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[CrossRef]

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[CrossRef]

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[CrossRef]

S. Nixon, L. Ge, and J. Yang, “Stability analysis for soliton in PT-symmetric optical lattices,” Phys. Rev. A 85, 023822 (2012).

[CrossRef]

A. Majumdar, M. Bajcsy, D. Englund, and J. Vuckovic, “All optical switching with a single quantum dot strongly coupled to a photonic crystal cavity,” IEEE J. Sel. Top. Quantum Electron. 18, 1812–1817 (2012).

[CrossRef]

Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, “Unidirectional invisibility induced by PT-symmetric periodic structures,” Phys. Rev. Lett. 106, 213901 (2011).

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Y. D. Chong, L. Ge, and A. D. Stone, “PT-symmetry breaking and laser-absorber modes in optical scattering systems,” Phys. Rev. Lett. 106, 093902 (2011).

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H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, “Unidirectional nonlinear PT-symmetric optical structures,” Phys. Rev. A 82, 043803 (2010).

[CrossRef]

A. A. Sukhorukov, Z. Xu, and Y. S. Kivshar, “Nonlinear suppression of time reversals in PT-symmetric optical couplers,” Phys. Rev. A 82, 043818 (2010).

[CrossRef]

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

[CrossRef]

A. Mostafazadeh, “Spectral singularities of complex scattering potentials and infinite reflection and transmission coefficients at real energies,” Phys. Rev. Lett. 102, 220402 (2009).

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K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Beam dynamics in PT symmetric optical lattices,” Phys. Rev. Lett. 100, 103904 (2008).

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A. Melloni, M. Chinello, and M. Martinelli, “All-optical switching in phase shifted fibre Bragg grating,” IEEE Photon. Technol. Lett. 12, 42–44 (2000).

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[CrossRef]

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[CrossRef]

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[CrossRef]

A. Majumdar, M. Bajcsy, D. Englund, and J. Vuckovic, “All optical switching with a single quantum dot strongly coupled to a photonic crystal cavity,” IEEE J. Sel. Top. Quantum Electron. 18, 1812–1817 (2012).

[CrossRef]

C. M. Bender, S. Boettcher, and P. N. Meisinger, “PT-symmetric quantum mechanics,” J. Math. Phys. 40, 2201–2229 (1999).

[CrossRef]

V. Janyani, A. Vukovic, J. D. Paul, P. Sewell, and T. M. Benson, “The development of TLM models for nonlinear optics,” IEEE Microw. Rev. 10, 35–42 (2004).

S. Phang, A. Vukovic, H. Susanto, T. M. Benson, and P. Sewell, “Time domain modeling of all-optical switch based on PT-symmetric Bragg grating,” in Proceedings of the 29th Annual Review of Progress in Applied Computational Electromagnetics (ACES), Monterey, California, March20–28, 2013 (ACES, 2013), pp. 693–698.

A. Regensburger, C. Bersch, M. A. Miri, G. Onishchukov, D. N. Christodoulides, and U. Peschel, “Parity-time synthetic photonic lattices,” Nature 488, 167–171 (2012).

[CrossRef]

C. M. Bender, S. Boettcher, and P. N. Meisinger, “PT-symmetric quantum mechanics,” J. Math. Phys. 40, 2201–2229 (1999).

[CrossRef]

Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, “Unidirectional invisibility induced by PT-symmetric periodic structures,” Phys. Rev. Lett. 106, 213901 (2011).

[CrossRef]

L. Chen, R. Li, N. Yang, and L. Li, “Optical modes in PT-symmetric double channel waveguides,” in Proceedings of the Romanian Academy, Series A (2012), Vol. X, pp. 1–10.

A. Melloni, M. Chinello, and M. Martinelli, “All-optical switching in phase shifted fibre Bragg grating,” IEEE Photon. Technol. Lett. 12, 42–44 (2000).

[CrossRef]

Y. D. Chong, L. Ge, and A. D. Stone, “PT-symmetry breaking and laser-absorber modes in optical scattering systems,” Phys. Rev. Lett. 106, 093902 (2011).

[CrossRef]

A. Regensburger, C. Bersch, M. A. Miri, G. Onishchukov, D. N. Christodoulides, and U. Peschel, “Parity-time synthetic photonic lattices,” Nature 488, 167–171 (2012).

[CrossRef]

Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, “Unidirectional invisibility induced by PT-symmetric periodic structures,” Phys. Rev. Lett. 106, 213901 (2011).

[CrossRef]

H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, “Unidirectional nonlinear PT-symmetric optical structures,” Phys. Rev. A 82, 043803 (2010).

[CrossRef]

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

[CrossRef]

K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Beam dynamics in PT symmetric optical lattices,” Phys. Rev. Lett. 100, 103904 (2008).

[CrossRef]

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

[CrossRef]

J. Paul, C. Christopoulos, and D. W. P. Thomas, “Generalized material modes in TLM-part 3: material with nonlinear properties,” IEEE Trans. Antennas Propag. 50, 997–1004 (2002).

[CrossRef]

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[CrossRef]

K. Wörhoff, L. T. H. Hilderink, A. Driessen, and P. V. Lambeck, “Silicon oxynitride a versatile material for integrated optics applications,” J. Electrochem. Soc. 149, F85–F91 (2002).

[CrossRef]

D. Jalas, A. Petrov, M. Eich, W. Freude, S. Fan, Z. Yu, R. Baet, M. Popovic, A. Melloni, J. D. Joannopoulos, M. Vanwolleghem, C. R. Doerr, and H. Renner, “What is—and what is not an optical isolator,” Nat. Photonics 7, 579–582 (2013).

[CrossRef]

Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, “Unidirectional invisibility induced by PT-symmetric periodic structures,” Phys. Rev. Lett. 106, 213901 (2011).

[CrossRef]

H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, “Unidirectional nonlinear PT-symmetric optical structures,” Phys. Rev. A 82, 043803 (2010).

[CrossRef]

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

[CrossRef]

K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Beam dynamics in PT symmetric optical lattices,” Phys. Rev. Lett. 100, 103904 (2008).

[CrossRef]

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

[CrossRef]

J. Schindler, Z. Lin, J. M. Lee, H. Ramezani, F. M. Ellis, and T. Kottos, “PT-symmetric electronics,” J. Phys. A 45, 1–15 (2012).

[CrossRef]

A. Majumdar, M. Bajcsy, D. Englund, and J. Vuckovic, “All optical switching with a single quantum dot strongly coupled to a photonic crystal cavity,” IEEE J. Sel. Top. Quantum Electron. 18, 1812–1817 (2012).

[CrossRef]

D. Jalas, A. Petrov, M. Eich, W. Freude, S. Fan, Z. Yu, R. Baet, M. Popovic, A. Melloni, J. D. Joannopoulos, M. Vanwolleghem, C. R. Doerr, and H. Renner, “What is—and what is not an optical isolator,” Nat. Photonics 7, 579–582 (2013).

[CrossRef]

D. Jalas, A. Petrov, M. Eich, W. Freude, S. Fan, Z. Yu, R. Baet, M. Popovic, A. Melloni, J. D. Joannopoulos, M. Vanwolleghem, C. R. Doerr, and H. Renner, “What is—and what is not an optical isolator,” Nat. Photonics 7, 579–582 (2013).

[CrossRef]

S. Nixon, L. Ge, and J. Yang, “Stability analysis for soliton in PT-symmetric optical lattices,” Phys. Rev. A 85, 023822 (2012).

[CrossRef]

Y. D. Chong, L. Ge, and A. D. Stone, “PT-symmetry breaking and laser-absorber modes in optical scattering systems,” Phys. Rev. Lett. 106, 093902 (2011).

[CrossRef]

Y. Vlasov, W. M. J. Green, and F. Xia, “High-throughput silicon nanophotonic wavelength-insensitive switch for on-chip optical networks,” Nat. Photonics 2, 242–246 (2008).

[CrossRef]

K. Wörhoff, L. T. H. Hilderink, A. Driessen, and P. V. Lambeck, “Silicon oxynitride a versatile material for integrated optics applications,” J. Electrochem. Soc. 149, F85–F91 (2002).

[CrossRef]

W. J. R. Hoefer, “The transmission-line matrix method—theory and applications,” IEEE Trans. Microw. Theory Tech. 33, 882–893 (1985).

[CrossRef]

M. Krumpholz, C. Huber, and P. Russer, “A field theoretical comparison of FDTD and TLM,” IEEE Trans. Microw. Theory Tech. 43, 1935–1950 (1995).

[CrossRef]

D. Jalas, A. Petrov, M. Eich, W. Freude, S. Fan, Z. Yu, R. Baet, M. Popovic, A. Melloni, J. D. Joannopoulos, M. Vanwolleghem, C. R. Doerr, and H. Renner, “What is—and what is not an optical isolator,” Nat. Photonics 7, 579–582 (2013).

[CrossRef]

V. Janyani, A. Vukovic, J. D. Paul, P. Sewell, and T. M. Benson, “The development of TLM models for nonlinear optics,” IEEE Microw. Rev. 10, 35–42 (2004).

D. Jalas, A. Petrov, M. Eich, W. Freude, S. Fan, Z. Yu, R. Baet, M. Popovic, A. Melloni, J. D. Joannopoulos, M. Vanwolleghem, C. R. Doerr, and H. Renner, “What is—and what is not an optical isolator,” Nat. Photonics 7, 579–582 (2013).

[CrossRef]

P. B. Johns, “On the relationship between TLM and finite-difference methods for Maxwell’s equation,” IEEE Trans. Microw. Theory Tech. 35, 60–61 (1987).

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

[CrossRef]

A. A. Sukhorukov, Z. Xu, and Y. S. Kivshar, “Nonlinear suppression of time reversals in PT-symmetric optical couplers,” Phys. Rev. A 82, 043818 (2010).

[CrossRef]

J. Schindler, Z. Lin, J. M. Lee, H. Ramezani, F. M. Ellis, and T. Kottos, “PT-symmetric electronics,” J. Phys. A 45, 1–15 (2012).

[CrossRef]

Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, “Unidirectional invisibility induced by PT-symmetric periodic structures,” Phys. Rev. Lett. 106, 213901 (2011).

[CrossRef]

T. Kottos, “Broken symmetry makes light works,” Nat. Phys. 6, 166–167 (2010).

[CrossRef]

H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, “Unidirectional nonlinear PT-symmetric optical structures,” Phys. Rev. A 82, 043803 (2010).

[CrossRef]

M. Krumpholz, C. Huber, and P. Russer, “A field theoretical comparison of FDTD and TLM,” IEEE Trans. Microw. Theory Tech. 43, 1935–1950 (1995).

[CrossRef]

K. Wörhoff, L. T. H. Hilderink, A. Driessen, and P. V. Lambeck, “Silicon oxynitride a versatile material for integrated optics applications,” J. Electrochem. Soc. 149, F85–F91 (2002).

[CrossRef]

J. Schindler, Z. Lin, J. M. Lee, H. Ramezani, F. M. Ellis, and T. Kottos, “PT-symmetric electronics,” J. Phys. A 45, 1–15 (2012).

[CrossRef]

L. Chen, R. Li, N. Yang, and L. Li, “Optical modes in PT-symmetric double channel waveguides,” in Proceedings of the Romanian Academy, Series A (2012), Vol. X, pp. 1–10.

L. Chen, R. Li, N. Yang, and L. Li, “Optical modes in PT-symmetric double channel waveguides,” in Proceedings of the Romanian Academy, Series A (2012), Vol. X, pp. 1–10.

J. Schindler, Z. Lin, J. M. Lee, H. Ramezani, F. M. Ellis, and T. Kottos, “PT-symmetric electronics,” J. Phys. A 45, 1–15 (2012).

[CrossRef]

Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, “Unidirectional invisibility induced by PT-symmetric periodic structures,” Phys. Rev. Lett. 106, 213901 (2011).

[CrossRef]

A. Majumdar, M. Bajcsy, D. Englund, and J. Vuckovic, “All optical switching with a single quantum dot strongly coupled to a photonic crystal cavity,” IEEE J. Sel. Top. Quantum Electron. 18, 1812–1817 (2012).

[CrossRef]

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

[CrossRef]

K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Beam dynamics in PT symmetric optical lattices,” Phys. Rev. Lett. 100, 103904 (2008).

[CrossRef]

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

[CrossRef]

A. Melloni, M. Chinello, and M. Martinelli, “All-optical switching in phase shifted fibre Bragg grating,” IEEE Photon. Technol. Lett. 12, 42–44 (2000).

[CrossRef]

C. M. Bender, S. Boettcher, and P. N. Meisinger, “PT-symmetric quantum mechanics,” J. Math. Phys. 40, 2201–2229 (1999).

[CrossRef]

D. Jalas, A. Petrov, M. Eich, W. Freude, S. Fan, Z. Yu, R. Baet, M. Popovic, A. Melloni, J. D. Joannopoulos, M. Vanwolleghem, C. R. Doerr, and H. Renner, “What is—and what is not an optical isolator,” Nat. Photonics 7, 579–582 (2013).

[CrossRef]

A. Melloni, M. Chinello, and M. Martinelli, “All-optical switching in phase shifted fibre Bragg grating,” IEEE Photon. Technol. Lett. 12, 42–44 (2000).

[CrossRef]

A. Regensburger, C. Bersch, M. A. Miri, G. Onishchukov, D. N. Christodoulides, and U. Peschel, “Parity-time synthetic photonic lattices,” Nature 488, 167–171 (2012).

[CrossRef]

A. Mostafazadeh, “Spectral singularities of complex scattering potentials and infinite reflection and transmission coefficients at real energies,” Phys. Rev. Lett. 102, 220402 (2009).

[CrossRef]

A. Mostafazadeh, “Invisibility and PT-symmetry,” arXiv:1206.0116 (2012).

S. Nixon, L. Ge, and J. Yang, “Stability analysis for soliton in PT-symmetric optical lattices,” Phys. Rev. A 85, 023822 (2012).

[CrossRef]

A. Regensburger, C. Bersch, M. A. Miri, G. Onishchukov, D. N. Christodoulides, and U. Peschel, “Parity-time synthetic photonic lattices,” Nature 488, 167–171 (2012).

[CrossRef]

J. Paul, C. Christopoulos, and D. W. P. Thomas, “Generalized material modes in TLM-part 3: material with nonlinear properties,” IEEE Trans. Antennas Propag. 50, 997–1004 (2002).

[CrossRef]

J. Paul, C. Christopoulos, and D. W. P. Thomas, “Generalized material model in TLM-part I: material with frequency-dependent properties,” IEEE Trans. Antennas Propag. 47, 1528–1534 (1999).

V. Janyani, A. Vukovic, J. D. Paul, P. Sewell, and T. M. Benson, “The development of TLM models for nonlinear optics,” IEEE Microw. Rev. 10, 35–42 (2004).

A. Regensburger, C. Bersch, M. A. Miri, G. Onishchukov, D. N. Christodoulides, and U. Peschel, “Parity-time synthetic photonic lattices,” Nature 488, 167–171 (2012).

[CrossRef]

D. Jalas, A. Petrov, M. Eich, W. Freude, S. Fan, Z. Yu, R. Baet, M. Popovic, A. Melloni, J. D. Joannopoulos, M. Vanwolleghem, C. R. Doerr, and H. Renner, “What is—and what is not an optical isolator,” Nat. Photonics 7, 579–582 (2013).

[CrossRef]

S. Phang, A. Vukovic, H. Susanto, T. M. Benson, and P. Sewell, “Time domain modeling of all-optical switch based on PT-symmetric Bragg grating,” in Proceedings of the 29th Annual Review of Progress in Applied Computational Electromagnetics (ACES), Monterey, California, March20–28, 2013 (ACES, 2013), pp. 693–698.

D. Jalas, A. Petrov, M. Eich, W. Freude, S. Fan, Z. Yu, R. Baet, M. Popovic, A. Melloni, J. D. Joannopoulos, M. Vanwolleghem, C. R. Doerr, and H. Renner, “What is—and what is not an optical isolator,” Nat. Photonics 7, 579–582 (2013).

[CrossRef]

J. Schindler, Z. Lin, J. M. Lee, H. Ramezani, F. M. Ellis, and T. Kottos, “PT-symmetric electronics,” J. Phys. A 45, 1–15 (2012).

[CrossRef]

Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, “Unidirectional invisibility induced by PT-symmetric periodic structures,” Phys. Rev. Lett. 106, 213901 (2011).

[CrossRef]

H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, “Unidirectional nonlinear PT-symmetric optical structures,” Phys. Rev. A 82, 043803 (2010).

[CrossRef]

A. Regensburger, C. Bersch, M. A. Miri, G. Onishchukov, D. N. Christodoulides, and U. Peschel, “Parity-time synthetic photonic lattices,” Nature 488, 167–171 (2012).

[CrossRef]

D. Jalas, A. Petrov, M. Eich, W. Freude, S. Fan, Z. Yu, R. Baet, M. Popovic, A. Melloni, J. D. Joannopoulos, M. Vanwolleghem, C. R. Doerr, and H. Renner, “What is—and what is not an optical isolator,” Nat. Photonics 7, 579–582 (2013).

[CrossRef]

M. Krumpholz, C. Huber, and P. Russer, “A field theoretical comparison of FDTD and TLM,” IEEE Trans. Microw. Theory Tech. 43, 1935–1950 (1995).

[CrossRef]

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

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[CrossRef]

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

[CrossRef]

V. Janyani, A. Vukovic, J. D. Paul, P. Sewell, and T. M. Benson, “The development of TLM models for nonlinear optics,” IEEE Microw. Rev. 10, 35–42 (2004).

S. Phang, A. Vukovic, H. Susanto, T. M. Benson, and P. Sewell, “Time domain modeling of all-optical switch based on PT-symmetric Bragg grating,” in Proceedings of the 29th Annual Review of Progress in Applied Computational Electromagnetics (ACES), Monterey, California, March20–28, 2013 (ACES, 2013), pp. 693–698.

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Y. D. Chong, L. Ge, and A. D. Stone, “PT-symmetry breaking and laser-absorber modes in optical scattering systems,” Phys. Rev. Lett. 106, 093902 (2011).

[CrossRef]

A. A. Sukhorukov, Z. Xu, and Y. S. Kivshar, “Nonlinear suppression of time reversals in PT-symmetric optical couplers,” Phys. Rev. A 82, 043818 (2010).

[CrossRef]

S. Phang, A. Vukovic, H. Susanto, T. M. Benson, and P. Sewell, “Time domain modeling of all-optical switch based on PT-symmetric Bragg grating,” in Proceedings of the 29th Annual Review of Progress in Applied Computational Electromagnetics (ACES), Monterey, California, March20–28, 2013 (ACES, 2013), pp. 693–698.

J. Paul, C. Christopoulos, and D. W. P. Thomas, “Generalized material modes in TLM-part 3: material with nonlinear properties,” IEEE Trans. Antennas Propag. 50, 997–1004 (2002).

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