Rigorous approach on diffracted
magneto-optical effects from polar and
longitudinal gyrotropic gratings

doi:10.1364/OE.16.016825

Rigorous approach on diffracted magneto-optical effects from polar and longitudinal gyrotropic gratings

Min Hyung Cho, Yuehui Lu, Joo Yull Rhee, and Young Pak Lee »View Author Affiliations

Optics Express, Vol. 16, Issue 21, pp. 16825-16839 (2008)
http://dx.doi.org/10.1364/OE.16.016825

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Abstract

The rigorous coupled-wave analysis with Airy-like internal-reflection series and Fourier-factorization for the calculation of the diffracted magneto-optical (MO) effects from polar and longitudinally magnetized gyrotropic gratings are fully described. For both gratings the numerical and experimental results are in good agreement, and the enhancement of Kerr rotation in higher orders compared to that of the 0th order diffraction is calculated as a function of grating depth. At last, this numerical method can be applied to many other applications such as extraordinary optical transmission from metallic gratings either through surface plasmon or cavity mode, and MO hysteresis loops.

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Diffraction and Gratings

History
Original Manuscript: July 11, 2008
Revised Manuscript: September 25, 2008
Manuscript Accepted: October 3, 2008
Published: October 7, 2008

Citation
Min Hyung Cho, Yuehui Lu, Joo Yull Rhee, and Young Pak Lee, "Rigorous approach on diffracted magneto-optical effects from polar and longitudinal gyrotropic gratings," Opt. Express 16, 16825-16839 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-21-16825

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References

A. Zvezdin and V. Kotov, Modern magneto-optics and magneto-optical materials (IOP, Bristol, 1997). [CrossRef]
T. McDaniel, "Magneto-optical data storage," Comm. of the ACM 43, 57-63 (2000). [CrossRef]
M. Inoue, K. Arai, T. Fujii, and M. Abe, "One-dimensional magnetophotonic crystals," J. Appl. Phys. 85, 5768-5770 (1999). [CrossRef]
J. B. Kim, G. J. Lee, Y. P. Lee, J. Y. Rhee, K. W. Kim, and C. S. Yoon, "One-dimensional magnetic grating structure made easy," Appl. Phys. Lett. 89, 151111 (2006). [CrossRef]
J. B. Kim, G. J. Lee, Y. P. Lee, J. Y. Rhee, and C. S. Yoon, "Enhancement of magneto-optical properties of magnetic grating," J. Appl. Phys. 101, 09C518 (2007). [CrossRef]
Y. H. Lu, M. H. Cho, J. B. Kim, G. J. Lee, Y. P. Lee, and J. Y. Rhee, "Magneto-optical enhancement through gyrotropic gratings," Opt. Express 16, 5378-5384 (2008). [CrossRef] [PubMed]
M. G. Moharam and T. G. Gaylord, "Rigorous coupled-wave analysis of planar-grating diffraction," J. Opt. Soc. Am. 71, 811-818 (1981). [CrossRef]
K. Rokushima, R. Antos, J. Mistrik, S. Visnovsky, and T. Yamaguchi, "Optics of anisotropic nanostructures," Czech. J. Phys. 56, 665-764 (2006). [CrossRef]
R. Antos, J. Postora, J. Mistrik, T. Yamaguchi, S. Yamaguchi, M. Horie, S. Visnovsky, and Y. Otani, "Convergence properties of critical dimension measurements by spectroscopic ellipsometry on gratings made of various materials," J. Appl. Phys. 100, 054906 (2006). [CrossRef]
R. Antos, J. Mistrik, T. Yamaguchi, S. Visnovsky, S. O. Demokrritov, and B. Hillerbrands, "Evidence of native oxides on the capping and substrate of Permalloy gratings by magneto-optical spectroscopy in the zeroth- and first diffraction orders," Appl. Phys. Lett. 86, 231101 (2005). [CrossRef]
R. Antos, J. Mistrik, T. Yamaguchi, M. Veis, E. Liskova S. Visnovsky, J. Pistora, B. Hillerbrands, S. O. Demokrritov, T. Kimura and, Y. Otani "Magneto-optical spectroscopic scatterometry for analyzing patterned magnetic nanostructures," J. Magn. Soc. Jpn. 30, 630-636 (2006). [CrossRef]
L. Li, "Use of Fourier series in the analysis of discontinuous periodic structures," J. Opt. Soc. Am. 13, 1870-1876 (1996). [CrossRef]
A. B. Khanikaev, A. V. Baryshev, A. A. Fedyanin, A. B. Granovsky, and M. Inoue, "Anomalous Faraday effect of a system with extraordinary optical transmittance," Opt. Express 15, 6612-6622 (2007). [CrossRef] [PubMed]
V. I. Belotelov, L. L. Doskolovich and A. K. Zvezdin, "Extraordinary magneto-optical effects and transmission through metal-dielectric plasmonic systems," Phys. Rev. Lett. 98, 077401 (2007). [CrossRef] [PubMed]
M. J. Donahue and D. G. Porter, OOMMF User�??s Guide, Version 1.0, Interagency Report NISTIR 6376, (NIST, Gaithersburg, MD, 1999)
A. Westphalen, M. S. Lee, A. Remhof, and H. Zabel, "Vector and Bragg magneto-optical Kerr effect for the analysis if nanostructured magnetic arrays," Rev. Sci. Instrum. 78, 121301 (2007). [CrossRef]
H. Kato, T. Matsushita, A. Takayama, M. Egawa, K. Nishimura, and M. Inoue "Theoretical analysis of optical and magneto-optical properties of one-dimensional magnetophotonic crystals," J. Appl. Phys. 93, 3906-3911 (2003). [CrossRef]
D. F. Edwards, "Silicon (Si)," in Handbook of optical constants of solids, E. D. Palik, eds. (Academic, New York, 1998); H. R. Philipp, "Silicon dioxide (SiO2) (glass)," ibid.
P. Hones, M. Diserens, and F. Levy, "Characterization of sputter-deposited chromium oxide thin films," Surf. Coat. Technol. 120, 277-283 (1999). [CrossRef]
G. Neuber, P. Rauer, J. Kunze, T. Korn, C. Pels, G. Meier, U. Merkt, J. Backstrom, and M. Rubhausen, "Temperature-dependent spectral generalized magneto-optical ellipsometry," Appl. Phys. Lett. 83, 4509-4511 (2003). [CrossRef]
T. Shimitte, O. Schemberg, K. Westerholt, H. Zabel, K. Sch¨adler, and U. Kunze "Magneto-optical Kerr effects of ferromagnetic Ni-graings," J. Appl. Phys. 87, 5630-5632 (2000). [CrossRef]

Abe, M.
Antos, R.
Arai, K.
Backstrom, J.
Baryshev, A. V.
Belotelov, V. I.
Cho, M. H.
Demokrritov, S. O.
Diserens, M.
Doskolovich, L. L.
Egawa, M.
Fedyanin, A. A.
Fujii, T.
Gaylord, T. G.
Granovsky, A. B.
Hillerbrands, B.
Hones, P.
Horie, M.
Inoue, M.
Kato, H.
Khanikaev, A. B.
Kim, J. B.
Kim, K. W.
Korn, T.
Kunze, J.
Kunze, U.
Lee, G. J.
Lee, M. S.
Lee, Y. P.
Levy, F.
Li, L.
Lu, Y. H.
Matsushita, T.
Meier, G.
Merkt, U.
Mistrik, J.
Moharam, M. G.
Neuber, G.
Nishimura, K.
Otani, Y.
Pels, C.
Postora, J.
Rauer, P.
Remhof, A.
Rhee, J. Y.
Rokushima, K.
Rubhausen, M.
Sch¨adler, K.
Schemberg, O.
Shimitte, T.
Takayama, A.
Veis, M.
Visnovsky, S.
Westerholt, K.
Westphalen, A.
Yamaguchi, S.
Yamaguchi, T.
Yoon, C. S.
Zabel, H.
Zvezdin, A. K.

Appl. Phys. Lett.

J. B. Kim, G. J. Lee, Y. P. Lee, J. Y. Rhee, K. W. Kim, and C. S. Yoon, "One-dimensional magnetic grating structure made easy," Appl. Phys. Lett. 89, 151111 (2006). [CrossRef]
R. Antos, J. Mistrik, T. Yamaguchi, S. Visnovsky, S. O. Demokrritov, and B. Hillerbrands, "Evidence of native oxides on the capping and substrate of Permalloy gratings by magneto-optical spectroscopy in the zeroth- and first diffraction orders," Appl. Phys. Lett. 86, 231101 (2005). [CrossRef]
G. Neuber, P. Rauer, J. Kunze, T. Korn, C. Pels, G. Meier, U. Merkt, J. Backstrom, and M. Rubhausen, "Temperature-dependent spectral generalized magneto-optical ellipsometry," Appl. Phys. Lett. 83, 4509-4511 (2003). [CrossRef]

Czech. J. Phys.

K. Rokushima, R. Antos, J. Mistrik, S. Visnovsky, and T. Yamaguchi, "Optics of anisotropic nanostructures," Czech. J. Phys. 56, 665-764 (2006). [CrossRef]

J. Appl. Phys.

R. Antos, J. Postora, J. Mistrik, T. Yamaguchi, S. Yamaguchi, M. Horie, S. Visnovsky, and Y. Otani, "Convergence properties of critical dimension measurements by spectroscopic ellipsometry on gratings made of various materials," J. Appl. Phys. 100, 054906 (2006). [CrossRef]
M. Inoue, K. Arai, T. Fujii, and M. Abe, "One-dimensional magnetophotonic crystals," J. Appl. Phys. 85, 5768-5770 (1999). [CrossRef]
H. Kato, T. Matsushita, A. Takayama, M. Egawa, K. Nishimura, and M. Inoue "Theoretical analysis of optical and magneto-optical properties of one-dimensional magnetophotonic crystals," J. Appl. Phys. 93, 3906-3911 (2003). [CrossRef]
T. Shimitte, O. Schemberg, K. Westerholt, H. Zabel, K. Sch¨adler, and U. Kunze "Magneto-optical Kerr effects of ferromagnetic Ni-graings," J. Appl. Phys. 87, 5630-5632 (2000). [CrossRef]

J. Magn. Soc. Jpn.

R. Antos, J. Mistrik, T. Yamaguchi, M. Veis, E. Liskova S. Visnovsky, J. Pistora, B. Hillerbrands, S. O. Demokrritov, T. Kimura and, Y. Otani "Magneto-optical spectroscopic scatterometry for analyzing patterned magnetic nanostructures," J. Magn. Soc. Jpn. 30, 630-636 (2006). [CrossRef]

J. Opt. Soc. Am.

L. Li, "Use of Fourier series in the analysis of discontinuous periodic structures," J. Opt. Soc. Am. 13, 1870-1876 (1996). [CrossRef]
M. G. Moharam and T. G. Gaylord, "Rigorous coupled-wave analysis of planar-grating diffraction," J. Opt. Soc. Am. 71, 811-818 (1981). [CrossRef]

Opt. Express

Phys. Rev. Lett.

V. I. Belotelov, L. L. Doskolovich and A. K. Zvezdin, "Extraordinary magneto-optical effects and transmission through metal-dielectric plasmonic systems," Phys. Rev. Lett. 98, 077401 (2007). [CrossRef] [PubMed]

Rev. Sci. Instrum.

A. Westphalen, M. S. Lee, A. Remhof, and H. Zabel, "Vector and Bragg magneto-optical Kerr effect for the analysis if nanostructured magnetic arrays," Rev. Sci. Instrum. 78, 121301 (2007). [CrossRef]

Surf. Coat. Technol.

P. Hones, M. Diserens, and F. Levy, "Characterization of sputter-deposited chromium oxide thin films," Surf. Coat. Technol. 120, 277-283 (1999). [CrossRef]

Other

D. F. Edwards, "Silicon (Si)," in Handbook of optical constants of solids, E. D. Palik, eds. (Academic, New York, 1998); H. R. Philipp, "Silicon dioxide (SiO2) (glass)," ibid.
M. J. Donahue and D. G. Porter, OOMMF User�??s Guide, Version 1.0, Interagency Report NISTIR 6376, (NIST, Gaithersburg, MD, 1999)
J. B. Kim, G. J. Lee, Y. P. Lee, J. Y. Rhee, and C. S. Yoon, "Enhancement of magneto-optical properties of magnetic grating," J. Appl. Phys. 101, 09C518 (2007). [CrossRef]
A. Zvezdin and V. Kotov, Modern magneto-optics and magneto-optical materials (IOP, Bristol, 1997). [CrossRef]
T. McDaniel, "Magneto-optical data storage," Comm. of the ACM 43, 57-63 (2000). [CrossRef]

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