-loss strengths. Panels to the right depict actual intensity distributions. Physical parameters are the crystal length L=20mm, V0=1, W0=0.45, input beam intensity |E0|2=0.5, input beam FWHM=15μm, and lattice constant 15 μm.

Fig. 3.
Fig. 3.

Transverse localization of light in PT-symmetric lattice. (a) Effective beam widths at the lattice output versus the disorder level for the defocusing, linear, and focusing media. The points are ensemble averages and error bars depict the spread coming from statistics. (b) Examples of localized modes: output intensity distributions of the probe beam with no disorder, and for disorder levels 20% and 50%. Parameters are as in Fig. 2.

Equations (1)

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iEz=ΔEγ|E|2EVE,

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