Abstract

We present a Wannier-function-based time-domain method for photonic-crystal integrated optical circuits. In contrast to other approaches, this method allows one to trade CPU time against memory consumption and therefore is particularly well suited for the treatment of large-scale systems. As an illustration, we apply the method to the design of a photonic-crystal-based sensor, which utilizes a dual Mach–Zehnder–Fano interferometer.

© 2011 Optical Society of America

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  1. K. Busch, G. von Freymann, S. Linden, S. F. Mingaleev, L. Tkeshelashvili, and M. Wegener, Phys. Rep. 444, 101 (2007).
    [CrossRef]
  2. K. Busch, S. F. Mingaleev, M. Schillinger, and D. Hermann, J. Phys. Condens. Matter 15, R1233 (2003).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  6. A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
    [CrossRef]
  7. A. Quarteroni, Numerical Mathematics (Springer, 2009).
  8. O. Schenk and K. Gärtner, Electron. Trans. Numer. Anal. 23, 158 (2006).
  9. G. L. G. Sleijpen and D. Fokkema, Electron. Trans. Numer. Anal. 1, 11 (1993).
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    [CrossRef]
  11. A. F. Oskooi, L. Zhang, Y. Avniel, and S. G. Johnson, Opt. Express 16, 11376 (2008).
    [CrossRef]
  12. A. E. Miroshnichenko and Yu. S. Kivshar, Appl. Phys. Lett. 95, 121109 (2009).
    [CrossRef]
  13. M. S. Muradoglu, A. R. Baghai-Wadji, and T. W. Ng, J. Opt. Soc. Am. A 27, 757 (2010).

2010

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

M. S. Muradoglu, A. R. Baghai-Wadji, and T. W. Ng, J. Opt. Soc. Am. A 27, 757 (2010).

2009

A. E. Miroshnichenko and Yu. S. Kivshar, Appl. Phys. Lett. 95, 121109 (2009).
[CrossRef]

2008

2007

K. Busch, G. von Freymann, S. Linden, S. F. Mingaleev, L. Tkeshelashvili, and M. Wegener, Phys. Rep. 444, 101 (2007).
[CrossRef]

2006

O. Schenk and K. Gärtner, Electron. Trans. Numer. Anal. 23, 158 (2006).

2005

2003

K. Busch, S. F. Mingaleev, M. Schillinger, and D. Hermann, J. Phys. Condens. Matter 15, R1233 (2003).
[CrossRef]

1993

G. L. G. Sleijpen and D. Fokkema, Electron. Trans. Numer. Anal. 1, 11 (1993).

Avniel, Y.

Baghai-Wadji, A. R.

Bermel, P.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

Blum, C.

K. Busch, C. Blum, A. M. Graham, D. Hermann, M. Köhl, P. Mack, and C. Wolff, J. Mod. Opt. , to be published.
[CrossRef]

Busch, K.

D. Hermann, M. Schillinger, S. F. Mingaleev, and K. Busch, J. Opt. Soc. Am. B 25, 202 (2008).
[CrossRef]

K. Busch, G. von Freymann, S. Linden, S. F. Mingaleev, L. Tkeshelashvili, and M. Wegener, Phys. Rep. 444, 101 (2007).
[CrossRef]

K. Busch, S. F. Mingaleev, M. Schillinger, and D. Hermann, J. Phys. Condens. Matter 15, R1233 (2003).
[CrossRef]

K. Busch, C. Blum, A. M. Graham, D. Hermann, M. Köhl, P. Mack, and C. Wolff, J. Mod. Opt. , to be published.
[CrossRef]

Fan, S.

Fokkema, D.

G. L. G. Sleijpen and D. Fokkema, Electron. Trans. Numer. Anal. 1, 11 (1993).

Gärtner, K.

O. Schenk and K. Gärtner, Electron. Trans. Numer. Anal. 23, 158 (2006).

Graham, A. M.

K. Busch, C. Blum, A. M. Graham, D. Hermann, M. Köhl, P. Mack, and C. Wolff, J. Mod. Opt. , to be published.
[CrossRef]

Hermann, D.

D. Hermann, M. Schillinger, S. F. Mingaleev, and K. Busch, J. Opt. Soc. Am. B 25, 202 (2008).
[CrossRef]

K. Busch, S. F. Mingaleev, M. Schillinger, and D. Hermann, J. Phys. Condens. Matter 15, R1233 (2003).
[CrossRef]

K. Busch, C. Blum, A. M. Graham, D. Hermann, M. Köhl, P. Mack, and C. Wolff, J. Mod. Opt. , to be published.
[CrossRef]

Ibanescu, M.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

Jiao, Y.

Joannopoulos, J. D.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

Johnson, S. G.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

A. F. Oskooi, L. Zhang, Y. Avniel, and S. G. Johnson, Opt. Express 16, 11376 (2008).
[CrossRef]

Kivshar, Yu. S.

A. E. Miroshnichenko and Yu. S. Kivshar, Appl. Phys. Lett. 95, 121109 (2009).
[CrossRef]

Köhl, M.

K. Busch, C. Blum, A. M. Graham, D. Hermann, M. Köhl, P. Mack, and C. Wolff, J. Mod. Opt. , to be published.
[CrossRef]

Linden, S.

K. Busch, G. von Freymann, S. Linden, S. F. Mingaleev, L. Tkeshelashvili, and M. Wegener, Phys. Rep. 444, 101 (2007).
[CrossRef]

Mack, P.

K. Busch, C. Blum, A. M. Graham, D. Hermann, M. Köhl, P. Mack, and C. Wolff, J. Mod. Opt. , to be published.
[CrossRef]

Miller, D. A. B.

Mingaleev, S. F.

D. Hermann, M. Schillinger, S. F. Mingaleev, and K. Busch, J. Opt. Soc. Am. B 25, 202 (2008).
[CrossRef]

K. Busch, G. von Freymann, S. Linden, S. F. Mingaleev, L. Tkeshelashvili, and M. Wegener, Phys. Rep. 444, 101 (2007).
[CrossRef]

K. Busch, S. F. Mingaleev, M. Schillinger, and D. Hermann, J. Phys. Condens. Matter 15, R1233 (2003).
[CrossRef]

Miroshnichenko, A. E.

A. E. Miroshnichenko and Yu. S. Kivshar, Appl. Phys. Lett. 95, 121109 (2009).
[CrossRef]

Muradoglu, M. S.

Ng, T. W.

Oskooi, A. F.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

A. F. Oskooi, L. Zhang, Y. Avniel, and S. G. Johnson, Opt. Express 16, 11376 (2008).
[CrossRef]

Quarteroni, A.

A. Quarteroni, Numerical Mathematics (Springer, 2009).

Roundy, D.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

Schenk, O.

O. Schenk and K. Gärtner, Electron. Trans. Numer. Anal. 23, 158 (2006).

Schillinger, M.

D. Hermann, M. Schillinger, S. F. Mingaleev, and K. Busch, J. Opt. Soc. Am. B 25, 202 (2008).
[CrossRef]

K. Busch, S. F. Mingaleev, M. Schillinger, and D. Hermann, J. Phys. Condens. Matter 15, R1233 (2003).
[CrossRef]

Sleijpen, G. L. G.

G. L. G. Sleijpen and D. Fokkema, Electron. Trans. Numer. Anal. 1, 11 (1993).

Tkeshelashvili, L.

K. Busch, G. von Freymann, S. Linden, S. F. Mingaleev, L. Tkeshelashvili, and M. Wegener, Phys. Rep. 444, 101 (2007).
[CrossRef]

von Freymann, G.

K. Busch, G. von Freymann, S. Linden, S. F. Mingaleev, L. Tkeshelashvili, and M. Wegener, Phys. Rep. 444, 101 (2007).
[CrossRef]

Wegener, M.

K. Busch, G. von Freymann, S. Linden, S. F. Mingaleev, L. Tkeshelashvili, and M. Wegener, Phys. Rep. 444, 101 (2007).
[CrossRef]

Wolff, C.

K. Busch, C. Blum, A. M. Graham, D. Hermann, M. Köhl, P. Mack, and C. Wolff, J. Mod. Opt. , to be published.
[CrossRef]

Zhang, L.

Appl. Phys. Lett.

A. E. Miroshnichenko and Yu. S. Kivshar, Appl. Phys. Lett. 95, 121109 (2009).
[CrossRef]

Comput. Phys. Commun.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

Electron. Trans. Numer. Anal.

O. Schenk and K. Gärtner, Electron. Trans. Numer. Anal. 23, 158 (2006).

G. L. G. Sleijpen and D. Fokkema, Electron. Trans. Numer. Anal. 1, 11 (1993).

J. Mod. Opt.

K. Busch, C. Blum, A. M. Graham, D. Hermann, M. Köhl, P. Mack, and C. Wolff, J. Mod. Opt. , to be published.
[CrossRef]

J. Opt. Soc. Am. A

J. Opt. Soc. Am. B

J. Phys. Condens. Matter

K. Busch, S. F. Mingaleev, M. Schillinger, and D. Hermann, J. Phys. Condens. Matter 15, R1233 (2003).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rep.

K. Busch, G. von Freymann, S. Linden, S. F. Mingaleev, L. Tkeshelashvili, and M. Wegener, Phys. Rep. 444, 101 (2007).
[CrossRef]

Other

A. Quarteroni, Numerical Mathematics (Springer, 2009).

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