Abstract

PT-symmetric optical systems have been widely researched in recent years and most of the researches are limited to weakly guiding condition. In this paper, we propose a method based on the conventional coupled mode theory (CMT) to describe PT-symmetric coupling systems regardless of the guiding conditions. With this method, we can examine the unique PT characteristics and design various PT optical structures.

© 2013 IEEE

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  1. C. M. Bender, S. Boettcher, "Real spectra in non-hermitian hamiltonians having PT symmetry," Phy. Rev. Lett 80, 5243-5246 (1998).
  2. C. M. Bender, S. Boettcher, P. N. Meisinger, "PT-symmetric quantum mechanics," J. Math. Phys 40, 2201 (1999).
  3. R. El-Ganainy, K. G. Makris, D. N. Christodoulides, Z. H. Musslimani, "Theory of coupled optical PT-symmetric structures," Opt. Lett 32, 2632-2634 (2007).
  4. S. Klaiman, U. Günther, N. Moiseyev, "Visualization of branch points in PT-symmetric waveguides," Phys. Rev. Lett 101, 080402 (2008).
  5. K. G. Makris, R. El-Ganainy, D. N. Christodoulides, "Beam dynamics in PT symmetric optical lattices," Phys. Rev. Lett 100, 1-4 (2008).
  6. Z. H. Musslimani, "Optical solitons in PT periodic potentials," Phys. Rev. Lett 100, 1-4 (2008).
  7. C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, D. Kip, "Observation of parity-time symmetry in optics," Nat. Phys 6, 192-195 (2010).
  8. K. G. Makris, R. El-Ganainy, D. N. Christodoulides, "PT-symmetric optical lattices," Phys. Rev. A 81, 063807 (2010).
  9. J. ?tyroký, V. Kuzmiak, S. Eyderman, "Waveguide structures with antisymmetric gain/loss profile," Opt. Exp. 18, 21585-21593 (2010).
  10. J. ?tyroký, V. Kuzmiak, S. Eyderman, "Surface waves at the interface with an antisymmetric gain/loss profile," Proc. AIP Conf. (2010) pp. 40-42.
  11. A. Yariv, P. Yeh, Photonics: Optical Electronics in Modern Communications (Oxford, 2007).
  12. B. Bagchi, C. Quesne, M. Znojil, "Generalized continuity equation and modified normalization in PT-symmetric quantum mechanics," Mod. Phys. Lett. A 16, 2047 (2001).
  13. M. Znojil, "Conservation of pseudo-norm in PT symmetric quantum mechanics," arXiv:math-ph/0104012v1 (2001).

2010 (3)

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, D. Kip, "Observation of parity-time symmetry in optics," Nat. Phys 6, 192-195 (2010).

K. G. Makris, R. El-Ganainy, D. N. Christodoulides, "PT-symmetric optical lattices," Phys. Rev. A 81, 063807 (2010).

J. ?tyroký, V. Kuzmiak, S. Eyderman, "Waveguide structures with antisymmetric gain/loss profile," Opt. Exp. 18, 21585-21593 (2010).

2008 (3)

S. Klaiman, U. Günther, N. Moiseyev, "Visualization of branch points in PT-symmetric waveguides," Phys. Rev. Lett 101, 080402 (2008).

K. G. Makris, R. El-Ganainy, D. N. Christodoulides, "Beam dynamics in PT symmetric optical lattices," Phys. Rev. Lett 100, 1-4 (2008).

Z. H. Musslimani, "Optical solitons in PT periodic potentials," Phys. Rev. Lett 100, 1-4 (2008).

2007 (1)

R. El-Ganainy, K. G. Makris, D. N. Christodoulides, Z. H. Musslimani, "Theory of coupled optical PT-symmetric structures," Opt. Lett 32, 2632-2634 (2007).

2001 (1)

B. Bagchi, C. Quesne, M. Znojil, "Generalized continuity equation and modified normalization in PT-symmetric quantum mechanics," Mod. Phys. Lett. A 16, 2047 (2001).

1999 (1)

C. M. Bender, S. Boettcher, P. N. Meisinger, "PT-symmetric quantum mechanics," J. Math. Phys 40, 2201 (1999).

1998 (1)

C. M. Bender, S. Boettcher, "Real spectra in non-hermitian hamiltonians having PT symmetry," Phy. Rev. Lett 80, 5243-5246 (1998).

J. Math. Phys (1)

C. M. Bender, S. Boettcher, P. N. Meisinger, "PT-symmetric quantum mechanics," J. Math. Phys 40, 2201 (1999).

Mod. Phys. Lett. A (1)

B. Bagchi, C. Quesne, M. Znojil, "Generalized continuity equation and modified normalization in PT-symmetric quantum mechanics," Mod. Phys. Lett. A 16, 2047 (2001).

Nat. Phys (1)

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, D. Kip, "Observation of parity-time symmetry in optics," Nat. Phys 6, 192-195 (2010).

Opt. Exp. (1)

J. ?tyroký, V. Kuzmiak, S. Eyderman, "Waveguide structures with antisymmetric gain/loss profile," Opt. Exp. 18, 21585-21593 (2010).

Opt. Lett (1)

R. El-Ganainy, K. G. Makris, D. N. Christodoulides, Z. H. Musslimani, "Theory of coupled optical PT-symmetric structures," Opt. Lett 32, 2632-2634 (2007).

Phy. Rev. Lett (1)

C. M. Bender, S. Boettcher, "Real spectra in non-hermitian hamiltonians having PT symmetry," Phy. Rev. Lett 80, 5243-5246 (1998).

Phys. Rev. A (1)

K. G. Makris, R. El-Ganainy, D. N. Christodoulides, "PT-symmetric optical lattices," Phys. Rev. A 81, 063807 (2010).

Phys. Rev. Lett (3)

S. Klaiman, U. Günther, N. Moiseyev, "Visualization of branch points in PT-symmetric waveguides," Phys. Rev. Lett 101, 080402 (2008).

K. G. Makris, R. El-Ganainy, D. N. Christodoulides, "Beam dynamics in PT symmetric optical lattices," Phys. Rev. Lett 100, 1-4 (2008).

Z. H. Musslimani, "Optical solitons in PT periodic potentials," Phys. Rev. Lett 100, 1-4 (2008).

Other (3)

J. ?tyroký, V. Kuzmiak, S. Eyderman, "Surface waves at the interface with an antisymmetric gain/loss profile," Proc. AIP Conf. (2010) pp. 40-42.

A. Yariv, P. Yeh, Photonics: Optical Electronics in Modern Communications (Oxford, 2007).

M. Znojil, "Conservation of pseudo-norm in PT symmetric quantum mechanics," arXiv:math-ph/0104012v1 (2001).

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