Abstract

We report on the occurrence of strong nonreciprocal magnetochiral dichroism in helical structures of magnetic garnet spheres, which emerges as a result of the simultaneous lack of time-reversal and space-inversion symmetries, by means of rigorous full-electrodynamic calculations using the layer-multiple-scattering method. It is shown that a strong effect appears in flat band regions associated with enhanced natural and magnetic optical activity.

© 2013 Optical Society of America

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  1. M. P. Groenewege, Mol. Phys. 5, 541 (1962).
    [CrossRef]
  2. W. F. Brown, S. Shtrieman, and D. Treves, J. Appl. Phys. 34, 1233 (1963).
    [CrossRef]
  3. D. L. Portigal and E. Burstein, J. Phys. Chem. Solids 32, 603 (1971).
    [CrossRef]
  4. N. B. Baranova, Yu. V. Bogdanov, and B. Ya. Zel’Dovich, Opt. Commun. 22, 243 (1977).
    [CrossRef]
  5. N. B. Baranova and B. Ya. Zel’Dovich, Mol. Phys. 38, 1085 (1979).
    [CrossRef]
  6. G. Wagnière and A. Meier, Chem. Phys. Lett. 93, 78 (1982).
    [CrossRef]
  7. L. D. Barron and J. Vrbancich, Mol. Phys. 51, 715 (1984).
    [CrossRef]
  8. G. L. J. A. Rikken and E. Raupach, Nature (London) 405, 932 (2000).
    [CrossRef]
  9. G. L. J. A. Rikken and E. Raupach, Nature (London) 390, 493 (1997).
    [CrossRef]
  10. G. L. J. A. Rikken and E. Raupach, Phys. Rev. E 58, 5081 (1998).
    [CrossRef]
  11. P. Kleindienst and G. H. Wagnière, Chem. Phys. Lett. 288, 89 (1998).
    [CrossRef]
  12. N. K. Kalugin, P. Kleindienst, and G. H. Wagnière, Chem. Phys. 248, 105 (1999).
    [CrossRef]
  13. M. Vallet, R. Ghosh, A. Le Floch, T. Ruchon, F. Bretenaker, and J.-Y. Thepot, Phys. Rev. Lett. 87, 183003 (2001).
    [CrossRef]
  14. C. Train, R. Gheorghe, V. Krstic, L.-M. Chamoreau, N. S. Ovanesyan, G. L. J. A. Rikken, M. Gruselle, and M. Verdaguer, Nat. Mater. 7, 729 (2008).
    [CrossRef]
  15. Y. Kitagawa, H. Segawa, and K. Ishii, Angew. Chem. Int. Ed. 50, 9133 (2011).
    [CrossRef]
  16. Y. Kitagawa, T. Miyatake, and K. Ishii, Chem. Commun. 48, 5091 (2012).
    [CrossRef]
  17. D. Szaller, S. Bordács, and I. Kézsmárki, Phys. Rev. B 87, 014421 (2013).
    [CrossRef]
  18. N. Yahya, R. M. Al Habashi, K. Koziol, R. D. Borkowski, M. N. Akhtar, M. Kashif, and M. Hashim, J. Nanosci. Nanotechnol. 11, 2652 (2011).
    [CrossRef]
  19. D. T. T. Nguyet, N. P. Duong, T. Satoh, L. N. Anh, and T. D. Hien, J. Alloys Comp. 541, 18 (2012).
    [CrossRef]
  20. R. J. Ji, W. Yin, C. Fang, and Y. Zeng, J. Mater. Chem. C 1, 1763 (2013).
  21. S. M. Drezdzon and T. Yoshie, Opt. Express 17, 9276 (2009).
    [CrossRef]
  22. A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, Phys. Rev. Lett. 105, 126804 (2010).
    [CrossRef]
  23. K. Fang, Z. Yu, V. Liu, and S. Fan, Opt. Lett. 36, 4254 (2011).
    [CrossRef]
  24. V. Karathanos, N. Stefanou, and A. Modinos, J. Mod. Opt. 42, 619 (1995).
    [CrossRef]
  25. N. Stefanou, V. Yannopapas, and A. Modinos, Comput. Phys. Commun. 113, 49 (1998).
    [CrossRef]
  26. N. Stefanou, V. Yannopapas, and A. Modinos, Comput. Phys. Commun. 132, 189 (2000).
    [CrossRef]
  27. A. Christofi and N. Stefanou, Phys. Rev. B 87, 115125 (2013).
    [CrossRef]
  28. 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, Phys. Rev. B. 78, 193102 (2008).
    [CrossRef]
  29. A. Figotin and I. Vitebsky, Phys. Rev. E 63, 066609 (2001).
    [CrossRef]

2013 (3)

D. Szaller, S. Bordács, and I. Kézsmárki, Phys. Rev. B 87, 014421 (2013).
[CrossRef]

R. J. Ji, W. Yin, C. Fang, and Y. Zeng, J. Mater. Chem. C 1, 1763 (2013).

A. Christofi and N. Stefanou, Phys. Rev. B 87, 115125 (2013).
[CrossRef]

2012 (2)

D. T. T. Nguyet, N. P. Duong, T. Satoh, L. N. Anh, and T. D. Hien, J. Alloys Comp. 541, 18 (2012).
[CrossRef]

Y. Kitagawa, T. Miyatake, and K. Ishii, Chem. Commun. 48, 5091 (2012).
[CrossRef]

2011 (3)

Y. Kitagawa, H. Segawa, and K. Ishii, Angew. Chem. Int. Ed. 50, 9133 (2011).
[CrossRef]

N. Yahya, R. M. Al Habashi, K. Koziol, R. D. Borkowski, M. N. Akhtar, M. Kashif, and M. Hashim, J. Nanosci. Nanotechnol. 11, 2652 (2011).
[CrossRef]

K. Fang, Z. Yu, V. Liu, and S. Fan, Opt. Lett. 36, 4254 (2011).
[CrossRef]

2010 (1)

A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, Phys. Rev. Lett. 105, 126804 (2010).
[CrossRef]

2009 (1)

2008 (2)

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, Phys. Rev. B. 78, 193102 (2008).
[CrossRef]

C. Train, R. Gheorghe, V. Krstic, L.-M. Chamoreau, N. S. Ovanesyan, G. L. J. A. Rikken, M. Gruselle, and M. Verdaguer, Nat. Mater. 7, 729 (2008).
[CrossRef]

2001 (2)

M. Vallet, R. Ghosh, A. Le Floch, T. Ruchon, F. Bretenaker, and J.-Y. Thepot, Phys. Rev. Lett. 87, 183003 (2001).
[CrossRef]

A. Figotin and I. Vitebsky, Phys. Rev. E 63, 066609 (2001).
[CrossRef]

2000 (2)

N. Stefanou, V. Yannopapas, and A. Modinos, Comput. Phys. Commun. 132, 189 (2000).
[CrossRef]

G. L. J. A. Rikken and E. Raupach, Nature (London) 405, 932 (2000).
[CrossRef]

1999 (1)

N. K. Kalugin, P. Kleindienst, and G. H. Wagnière, Chem. Phys. 248, 105 (1999).
[CrossRef]

1998 (3)

G. L. J. A. Rikken and E. Raupach, Phys. Rev. E 58, 5081 (1998).
[CrossRef]

P. Kleindienst and G. H. Wagnière, Chem. Phys. Lett. 288, 89 (1998).
[CrossRef]

N. Stefanou, V. Yannopapas, and A. Modinos, Comput. Phys. Commun. 113, 49 (1998).
[CrossRef]

1997 (1)

G. L. J. A. Rikken and E. Raupach, Nature (London) 390, 493 (1997).
[CrossRef]

1995 (1)

V. Karathanos, N. Stefanou, and A. Modinos, J. Mod. Opt. 42, 619 (1995).
[CrossRef]

1984 (1)

L. D. Barron and J. Vrbancich, Mol. Phys. 51, 715 (1984).
[CrossRef]

1982 (1)

G. Wagnière and A. Meier, Chem. Phys. Lett. 93, 78 (1982).
[CrossRef]

1979 (1)

N. B. Baranova and B. Ya. Zel’Dovich, Mol. Phys. 38, 1085 (1979).
[CrossRef]

1977 (1)

N. B. Baranova, Yu. V. Bogdanov, and B. Ya. Zel’Dovich, Opt. Commun. 22, 243 (1977).
[CrossRef]

1971 (1)

D. L. Portigal and E. Burstein, J. Phys. Chem. Solids 32, 603 (1971).
[CrossRef]

1963 (1)

W. F. Brown, S. Shtrieman, and D. Treves, J. Appl. Phys. 34, 1233 (1963).
[CrossRef]

1962 (1)

M. P. Groenewege, Mol. Phys. 5, 541 (1962).
[CrossRef]

Akhtar, M. N.

N. Yahya, R. M. Al Habashi, K. Koziol, R. D. Borkowski, M. N. Akhtar, M. Kashif, and M. Hashim, J. Nanosci. Nanotechnol. 11, 2652 (2011).
[CrossRef]

Aktsipetrov, O. A.

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, Phys. Rev. B. 78, 193102 (2008).
[CrossRef]

Al Habashi, R. M.

N. Yahya, R. M. Al Habashi, K. Koziol, R. D. Borkowski, M. N. Akhtar, M. Kashif, and M. Hashim, J. Nanosci. Nanotechnol. 11, 2652 (2011).
[CrossRef]

Anh, L. N.

D. T. T. Nguyet, N. P. Duong, T. Satoh, L. N. Anh, and T. D. Hien, J. Alloys Comp. 541, 18 (2012).
[CrossRef]

Baranova, N. B.

N. B. Baranova and B. Ya. Zel’Dovich, Mol. Phys. 38, 1085 (1979).
[CrossRef]

N. B. Baranova, Yu. V. Bogdanov, and B. Ya. Zel’Dovich, Opt. Commun. 22, 243 (1977).
[CrossRef]

Barron, L. D.

L. D. Barron and J. Vrbancich, Mol. Phys. 51, 715 (1984).
[CrossRef]

Baryshev, A. 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, Phys. Rev. B. 78, 193102 (2008).
[CrossRef]

Bogdanov, Yu. V.

N. B. Baranova, Yu. V. Bogdanov, and B. Ya. Zel’Dovich, Opt. Commun. 22, 243 (1977).
[CrossRef]

Bordács, S.

D. Szaller, S. Bordács, and I. Kézsmárki, Phys. Rev. B 87, 014421 (2013).
[CrossRef]

Borkowski, R. D.

N. Yahya, R. M. Al Habashi, K. Koziol, R. D. Borkowski, M. N. Akhtar, M. Kashif, and M. Hashim, J. Nanosci. Nanotechnol. 11, 2652 (2011).
[CrossRef]

Bretenaker, F.

M. Vallet, R. Ghosh, A. Le Floch, T. Ruchon, F. Bretenaker, and J.-Y. Thepot, Phys. Rev. Lett. 87, 183003 (2001).
[CrossRef]

Brown, W. F.

W. F. Brown, S. Shtrieman, and D. Treves, J. Appl. Phys. 34, 1233 (1963).
[CrossRef]

Burstein, E.

D. L. Portigal and E. Burstein, J. Phys. Chem. Solids 32, 603 (1971).
[CrossRef]

Chamoreau, L.-M.

C. Train, R. Gheorghe, V. Krstic, L.-M. Chamoreau, N. S. Ovanesyan, G. L. J. A. Rikken, M. Gruselle, and M. Verdaguer, Nat. Mater. 7, 729 (2008).
[CrossRef]

Christofi, A.

A. Christofi and N. Stefanou, Phys. Rev. B 87, 115125 (2013).
[CrossRef]

Drezdzon, S. M.

Duong, N. P.

D. T. T. Nguyet, N. P. Duong, T. Satoh, L. N. Anh, and T. D. Hien, J. Alloys Comp. 541, 18 (2012).
[CrossRef]

Fan, S.

Fang, C.

R. J. Ji, W. Yin, C. Fang, and Y. Zeng, J. Mater. Chem. C 1, 1763 (2013).

Fang, K.

Fedyanin, A. A.

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, Phys. Rev. B. 78, 193102 (2008).
[CrossRef]

Figotin, A.

A. Figotin and I. Vitebsky, Phys. Rev. E 63, 066609 (2001).
[CrossRef]

Gheorghe, R.

C. Train, R. Gheorghe, V. Krstic, L.-M. Chamoreau, N. S. Ovanesyan, G. L. J. A. Rikken, M. Gruselle, and M. Verdaguer, Nat. Mater. 7, 729 (2008).
[CrossRef]

Ghosh, R.

M. Vallet, R. Ghosh, A. Le Floch, T. Ruchon, F. Bretenaker, and J.-Y. Thepot, Phys. Rev. Lett. 87, 183003 (2001).
[CrossRef]

Groenewege, M. P.

M. P. Groenewege, Mol. Phys. 5, 541 (1962).
[CrossRef]

Gruselle, M.

C. Train, R. Gheorghe, V. Krstic, L.-M. Chamoreau, N. S. Ovanesyan, G. L. J. A. Rikken, M. Gruselle, and M. Verdaguer, Nat. Mater. 7, 729 (2008).
[CrossRef]

Hashim, M.

N. Yahya, R. M. Al Habashi, K. Koziol, R. D. Borkowski, M. N. Akhtar, M. Kashif, and M. Hashim, J. Nanosci. Nanotechnol. 11, 2652 (2011).
[CrossRef]

Hien, T. D.

D. T. T. Nguyet, N. P. Duong, T. Satoh, L. N. Anh, and T. D. Hien, J. Alloys Comp. 541, 18 (2012).
[CrossRef]

Inoue, M.

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, Phys. Rev. B. 78, 193102 (2008).
[CrossRef]

Ishii, K.

Y. Kitagawa, T. Miyatake, and K. Ishii, Chem. Commun. 48, 5091 (2012).
[CrossRef]

Y. Kitagawa, H. Segawa, and K. Ishii, Angew. Chem. Int. Ed. 50, 9133 (2011).
[CrossRef]

Ji, R. J.

R. J. Ji, W. Yin, C. Fang, and Y. Zeng, J. Mater. Chem. C 1, 1763 (2013).

Kalugin, N. K.

N. K. Kalugin, P. Kleindienst, and G. H. Wagnière, Chem. Phys. 248, 105 (1999).
[CrossRef]

Karathanos, V.

V. Karathanos, N. Stefanou, and A. Modinos, J. Mod. Opt. 42, 619 (1995).
[CrossRef]

Kashif, M.

N. Yahya, R. M. Al Habashi, K. Koziol, R. D. Borkowski, M. N. Akhtar, M. Kashif, and M. Hashim, J. Nanosci. Nanotechnol. 11, 2652 (2011).
[CrossRef]

Kézsmárki, I.

D. Szaller, S. Bordács, and I. Kézsmárki, Phys. Rev. B 87, 014421 (2013).
[CrossRef]

Khanikaev, A. B.

A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, Phys. Rev. Lett. 105, 126804 (2010).
[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, Phys. Rev. B. 78, 193102 (2008).
[CrossRef]

Kitagawa, Y.

Y. Kitagawa, T. Miyatake, and K. Ishii, Chem. Commun. 48, 5091 (2012).
[CrossRef]

Y. Kitagawa, H. Segawa, and K. Ishii, Angew. Chem. Int. Ed. 50, 9133 (2011).
[CrossRef]

Kivshar, Y. S.

A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, Phys. Rev. Lett. 105, 126804 (2010).
[CrossRef]

Kleindienst, P.

N. K. Kalugin, P. Kleindienst, and G. H. Wagnière, Chem. Phys. 248, 105 (1999).
[CrossRef]

P. Kleindienst and G. H. Wagnière, Chem. Phys. Lett. 288, 89 (1998).
[CrossRef]

Koziol, K.

N. Yahya, R. M. Al Habashi, K. Koziol, R. D. Borkowski, M. N. Akhtar, M. Kashif, and M. Hashim, J. Nanosci. Nanotechnol. 11, 2652 (2011).
[CrossRef]

Krstic, V.

C. Train, R. Gheorghe, V. Krstic, L.-M. Chamoreau, N. S. Ovanesyan, G. L. J. A. Rikken, M. Gruselle, and M. Verdaguer, Nat. Mater. 7, 729 (2008).
[CrossRef]

Le Floch, A.

M. Vallet, R. Ghosh, A. Le Floch, T. Ruchon, F. Bretenaker, and J.-Y. Thepot, Phys. Rev. Lett. 87, 183003 (2001).
[CrossRef]

Lim, P. 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, Phys. Rev. B. 78, 193102 (2008).
[CrossRef]

Liu, V.

Maydykovskiy, A. I.

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, Phys. Rev. B. 78, 193102 (2008).
[CrossRef]

Meier, A.

G. Wagnière and A. Meier, Chem. Phys. Lett. 93, 78 (1982).
[CrossRef]

Miyatake, T.

Y. Kitagawa, T. Miyatake, and K. Ishii, Chem. Commun. 48, 5091 (2012).
[CrossRef]

Modinos, A.

N. Stefanou, V. Yannopapas, and A. Modinos, Comput. Phys. Commun. 132, 189 (2000).
[CrossRef]

N. Stefanou, V. Yannopapas, and A. Modinos, Comput. Phys. Commun. 113, 49 (1998).
[CrossRef]

V. Karathanos, N. Stefanou, and A. Modinos, J. Mod. Opt. 42, 619 (1995).
[CrossRef]

Mousavi, S. H.

A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, Phys. Rev. Lett. 105, 126804 (2010).
[CrossRef]

Nguyet, D. T. T.

D. T. T. Nguyet, N. P. Duong, T. Satoh, L. N. Anh, and T. D. Hien, J. Alloys Comp. 541, 18 (2012).
[CrossRef]

Ovanesyan, N. S.

C. Train, R. Gheorghe, V. Krstic, L.-M. Chamoreau, N. S. Ovanesyan, G. L. J. A. Rikken, M. Gruselle, and M. Verdaguer, Nat. Mater. 7, 729 (2008).
[CrossRef]

Portigal, D. L.

D. L. Portigal and E. Burstein, J. Phys. Chem. Solids 32, 603 (1971).
[CrossRef]

Raupach, E.

G. L. J. A. Rikken and E. Raupach, Nature (London) 405, 932 (2000).
[CrossRef]

G. L. J. A. Rikken and E. Raupach, Phys. Rev. E 58, 5081 (1998).
[CrossRef]

G. L. J. A. Rikken and E. Raupach, Nature (London) 390, 493 (1997).
[CrossRef]

Rikken, G. L. J. A.

C. Train, R. Gheorghe, V. Krstic, L.-M. Chamoreau, N. S. Ovanesyan, G. L. J. A. Rikken, M. Gruselle, and M. Verdaguer, Nat. Mater. 7, 729 (2008).
[CrossRef]

G. L. J. A. Rikken and E. Raupach, Nature (London) 405, 932 (2000).
[CrossRef]

G. L. J. A. Rikken and E. Raupach, Phys. Rev. E 58, 5081 (1998).
[CrossRef]

G. L. J. A. Rikken and E. Raupach, Nature (London) 390, 493 (1997).
[CrossRef]

Ruchon, T.

M. Vallet, R. Ghosh, A. Le Floch, T. Ruchon, F. Bretenaker, and J.-Y. Thepot, Phys. Rev. Lett. 87, 183003 (2001).
[CrossRef]

Satoh, T.

D. T. T. Nguyet, N. P. Duong, T. Satoh, L. N. Anh, and T. D. Hien, J. Alloys Comp. 541, 18 (2012).
[CrossRef]

Segawa, H.

Y. Kitagawa, H. Segawa, and K. Ishii, Angew. Chem. Int. Ed. 50, 9133 (2011).
[CrossRef]

Shtrieman, S.

W. F. Brown, S. Shtrieman, and D. Treves, J. Appl. Phys. 34, 1233 (1963).
[CrossRef]

Shvets, G.

A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, Phys. Rev. Lett. 105, 126804 (2010).
[CrossRef]

Stefanou, N.

A. Christofi and N. Stefanou, Phys. Rev. B 87, 115125 (2013).
[CrossRef]

N. Stefanou, V. Yannopapas, and A. Modinos, Comput. Phys. Commun. 132, 189 (2000).
[CrossRef]

N. Stefanou, V. Yannopapas, and A. Modinos, Comput. Phys. Commun. 113, 49 (1998).
[CrossRef]

V. Karathanos, N. Stefanou, and A. Modinos, J. Mod. Opt. 42, 619 (1995).
[CrossRef]

Szaller, D.

D. Szaller, S. Bordács, and I. Kézsmárki, Phys. Rev. B 87, 014421 (2013).
[CrossRef]

Thepot, J.-Y.

M. Vallet, R. Ghosh, A. Le Floch, T. Ruchon, F. Bretenaker, and J.-Y. Thepot, Phys. Rev. Lett. 87, 183003 (2001).
[CrossRef]

Train, C.

C. Train, R. Gheorghe, V. Krstic, L.-M. Chamoreau, N. S. Ovanesyan, G. L. J. A. Rikken, M. Gruselle, and M. Verdaguer, Nat. Mater. 7, 729 (2008).
[CrossRef]

Treves, D.

W. F. Brown, S. Shtrieman, and D. Treves, J. Appl. Phys. 34, 1233 (1963).
[CrossRef]

Uchida, H.

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, Phys. Rev. B. 78, 193102 (2008).
[CrossRef]

Vallet, M.

M. Vallet, R. Ghosh, A. Le Floch, T. Ruchon, F. Bretenaker, and J.-Y. Thepot, Phys. Rev. Lett. 87, 183003 (2001).
[CrossRef]

Verdaguer, M.

C. Train, R. Gheorghe, V. Krstic, L.-M. Chamoreau, N. S. Ovanesyan, G. L. J. A. Rikken, M. Gruselle, and M. Verdaguer, Nat. Mater. 7, 729 (2008).
[CrossRef]

Vitebsky, I.

A. Figotin and I. Vitebsky, Phys. Rev. E 63, 066609 (2001).
[CrossRef]

Vrbancich, J.

L. D. Barron and J. Vrbancich, Mol. Phys. 51, 715 (1984).
[CrossRef]

Wagnière, G.

G. Wagnière and A. Meier, Chem. Phys. Lett. 93, 78 (1982).
[CrossRef]

Wagnière, G. H.

N. K. Kalugin, P. Kleindienst, and G. H. Wagnière, Chem. Phys. 248, 105 (1999).
[CrossRef]

P. Kleindienst and G. H. Wagnière, Chem. Phys. Lett. 288, 89 (1998).
[CrossRef]

Ya. Zel’Dovich, B.

N. B. Baranova and B. Ya. Zel’Dovich, Mol. Phys. 38, 1085 (1979).
[CrossRef]

N. B. Baranova, Yu. V. Bogdanov, and B. Ya. Zel’Dovich, Opt. Commun. 22, 243 (1977).
[CrossRef]

Yahya, N.

N. Yahya, R. M. Al Habashi, K. Koziol, R. D. Borkowski, M. N. Akhtar, M. Kashif, and M. Hashim, J. Nanosci. Nanotechnol. 11, 2652 (2011).
[CrossRef]

Yannopapas, V.

N. Stefanou, V. Yannopapas, and A. Modinos, Comput. Phys. Commun. 132, 189 (2000).
[CrossRef]

N. Stefanou, V. Yannopapas, and A. Modinos, Comput. Phys. Commun. 113, 49 (1998).
[CrossRef]

Yin, W.

R. J. Ji, W. Yin, C. Fang, and Y. Zeng, J. Mater. Chem. C 1, 1763 (2013).

Yoshie, T.

Yu, Z.

Zeng, Y.

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Figures (4)

Fig. 1.
Fig. 1.

Photonic band structure along the [001] direction of a tetragonal crystal with a basis of four unmagnetized lossless garnet spheres, of radius S, in a helical arrangement in the unit cell as shown in the margin (c/a=2, b/a=0.25, S/a=0.25). An enlarged view of the dispersion diagram in the region of the narrow bands is also displayed.

Fig. 2.
Fig. 2.

Left-hand diagram: An enlarged view of the dispersion diagram of Fig. 1 below the gap that separates the extended from the flat bands. Right-hand diagram: Ellipticity and azimuth rotation angles of the transmitted wave for light linearly polarized along the x axis, incident normally on a (001) slab of the crystal consisting of 64 layers of spheres, including dissipative losses. The azimuth rotation angle is calculated from the dispersion diagram (dotted line) and directly obtained from the transmitted wave (solid lines).

Fig. 3.
Fig. 3.

Same as in Fig. 2 for garnet spheres magnetized along the z direction. The corresponding variations of the ellipticity and azimuth rotation angles are displayed for both forward (+) and backward () transmitted waves.

Fig. 4.
Fig. 4.

Magnetochiral dichroism of (001) slabs of the crystal of magnetic garnet spheres under consideration, at normal incidence, near the top of the bands of Fig. 3. Dotted lines: 32 layers thick slab. Solid lines: 64 layers thick slab. Dashed lines: 1024 layers thick slab.

Equations (1)

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ϵg=ϵr(1ig0ig10001),

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