Low-symmetry magnetic photonic crystals for nonreciprocal and unidirectional devices

doi:10.1364/OE.17.005265

Low-symmetry magnetic photonic crystals for nonreciprocal and unidirectional devices

Alexander B. Khanikaev and M. J. Steel »View Author Affiliations

Optics Express, Vol. 17, Issue 7, pp. 5265-5272 (2009)
http://dx.doi.org/10.1364/OE.17.005265

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Abstract
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References (14)
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Abstract

We develop an exact theory for light propagation in transversely-magnetized low-symmetry magnetic photonic crystals. We investigate the nature of nonreciprocal dispersion and unidirectionality in these systems and show that it is associated with boundary effects rather than propagation. We calculate the nonreciprocal response of finite structures and propose an asymmetric magneto-optical cavity as a practical building block for one-way optical components.

OCIS Codes
(230.3810) Optical devices : Magneto-optic systems
(230.3990) Optical devices : Micro-optical devices
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:
Photonic Crystals

History
Original Manuscript: January 21, 2009
Revised Manuscript: March 8, 2009
Manuscript Accepted: March 9, 2009
Published: March 18, 2009

Citation
Alexander B. Khanikaev and M. J. Steel, "Low-symmetry magnetic photonic crystals for nonreciprocal and unidirectional devices," Opt. Express 17, 5265-5272 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-7-5265

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References

MInoue, R. Fujikawa, A. Baryshev, A. Khanikaev, P. B. Lim, H. Uchida, O. Aktsipetrov, A. Fedyanin, T. Murzina and A. Granovsky, "Magnetophotonic crystals," J. Phys. D: Appl. Phys. 39, R151-R161 (2006). [CrossRef]
Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljacic, "Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal," Phys. Rev. Lett. 100, 01390501-01390504 (2008). [CrossRef]
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, 02390201-02390204 (2008). [CrossRef]
Z. Yu, and Z. Wang, and S. Fan, "One-way total reflection with one-dimensional magneto-optical photonic crystals," Appl. Phys. Lett. 90, 121133:1-3 (2007). [CrossRef]
V. Dmitriev, "Symmetry properties of 2D magnetic photonic crystals with square lattice," Eur. Phys. J. Appl. Phys. 32, 159-165 (2005). [CrossRef]
A. Figotin and I. Vitebskiy, "Nonreciprocal magnetic photonic crystals," Phys. Rev. E 63, 066609:1-17 (2001). [CrossRef]
A. K. Zvezdin, V. A. Kotov, Modern Magnetooptics and Magnetooptical Materials, (Institute of Physics Pub., Bristol, 1997). [CrossRef]
P. Yeh, Optical Waves in Layered Media, (Wiley Interscience, New York, 1988).
A. A. Jalali and M. Levy, "Local normal-mode coupling and energy band splitting in elliptically birefringent one-dimensional magnetophotonic crystals," J. Opt. Soc. Am. B 25, 119-125, (2008). [CrossRef]
A. B. Khanikaev, A. B. Baryshev, P. B. Lim, H. Uchida, M. Inoue, A. G. Zhdanov, A. A. Fedyanin, A. I. Maydykovskiy, and O. A. Aktsipetrov, "Nonlinear Verdet law in magnetophotonic crystals: Interrelation between Faraday and Borrmann effects," Phys. Rev. B 78, 193102:1-4 (2008). [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, 6768-6770 (1998); [CrossRef]
M. Inoue, K. Arai, T. Fujii and M. Abe, "One-dimensional magnetophotonic crystals," J. Appl. Phys. 85, 5768-5770 (1999). [CrossRef]
Z. Wang and S. Fan, "Optical circulators in two-dimensional magneto-optical photonic crystals," Opt. Lett. 30, 1989-1991 (2005). [CrossRef] [PubMed]
Z. Wang and S. Fan, "Magneto-optical defects in two-dimensional photonic crystals," Appl. Phys. B: Lasers Opt. 81, 369-375 (2005). [CrossRef]

Abe, M.
Aktsipetrov, O. A.
Arai, K.
Baryshev, A. B.
Chong, Y. D.
Dmitriev, V.
Fan, S.
Fedyanin, A. A.
Figotin, A.
Fujii, T.
Inoue, M.
Jalali, A. A.
Joannopoulos, J. D.
Khanikaev, A. B.
Levy, M.
Lim, P. B.
Maydykovskiy, A. I.
Soljacic, M.
Uchida, H.
Veronis, G.
Vitebskiy, I.
Wang, Z.
Yu, Z.
Zhdanov, A. G.

Appl. Phys. B: Lasers Opt.

Z. Wang and S. Fan, "Magneto-optical defects in two-dimensional photonic crystals," Appl. Phys. B: Lasers Opt. 81, 369-375 (2005). [CrossRef]

Appl. Phys. Lett.

Z. Yu, and Z. Wang, and S. Fan, "One-way total reflection with one-dimensional magneto-optical photonic crystals," Appl. Phys. Lett. 90, 121133:1-3 (2007). [CrossRef]

Eur. Phys. J. Appl. Phys.

V. Dmitriev, "Symmetry properties of 2D magnetic photonic crystals with square lattice," Eur. Phys. J. Appl. Phys. 32, 159-165 (2005). [CrossRef]

J. Appl. Phys.

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, 6768-6770 (1998); [CrossRef]
M. Inoue, K. Arai, T. Fujii and M. Abe, "One-dimensional magnetophotonic crystals," J. Appl. Phys. 85, 5768-5770 (1999). [CrossRef]

J. Opt. Soc. Am. B

A. A. Jalali and M. Levy, "Local normal-mode coupling and energy band splitting in elliptically birefringent one-dimensional magnetophotonic crystals," J. Opt. Soc. Am. B 25, 119-125, (2008). [CrossRef]

J. Phys. D: Appl. Phys.

MInoue, R. Fujikawa, A. Baryshev, A. Khanikaev, P. B. Lim, H. Uchida, O. Aktsipetrov, A. Fedyanin, T. Murzina and A. Granovsky, "Magnetophotonic crystals," J. Phys. D: Appl. Phys. 39, R151-R161 (2006). [CrossRef]

Opt. Lett.

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

Phys. Rev. B

A. B. Khanikaev, A. B. Baryshev, P. B. Lim, H. Uchida, M. Inoue, A. G. Zhdanov, A. A. Fedyanin, A. I. Maydykovskiy, and O. A. Aktsipetrov, "Nonlinear Verdet law in magnetophotonic crystals: Interrelation between Faraday and Borrmann effects," Phys. Rev. B 78, 193102:1-4 (2008). [CrossRef]

Phys. Rev. E

A. Figotin and I. Vitebskiy, "Nonreciprocal magnetic photonic crystals," Phys. Rev. E 63, 066609:1-17 (2001). [CrossRef]

Phys. Rev. Lett.

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljacic, "Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal," Phys. Rev. Lett. 100, 01390501-01390504 (2008). [CrossRef]
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, 02390201-02390204 (2008). [CrossRef]

Other

A. K. Zvezdin, V. A. Kotov, Modern Magnetooptics and Magnetooptical Materials, (Institute of Physics Pub., Bristol, 1997). [CrossRef]
P. Yeh, Optical Waves in Layered Media, (Wiley Interscience, New York, 1988).

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