Abstract

Resonator-based optical circulators are fundamentally bandwidth-limited by their quality factors. We propose a new type of circulator based on directional coupling between one-way photonic chiral edge states and conventional two-way waveguides. The operational bandwidth of such circulators is tied to the bandwidth of the directional waveguide coupler and has the potential for simultaneous broadband operation and small device footprint.

© 2011 OSA

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    [CrossRef]

2011 (5)

K. Yayoi, K. Tobinaga, Y. Kaneko, A. V. Baryshev, and M. Inoue, “Optical waveguide circulators based on two-dimensional magneto photonic crystals: Numerical simulation for structure simplification and experimental verification,” J. Appl. Phys. 109, 07B750 (2011).

Y. Poo, R. X. Wu, Z. Lin, Y. Yang, and C. T. Chan, “Experimental realization of self-guiding unidirectional electromagnetic edge states,” Phys. Rev. Lett. 106(9), 093903 (2011).
[CrossRef] [PubMed]

I. Crassee, J. Levallois, A. L. Walter, M. Ostler, A. Bostwick, E. Rotenberg, T. Seyller, D. van der Marel, and A. B. Kuzmenko, “Giant Faraday rotation in single- and multilayer graphene,” Nat. Phys. 7(1), 48–51 (2011).
[CrossRef]

Q. Wang, Z. Ouyang, and Q. Liu, “Multiport photonic crystal circulators created by cascading magneto-optical cavities,” J. Opt. Soc. Am. B 28(4), 703 (2011).
[CrossRef]

H. Zhu and C. Jiang, “Optical isolation based on Nonreciprocal Micro-Ring Resonator,” J. Lightwave Technol. 29(11), 1647–1651 (2011).
[CrossRef]

2010 (3)

2009 (3)

A. B. Khanikaev, A. V. Baryshev, M. Inoue, and Y. S. Kivshar, “One-way electromagnetic Tamm states in magnetophotonic structures,” Appl. Phys. Lett. 95(1), 011101 (2009).
[CrossRef]

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljaci?, “Observation of unidirectional backscattering-immune topological electromagnetic states,” Nature 461(7265), 772–775 (2009).
[CrossRef] [PubMed]

M. Jablan, H. Buljan, and M. Solja?i?, “Plasmonics in graphene at infrared frequencies,” Phys. Rev. B 80(24), 245435 (2009).
[CrossRef]

2008 (4)

F. D. Haldane and S. Raghu, “Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry,” Phys. Rev. Lett. 100(1), 013904 (2008).
[CrossRef] [PubMed]

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljaci?, “Reflection-free one-way edge modes in a gyromagnetic photonic crystal,” Phys. Rev. Lett. 100(1), 013905 (2008).
[CrossRef] [PubMed]

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100(2), 023902 (2008).
[CrossRef] [PubMed]

H. Takeda and S. John, “Compact optical one-way waveguide isolators for photonic-band-gap microchips,” Phys. Rev. A 78(2), 023804 (2008).
[CrossRef]

2006 (1)

Z. Wang and S. Fan, “Suppressing the effect of disorders using time-reversal symmetry breaking in magneto-optical photonic crystals: An illustration with a four-port circulator,” Photonics Nanostruct. Fundam. Appl. 4, 132–140 (2006).

2005 (2)

Z. Wang and S. Fan, “Magneto-optical defects in two-dimensional photonic crystals,” Appl. Phys. B 81(2-3), 369–375 (2005).
[CrossRef]

Z. Wang and S. Fan, “Optical circulators in two-dimensional magneto-optical photonic crystals,” Opt. Lett. 30(15), 1989–1991 (2005).
[CrossRef] [PubMed]

2004 (2)

R. J. Potton, “Reciprocity in optics,” Rep. Prog. Phys. 67(5), 717–754 (2004).
[CrossRef]

N. Hanashima, K. Hata, R. Mochida, T. Oikawa, T. Kineri, Y. Satoh, and S. Iwatsuka, “Hybrid Optical Circulator Using Garnet–Quartz Composite Embedded in Planar Waveguides,” IEEE Photon. Technol. Lett. 16(10), 2269–2271 (2004).
[CrossRef]

1999 (1)

N. Sugimoto, T. Shintaku, A. Tate, H. Terui, M. Shimokozono, E. Kubota, M. Ishii, and Y. Inoue, “Waveguide polarization-independent optical circulator,” IEEE Photon. Technol. Lett. 11(3), 355–357 (1999).
[CrossRef]

1998 (1)

M. Inoue, K. Arai, T. Fujii, and M. Abe, “Magneto-optical properties of one-dimensional photonic crystals composed of magnetic and dielectric layers,” J. Appl. Phys. 83(11), 6768–6770 (1998).
[CrossRef]

1997 (1)

M. Lohmeyer, M. Shamonin, and P. Hertel, “Integrated optical circulator based on radiatively coupled magneto-optic waveguides,” Opt. Eng. 36(3), 889 (1997).
[CrossRef]

1993 (1)

M. Levy, I. Ilic, R. Scarmozzino, R. Osgood, R. Wolfe, C. J. Gutierrez, and G. A. Prinz, “Thin-film-magnet magneto-optic waveguide isolator,” IEEE Photonics Technol. Lett. 5(2), 198–200 (1993).
[CrossRef]

1974 (1)

R. Wallis, J. Brion, E. Burstein, and A. Hartstein, “Theory of surface polaritons in anisotropic dielectric media with application to surface magnetoplasmons in semiconductors,” Phys. Rev. B 9(8), 3424–3437 (1974).
[CrossRef]

1973 (1)

A. Yariv, “Coupled-mode theory for guided-wave optics,” IEEE J. Quantum Electron. 9(9), 919–933 (1973).
[CrossRef]

1972 (1)

K. Chiu and J. Quinn, “Magnetoplasma Surface Waves in Polar Semiconductors: Retardation Effects,” Phys. Rev. Lett. 29(9), 600–603 (1972).
[CrossRef]

1956 (1)

E. Ohm, “A Broad-Band Microwave Circulator,” IRE Trans. Microwave Theor. Tech. 4(4), 210–217 (1956).
[CrossRef]

Abe, M.

M. Inoue, K. Arai, T. Fujii, and M. Abe, “Magneto-optical properties of one-dimensional photonic crystals composed of magnetic and dielectric layers,” J. Appl. Phys. 83(11), 6768–6770 (1998).
[CrossRef]

Arai, K.

M. Inoue, K. Arai, T. Fujii, and M. Abe, “Magneto-optical properties of one-dimensional photonic crystals composed of magnetic and dielectric layers,” J. Appl. Phys. 83(11), 6768–6770 (1998).
[CrossRef]

Baryshev, A. V.

K. Yayoi, K. Tobinaga, Y. Kaneko, A. V. Baryshev, and M. Inoue, “Optical waveguide circulators based on two-dimensional magneto photonic crystals: Numerical simulation for structure simplification and experimental verification,” J. Appl. Phys. 109, 07B750 (2011).

A. B. Khanikaev, A. V. Baryshev, M. Inoue, and Y. S. Kivshar, “One-way electromagnetic Tamm states in magnetophotonic structures,” Appl. Phys. Lett. 95(1), 011101 (2009).
[CrossRef]

Bostwick, A.

I. Crassee, J. Levallois, A. L. Walter, M. Ostler, A. Bostwick, E. Rotenberg, T. Seyller, D. van der Marel, and A. B. Kuzmenko, “Giant Faraday rotation in single- and multilayer graphene,” Nat. Phys. 7(1), 48–51 (2011).
[CrossRef]

Brion, J.

R. Wallis, J. Brion, E. Burstein, and A. Hartstein, “Theory of surface polaritons in anisotropic dielectric media with application to surface magnetoplasmons in semiconductors,” Phys. Rev. B 9(8), 3424–3437 (1974).
[CrossRef]

Buljan, H.

M. Jablan, H. Buljan, and M. Solja?i?, “Plasmonics in graphene at infrared frequencies,” Phys. Rev. B 80(24), 245435 (2009).
[CrossRef]

Burstein, E.

R. Wallis, J. Brion, E. Burstein, and A. Hartstein, “Theory of surface polaritons in anisotropic dielectric media with application to surface magnetoplasmons in semiconductors,” Phys. Rev. B 9(8), 3424–3437 (1974).
[CrossRef]

Chan, C. T.

Y. Poo, R. X. Wu, Z. Lin, Y. Yang, and C. T. Chan, “Experimental realization of self-guiding unidirectional electromagnetic edge states,” Phys. Rev. Lett. 106(9), 093903 (2011).
[CrossRef] [PubMed]

Chiu, K.

K. Chiu and J. Quinn, “Magnetoplasma Surface Waves in Polar Semiconductors: Retardation Effects,” Phys. Rev. Lett. 29(9), 600–603 (1972).
[CrossRef]

Chong, Y.

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljaci?, “Observation of unidirectional backscattering-immune topological electromagnetic states,” Nature 461(7265), 772–775 (2009).
[CrossRef] [PubMed]

Chong, Y. D.

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljaci?, “Reflection-free one-way edge modes in a gyromagnetic photonic crystal,” Phys. Rev. Lett. 100(1), 013905 (2008).
[CrossRef] [PubMed]

Crassee, I.

I. Crassee, J. Levallois, A. L. Walter, M. Ostler, A. Bostwick, E. Rotenberg, T. Seyller, D. van der Marel, and A. B. Kuzmenko, “Giant Faraday rotation in single- and multilayer graphene,” Nat. Phys. 7(1), 48–51 (2011).
[CrossRef]

Dagens, B.

Eich, M.

Fan, S.

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100(2), 023902 (2008).
[CrossRef] [PubMed]

Z. Wang and S. Fan, “Suppressing the effect of disorders using time-reversal symmetry breaking in magneto-optical photonic crystals: An illustration with a four-port circulator,” Photonics Nanostruct. Fundam. Appl. 4, 132–140 (2006).

Z. Wang and S. Fan, “Magneto-optical defects in two-dimensional photonic crystals,” Appl. Phys. B 81(2-3), 369–375 (2005).
[CrossRef]

Z. Wang and S. Fan, “Optical circulators in two-dimensional magneto-optical photonic crystals,” Opt. Lett. 30(15), 1989–1991 (2005).
[CrossRef] [PubMed]

Fujii, T.

M. Inoue, K. Arai, T. Fujii, and M. Abe, “Magneto-optical properties of one-dimensional photonic crystals composed of magnetic and dielectric layers,” J. Appl. Phys. 83(11), 6768–6770 (1998).
[CrossRef]

Gralak, B.

Gutierrez, C. J.

M. Levy, I. Ilic, R. Scarmozzino, R. Osgood, R. Wolfe, C. J. Gutierrez, and G. A. Prinz, “Thin-film-magnet magneto-optic waveguide isolator,” IEEE Photonics Technol. Lett. 5(2), 198–200 (1993).
[CrossRef]

Haldane, F. D.

F. D. Haldane and S. Raghu, “Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry,” Phys. Rev. Lett. 100(1), 013904 (2008).
[CrossRef] [PubMed]

Hampe, J.

Hanashima, N.

N. Hanashima, K. Hata, R. Mochida, T. Oikawa, T. Kineri, Y. Satoh, and S. Iwatsuka, “Hybrid Optical Circulator Using Garnet–Quartz Composite Embedded in Planar Waveguides,” IEEE Photon. Technol. Lett. 16(10), 2269–2271 (2004).
[CrossRef]

Hartstein, A.

R. Wallis, J. Brion, E. Burstein, and A. Hartstein, “Theory of surface polaritons in anisotropic dielectric media with application to surface magnetoplasmons in semiconductors,” Phys. Rev. B 9(8), 3424–3437 (1974).
[CrossRef]

Hata, K.

N. Hanashima, K. Hata, R. Mochida, T. Oikawa, T. Kineri, Y. Satoh, and S. Iwatsuka, “Hybrid Optical Circulator Using Garnet–Quartz Composite Embedded in Planar Waveguides,” IEEE Photon. Technol. Lett. 16(10), 2269–2271 (2004).
[CrossRef]

Hertel, P.

M. Lohmeyer, M. Shamonin, and P. Hertel, “Integrated optical circulator based on radiatively coupled magneto-optic waveguides,” Opt. Eng. 36(3), 889 (1997).
[CrossRef]

Ilic, I.

M. Levy, I. Ilic, R. Scarmozzino, R. Osgood, R. Wolfe, C. J. Gutierrez, and G. A. Prinz, “Thin-film-magnet magneto-optic waveguide isolator,” IEEE Photonics Technol. Lett. 5(2), 198–200 (1993).
[CrossRef]

Inoue, M.

K. Yayoi, K. Tobinaga, Y. Kaneko, A. V. Baryshev, and M. Inoue, “Optical waveguide circulators based on two-dimensional magneto photonic crystals: Numerical simulation for structure simplification and experimental verification,” J. Appl. Phys. 109, 07B750 (2011).

A. B. Khanikaev, A. V. Baryshev, M. Inoue, and Y. S. Kivshar, “One-way electromagnetic Tamm states in magnetophotonic structures,” Appl. Phys. Lett. 95(1), 011101 (2009).
[CrossRef]

M. Inoue, K. Arai, T. Fujii, and M. Abe, “Magneto-optical properties of one-dimensional photonic crystals composed of magnetic and dielectric layers,” J. Appl. Phys. 83(11), 6768–6770 (1998).
[CrossRef]

Inoue, Y.

N. Sugimoto, T. Shintaku, A. Tate, H. Terui, M. Shimokozono, E. Kubota, M. Ishii, and Y. Inoue, “Waveguide polarization-independent optical circulator,” IEEE Photon. Technol. Lett. 11(3), 355–357 (1999).
[CrossRef]

Ishii, M.

N. Sugimoto, T. Shintaku, A. Tate, H. Terui, M. Shimokozono, E. Kubota, M. Ishii, and Y. Inoue, “Waveguide polarization-independent optical circulator,” IEEE Photon. Technol. Lett. 11(3), 355–357 (1999).
[CrossRef]

Iwatsuka, S.

N. Hanashima, K. Hata, R. Mochida, T. Oikawa, T. Kineri, Y. Satoh, and S. Iwatsuka, “Hybrid Optical Circulator Using Garnet–Quartz Composite Embedded in Planar Waveguides,” IEEE Photon. Technol. Lett. 16(10), 2269–2271 (2004).
[CrossRef]

Jablan, M.

M. Jablan, H. Buljan, and M. Solja?i?, “Plasmonics in graphene at infrared frequencies,” Phys. Rev. B 80(24), 245435 (2009).
[CrossRef]

Jalas, D.

Jiang, C.

Joannopoulos, J. D.

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljaci?, “Observation of unidirectional backscattering-immune topological electromagnetic states,” Nature 461(7265), 772–775 (2009).
[CrossRef] [PubMed]

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljaci?, “Reflection-free one-way edge modes in a gyromagnetic photonic crystal,” Phys. Rev. Lett. 100(1), 013905 (2008).
[CrossRef] [PubMed]

John, S.

H. Takeda and S. John, “Compact optical one-way waveguide isolators for photonic-band-gap microchips,” Phys. Rev. A 78(2), 023804 (2008).
[CrossRef]

Kaneko, Y.

K. Yayoi, K. Tobinaga, Y. Kaneko, A. V. Baryshev, and M. Inoue, “Optical waveguide circulators based on two-dimensional magneto photonic crystals: Numerical simulation for structure simplification and experimental verification,” J. Appl. Phys. 109, 07B750 (2011).

Khanikaev, A. B.

A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, “One-way extraordinary optical transmission and nonreciprocal spoof plasmons,” Phys. Rev. Lett. 105(12), 126804 (2010).
[CrossRef] [PubMed]

A. B. Khanikaev, A. V. Baryshev, M. Inoue, and Y. S. Kivshar, “One-way electromagnetic Tamm states in magnetophotonic structures,” Appl. Phys. Lett. 95(1), 011101 (2009).
[CrossRef]

Kineri, T.

N. Hanashima, K. Hata, R. Mochida, T. Oikawa, T. Kineri, Y. Satoh, and S. Iwatsuka, “Hybrid Optical Circulator Using Garnet–Quartz Composite Embedded in Planar Waveguides,” IEEE Photon. Technol. Lett. 16(10), 2269–2271 (2004).
[CrossRef]

Kivshar, Y. S.

A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, “One-way extraordinary optical transmission and nonreciprocal spoof plasmons,” Phys. Rev. Lett. 105(12), 126804 (2010).
[CrossRef] [PubMed]

A. B. Khanikaev, A. V. Baryshev, M. Inoue, and Y. S. Kivshar, “One-way electromagnetic Tamm states in magnetophotonic structures,” Appl. Phys. Lett. 95(1), 011101 (2009).
[CrossRef]

Krause, M.

Kubota, E.

N. Sugimoto, T. Shintaku, A. Tate, H. Terui, M. Shimokozono, E. Kubota, M. Ishii, and Y. Inoue, “Waveguide polarization-independent optical circulator,” IEEE Photon. Technol. Lett. 11(3), 355–357 (1999).
[CrossRef]

Kuzmenko, A. B.

I. Crassee, J. Levallois, A. L. Walter, M. Ostler, A. Bostwick, E. Rotenberg, T. Seyller, D. van der Marel, and A. B. Kuzmenko, “Giant Faraday rotation in single- and multilayer graphene,” Nat. Phys. 7(1), 48–51 (2011).
[CrossRef]

Levallois, J.

I. Crassee, J. Levallois, A. L. Walter, M. Ostler, A. Bostwick, E. Rotenberg, T. Seyller, D. van der Marel, and A. B. Kuzmenko, “Giant Faraday rotation in single- and multilayer graphene,” Nat. Phys. 7(1), 48–51 (2011).
[CrossRef]

Levy, M.

M. Levy, I. Ilic, R. Scarmozzino, R. Osgood, R. Wolfe, C. J. Gutierrez, and G. A. Prinz, “Thin-film-magnet magneto-optic waveguide isolator,” IEEE Photonics Technol. Lett. 5(2), 198–200 (1993).
[CrossRef]

Lin, Z.

Y. Poo, R. X. Wu, Z. Lin, Y. Yang, and C. T. Chan, “Experimental realization of self-guiding unidirectional electromagnetic edge states,” Phys. Rev. Lett. 106(9), 093903 (2011).
[CrossRef] [PubMed]

Liu, Q.

Lohmeyer, M.

M. Lohmeyer, M. Shamonin, and P. Hertel, “Integrated optical circulator based on radiatively coupled magneto-optic waveguides,” Opt. Eng. 36(3), 889 (1997).
[CrossRef]

Magdenko, L.

Mochida, R.

N. Hanashima, K. Hata, R. Mochida, T. Oikawa, T. Kineri, Y. Satoh, and S. Iwatsuka, “Hybrid Optical Circulator Using Garnet–Quartz Composite Embedded in Planar Waveguides,” IEEE Photon. Technol. Lett. 16(10), 2269–2271 (2004).
[CrossRef]

Mousavi, S. H.

A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, “One-way extraordinary optical transmission and nonreciprocal spoof plasmons,” Phys. Rev. Lett. 105(12), 126804 (2010).
[CrossRef] [PubMed]

Ohm, E.

E. Ohm, “A Broad-Band Microwave Circulator,” IRE Trans. Microwave Theor. Tech. 4(4), 210–217 (1956).
[CrossRef]

Oikawa, T.

N. Hanashima, K. Hata, R. Mochida, T. Oikawa, T. Kineri, Y. Satoh, and S. Iwatsuka, “Hybrid Optical Circulator Using Garnet–Quartz Composite Embedded in Planar Waveguides,” IEEE Photon. Technol. Lett. 16(10), 2269–2271 (2004).
[CrossRef]

Osgood, R.

M. Levy, I. Ilic, R. Scarmozzino, R. Osgood, R. Wolfe, C. J. Gutierrez, and G. A. Prinz, “Thin-film-magnet magneto-optic waveguide isolator,” IEEE Photonics Technol. Lett. 5(2), 198–200 (1993).
[CrossRef]

Ostler, M.

I. Crassee, J. Levallois, A. L. Walter, M. Ostler, A. Bostwick, E. Rotenberg, T. Seyller, D. van der Marel, and A. B. Kuzmenko, “Giant Faraday rotation in single- and multilayer graphene,” Nat. Phys. 7(1), 48–51 (2011).
[CrossRef]

Ouyang, Z.

Petrov, A.

Poo, Y.

Y. Poo, R. X. Wu, Z. Lin, Y. Yang, and C. T. Chan, “Experimental realization of self-guiding unidirectional electromagnetic edge states,” Phys. Rev. Lett. 106(9), 093903 (2011).
[CrossRef] [PubMed]

Potton, R. J.

R. J. Potton, “Reciprocity in optics,” Rep. Prog. Phys. 67(5), 717–754 (2004).
[CrossRef]

Prinz, G. A.

M. Levy, I. Ilic, R. Scarmozzino, R. Osgood, R. Wolfe, C. J. Gutierrez, and G. A. Prinz, “Thin-film-magnet magneto-optic waveguide isolator,” IEEE Photonics Technol. Lett. 5(2), 198–200 (1993).
[CrossRef]

Quinn, J.

K. Chiu and J. Quinn, “Magnetoplasma Surface Waves in Polar Semiconductors: Retardation Effects,” Phys. Rev. Lett. 29(9), 600–603 (1972).
[CrossRef]

Raghu, S.

F. D. Haldane and S. Raghu, “Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry,” Phys. Rev. Lett. 100(1), 013904 (2008).
[CrossRef] [PubMed]

Romero-Vivas, J.

Rotenberg, E.

I. Crassee, J. Levallois, A. L. Walter, M. Ostler, A. Bostwick, E. Rotenberg, T. Seyller, D. van der Marel, and A. B. Kuzmenko, “Giant Faraday rotation in single- and multilayer graphene,” Nat. Phys. 7(1), 48–51 (2011).
[CrossRef]

Satoh, Y.

N. Hanashima, K. Hata, R. Mochida, T. Oikawa, T. Kineri, Y. Satoh, and S. Iwatsuka, “Hybrid Optical Circulator Using Garnet–Quartz Composite Embedded in Planar Waveguides,” IEEE Photon. Technol. Lett. 16(10), 2269–2271 (2004).
[CrossRef]

Scarmozzino, R.

M. Levy, I. Ilic, R. Scarmozzino, R. Osgood, R. Wolfe, C. J. Gutierrez, and G. A. Prinz, “Thin-film-magnet magneto-optic waveguide isolator,” IEEE Photonics Technol. Lett. 5(2), 198–200 (1993).
[CrossRef]

Seyller, T.

I. Crassee, J. Levallois, A. L. Walter, M. Ostler, A. Bostwick, E. Rotenberg, T. Seyller, D. van der Marel, and A. B. Kuzmenko, “Giant Faraday rotation in single- and multilayer graphene,” Nat. Phys. 7(1), 48–51 (2011).
[CrossRef]

Shamonin, M.

M. Lohmeyer, M. Shamonin, and P. Hertel, “Integrated optical circulator based on radiatively coupled magneto-optic waveguides,” Opt. Eng. 36(3), 889 (1997).
[CrossRef]

Shimokozono, M.

N. Sugimoto, T. Shintaku, A. Tate, H. Terui, M. Shimokozono, E. Kubota, M. Ishii, and Y. Inoue, “Waveguide polarization-independent optical circulator,” IEEE Photon. Technol. Lett. 11(3), 355–357 (1999).
[CrossRef]

Shintaku, T.

N. Sugimoto, T. Shintaku, A. Tate, H. Terui, M. Shimokozono, E. Kubota, M. Ishii, and Y. Inoue, “Waveguide polarization-independent optical circulator,” IEEE Photon. Technol. Lett. 11(3), 355–357 (1999).
[CrossRef]

Shvets, G.

A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, “One-way extraordinary optical transmission and nonreciprocal spoof plasmons,” Phys. Rev. Lett. 105(12), 126804 (2010).
[CrossRef] [PubMed]

Smigaj, W.

Soljacic, M.

M. Jablan, H. Buljan, and M. Solja?i?, “Plasmonics in graphene at infrared frequencies,” Phys. Rev. B 80(24), 245435 (2009).
[CrossRef]

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljaci?, “Observation of unidirectional backscattering-immune topological electromagnetic states,” Nature 461(7265), 772–775 (2009).
[CrossRef] [PubMed]

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljaci?, “Reflection-free one-way edge modes in a gyromagnetic photonic crystal,” Phys. Rev. Lett. 100(1), 013905 (2008).
[CrossRef] [PubMed]

Sugimoto, N.

N. Sugimoto, T. Shintaku, A. Tate, H. Terui, M. Shimokozono, E. Kubota, M. Ishii, and Y. Inoue, “Waveguide polarization-independent optical circulator,” IEEE Photon. Technol. Lett. 11(3), 355–357 (1999).
[CrossRef]

Takeda, H.

H. Takeda and S. John, “Compact optical one-way waveguide isolators for photonic-band-gap microchips,” Phys. Rev. A 78(2), 023804 (2008).
[CrossRef]

Tate, A.

N. Sugimoto, T. Shintaku, A. Tate, H. Terui, M. Shimokozono, E. Kubota, M. Ishii, and Y. Inoue, “Waveguide polarization-independent optical circulator,” IEEE Photon. Technol. Lett. 11(3), 355–357 (1999).
[CrossRef]

Terui, H.

N. Sugimoto, T. Shintaku, A. Tate, H. Terui, M. Shimokozono, E. Kubota, M. Ishii, and Y. Inoue, “Waveguide polarization-independent optical circulator,” IEEE Photon. Technol. Lett. 11(3), 355–357 (1999).
[CrossRef]

Tobinaga, K.

K. Yayoi, K. Tobinaga, Y. Kaneko, A. V. Baryshev, and M. Inoue, “Optical waveguide circulators based on two-dimensional magneto photonic crystals: Numerical simulation for structure simplification and experimental verification,” J. Appl. Phys. 109, 07B750 (2011).

van der Marel, D.

I. Crassee, J. Levallois, A. L. Walter, M. Ostler, A. Bostwick, E. Rotenberg, T. Seyller, D. van der Marel, and A. B. Kuzmenko, “Giant Faraday rotation in single- and multilayer graphene,” Nat. Phys. 7(1), 48–51 (2011).
[CrossRef]

Vanwolleghem, M.

Veronis, G.

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100(2), 023902 (2008).
[CrossRef] [PubMed]

Wallis, R.

R. Wallis, J. Brion, E. Burstein, and A. Hartstein, “Theory of surface polaritons in anisotropic dielectric media with application to surface magnetoplasmons in semiconductors,” Phys. Rev. B 9(8), 3424–3437 (1974).
[CrossRef]

Walter, A. L.

I. Crassee, J. Levallois, A. L. Walter, M. Ostler, A. Bostwick, E. Rotenberg, T. Seyller, D. van der Marel, and A. B. Kuzmenko, “Giant Faraday rotation in single- and multilayer graphene,” Nat. Phys. 7(1), 48–51 (2011).
[CrossRef]

Wang, Q.

Wang, Z.

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljaci?, “Observation of unidirectional backscattering-immune topological electromagnetic states,” Nature 461(7265), 772–775 (2009).
[CrossRef] [PubMed]

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100(2), 023902 (2008).
[CrossRef] [PubMed]

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljaci?, “Reflection-free one-way edge modes in a gyromagnetic photonic crystal,” Phys. Rev. Lett. 100(1), 013905 (2008).
[CrossRef] [PubMed]

Z. Wang and S. Fan, “Suppressing the effect of disorders using time-reversal symmetry breaking in magneto-optical photonic crystals: An illustration with a four-port circulator,” Photonics Nanostruct. Fundam. Appl. 4, 132–140 (2006).

Z. Wang and S. Fan, “Optical circulators in two-dimensional magneto-optical photonic crystals,” Opt. Lett. 30(15), 1989–1991 (2005).
[CrossRef] [PubMed]

Z. Wang and S. Fan, “Magneto-optical defects in two-dimensional photonic crystals,” Appl. Phys. B 81(2-3), 369–375 (2005).
[CrossRef]

Wolfe, R.

M. Levy, I. Ilic, R. Scarmozzino, R. Osgood, R. Wolfe, C. J. Gutierrez, and G. A. Prinz, “Thin-film-magnet magneto-optic waveguide isolator,” IEEE Photonics Technol. Lett. 5(2), 198–200 (1993).
[CrossRef]

Wu, R. X.

Y. Poo, R. X. Wu, Z. Lin, Y. Yang, and C. T. Chan, “Experimental realization of self-guiding unidirectional electromagnetic edge states,” Phys. Rev. Lett. 106(9), 093903 (2011).
[CrossRef] [PubMed]

Yang, Y.

Y. Poo, R. X. Wu, Z. Lin, Y. Yang, and C. T. Chan, “Experimental realization of self-guiding unidirectional electromagnetic edge states,” Phys. Rev. Lett. 106(9), 093903 (2011).
[CrossRef] [PubMed]

Yariv, A.

A. Yariv, “Coupled-mode theory for guided-wave optics,” IEEE J. Quantum Electron. 9(9), 919–933 (1973).
[CrossRef]

Yayoi, K.

K. Yayoi, K. Tobinaga, Y. Kaneko, A. V. Baryshev, and M. Inoue, “Optical waveguide circulators based on two-dimensional magneto photonic crystals: Numerical simulation for structure simplification and experimental verification,” J. Appl. Phys. 109, 07B750 (2011).

Yu, Z.

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100(2), 023902 (2008).
[CrossRef] [PubMed]

Zhu, H.

Appl. Phys. B (1)

Z. Wang and S. Fan, “Magneto-optical defects in two-dimensional photonic crystals,” Appl. Phys. B 81(2-3), 369–375 (2005).
[CrossRef]

Appl. Phys. Lett. (1)

A. B. Khanikaev, A. V. Baryshev, M. Inoue, and Y. S. Kivshar, “One-way electromagnetic Tamm states in magnetophotonic structures,” Appl. Phys. Lett. 95(1), 011101 (2009).
[CrossRef]

IEEE J. Quantum Electron. (1)

A. Yariv, “Coupled-mode theory for guided-wave optics,” IEEE J. Quantum Electron. 9(9), 919–933 (1973).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

N. Sugimoto, T. Shintaku, A. Tate, H. Terui, M. Shimokozono, E. Kubota, M. Ishii, and Y. Inoue, “Waveguide polarization-independent optical circulator,” IEEE Photon. Technol. Lett. 11(3), 355–357 (1999).
[CrossRef]

N. Hanashima, K. Hata, R. Mochida, T. Oikawa, T. Kineri, Y. Satoh, and S. Iwatsuka, “Hybrid Optical Circulator Using Garnet–Quartz Composite Embedded in Planar Waveguides,” IEEE Photon. Technol. Lett. 16(10), 2269–2271 (2004).
[CrossRef]

IEEE Photonics Technol. Lett. (1)

M. Levy, I. Ilic, R. Scarmozzino, R. Osgood, R. Wolfe, C. J. Gutierrez, and G. A. Prinz, “Thin-film-magnet magneto-optic waveguide isolator,” IEEE Photonics Technol. Lett. 5(2), 198–200 (1993).
[CrossRef]

IRE Trans. Microwave Theor. Tech. (1)

E. Ohm, “A Broad-Band Microwave Circulator,” IRE Trans. Microwave Theor. Tech. 4(4), 210–217 (1956).
[CrossRef]

J. Appl. Phys. (2)

M. Inoue, K. Arai, T. Fujii, and M. Abe, “Magneto-optical properties of one-dimensional photonic crystals composed of magnetic and dielectric layers,” J. Appl. Phys. 83(11), 6768–6770 (1998).
[CrossRef]

K. Yayoi, K. Tobinaga, Y. Kaneko, A. V. Baryshev, and M. Inoue, “Optical waveguide circulators based on two-dimensional magneto photonic crystals: Numerical simulation for structure simplification and experimental verification,” J. Appl. Phys. 109, 07B750 (2011).

J. Lightwave Technol. (1)

J. Opt. Soc. Am. B (1)

Nat. Phys. (1)

I. Crassee, J. Levallois, A. L. Walter, M. Ostler, A. Bostwick, E. Rotenberg, T. Seyller, D. van der Marel, and A. B. Kuzmenko, “Giant Faraday rotation in single- and multilayer graphene,” Nat. Phys. 7(1), 48–51 (2011).
[CrossRef]

Nature (1)

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljaci?, “Observation of unidirectional backscattering-immune topological electromagnetic states,” Nature 461(7265), 772–775 (2009).
[CrossRef] [PubMed]

Opt. Eng. (1)

M. Lohmeyer, M. Shamonin, and P. Hertel, “Integrated optical circulator based on radiatively coupled magneto-optic waveguides,” Opt. Eng. 36(3), 889 (1997).
[CrossRef]

Opt. Lett. (3)

Photonics Nanostruct. Fundam. Appl. (1)

Z. Wang and S. Fan, “Suppressing the effect of disorders using time-reversal symmetry breaking in magneto-optical photonic crystals: An illustration with a four-port circulator,” Photonics Nanostruct. Fundam. Appl. 4, 132–140 (2006).

Phys. Rev. A (1)

H. Takeda and S. John, “Compact optical one-way waveguide isolators for photonic-band-gap microchips,” Phys. Rev. A 78(2), 023804 (2008).
[CrossRef]

Phys. Rev. B (2)

M. Jablan, H. Buljan, and M. Solja?i?, “Plasmonics in graphene at infrared frequencies,” Phys. Rev. B 80(24), 245435 (2009).
[CrossRef]

R. Wallis, J. Brion, E. Burstein, and A. Hartstein, “Theory of surface polaritons in anisotropic dielectric media with application to surface magnetoplasmons in semiconductors,” Phys. Rev. B 9(8), 3424–3437 (1974).
[CrossRef]

Phys. Rev. Lett. (6)

Y. Poo, R. X. Wu, Z. Lin, Y. Yang, and C. T. Chan, “Experimental realization of self-guiding unidirectional electromagnetic edge states,” Phys. Rev. Lett. 106(9), 093903 (2011).
[CrossRef] [PubMed]

K. Chiu and J. Quinn, “Magnetoplasma Surface Waves in Polar Semiconductors: Retardation Effects,” Phys. Rev. Lett. 29(9), 600–603 (1972).
[CrossRef]

A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, “One-way extraordinary optical transmission and nonreciprocal spoof plasmons,” Phys. Rev. Lett. 105(12), 126804 (2010).
[CrossRef] [PubMed]

F. D. Haldane and S. Raghu, “Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry,” Phys. Rev. Lett. 100(1), 013904 (2008).
[CrossRef] [PubMed]

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljaci?, “Reflection-free one-way edge modes in a gyromagnetic photonic crystal,” Phys. Rev. Lett. 100(1), 013905 (2008).
[CrossRef] [PubMed]

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100(2), 023902 (2008).
[CrossRef] [PubMed]

Rep. Prog. Phys. (1)

R. J. Potton, “Reciprocity in optics,” Rep. Prog. Phys. 67(5), 717–754 (2004).
[CrossRef]

Other (5)

J. Zheng, Optical Frequency-modulated Continuous-wave (FMCW) Interferometry (Springer, 2005).

J. Helszajn, Nonreciprocal Microwave Junctions and Circulators (Wiley, 1975).

D. M. Pozar, “Ferrite Circulators,” in Microwave Engineering, 3rd ed. (John Wiley & Sons, Inc., 2005), pp. 476–481.

J. Fujita, “Hybrid-integrated optical isolators and circulators,” in Proceedings Of SPIE (SPIE, 2002), Vol. 4652, pp. 77–85.

H. A. Haus, Waves and Fields In Optoelectronics (Prentice-Hall, 1984), Vol. 32.

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