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Implementation of PT symmetric devices using plasmonics: principle and applicationsHenri Benisty, Aloyse Degiron, Anatole Lupu, André De Lustrac, Sébastien Chénais, Sébastien Forget, Mondher Besbes, Grégory Barbillon, Aurélien Bruyant, Sylvain Blaize, and Gilles Lérondel »View Author Affiliations
Henri Benisty,1,*
Aloyse Degiron,2
Anatole Lupu,2
André De Lustrac,2
Sébastien Chénais,3
Sébastien Forget,3
Mondher Besbes,1
Grégory Barbillon,1
Aurélien Bruyant,4
Sylvain Blaize,4
and Gilles Lérondel4
1Laboratoire Charles Fabry de l’Institut d’Optique, CNRS, Univ. Paris-Sud, Campus Polytechnique, RD 128, 91127 Palaiseau Cedex, France 2Institut d’Électronique Fondamentale, UMR 8622 du CNRS, Université Paris-Sud, Bât. 220, 91405 Orsay Cedex, France 3Laboratoire de Physique des Lasers, UMR 7538, Université Paris, 13/CNRS, 93430 Villetaneuse, France 4Laboratoire de Nanotechnologie et d’Instrumentation Optique, Institut Charles Delaunay, CNRS-FRE 2848, Université de Technologie de Troyes, BP 2060, 10010 Troyes, France *Corresponding author: henri.benisty@institutoptique.fr |
Optics Express, Vol. 19, Issue 19, pp. 18004-18019 (2011)
http://dx.doi.org/10.1364/OE.19.018004
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Abstract
The so-called PT symmetric devices, which feature
© 2011 OSA
OCIS Codes
(250.5300) Optoelectronics : Photonic integrated circuits
(130.4815) Integrated optics : Optical switching devices
(250.5403) Optoelectronics : Plasmonics
(080.6755) Geometric optics : Systems with special symmetry
ToC Category:
Integrated Optics
History
Original Manuscript: May 20, 2011
Revised Manuscript: July 1, 2011
Manuscript Accepted: July 13, 2011
Published: August 30, 2011
Citation
Henri Benisty, Aloyse Degiron, Anatole Lupu, André De Lustrac, Sébastien Chénais, Sébastien Forget, Mondher Besbes, Grégory Barbillon, Aurélien Bruyant, Sylvain Blaize, and Gilles Lérondel, "Implementation of PT symmetric devices using plasmonics: principle and applications," Opt. Express 19, 18004-18019 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-19-18004
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References
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- R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature461(7264), 629–632 (2009). [CrossRef] [PubMed]
- M. Kulishov, J. M. Laniel, N. Bélanger, and D. V. Plant, “Trapping light in a ring resonator using a grating-assisted coupler with asymmetric transmission,” Opt. Express13(9), 3567–3578 (2005). [CrossRef] [PubMed]
- M. Kulishov, J. M. Laniel, N. Bélanger, J. Azaña, and D. V. Plant, “Nonreciprocal waveguide Bragg gratings,” Opt. Express13(8), 3068–3078 (2005). [CrossRef] [PubMed]
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- D. J. Bergman and M. I. Stockman, “Surface plasmon amplification by stimulated emission of radiation: quantum generation of coherent surface plasmons in nanosystems,” Phys. Rev. Lett.90(2), 027402 (2003). [CrossRef] [PubMed]
- I. De Leon and P. Berini, “Amplification of long-range surface plasmons by a dipolar gain medium,” Nat. Photonics4(6), 382–387 (2010). [CrossRef]
- P. Berini, “Plasmon-polariton waves guided by thin lossy metal films of finite width: Bound modes of asymmetric structures,” Phys. Rev. B63(12), 125417 (2001). [CrossRef]
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- C. Jeppesen, R. B. Nielsen, A. Boltasseva, S. Xiao, N. A. Mortensen, and A. Kristensen, “Thin film Ag superlens towards lab-on-a-chip integration,” Opt. Express17(25), 22543–22552 (2009). [CrossRef] [PubMed]
- A. Boltasseva, V. S. Volkov, R. B. Nielsen, E. Moreno, S. G. Rodrigo, and S. I. Bozhevolnyi, “Triangular metal wedges for subwavelength plasmon-polariton guiding at telecom wavelengths,” Opt. Express16(8), 5252–5260 (2008). [CrossRef] [PubMed]
- K. Leosson, T. Nikolajsen, A. Boltasseva, and S. I. Bozhevolnyi, “Long-range surface plasmon polariton nanowire waveguides for device applications,” Opt. Express14(1), 314–319 (2006). [CrossRef] [PubMed]
- J. Grandidier, S. Massenot, G. des Francs, A. Bouhelier, J.-C. Weeber, L. Markey, A. Dereux, J. Renger, M. González, and R. Quidant, “Dielectric-loaded surface plasmon polariton waveguides: figures of merit and mode characterization by image and Fourier plane leakage microscopy,” Phys. Rev. B78(24), 245419 (2008). [CrossRef]
- T. Holmgaard, J. Gosciniak, and S. I. Bozhevolnyi, “Long-range dielectric-loaded surface plasmon-polariton waveguides,” Opt. Express18(22), 23009–23015 (2010). [CrossRef] [PubMed]
- A. Boltasseva, V. S. Volkov, R. B. Nielsen, E. Moreno, S. G. Rodrigo, and S. I. Bozhevolnyi, “Triangular metal wedges for subwavelength plasmon-polariton guiding at telecom wavelengths,” Opt. Express16(8), 5252–5260 (2008). [CrossRef] [PubMed]
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- T. Virgili, D. G. Lidzey, D. D. C. Bradley, G. Cerullo, S. Stagira, and S. De Silvestri, “An ultrafast spectroscopy study of stimulated emission in poly(9,9-dioctylfluorene) films and microcavities,” Appl. Phys. Lett.74(19), 2767–2769 (1999). [CrossRef]
- C. Delacour, S. Blaize, P. Grosse, J. M. Fedeli, A. Bruyant, R. Salas-Montiel, G. Lerondel, and A. Chelnokov, “Efficient directional coupling between silicon and copper plasmonic nanoslot waveguides: toward metal-oxide-silicon nanophotonics,” Nano Lett.10(8), 2922–2926 (2010). [CrossRef] [PubMed]
- R. Harbers, P. Strasser, D. Caimi, R. F. Mahrt, N. Moll, B. J. Offrein, D. Erni, W. Bächtold, and U. Scherf, “Enhanced feedback in organic photonic-crystal lasers,” Appl. Phys. Lett.87(15), 151121 (2005). [CrossRef]
- H. Rabbani-Haghighi, S. Forget, S. Chénais, A. Siove, M.-C. Castex, and E. Ishow, “Laser operation in nondoped thin films made of a small-molecule organic red-emitter,” Appl. Phys. Lett.95(3), 033305 (2009). [CrossRef]
- L. Dal Negro, P. Bettotti, M. Cazzanelli, D. Pacifici, and L. Pavesi, “Applicability conditions and experimental analysis of the variable stripe length method for gain measurements,” Opt. Commun.229(1-6), 337–348 (2004). [CrossRef]
- S. Klaiman and L. S. Cederbaum, “Non-Hermitian Hamiltonians with space-time symmetry,” Phys. Rev. A78(6), 062113 (2008). [CrossRef]
- T. Virgili, D. G. Lidzey, D. D. C. Bradley, G. Cerullo, S. Stagira, and S. De Silvestri, “An ultrafast spectroscopy study of stimulated emission in poly(9,9-dioctylfluorene) films and microcavities,” Appl. Phys. Lett.74(19), 2767–2769 (1999). [CrossRef]
- C. Delacour, S. Blaize, P. Grosse, J. M. Fedeli, A. Bruyant, R. Salas-Montiel, G. Lerondel, and A. Chelnokov, “Efficient directional coupling between silicon and copper plasmonic nanoslot waveguides: toward metal-oxide-silicon nanophotonics,” Nano Lett.10(8), 2922–2926 (2010). [CrossRef] [PubMed]
- H. Rabbani-Haghighi, S. Forget, S. Chénais, and A. Siove, “Highly efficient, diffraction-limited laser emission from a vertical external-cavity surface-emitting organic laser,” Opt. Lett.35(12), 1968–1970 (2010). [CrossRef] [PubMed]
- H. Rabbani-Haghighi, S. Forget, S. Chénais, A. Siove, M.-C. Castex, and E. Ishow, “Laser operation in nondoped thin films made of a small-molecule organic red-emitter,” Appl. Phys. Lett.95(3), 033305 (2009). [CrossRef]
- A. Degiron, S. Y. Cho, T. Tyler, N. M. Jokerst, and D. R. Smith, “Directional coupling between dielectric and long-range plasmon waveguides,” N. J. Phys.11(1), 015002 (2009). [CrossRef]
- H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, “Unidirectional nonlinear PT-symmetric optical structures,” Phys. Rev. A82(4), 043803 (2010). [CrossRef]
- C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity–time symmetry in optics,” Nat. Phys.6(3), 192–195 (2010). [CrossRef]
- A. Guo, G. J. Salamo, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-symmetry breaking in complex optical potentials,” Phys. Rev. Lett.103(9), 093902 (2009). [CrossRef] [PubMed]
- K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, “Beam dynamics in PT symmetric optical lattices,” Phys. Rev. Lett.100(10), 103904 (2008). [CrossRef] [PubMed]
- R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature461(7264), 629–632 (2009). [CrossRef] [PubMed]
- L. Dal Negro, P. Bettotti, M. Cazzanelli, D. Pacifici, and L. Pavesi, “Applicability conditions and experimental analysis of the variable stripe length method for gain measurements,” Opt. Commun.229(1-6), 337–348 (2004). [CrossRef]
- L. Pavesi, L. Dal Negro, C. Mazzoleni, G. Franzò, and F. Priolo, “Optical gain in silicon nanocrystals,” Nature408(6811), 440–444 (2000). [CrossRef] [PubMed]
- M. C. Gather, K. Meerholz, N. Danz, and K. Leosson, “Net optical gain in a plasmonic waveguide embedded in a fluorescent polymer,” Nat. Photonics4(7), 457–461 (2010). [CrossRef]
- I. De Leon and P. Berini, “Amplification of long-range surface plasmons by a dipolar gain medium,” Nat. Photonics4(6), 382–387 (2010). [CrossRef]
- T. Virgili, D. G. Lidzey, D. D. C. Bradley, G. Cerullo, S. Stagira, and S. De Silvestri, “An ultrafast spectroscopy study of stimulated emission in poly(9,9-dioctylfluorene) films and microcavities,” Appl. Phys. Lett.74(19), 2767–2769 (1999). [CrossRef]
- A. Degiron, S. Y. Cho, T. Tyler, N. M. Jokerst, and D. R. Smith, “Directional coupling between dielectric and long-range plasmon waveguides,” N. J. Phys.11(1), 015002 (2009). [CrossRef]
- C. Delacour, S. Blaize, P. Grosse, J. M. Fedeli, A. Bruyant, R. Salas-Montiel, G. Lerondel, and A. Chelnokov, “Efficient directional coupling between silicon and copper plasmonic nanoslot waveguides: toward metal-oxide-silicon nanophotonics,” Nano Lett.10(8), 2922–2926 (2010). [CrossRef] [PubMed]
- J. Grandidier, S. Massenot, G. des Francs, A. Bouhelier, J.-C. Weeber, L. Markey, A. Dereux, J. Renger, M. González, and R. Quidant, “Dielectric-loaded surface plasmon polariton waveguides: figures of merit and mode characterization by image and Fourier plane leakage microscopy,” Phys. Rev. B78(24), 245419 (2008). [CrossRef]
- J. Grandidier, S. Massenot, G. des Francs, A. Bouhelier, J.-C. Weeber, L. Markey, A. Dereux, J. Renger, M. González, and R. Quidant, “Dielectric-loaded surface plasmon polariton waveguides: figures of merit and mode characterization by image and Fourier plane leakage microscopy,” Phys. Rev. B78(24), 245419 (2008). [CrossRef]
- M. D. McGehee, R. Gupta, S. Veenstra, E. K. Miller, M. A. Diaz-Garcia, and A. J. Heeger, “Amplified spontaneous emission from photopumped films of a conjugated polymer,” Phys. Rev. B58(11), 7035–7039 (1998). [CrossRef]
- H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, “Unidirectional nonlinear PT-symmetric optical structures,” Phys. Rev. A82(4), 043803 (2010). [CrossRef]
- C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity–time symmetry in optics,” Nat. Phys.6(3), 192–195 (2010). [CrossRef]
- K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, “Beam dynamics in PT symmetric optical lattices,” Phys. Rev. Lett.100(10), 103904 (2008). [CrossRef] [PubMed]
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- C. Delacour, S. Blaize, P. Grosse, J. M. Fedeli, A. Bruyant, R. Salas-Montiel, G. Lerondel, and A. Chelnokov, “Efficient directional coupling between silicon and copper plasmonic nanoslot waveguides: toward metal-oxide-silicon nanophotonics,” Nano Lett.10(8), 2922–2926 (2010). [CrossRef] [PubMed]
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- A. Guo, G. J. Salamo, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-symmetry breaking in complex optical potentials,” Phys. Rev. Lett.103(9), 093902 (2009). [CrossRef] [PubMed]
- J. Grandidier, S. Massenot, G. des Francs, A. Bouhelier, J.-C. Weeber, L. Markey, A. Dereux, J. Renger, M. González, and R. Quidant, “Dielectric-loaded surface plasmon polariton waveguides: figures of merit and mode characterization by image and Fourier plane leakage microscopy,” Phys. Rev. B78(24), 245419 (2008). [CrossRef]
- G. Wegmann, B. Schweitzer, D. Hertel, H. Giessen, M. Oestreich, U. Scherf, K. Müllen, and R. F. Mahrt, “The dynamics of gain-narrowing in a ladder-type [pi]-conjugated polymer,” Chem. Phys. Lett.312(5–6), 376–384 (1999). [CrossRef]
- M. A. Noginov, G. Zhu, A. M. Belgrave, R. Bakker, V. M. Shalaev, E. E. Narimanov, S. Stout, E. Herz, T. Suteewong, and U. Wiesner, “Demonstration of a spaser-based nanolaser,” Nature460(7259), 1110–1112 (2009). [CrossRef] [PubMed]
- V. Z. Zayats, I. I. Smolyaninov, and A. A. Maradudin, “Nano-optics of surface plasmon polaritons,” Phys. Rep.408(3–4), 131–314 (2005). [CrossRef]
- R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature461(7264), 629–632 (2009). [CrossRef] [PubMed]
- R.-M. Ma, R. F. Oulton, V. J. Sorger, G. Bartal, and X. Zhang, “Room-temperature sub-diffraction-limited plasmon laser by total internal reflection,” Nat. Mater.10(2), 110–113 (2011). [CrossRef] [PubMed]
- R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature461(7264), 629–632 (2009). [CrossRef] [PubMed]
- R. F. Oulton, V. J. Sorger, D. A. Genov, D. F. P. Pile, and X. Zhang, “A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation,” Nat. Photonics2(8), 496–500 (2008). [CrossRef]
- M. A. Noginov, G. Zhu, A. M. Belgrave, R. Bakker, V. M. Shalaev, E. E. Narimanov, S. Stout, E. Herz, T. Suteewong, and U. Wiesner, “Demonstration of a spaser-based nanolaser,” Nature460(7259), 1110–1112 (2009). [CrossRef] [PubMed]
- M. A. Noginov, V. A. Podolskiy, G. Zhu, M. Mayy, M. Bahoura, J. A. Adegoke, B. A. Ritzo, and K. Reynolds, “Compensation of loss in propagating surface plasmon polariton by gain in adjacent dielectric medium,” Opt. Express16(2), 1385–1392 (2008). [CrossRef] [PubMed]
Appl. Phys. Lett.
- T. Virgili, D. G. Lidzey, D. D. C. Bradley, G. Cerullo, S. Stagira, and S. De Silvestri, “An ultrafast spectroscopy study of stimulated emission in poly(9,9-dioctylfluorene) films and microcavities,” Appl. Phys. Lett.74(19), 2767–2769 (1999). [CrossRef]
- K. L. Shaklee and R. F. Leheny, “Direct determination of optical gain in semiconductor crystals,” Appl. Phys. Lett.18(11), 475–477 (1971). [CrossRef]
- R. Harbers, P. Strasser, D. Caimi, R. F. Mahrt, N. Moll, B. J. Offrein, D. Erni, W. Bächtold, and U. Scherf, “Enhanced feedback in organic photonic-crystal lasers,” Appl. Phys. Lett.87(15), 151121 (2005). [CrossRef]
- H. Rabbani-Haghighi, S. Forget, S. Chénais, A. Siove, M.-C. Castex, and E. Ishow, “Laser operation in nondoped thin films made of a small-molecule organic red-emitter,” Appl. Phys. Lett.95(3), 033305 (2009). [CrossRef]
Chem. Phys. Lett.
- G. Wegmann, B. Schweitzer, D. Hertel, H. Giessen, M. Oestreich, U. Scherf, K. Müllen, and R. F. Mahrt, “The dynamics of gain-narrowing in a ladder-type [pi]-conjugated polymer,” Chem. Phys. Lett.312(5–6), 376–384 (1999). [CrossRef]
J. Appl. Phys.
- H. Benisty and M. Besbes, “Plasmonic inverse rib waveguiding for tight confinement and smooth interface definition,” J. Appl. Phys.108(6), 063108 (2010). [CrossRef]
N. J. Phys.
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Nano Lett.
- C. Delacour, S. Blaize, P. Grosse, J. M. Fedeli, A. Bruyant, R. Salas-Montiel, G. Lerondel, and A. Chelnokov, “Efficient directional coupling between silicon and copper plasmonic nanoslot waveguides: toward metal-oxide-silicon nanophotonics,” Nano Lett.10(8), 2922–2926 (2010). [CrossRef] [PubMed]
Nat. Mater.
- R.-M. Ma, R. F. Oulton, V. J. Sorger, G. Bartal, and X. Zhang, “Room-temperature sub-diffraction-limited plasmon laser by total internal reflection,” Nat. Mater.10(2), 110–113 (2011). [CrossRef] [PubMed]
Nat. Photonics
- R. F. Oulton, V. J. Sorger, D. A. Genov, D. F. P. Pile, and X. Zhang, “A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation,” Nat. Photonics2(8), 496–500 (2008). [CrossRef]
- I. De Leon and P. Berini, “Amplification of long-range surface plasmons by a dipolar gain medium,” Nat. Photonics4(6), 382–387 (2010). [CrossRef]
- M. C. Gather, K. Meerholz, N. Danz, and K. Leosson, “Net optical gain in a plasmonic waveguide embedded in a fluorescent polymer,” Nat. Photonics4(7), 457–461 (2010). [CrossRef]
Nat. Phys.
- T. Kottos, “Broken symmetry makes light work,” Nat. Phys.6(3), 166–167 (2010). [CrossRef]
- C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity–time symmetry in optics,” Nat. Phys.6(3), 192–195 (2010). [CrossRef]
Nature
- R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature461(7264), 629–632 (2009). [CrossRef] [PubMed]
- M. A. Noginov, G. Zhu, A. M. Belgrave, R. Bakker, V. M. Shalaev, E. E. Narimanov, S. Stout, E. Herz, T. Suteewong, and U. Wiesner, “Demonstration of a spaser-based nanolaser,” Nature460(7259), 1110–1112 (2009). [CrossRef] [PubMed]
- L. Pavesi, L. Dal Negro, C. Mazzoleni, G. Franzò, and F. Priolo, “Optical gain in silicon nanocrystals,” Nature408(6811), 440–444 (2000). [CrossRef] [PubMed]
Opt. Commun.
- L. Dal Negro, P. Bettotti, M. Cazzanelli, D. Pacifici, and L. Pavesi, “Applicability conditions and experimental analysis of the variable stripe length method for gain measurements,” Opt. Commun.229(1-6), 337–348 (2004). [CrossRef]
Opt. Express
- K. Leosson, T. Nikolajsen, A. Boltasseva, and S. I. Bozhevolnyi, “Long-range surface plasmon polariton nanowire waveguides for device applications,” Opt. Express14(1), 314–319 (2006). [CrossRef] [PubMed]
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- A. Boltasseva, V. S. Volkov, R. B. Nielsen, E. Moreno, S. G. Rodrigo, and S. I. Bozhevolnyi, “Triangular metal wedges for subwavelength plasmon-polariton guiding at telecom wavelengths,” Opt. Express16(8), 5252–5260 (2008). [CrossRef] [PubMed]
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Opt. Lett.
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Phys. Rep.
- V. Z. Zayats, I. I. Smolyaninov, and A. A. Maradudin, “Nano-optics of surface plasmon polaritons,” Phys. Rep.408(3–4), 131–314 (2005). [CrossRef]
Phys. Rev. A
- H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, “Unidirectional nonlinear PT-symmetric optical structures,” Phys. Rev. A82(4), 043803 (2010). [CrossRef]
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Phys. Rev. B
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- J. Grandidier, S. Massenot, G. des Francs, A. Bouhelier, J.-C. Weeber, L. Markey, A. Dereux, J. Renger, M. González, and R. Quidant, “Dielectric-loaded surface plasmon polariton waveguides: figures of merit and mode characterization by image and Fourier plane leakage microscopy,” Phys. Rev. B78(24), 245419 (2008). [CrossRef]
- N. C. Giebink and S. R. Forrest, “Temporal response of optically pumped organic semiconductor lasers and its implication for reaching threshold under electrical excitation,” Phys. Rev. B79(7), 073302 (2009). [CrossRef]
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Phys. Rev. Lett.
- A. Guo, G. J. Salamo, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-symmetry breaking in complex optical potentials,” Phys. Rev. Lett.103(9), 093902 (2009). [CrossRef] [PubMed]
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- D. J. Bergman and M. I. Stockman, “Surface plasmon amplification by stimulated emission of radiation: quantum generation of coherent surface plasmons in nanosystems,” Phys. Rev. Lett.90(2), 027402 (2003). [CrossRef] [PubMed]
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2011, Ma, Nat. Mater.
- R.-M. Ma, R. F. Oulton, V. J. Sorger, G. Bartal, and X. Zhang, “Room-temperature sub-diffraction-limited plasmon laser by total internal reflection,” Nat. Mater.10(2), 110–113 (2011). [CrossRef] [PubMed]
- H. Benisty and M. Besbes, “Plasmonic inverse rib waveguiding for tight confinement and smooth interface definition,” J. Appl. Phys.108(6), 063108 (2010). [CrossRef]
- I. De Leon and P. Berini, “Amplification of long-range surface plasmons by a dipolar gain medium,” Nat. Photonics4(6), 382–387 (2010). [CrossRef]
- M. C. Gather, K. Meerholz, N. Danz, and K. Leosson, “Net optical gain in a plasmonic waveguide embedded in a fluorescent polymer,” Nat. Photonics4(7), 457–461 (2010). [CrossRef]
- T. Kottos, “Broken symmetry makes light work,” Nat. Phys.6(3), 166–167 (2010). [CrossRef]
- C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity–time symmetry in optics,” Nat. Phys.6(3), 192–195 (2010). [CrossRef]
- H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, “Unidirectional nonlinear PT-symmetric optical structures,” Phys. Rev. A82(4), 043803 (2010). [CrossRef]
- C. Delacour, S. Blaize, P. Grosse, J. M. Fedeli, A. Bruyant, R. Salas-Montiel, G. Lerondel, and A. Chelnokov, “Efficient directional coupling between silicon and copper plasmonic nanoslot waveguides: toward metal-oxide-silicon nanophotonics,” Nano Lett.10(8), 2922–2926 (2010). [CrossRef] [PubMed]
- A. Degiron, S. Y. Cho, T. Tyler, N. M. Jokerst, and D. R. Smith, “Directional coupling between dielectric and long-range plasmon waveguides,” N. J. Phys.11(1), 015002 (2009). [CrossRef]
- N. C. Giebink and S. R. Forrest, “Temporal response of optically pumped organic semiconductor lasers and its implication for reaching threshold under electrical excitation,” Phys. Rev. B79(7), 073302 (2009). [CrossRef]
- H. Rabbani-Haghighi, S. Forget, S. Chénais, A. Siove, M.-C. Castex, and E. Ishow, “Laser operation in nondoped thin films made of a small-molecule organic red-emitter,” Appl. Phys. Lett.95(3), 033305 (2009). [CrossRef]
- R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, “Plasmon lasers at deep subwavelength scale,” Nature461(7264), 629–632 (2009). [CrossRef] [PubMed]
- M. A. Noginov, G. Zhu, A. M. Belgrave, R. Bakker, V. M. Shalaev, E. E. Narimanov, S. Stout, E. Herz, T. Suteewong, and U. Wiesner, “Demonstration of a spaser-based nanolaser,” Nature460(7259), 1110–1112 (2009). [CrossRef] [PubMed]
- A. Guo, G. J. Salamo, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-symmetry breaking in complex optical potentials,” Phys. Rev. Lett.103(9), 093902 (2009). [CrossRef] [PubMed]
- J. Grandidier, S. Massenot, G. des Francs, A. Bouhelier, J.-C. Weeber, L. Markey, A. Dereux, J. Renger, M. González, and R. Quidant, “Dielectric-loaded surface plasmon polariton waveguides: figures of merit and mode characterization by image and Fourier plane leakage microscopy,” Phys. Rev. B78(24), 245419 (2008). [CrossRef]
- R. F. Oulton, V. J. Sorger, D. A. Genov, D. F. P. Pile, and X. Zhang, “A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation,” Nat. Photonics2(8), 496–500 (2008). [CrossRef]
- S. Klaiman, U. Günther, and N. Moiseyev, “Visualization of branch points in PT-symmetric waveguides,” Phys. Rev. Lett.101(8), 080402 (2008). [CrossRef] [PubMed]
- S. Klaiman and L. S. Cederbaum, “Non-Hermitian Hamiltonians with space-time symmetry,” Phys. Rev. A78(6), 062113 (2008). [CrossRef]
- K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, “Beam dynamics in PT symmetric optical lattices,” Phys. Rev. Lett.100(10), 103904 (2008). [CrossRef] [PubMed]
- V. Z. Zayats, I. I. Smolyaninov, and A. A. Maradudin, “Nano-optics of surface plasmon polaritons,” Phys. Rep.408(3–4), 131–314 (2005). [CrossRef]
- R. Harbers, P. Strasser, D. Caimi, R. F. Mahrt, N. Moll, B. J. Offrein, D. Erni, W. Bächtold, and U. Scherf, “Enhanced feedback in organic photonic-crystal lasers,” Appl. Phys. Lett.87(15), 151121 (2005). [CrossRef]
- L. Dal Negro, P. Bettotti, M. Cazzanelli, D. Pacifici, and L. Pavesi, “Applicability conditions and experimental analysis of the variable stripe length method for gain measurements,” Opt. Commun.229(1-6), 337–348 (2004). [CrossRef]
- D. J. Bergman and M. I. Stockman, “Surface plasmon amplification by stimulated emission of radiation: quantum generation of coherent surface plasmons in nanosystems,” Phys. Rev. Lett.90(2), 027402 (2003). [CrossRef] [PubMed]
- P. Berini, “Plasmon-polariton waves guided by thin lossy metal films of finite width: Bound modes of asymmetric structures,” Phys. Rev. B63(12), 125417 (2001). [CrossRef]
- P. Berini, “Plasmon-polariton waves guided by thin lossy metal films of finite width: Bound modes of symmetric structures,” Phys. Rev. B61(15), 10484–10503 (2000). [CrossRef]
- L. Pavesi, L. Dal Negro, C. Mazzoleni, G. Franzò, and F. Priolo, “Optical gain in silicon nanocrystals,” Nature408(6811), 440–444 (2000). [CrossRef] [PubMed]
- G. Wegmann, B. Schweitzer, D. Hertel, H. Giessen, M. Oestreich, U. Scherf, K. Müllen, and R. F. Mahrt, “The dynamics of gain-narrowing in a ladder-type [pi]-conjugated polymer,” Chem. Phys. Lett.312(5–6), 376–384 (1999). [CrossRef]
- T. Virgili, D. G. Lidzey, D. D. C. Bradley, G. Cerullo, S. Stagira, and S. De Silvestri, “An ultrafast spectroscopy study of stimulated emission in poly(9,9-dioctylfluorene) films and microcavities,” Appl. Phys. Lett.74(19), 2767–2769 (1999). [CrossRef]
- M. D. McGehee, R. Gupta, S. Veenstra, E. K. Miller, M. A. Diaz-Garcia, and A. J. Heeger, “Amplified spontaneous emission from photopumped films of a conjugated polymer,” Phys. Rev. B58(11), 7035–7039 (1998). [CrossRef]
- K. L. Shaklee and R. F. Leheny, “Direct determination of optical gain in semiconductor crystals,” Appl. Phys. Lett.18(11), 475–477 (1971). [CrossRef]
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