Abstract

The new 4 × 4 matrix method described by Lin-Chung and Teitler [ P. J. Lin-Chung S. Teitler , J. Opt. Soc. Am. A1, 703 ( 1984)] is used to study the optics of multilayer magnetooptic recording media. It is demonstrated that the method is capable of handling very complicated optical multilayer structures. For a quadrilayer magnetooptic recording system consisting of an overcoat layer, a magnetic layer, an intermediate dielectric layer, and a reflector, the readout of the system is optimized against the thickness of the overcoat and intermediate layers. As well, cases of oblique angle of incidence, anisotropy in the nonmagnetic part of the dielectric constants, and misalignment of the magnetization are treated.

© 1988 Optical Society of America

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  1. G. A. N. Connell, “Interference Enhanced Kerr Spectroscopy for Very Thin Absorbing Films,” Appl. Phys. Lett. 40, 213 (1982).
    [CrossRef]
  2. K. Nakamura, T. Asaka, S. Asari, Y. Ota, A. Itoh, “Enhancement of Kerr Rotation with Amorphous Si Film,” IEEE Trans. Magn. MAG-21, 1654 (1985).
    [CrossRef]
  3. M. Mansuripur, G. A. N. Connell, J. W. Goodman, “Signal and Noise in Magneto-Optical Readout,” J. Appl. Phys. 53, 4485 (1982).
    [CrossRef]
  4. O. S. Heavens, Optical Properties of Thin Solid Films (Dover, New York, 1965).
  5. R. Gamble, P. H. Lissberger, M. R. Parker, “A Simple Analysis for the Optimization of the Normal Polar Magneto-optical Kerr Effect in Multilayer Coatings Containing a Magnetic Film,” IEEE Trans. Magn. MAG-21, 1651 (1985).
    [CrossRef]
  6. D. J. Smet, “Generalized Ellipsometry and the 4 × 4 Matrix Formalism,” Surf. Sci. 56, 293 (1976).
    [CrossRef]
  7. J. Kranz, C. Schrodter, “Ellipsometry on Magnetooptic Thin Film Multilayer Systems,” Appl. Phys. B 34, 139 (1984).
    [CrossRef]
  8. S. Visnovsky, “Magneto-optical Polar Kerr Effect and Birefringence in Magnetic Crystals of Orthorhombic Symmetry,” Czech. J. Phys. B 34, 155 (1984).
    [CrossRef]
  9. G. J. Sprokel, “Reflectivity, Rotation, and Ellipticity of Magnetooptic Film Structures,” Appl. Opt. 23, 3983 (1984).
    [CrossRef] [PubMed]
  10. D. O. Smith, “Magneto-Optical Scattering from Multilayer Magnetic and Dielectric Films,” Opt. Acta 12, 13 (1965).
    [CrossRef]
  11. D. O. Smith, “Optical Scattering from Cubic Electro-optical Films,” Opt. Acta 13, 195 (1966).
    [CrossRef]
  12. D. W. Berreman, “4 × 4-Matrix Formulation for Anisotropic Media,” J. Opt. Soc. Am. 62, 502 (1972).
    [CrossRef]
  13. P. Yeh, “Optics of Anisotropic Layered Media: A New 4 × 4 Matrix Algebra,” Surf. Sci. 96, 41 (1980).
    [CrossRef]
  14. P. J. Lin-Chung, S. Teitler, “4 × 4 Matrix Formalisms for Optics in Stratified Anisotropic Media,” J. Opt. Soc. Am. A 1, 703 (1984).
    [CrossRef]
  15. L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, New York, 1960).
  16. A. H. Lettington, “Optical Properties and Fermi Surfaces of Zinc,” in Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed. (North-Holland, Amsterdam, 1966).
  17. D. Keay, P. H. Lissberger, “Longitudinal Kerr Magnetooptic Effect in Multilayer Structures of Dielectric and Magnetic Films,” Opt. Acta 15, 373 (1968).
    [CrossRef]

1985 (2)

K. Nakamura, T. Asaka, S. Asari, Y. Ota, A. Itoh, “Enhancement of Kerr Rotation with Amorphous Si Film,” IEEE Trans. Magn. MAG-21, 1654 (1985).
[CrossRef]

R. Gamble, P. H. Lissberger, M. R. Parker, “A Simple Analysis for the Optimization of the Normal Polar Magneto-optical Kerr Effect in Multilayer Coatings Containing a Magnetic Film,” IEEE Trans. Magn. MAG-21, 1651 (1985).
[CrossRef]

1984 (4)

J. Kranz, C. Schrodter, “Ellipsometry on Magnetooptic Thin Film Multilayer Systems,” Appl. Phys. B 34, 139 (1984).
[CrossRef]

S. Visnovsky, “Magneto-optical Polar Kerr Effect and Birefringence in Magnetic Crystals of Orthorhombic Symmetry,” Czech. J. Phys. B 34, 155 (1984).
[CrossRef]

P. J. Lin-Chung, S. Teitler, “4 × 4 Matrix Formalisms for Optics in Stratified Anisotropic Media,” J. Opt. Soc. Am. A 1, 703 (1984).
[CrossRef]

G. J. Sprokel, “Reflectivity, Rotation, and Ellipticity of Magnetooptic Film Structures,” Appl. Opt. 23, 3983 (1984).
[CrossRef] [PubMed]

1982 (2)

G. A. N. Connell, “Interference Enhanced Kerr Spectroscopy for Very Thin Absorbing Films,” Appl. Phys. Lett. 40, 213 (1982).
[CrossRef]

M. Mansuripur, G. A. N. Connell, J. W. Goodman, “Signal and Noise in Magneto-Optical Readout,” J. Appl. Phys. 53, 4485 (1982).
[CrossRef]

1980 (1)

P. Yeh, “Optics of Anisotropic Layered Media: A New 4 × 4 Matrix Algebra,” Surf. Sci. 96, 41 (1980).
[CrossRef]

1976 (1)

D. J. Smet, “Generalized Ellipsometry and the 4 × 4 Matrix Formalism,” Surf. Sci. 56, 293 (1976).
[CrossRef]

1972 (1)

1968 (1)

D. Keay, P. H. Lissberger, “Longitudinal Kerr Magnetooptic Effect in Multilayer Structures of Dielectric and Magnetic Films,” Opt. Acta 15, 373 (1968).
[CrossRef]

1966 (1)

D. O. Smith, “Optical Scattering from Cubic Electro-optical Films,” Opt. Acta 13, 195 (1966).
[CrossRef]

1965 (1)

D. O. Smith, “Magneto-Optical Scattering from Multilayer Magnetic and Dielectric Films,” Opt. Acta 12, 13 (1965).
[CrossRef]

Asaka, T.

K. Nakamura, T. Asaka, S. Asari, Y. Ota, A. Itoh, “Enhancement of Kerr Rotation with Amorphous Si Film,” IEEE Trans. Magn. MAG-21, 1654 (1985).
[CrossRef]

Asari, S.

K. Nakamura, T. Asaka, S. Asari, Y. Ota, A. Itoh, “Enhancement of Kerr Rotation with Amorphous Si Film,” IEEE Trans. Magn. MAG-21, 1654 (1985).
[CrossRef]

Berreman, D. W.

Connell, G. A. N.

G. A. N. Connell, “Interference Enhanced Kerr Spectroscopy for Very Thin Absorbing Films,” Appl. Phys. Lett. 40, 213 (1982).
[CrossRef]

M. Mansuripur, G. A. N. Connell, J. W. Goodman, “Signal and Noise in Magneto-Optical Readout,” J. Appl. Phys. 53, 4485 (1982).
[CrossRef]

Gamble, R.

R. Gamble, P. H. Lissberger, M. R. Parker, “A Simple Analysis for the Optimization of the Normal Polar Magneto-optical Kerr Effect in Multilayer Coatings Containing a Magnetic Film,” IEEE Trans. Magn. MAG-21, 1651 (1985).
[CrossRef]

Goodman, J. W.

M. Mansuripur, G. A. N. Connell, J. W. Goodman, “Signal and Noise in Magneto-Optical Readout,” J. Appl. Phys. 53, 4485 (1982).
[CrossRef]

Heavens, O. S.

O. S. Heavens, Optical Properties of Thin Solid Films (Dover, New York, 1965).

Itoh, A.

K. Nakamura, T. Asaka, S. Asari, Y. Ota, A. Itoh, “Enhancement of Kerr Rotation with Amorphous Si Film,” IEEE Trans. Magn. MAG-21, 1654 (1985).
[CrossRef]

Keay, D.

D. Keay, P. H. Lissberger, “Longitudinal Kerr Magnetooptic Effect in Multilayer Structures of Dielectric and Magnetic Films,” Opt. Acta 15, 373 (1968).
[CrossRef]

Kranz, J.

J. Kranz, C. Schrodter, “Ellipsometry on Magnetooptic Thin Film Multilayer Systems,” Appl. Phys. B 34, 139 (1984).
[CrossRef]

Landau, L. D.

L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, New York, 1960).

Lettington, A. H.

A. H. Lettington, “Optical Properties and Fermi Surfaces of Zinc,” in Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed. (North-Holland, Amsterdam, 1966).

Lifshitz, E. M.

L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, New York, 1960).

Lin-Chung, P. J.

Lissberger, P. H.

R. Gamble, P. H. Lissberger, M. R. Parker, “A Simple Analysis for the Optimization of the Normal Polar Magneto-optical Kerr Effect in Multilayer Coatings Containing a Magnetic Film,” IEEE Trans. Magn. MAG-21, 1651 (1985).
[CrossRef]

D. Keay, P. H. Lissberger, “Longitudinal Kerr Magnetooptic Effect in Multilayer Structures of Dielectric and Magnetic Films,” Opt. Acta 15, 373 (1968).
[CrossRef]

Mansuripur, M.

M. Mansuripur, G. A. N. Connell, J. W. Goodman, “Signal and Noise in Magneto-Optical Readout,” J. Appl. Phys. 53, 4485 (1982).
[CrossRef]

Nakamura, K.

K. Nakamura, T. Asaka, S. Asari, Y. Ota, A. Itoh, “Enhancement of Kerr Rotation with Amorphous Si Film,” IEEE Trans. Magn. MAG-21, 1654 (1985).
[CrossRef]

Ota, Y.

K. Nakamura, T. Asaka, S. Asari, Y. Ota, A. Itoh, “Enhancement of Kerr Rotation with Amorphous Si Film,” IEEE Trans. Magn. MAG-21, 1654 (1985).
[CrossRef]

Parker, M. R.

R. Gamble, P. H. Lissberger, M. R. Parker, “A Simple Analysis for the Optimization of the Normal Polar Magneto-optical Kerr Effect in Multilayer Coatings Containing a Magnetic Film,” IEEE Trans. Magn. MAG-21, 1651 (1985).
[CrossRef]

Schrodter, C.

J. Kranz, C. Schrodter, “Ellipsometry on Magnetooptic Thin Film Multilayer Systems,” Appl. Phys. B 34, 139 (1984).
[CrossRef]

Smet, D. J.

D. J. Smet, “Generalized Ellipsometry and the 4 × 4 Matrix Formalism,” Surf. Sci. 56, 293 (1976).
[CrossRef]

Smith, D. O.

D. O. Smith, “Optical Scattering from Cubic Electro-optical Films,” Opt. Acta 13, 195 (1966).
[CrossRef]

D. O. Smith, “Magneto-Optical Scattering from Multilayer Magnetic and Dielectric Films,” Opt. Acta 12, 13 (1965).
[CrossRef]

Sprokel, G. J.

Teitler, S.

Visnovsky, S.

S. Visnovsky, “Magneto-optical Polar Kerr Effect and Birefringence in Magnetic Crystals of Orthorhombic Symmetry,” Czech. J. Phys. B 34, 155 (1984).
[CrossRef]

Yeh, P.

P. Yeh, “Optics of Anisotropic Layered Media: A New 4 × 4 Matrix Algebra,” Surf. Sci. 96, 41 (1980).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. B (1)

J. Kranz, C. Schrodter, “Ellipsometry on Magnetooptic Thin Film Multilayer Systems,” Appl. Phys. B 34, 139 (1984).
[CrossRef]

Appl. Phys. Lett. (1)

G. A. N. Connell, “Interference Enhanced Kerr Spectroscopy for Very Thin Absorbing Films,” Appl. Phys. Lett. 40, 213 (1982).
[CrossRef]

Czech. J. Phys. B (1)

S. Visnovsky, “Magneto-optical Polar Kerr Effect and Birefringence in Magnetic Crystals of Orthorhombic Symmetry,” Czech. J. Phys. B 34, 155 (1984).
[CrossRef]

IEEE Trans. Magn. (2)

K. Nakamura, T. Asaka, S. Asari, Y. Ota, A. Itoh, “Enhancement of Kerr Rotation with Amorphous Si Film,” IEEE Trans. Magn. MAG-21, 1654 (1985).
[CrossRef]

R. Gamble, P. H. Lissberger, M. R. Parker, “A Simple Analysis for the Optimization of the Normal Polar Magneto-optical Kerr Effect in Multilayer Coatings Containing a Magnetic Film,” IEEE Trans. Magn. MAG-21, 1651 (1985).
[CrossRef]

J. Appl. Phys. (1)

M. Mansuripur, G. A. N. Connell, J. W. Goodman, “Signal and Noise in Magneto-Optical Readout,” J. Appl. Phys. 53, 4485 (1982).
[CrossRef]

J. Opt. Soc. Am. (1)

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

Opt. Acta (3)

D. Keay, P. H. Lissberger, “Longitudinal Kerr Magnetooptic Effect in Multilayer Structures of Dielectric and Magnetic Films,” Opt. Acta 15, 373 (1968).
[CrossRef]

D. O. Smith, “Magneto-Optical Scattering from Multilayer Magnetic and Dielectric Films,” Opt. Acta 12, 13 (1965).
[CrossRef]

D. O. Smith, “Optical Scattering from Cubic Electro-optical Films,” Opt. Acta 13, 195 (1966).
[CrossRef]

Surf. Sci. (2)

P. Yeh, “Optics of Anisotropic Layered Media: A New 4 × 4 Matrix Algebra,” Surf. Sci. 96, 41 (1980).
[CrossRef]

D. J. Smet, “Generalized Ellipsometry and the 4 × 4 Matrix Formalism,” Surf. Sci. 56, 293 (1976).
[CrossRef]

Other (3)

L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, New York, 1960).

A. H. Lettington, “Optical Properties and Fermi Surfaces of Zinc,” in Optical Properties and Electronic Structure of Metals and Alloys, F. Abeles, Ed. (North-Holland, Amsterdam, 1966).

O. S. Heavens, Optical Properties of Thin Solid Films (Dover, New York, 1965).

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