Abstract

In this article, we introduce a simple magnetophotonic crystal structure for magnetic field sensing applications. Design procedure, which is performed using a global optimization tool called genetic algorithm, provides great flexibility for structures with layers having nonquarter-wavelength thickness. Results show that our proposed genetic sensor comparatively exhibits higher simplicity, sensitivity, and spatial resolution, with better photo-response and performance. We also analyze the underlying physical phenomenon responsible for such improvement by inspection of electric field distribution in the interior of the structure.

© 2012 Optical Society of America

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  1. N. K. Dissanayake, M. Levy, A. A. Jalali, and V. J. Fratello, “Gyrotropic band gap optical sensors,” Appl. Phys. Lett. 96, 181105 (2010).
    [CrossRef]
  2. R. Fujikawa, K. Tanizaki, A. V. Baryshev, P. B. Lim, K. H. Shin, H. Uchida, and M. Inoue, “Magnetic field sensors using magnetophotonic crystals,” Proc. SPIE 6369, 63690G (2006).
    [CrossRef]
  3. M. Vasiliev, V. Kotov, K. E. Alameh, V. I. Belotelov, and A. K. Zvezdin, “Novel magnetic photonic crystal structures for magnetic field sensors and visualizers,” IEEE Trans. Magn. 44, 323–328 (2008).
    [CrossRef]
  4. S. Kahl and A. M. Grishin, “Magneto-optical rotation of a one-dimensional all-garnet photonic crystal in transmission and reflection,” Phys. Rev. B 71, 205110 (2005).
    [CrossRef]
  5. M. Inoue, 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 39, R151 (2006).
    [CrossRef]
  6. M. Inoue, A. V. Baryshev, A. B. Khanikaev, M. E. Dokukin, K. Chung, J. Heo, H. Takagi, H. Uchida, P. B. Lim, and J. Kim, “Magnetophotonic materials and their applications,” IEICE Trans. Electron. E91-C, 1630–1638 (2008).
    [CrossRef]
  7. M. Levy, A. A. Jalali, and X. Huang, “Magnetophotonic crystals: nonreciprocity, birefringence and confinement,” J. Mater. Sci.: Mater. Electron. 20, 43–47 (2009).
    [CrossRef]
  8. M. Zamani, M. Ghanaatshoar, and H. Alisafaee, “Adjustable magneto-optical isolators with high transmittance and large Faraday rotation,” J. Opt. Soc. Am. B 28, 2637–2642 (2011).
    [CrossRef]
  9. M. Zamani, M. Ghanaatshoar, and H. Alisafaee, “Compact one-dimensional magnetophotonic crystals with simultaneous large Faraday rotation and high transmittance,” J. Mod. Opt. 59, 126–130 (2012).
    [CrossRef]
  10. M. Klank, O. Hagedorn, M. Shamonin, and H. Dotsch, “Sensitive magneto-optical sensors for visualization of magnetic fields using garnet films of specific orientations,” J. Appl. Phys. 92, 6484 (2002).
    [CrossRef]
  11. M. Moradi, H. Alisafaee, and M. Ghanaatshoar, “The Kerr effect enhancement in non-quarter-wave lossy magnetophotonic crystals,” Physica B 405, 4488–4491 (2010).
    [CrossRef]
  12. M. Ghanaatshoar and H. Alisafaee, “Genetic optimization of magneto-optic Kerr effect in lossy cavity-type magnetophotonic crystals,” J. Magn. Magn. Mater. 323, 1823–1826 (2011).
    [CrossRef]
  13. J. F. Wu, Y. Y. Chen, and T. S. Wang, “Flat field concave holographic grating with broad spectral region and moderately high resolution,” Appl. Opt. 51, 509–514 (2012).
    [CrossRef]
  14. W. Paszkowicz, “Genetic algorithms, a nature-inspired tool: survey of applications in materials science and related fields,” Mat. Manuf. Proc. 24, 174–197 (2009).
    [CrossRef]
  15. J. Goh, I. Fushman, D. Englund, and J. Vukovi, “Genetic optimization of photonic bandgap structures,” Opt. Express 15, 8218–8230 (2007).
    [CrossRef]
  16. L. Shen, Z. Ye, and S. He, “Design of two-dimensional photonic crystals with large absolute band gaps using a genetic algorithm,” Phys. Rev. B 68, 035109 (2003).
    [CrossRef]
  17. E. Kerrinckx, L. Bigot, M. Douay, and Y. Quiquempois, “Photonic crystal fiber design by means of a genetic algorithm,” Opt. Express 12, 1990–1995 (2004).
    [CrossRef]
  18. Z. Q. Qiu and S. D. Bader, “Surface magneto-optic Kerr effect,” Rev. Sci. Instrum. 71, 1243–1255 (2000).
    [CrossRef]
  19. S. Visnovsky, Optics in Magnetic Multilayers and Nanostructures (CRC Press, Taylor and Francis, 2006).
  20. M. Moradi and M. Ghanaatshoar, “Cavity enhancement of the magneto-optic Kerr effect in glass/Al/SnO2/PtMnSb/SnO2 structure,” Opt. Commun. 283, 5053–5057 (2010).
    [CrossRef]
  21. M. Muriel and A. Carballar, “Internal field distributions in fiber Bragg gratings,” IEEE Photon. Technol. Lett. 9, 955–957 (1997).
    [CrossRef]
  22. T. Baeck, Evolutionary Algorithms in Theory and Practice(Oxford University, 1996).
  23. T. D. Gwiazda, Genetic Algorithms Reference (Tomasz Gwiazda, 2006).
  24. R. Kumar, “System and method for the use of an adaptive mutation operator in genetic algorithms,” U. S. patent 7,660,773 (2September2010).

2012

M. Zamani, M. Ghanaatshoar, and H. Alisafaee, “Compact one-dimensional magnetophotonic crystals with simultaneous large Faraday rotation and high transmittance,” J. Mod. Opt. 59, 126–130 (2012).
[CrossRef]

J. F. Wu, Y. Y. Chen, and T. S. Wang, “Flat field concave holographic grating with broad spectral region and moderately high resolution,” Appl. Opt. 51, 509–514 (2012).
[CrossRef]

2011

M. Ghanaatshoar and H. Alisafaee, “Genetic optimization of magneto-optic Kerr effect in lossy cavity-type magnetophotonic crystals,” J. Magn. Magn. Mater. 323, 1823–1826 (2011).
[CrossRef]

M. Zamani, M. Ghanaatshoar, and H. Alisafaee, “Adjustable magneto-optical isolators with high transmittance and large Faraday rotation,” J. Opt. Soc. Am. B 28, 2637–2642 (2011).
[CrossRef]

2010

N. K. Dissanayake, M. Levy, A. A. Jalali, and V. J. Fratello, “Gyrotropic band gap optical sensors,” Appl. Phys. Lett. 96, 181105 (2010).
[CrossRef]

M. Moradi, H. Alisafaee, and M. Ghanaatshoar, “The Kerr effect enhancement in non-quarter-wave lossy magnetophotonic crystals,” Physica B 405, 4488–4491 (2010).
[CrossRef]

M. Moradi and M. Ghanaatshoar, “Cavity enhancement of the magneto-optic Kerr effect in glass/Al/SnO2/PtMnSb/SnO2 structure,” Opt. Commun. 283, 5053–5057 (2010).
[CrossRef]

2009

W. Paszkowicz, “Genetic algorithms, a nature-inspired tool: survey of applications in materials science and related fields,” Mat. Manuf. Proc. 24, 174–197 (2009).
[CrossRef]

M. Levy, A. A. Jalali, and X. Huang, “Magnetophotonic crystals: nonreciprocity, birefringence and confinement,” J. Mater. Sci.: Mater. Electron. 20, 43–47 (2009).
[CrossRef]

2008

M. Inoue, A. V. Baryshev, A. B. Khanikaev, M. E. Dokukin, K. Chung, J. Heo, H. Takagi, H. Uchida, P. B. Lim, and J. Kim, “Magnetophotonic materials and their applications,” IEICE Trans. Electron. E91-C, 1630–1638 (2008).
[CrossRef]

M. Vasiliev, V. Kotov, K. E. Alameh, V. I. Belotelov, and A. K. Zvezdin, “Novel magnetic photonic crystal structures for magnetic field sensors and visualizers,” IEEE Trans. Magn. 44, 323–328 (2008).
[CrossRef]

2007

2006

R. Fujikawa, K. Tanizaki, A. V. Baryshev, P. B. Lim, K. H. Shin, H. Uchida, and M. Inoue, “Magnetic field sensors using magnetophotonic crystals,” Proc. SPIE 6369, 63690G (2006).
[CrossRef]

M. Inoue, 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 39, R151 (2006).
[CrossRef]

2005

S. Kahl and A. M. Grishin, “Magneto-optical rotation of a one-dimensional all-garnet photonic crystal in transmission and reflection,” Phys. Rev. B 71, 205110 (2005).
[CrossRef]

2004

2003

L. Shen, Z. Ye, and S. He, “Design of two-dimensional photonic crystals with large absolute band gaps using a genetic algorithm,” Phys. Rev. B 68, 035109 (2003).
[CrossRef]

2002

M. Klank, O. Hagedorn, M. Shamonin, and H. Dotsch, “Sensitive magneto-optical sensors for visualization of magnetic fields using garnet films of specific orientations,” J. Appl. Phys. 92, 6484 (2002).
[CrossRef]

2000

Z. Q. Qiu and S. D. Bader, “Surface magneto-optic Kerr effect,” Rev. Sci. Instrum. 71, 1243–1255 (2000).
[CrossRef]

1997

M. Muriel and A. Carballar, “Internal field distributions in fiber Bragg gratings,” IEEE Photon. Technol. Lett. 9, 955–957 (1997).
[CrossRef]

Aktsipetrov, O.

M. Inoue, 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 39, R151 (2006).
[CrossRef]

Alameh, K. E.

M. Vasiliev, V. Kotov, K. E. Alameh, V. I. Belotelov, and A. K. Zvezdin, “Novel magnetic photonic crystal structures for magnetic field sensors and visualizers,” IEEE Trans. Magn. 44, 323–328 (2008).
[CrossRef]

Alisafaee, H.

M. Zamani, M. Ghanaatshoar, and H. Alisafaee, “Compact one-dimensional magnetophotonic crystals with simultaneous large Faraday rotation and high transmittance,” J. Mod. Opt. 59, 126–130 (2012).
[CrossRef]

M. Zamani, M. Ghanaatshoar, and H. Alisafaee, “Adjustable magneto-optical isolators with high transmittance and large Faraday rotation,” J. Opt. Soc. Am. B 28, 2637–2642 (2011).
[CrossRef]

M. Ghanaatshoar and H. Alisafaee, “Genetic optimization of magneto-optic Kerr effect in lossy cavity-type magnetophotonic crystals,” J. Magn. Magn. Mater. 323, 1823–1826 (2011).
[CrossRef]

M. Moradi, H. Alisafaee, and M. Ghanaatshoar, “The Kerr effect enhancement in non-quarter-wave lossy magnetophotonic crystals,” Physica B 405, 4488–4491 (2010).
[CrossRef]

Bader, S. D.

Z. Q. Qiu and S. D. Bader, “Surface magneto-optic Kerr effect,” Rev. Sci. Instrum. 71, 1243–1255 (2000).
[CrossRef]

Baeck, T.

T. Baeck, Evolutionary Algorithms in Theory and Practice(Oxford University, 1996).

Baryshev, A.

M. Inoue, 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 39, R151 (2006).
[CrossRef]

Baryshev, A. V.

M. Inoue, A. V. Baryshev, A. B. Khanikaev, M. E. Dokukin, K. Chung, J. Heo, H. Takagi, H. Uchida, P. B. Lim, and J. Kim, “Magnetophotonic materials and their applications,” IEICE Trans. Electron. E91-C, 1630–1638 (2008).
[CrossRef]

R. Fujikawa, K. Tanizaki, A. V. Baryshev, P. B. Lim, K. H. Shin, H. Uchida, and M. Inoue, “Magnetic field sensors using magnetophotonic crystals,” Proc. SPIE 6369, 63690G (2006).
[CrossRef]

Belotelov, V. I.

M. Vasiliev, V. Kotov, K. E. Alameh, V. I. Belotelov, and A. K. Zvezdin, “Novel magnetic photonic crystal structures for magnetic field sensors and visualizers,” IEEE Trans. Magn. 44, 323–328 (2008).
[CrossRef]

Bigot, L.

Carballar, A.

M. Muriel and A. Carballar, “Internal field distributions in fiber Bragg gratings,” IEEE Photon. Technol. Lett. 9, 955–957 (1997).
[CrossRef]

Chen, Y. Y.

Chung, K.

M. Inoue, A. V. Baryshev, A. B. Khanikaev, M. E. Dokukin, K. Chung, J. Heo, H. Takagi, H. Uchida, P. B. Lim, and J. Kim, “Magnetophotonic materials and their applications,” IEICE Trans. Electron. E91-C, 1630–1638 (2008).
[CrossRef]

Dissanayake, N. K.

N. K. Dissanayake, M. Levy, A. A. Jalali, and V. J. Fratello, “Gyrotropic band gap optical sensors,” Appl. Phys. Lett. 96, 181105 (2010).
[CrossRef]

Dokukin, M. E.

M. Inoue, A. V. Baryshev, A. B. Khanikaev, M. E. Dokukin, K. Chung, J. Heo, H. Takagi, H. Uchida, P. B. Lim, and J. Kim, “Magnetophotonic materials and their applications,” IEICE Trans. Electron. E91-C, 1630–1638 (2008).
[CrossRef]

Dotsch, H.

M. Klank, O. Hagedorn, M. Shamonin, and H. Dotsch, “Sensitive magneto-optical sensors for visualization of magnetic fields using garnet films of specific orientations,” J. Appl. Phys. 92, 6484 (2002).
[CrossRef]

Douay, M.

Englund, D.

Fedyanin, A.

M. Inoue, 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 39, R151 (2006).
[CrossRef]

Fratello, V. J.

N. K. Dissanayake, M. Levy, A. A. Jalali, and V. J. Fratello, “Gyrotropic band gap optical sensors,” Appl. Phys. Lett. 96, 181105 (2010).
[CrossRef]

Fujikawa, R.

R. Fujikawa, K. Tanizaki, A. V. Baryshev, P. B. Lim, K. H. Shin, H. Uchida, and M. Inoue, “Magnetic field sensors using magnetophotonic crystals,” Proc. SPIE 6369, 63690G (2006).
[CrossRef]

M. Inoue, 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 39, R151 (2006).
[CrossRef]

Fushman, I.

Ghanaatshoar, M.

M. Zamani, M. Ghanaatshoar, and H. Alisafaee, “Compact one-dimensional magnetophotonic crystals with simultaneous large Faraday rotation and high transmittance,” J. Mod. Opt. 59, 126–130 (2012).
[CrossRef]

M. Ghanaatshoar and H. Alisafaee, “Genetic optimization of magneto-optic Kerr effect in lossy cavity-type magnetophotonic crystals,” J. Magn. Magn. Mater. 323, 1823–1826 (2011).
[CrossRef]

M. Zamani, M. Ghanaatshoar, and H. Alisafaee, “Adjustable magneto-optical isolators with high transmittance and large Faraday rotation,” J. Opt. Soc. Am. B 28, 2637–2642 (2011).
[CrossRef]

M. Moradi, H. Alisafaee, and M. Ghanaatshoar, “The Kerr effect enhancement in non-quarter-wave lossy magnetophotonic crystals,” Physica B 405, 4488–4491 (2010).
[CrossRef]

M. Moradi and M. Ghanaatshoar, “Cavity enhancement of the magneto-optic Kerr effect in glass/Al/SnO2/PtMnSb/SnO2 structure,” Opt. Commun. 283, 5053–5057 (2010).
[CrossRef]

Goh, J.

Granovsky, A.

M. Inoue, 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 39, R151 (2006).
[CrossRef]

Grishin, A. M.

S. Kahl and A. M. Grishin, “Magneto-optical rotation of a one-dimensional all-garnet photonic crystal in transmission and reflection,” Phys. Rev. B 71, 205110 (2005).
[CrossRef]

Gwiazda, T. D.

T. D. Gwiazda, Genetic Algorithms Reference (Tomasz Gwiazda, 2006).

Hagedorn, O.

M. Klank, O. Hagedorn, M. Shamonin, and H. Dotsch, “Sensitive magneto-optical sensors for visualization of magnetic fields using garnet films of specific orientations,” J. Appl. Phys. 92, 6484 (2002).
[CrossRef]

He, S.

L. Shen, Z. Ye, and S. He, “Design of two-dimensional photonic crystals with large absolute band gaps using a genetic algorithm,” Phys. Rev. B 68, 035109 (2003).
[CrossRef]

Heo, J.

M. Inoue, A. V. Baryshev, A. B. Khanikaev, M. E. Dokukin, K. Chung, J. Heo, H. Takagi, H. Uchida, P. B. Lim, and J. Kim, “Magnetophotonic materials and their applications,” IEICE Trans. Electron. E91-C, 1630–1638 (2008).
[CrossRef]

Huang, X.

M. Levy, A. A. Jalali, and X. Huang, “Magnetophotonic crystals: nonreciprocity, birefringence and confinement,” J. Mater. Sci.: Mater. Electron. 20, 43–47 (2009).
[CrossRef]

Inoue, M.

M. Inoue, A. V. Baryshev, A. B. Khanikaev, M. E. Dokukin, K. Chung, J. Heo, H. Takagi, H. Uchida, P. B. Lim, and J. Kim, “Magnetophotonic materials and their applications,” IEICE Trans. Electron. E91-C, 1630–1638 (2008).
[CrossRef]

M. Inoue, 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 39, R151 (2006).
[CrossRef]

R. Fujikawa, K. Tanizaki, A. V. Baryshev, P. B. Lim, K. H. Shin, H. Uchida, and M. Inoue, “Magnetic field sensors using magnetophotonic crystals,” Proc. SPIE 6369, 63690G (2006).
[CrossRef]

Jalali, A. A.

N. K. Dissanayake, M. Levy, A. A. Jalali, and V. J. Fratello, “Gyrotropic band gap optical sensors,” Appl. Phys. Lett. 96, 181105 (2010).
[CrossRef]

M. Levy, A. A. Jalali, and X. Huang, “Magnetophotonic crystals: nonreciprocity, birefringence and confinement,” J. Mater. Sci.: Mater. Electron. 20, 43–47 (2009).
[CrossRef]

Kahl, S.

S. Kahl and A. M. Grishin, “Magneto-optical rotation of a one-dimensional all-garnet photonic crystal in transmission and reflection,” Phys. Rev. B 71, 205110 (2005).
[CrossRef]

Kerrinckx, E.

Khanikaev, A.

M. Inoue, 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 39, R151 (2006).
[CrossRef]

Khanikaev, A. B.

M. Inoue, A. V. Baryshev, A. B. Khanikaev, M. E. Dokukin, K. Chung, J. Heo, H. Takagi, H. Uchida, P. B. Lim, and J. Kim, “Magnetophotonic materials and their applications,” IEICE Trans. Electron. E91-C, 1630–1638 (2008).
[CrossRef]

Kim, J.

M. Inoue, A. V. Baryshev, A. B. Khanikaev, M. E. Dokukin, K. Chung, J. Heo, H. Takagi, H. Uchida, P. B. Lim, and J. Kim, “Magnetophotonic materials and their applications,” IEICE Trans. Electron. E91-C, 1630–1638 (2008).
[CrossRef]

Klank, M.

M. Klank, O. Hagedorn, M. Shamonin, and H. Dotsch, “Sensitive magneto-optical sensors for visualization of magnetic fields using garnet films of specific orientations,” J. Appl. Phys. 92, 6484 (2002).
[CrossRef]

Kotov, V.

M. Vasiliev, V. Kotov, K. E. Alameh, V. I. Belotelov, and A. K. Zvezdin, “Novel magnetic photonic crystal structures for magnetic field sensors and visualizers,” IEEE Trans. Magn. 44, 323–328 (2008).
[CrossRef]

Kumar, R.

R. Kumar, “System and method for the use of an adaptive mutation operator in genetic algorithms,” U. S. patent 7,660,773 (2September2010).

Levy, M.

N. K. Dissanayake, M. Levy, A. A. Jalali, and V. J. Fratello, “Gyrotropic band gap optical sensors,” Appl. Phys. Lett. 96, 181105 (2010).
[CrossRef]

M. Levy, A. A. Jalali, and X. Huang, “Magnetophotonic crystals: nonreciprocity, birefringence and confinement,” J. Mater. Sci.: Mater. Electron. 20, 43–47 (2009).
[CrossRef]

Lim, P. B.

M. Inoue, A. V. Baryshev, A. B. Khanikaev, M. E. Dokukin, K. Chung, J. Heo, H. Takagi, H. Uchida, P. B. Lim, and J. Kim, “Magnetophotonic materials and their applications,” IEICE Trans. Electron. E91-C, 1630–1638 (2008).
[CrossRef]

R. Fujikawa, K. Tanizaki, A. V. Baryshev, P. B. Lim, K. H. Shin, H. Uchida, and M. Inoue, “Magnetic field sensors using magnetophotonic crystals,” Proc. SPIE 6369, 63690G (2006).
[CrossRef]

M. Inoue, 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 39, R151 (2006).
[CrossRef]

Moradi, M.

M. Moradi, H. Alisafaee, and M. Ghanaatshoar, “The Kerr effect enhancement in non-quarter-wave lossy magnetophotonic crystals,” Physica B 405, 4488–4491 (2010).
[CrossRef]

M. Moradi and M. Ghanaatshoar, “Cavity enhancement of the magneto-optic Kerr effect in glass/Al/SnO2/PtMnSb/SnO2 structure,” Opt. Commun. 283, 5053–5057 (2010).
[CrossRef]

Muriel, M.

M. Muriel and A. Carballar, “Internal field distributions in fiber Bragg gratings,” IEEE Photon. Technol. Lett. 9, 955–957 (1997).
[CrossRef]

Murzina, T.

M. Inoue, 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 39, R151 (2006).
[CrossRef]

Paszkowicz, W.

W. Paszkowicz, “Genetic algorithms, a nature-inspired tool: survey of applications in materials science and related fields,” Mat. Manuf. Proc. 24, 174–197 (2009).
[CrossRef]

Qiu, Z. Q.

Z. Q. Qiu and S. D. Bader, “Surface magneto-optic Kerr effect,” Rev. Sci. Instrum. 71, 1243–1255 (2000).
[CrossRef]

Quiquempois, Y.

Shamonin, M.

M. Klank, O. Hagedorn, M. Shamonin, and H. Dotsch, “Sensitive magneto-optical sensors for visualization of magnetic fields using garnet films of specific orientations,” J. Appl. Phys. 92, 6484 (2002).
[CrossRef]

Shen, L.

L. Shen, Z. Ye, and S. He, “Design of two-dimensional photonic crystals with large absolute band gaps using a genetic algorithm,” Phys. Rev. B 68, 035109 (2003).
[CrossRef]

Shin, K. H.

R. Fujikawa, K. Tanizaki, A. V. Baryshev, P. B. Lim, K. H. Shin, H. Uchida, and M. Inoue, “Magnetic field sensors using magnetophotonic crystals,” Proc. SPIE 6369, 63690G (2006).
[CrossRef]

Takagi, H.

M. Inoue, A. V. Baryshev, A. B. Khanikaev, M. E. Dokukin, K. Chung, J. Heo, H. Takagi, H. Uchida, P. B. Lim, and J. Kim, “Magnetophotonic materials and their applications,” IEICE Trans. Electron. E91-C, 1630–1638 (2008).
[CrossRef]

Tanizaki, K.

R. Fujikawa, K. Tanizaki, A. V. Baryshev, P. B. Lim, K. H. Shin, H. Uchida, and M. Inoue, “Magnetic field sensors using magnetophotonic crystals,” Proc. SPIE 6369, 63690G (2006).
[CrossRef]

Uchida, H.

M. Inoue, A. V. Baryshev, A. B. Khanikaev, M. E. Dokukin, K. Chung, J. Heo, H. Takagi, H. Uchida, P. B. Lim, and J. Kim, “Magnetophotonic materials and their applications,” IEICE Trans. Electron. E91-C, 1630–1638 (2008).
[CrossRef]

M. Inoue, 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 39, R151 (2006).
[CrossRef]

R. Fujikawa, K. Tanizaki, A. V. Baryshev, P. B. Lim, K. H. Shin, H. Uchida, and M. Inoue, “Magnetic field sensors using magnetophotonic crystals,” Proc. SPIE 6369, 63690G (2006).
[CrossRef]

Vasiliev, M.

M. Vasiliev, V. Kotov, K. E. Alameh, V. I. Belotelov, and A. K. Zvezdin, “Novel magnetic photonic crystal structures for magnetic field sensors and visualizers,” IEEE Trans. Magn. 44, 323–328 (2008).
[CrossRef]

Visnovsky, S.

S. Visnovsky, Optics in Magnetic Multilayers and Nanostructures (CRC Press, Taylor and Francis, 2006).

Vukovi, J.

Wang, T. S.

Wu, J. F.

Ye, Z.

L. Shen, Z. Ye, and S. He, “Design of two-dimensional photonic crystals with large absolute band gaps using a genetic algorithm,” Phys. Rev. B 68, 035109 (2003).
[CrossRef]

Zamani, M.

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Figures (4)

Fig. 1.
Fig. 1.

Structural design of optimized genetic MPC sensor.

Fig. 2.
Fig. 2.

Reflection (dashed) and MO rotation (solid) spectra of the genetic MPC.

Fig. 3.
Fig. 3.

Electric field distribution in the interior of (a) the genetic MPC sensor and (b) a corresponding structure comprising quarter-wavelength-thick layers.

Fig. 4.
Fig. 4.

Optical reflection (solid) and MO response (dashed) of the genetic MPC versus dimensionless magnetic gyration (normalized by the saturation gyration).

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

M=Ai1mAmDmAm1Af(GHIJ),
(tsstsptpstpp)=G1,(rssrsprpsrpp)=IG1,
tan(2θK)=2Re(χ)1|χ|2.
|Es+(z)+Es(z)|2+|Ep+(z)+Ep(z)|2.
(10rssrsp)=(M11(z)M12(z)M13(z)M14(z)M21(z)M22(z)M23(z)M24(z)M31(z)M32(z)M33(z)M34(z)M41(z)M42(z)M43(z)M44(z))(tss(z)tps(z)rss(z)rps(z)),

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