Abstract

Reflectionless transmission of light waves with unitary transmittance is shown to occur in a certain class of gain-grating structures and phase-conjugation mirrors in the unstable (above-threshold) regime. Such structures are synthesized by means of the Darboux method developed in the context of supersymmetric relativistic quantum mechanics. Transparency is associated to superluminal pulse transmission.

© 2010 Optical Society of America

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  1. P. Yeh, Optical Waves in Layered Media (Wiley, 1988).
  2. H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).
  3. I. Kay and H. E. Moses, J. Appl. Phys. 27, 1503 (1956).
    [CrossRef]
  4. A. A. Sukhorukov, Opt. Lett. 35, 989 (2010).
    [CrossRef]
  5. H. Kogelnik and C. V. Shank, J. Appl. Phys. 43, 2327 (1972).
    [CrossRef]
  6. J. Skaar, L. Wang, and T. Erdogan, IEEE J. Quant. Electron. 37, 165 (2001).
    [CrossRef]
  7. M. J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, Stud. Appl. Math. 53, 249 (1974).
  8. Y. Luo, Y. Nakano, K. Tada, T. Inoue, H. Hosomatsu, and H. Iwaoka, Appl. Phys. Lett. 56, 1620 (1990).
    [CrossRef]
  9. R.A.Fisher, ed., Optical Phase Conjugation (Academic, 1983).
  10. N. Debergh, A. A. Pecheritsin, B. F. Samsonov, and B. Van den Bossche, J. Phys. A 35, 3279 (2002).
    [CrossRef]
  11. S. Longhi, Phys. Rev. Lett. 105, 013903 (2010).
    [CrossRef]
  12. M. Blaauboer, A. G. Kofman, A. E. Kozhekin, G. Kurizki, D. Lenstra, and A. Lodder, Phys. Rev. A 57, 4905 (1998).
    [CrossRef]
  13. According to the inverse scattering theory, the potential corresponds to a radiationless (fundamental soliton) initial condition q(x,0) of the self-focusing nonlinear Schrödinger equation ∂τq=i∂x2q+2i|q|2q (see ).

2010 (2)

S. Longhi, Phys. Rev. Lett. 105, 013903 (2010).
[CrossRef]

A. A. Sukhorukov, Opt. Lett. 35, 989 (2010).
[CrossRef]

2002 (1)

N. Debergh, A. A. Pecheritsin, B. F. Samsonov, and B. Van den Bossche, J. Phys. A 35, 3279 (2002).
[CrossRef]

2001 (1)

J. Skaar, L. Wang, and T. Erdogan, IEEE J. Quant. Electron. 37, 165 (2001).
[CrossRef]

1998 (1)

M. Blaauboer, A. G. Kofman, A. E. Kozhekin, G. Kurizki, D. Lenstra, and A. Lodder, Phys. Rev. A 57, 4905 (1998).
[CrossRef]

1990 (1)

Y. Luo, Y. Nakano, K. Tada, T. Inoue, H. Hosomatsu, and H. Iwaoka, Appl. Phys. Lett. 56, 1620 (1990).
[CrossRef]

1974 (1)

M. J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, Stud. Appl. Math. 53, 249 (1974).

1972 (1)

H. Kogelnik and C. V. Shank, J. Appl. Phys. 43, 2327 (1972).
[CrossRef]

1956 (1)

I. Kay and H. E. Moses, J. Appl. Phys. 27, 1503 (1956).
[CrossRef]

Ablowitz, M. J.

M. J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, Stud. Appl. Math. 53, 249 (1974).

Blaauboer, M.

M. Blaauboer, A. G. Kofman, A. E. Kozhekin, G. Kurizki, D. Lenstra, and A. Lodder, Phys. Rev. A 57, 4905 (1998).
[CrossRef]

Debergh, N.

N. Debergh, A. A. Pecheritsin, B. F. Samsonov, and B. Van den Bossche, J. Phys. A 35, 3279 (2002).
[CrossRef]

Erdogan, T.

J. Skaar, L. Wang, and T. Erdogan, IEEE J. Quant. Electron. 37, 165 (2001).
[CrossRef]

Haus, H. A.

H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).

Hosomatsu, H.

Y. Luo, Y. Nakano, K. Tada, T. Inoue, H. Hosomatsu, and H. Iwaoka, Appl. Phys. Lett. 56, 1620 (1990).
[CrossRef]

Inoue, T.

Y. Luo, Y. Nakano, K. Tada, T. Inoue, H. Hosomatsu, and H. Iwaoka, Appl. Phys. Lett. 56, 1620 (1990).
[CrossRef]

Iwaoka, H.

Y. Luo, Y. Nakano, K. Tada, T. Inoue, H. Hosomatsu, and H. Iwaoka, Appl. Phys. Lett. 56, 1620 (1990).
[CrossRef]

Kaup, D. J.

M. J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, Stud. Appl. Math. 53, 249 (1974).

Kay, I.

I. Kay and H. E. Moses, J. Appl. Phys. 27, 1503 (1956).
[CrossRef]

Kofman, A. G.

M. Blaauboer, A. G. Kofman, A. E. Kozhekin, G. Kurizki, D. Lenstra, and A. Lodder, Phys. Rev. A 57, 4905 (1998).
[CrossRef]

Kogelnik, H.

H. Kogelnik and C. V. Shank, J. Appl. Phys. 43, 2327 (1972).
[CrossRef]

Kozhekin, A. E.

M. Blaauboer, A. G. Kofman, A. E. Kozhekin, G. Kurizki, D. Lenstra, and A. Lodder, Phys. Rev. A 57, 4905 (1998).
[CrossRef]

Kurizki, G.

M. Blaauboer, A. G. Kofman, A. E. Kozhekin, G. Kurizki, D. Lenstra, and A. Lodder, Phys. Rev. A 57, 4905 (1998).
[CrossRef]

Lenstra, D.

M. Blaauboer, A. G. Kofman, A. E. Kozhekin, G. Kurizki, D. Lenstra, and A. Lodder, Phys. Rev. A 57, 4905 (1998).
[CrossRef]

Lodder, A.

M. Blaauboer, A. G. Kofman, A. E. Kozhekin, G. Kurizki, D. Lenstra, and A. Lodder, Phys. Rev. A 57, 4905 (1998).
[CrossRef]

Longhi, S.

S. Longhi, Phys. Rev. Lett. 105, 013903 (2010).
[CrossRef]

Luo, Y.

Y. Luo, Y. Nakano, K. Tada, T. Inoue, H. Hosomatsu, and H. Iwaoka, Appl. Phys. Lett. 56, 1620 (1990).
[CrossRef]

Moses, H. E.

I. Kay and H. E. Moses, J. Appl. Phys. 27, 1503 (1956).
[CrossRef]

Nakano, Y.

Y. Luo, Y. Nakano, K. Tada, T. Inoue, H. Hosomatsu, and H. Iwaoka, Appl. Phys. Lett. 56, 1620 (1990).
[CrossRef]

Newell, A. C.

M. J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, Stud. Appl. Math. 53, 249 (1974).

Pecheritsin, A. A.

N. Debergh, A. A. Pecheritsin, B. F. Samsonov, and B. Van den Bossche, J. Phys. A 35, 3279 (2002).
[CrossRef]

Samsonov, B. F.

N. Debergh, A. A. Pecheritsin, B. F. Samsonov, and B. Van den Bossche, J. Phys. A 35, 3279 (2002).
[CrossRef]

Segur, H.

M. J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, Stud. Appl. Math. 53, 249 (1974).

Shank, C. V.

H. Kogelnik and C. V. Shank, J. Appl. Phys. 43, 2327 (1972).
[CrossRef]

Skaar, J.

J. Skaar, L. Wang, and T. Erdogan, IEEE J. Quant. Electron. 37, 165 (2001).
[CrossRef]

Sukhorukov, A. A.

Tada, K.

Y. Luo, Y. Nakano, K. Tada, T. Inoue, H. Hosomatsu, and H. Iwaoka, Appl. Phys. Lett. 56, 1620 (1990).
[CrossRef]

Van den Bossche, B.

N. Debergh, A. A. Pecheritsin, B. F. Samsonov, and B. Van den Bossche, J. Phys. A 35, 3279 (2002).
[CrossRef]

Wang, L.

J. Skaar, L. Wang, and T. Erdogan, IEEE J. Quant. Electron. 37, 165 (2001).
[CrossRef]

Yeh, P.

P. Yeh, Optical Waves in Layered Media (Wiley, 1988).

Appl. Phys. Lett. (1)

Y. Luo, Y. Nakano, K. Tada, T. Inoue, H. Hosomatsu, and H. Iwaoka, Appl. Phys. Lett. 56, 1620 (1990).
[CrossRef]

IEEE J. Quant. Electron. (1)

J. Skaar, L. Wang, and T. Erdogan, IEEE J. Quant. Electron. 37, 165 (2001).
[CrossRef]

J. Appl. Phys. (2)

I. Kay and H. E. Moses, J. Appl. Phys. 27, 1503 (1956).
[CrossRef]

H. Kogelnik and C. V. Shank, J. Appl. Phys. 43, 2327 (1972).
[CrossRef]

J. Phys. A (1)

N. Debergh, A. A. Pecheritsin, B. F. Samsonov, and B. Van den Bossche, J. Phys. A 35, 3279 (2002).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (1)

M. Blaauboer, A. G. Kofman, A. E. Kozhekin, G. Kurizki, D. Lenstra, and A. Lodder, Phys. Rev. A 57, 4905 (1998).
[CrossRef]

Phys. Rev. Lett. (1)

S. Longhi, Phys. Rev. Lett. 105, 013903 (2010).
[CrossRef]

Stud. Appl. Math. (1)

M. J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, Stud. Appl. Math. 53, 249 (1974).

Other (4)

R.A.Fisher, ed., Optical Phase Conjugation (Academic, 1983).

According to the inverse scattering theory, the potential corresponds to a radiationless (fundamental soliton) initial condition q(x,0) of the self-focusing nonlinear Schrödinger equation ∂τq=i∂x2q+2i|q|2q (see ).

P. Yeh, Optical Waves in Layered Media (Wiley, 1988).

H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).

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