Abstract

The mode characteristics for two coupled microdisks are investigated by the finite-difference time-domain technique. In the two coupled micodisks, mode coupling between the same order whispering-gallery modes (WGMs) results in coupled WGMs with split mode wavelengths. The numerical results show that the split mode wavelengths of the coupled first- and second-order WGMs can have a crossing point in some cases, which can induce anticrossing mode coupling between them and greatly reduce the mode Q factor of the coupled first-order WGMs. The time variation of mode field pattern shows the transformation between the coupled first- and second-order WGMs.

© 2007 Optical Society of America

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S. Ishii, A. Nakagawa, and T. Baba, IEEE J. Sel. Top. Quantum Electron. 12, 71 (2006).
[CrossRef]

E. I. Smotrova, A. I. Nosich, T. M. Benson, and P. Sewell, IEEE J. Sel. Top. Quantum Electron. 12, 78 (2006).
[CrossRef]

S. V. Boriskina, Opt. Lett. 31, 338 (2006).
[CrossRef] [PubMed]

E. I. Smotrova, A. I. Nosich, T. M. Benson, and P. Sewell, Opt. Lett. 31, 921 (2006).
[CrossRef] [PubMed]

2005 (2)

A. Nakagawa, S. Ishii, and T. Baba, Appl. Phys. Lett. 86, 041112 (2005).
[CrossRef]

S. Ishii and T. Baba, Appl. Phys. Lett. 87, 181102 (2005).
[CrossRef]

2004 (1)

2002 (1)

M. Hentschel and K. Richter, Phys. Rev. E 66, 056207 (2002).
[CrossRef]

2001 (1)

W. H. Guo, W. J. Li, and Y. Z. Huang, IEEE Microw. Wirel. Compon. Lett. 11, 223 (2001).
[CrossRef]

1999 (1)

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, and M. K. Gonokami, Phys. Rev. Lett. 82, 4623 (1999).
[CrossRef]

1998 (1)

M. Bayer, T. Gutbrod, J. P. Reithmaier, and A. Forchel, Phys. Rev. Lett. 81, 2582 (1998).
[CrossRef]

1997 (1)

S. C. Hagness, D. Rafizadeh, S. T. Ho, and A. Taflove, J. Lightwave Technol. 15, 2154 (1997).
[CrossRef]

1994 (1)

J. P. Berenger, J. Comput. Phys. 114, 185 (1994).
[CrossRef]

Astratov, V. N.

Baba, T.

S. Ishii, A. Nakagawa, and T. Baba, IEEE J. Sel. Top. Quantum Electron. 12, 71 (2006).
[CrossRef]

A. Nakagawa, S. Ishii, and T. Baba, Appl. Phys. Lett. 86, 041112 (2005).
[CrossRef]

S. Ishii and T. Baba, Appl. Phys. Lett. 87, 181102 (2005).
[CrossRef]

Bayer, M.

M. Bayer, T. Gutbrod, J. P. Reithmaier, and A. Forchel, Phys. Rev. Lett. 81, 2582 (1998).
[CrossRef]

Benson, T. M.

E. I. Smotrova, A. I. Nosich, T. M. Benson, and P. Sewell, IEEE J. Sel. Top. Quantum Electron. 12, 78 (2006).
[CrossRef]

E. I. Smotrova, A. I. Nosich, T. M. Benson, and P. Sewell, Opt. Lett. 31, 921 (2006).
[CrossRef] [PubMed]

Berenger, J. P.

J. P. Berenger, J. Comput. Phys. 114, 185 (1994).
[CrossRef]

Boriskina, S. V.

Cai, W.

Deng, S.

Forchel, A.

M. Bayer, T. Gutbrod, J. P. Reithmaier, and A. Forchel, Phys. Rev. Lett. 81, 2582 (1998).
[CrossRef]

Gonokami, M. K.

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, and M. K. Gonokami, Phys. Rev. Lett. 82, 4623 (1999).
[CrossRef]

Guo, W. H.

W. H. Guo, W. J. Li, and Y. Z. Huang, IEEE Microw. Wirel. Compon. Lett. 11, 223 (2001).
[CrossRef]

Gutbrod, T.

M. Bayer, T. Gutbrod, J. P. Reithmaier, and A. Forchel, Phys. Rev. Lett. 81, 2582 (1998).
[CrossRef]

Hagness, S. C.

S. C. Hagness, D. Rafizadeh, S. T. Ho, and A. Taflove, J. Lightwave Technol. 15, 2154 (1997).
[CrossRef]

Hentschel, M.

M. Hentschel and K. Richter, Phys. Rev. E 66, 056207 (2002).
[CrossRef]

Ho, S. T.

S. C. Hagness, D. Rafizadeh, S. T. Ho, and A. Taflove, J. Lightwave Technol. 15, 2154 (1997).
[CrossRef]

Huang, Y. Z.

W. H. Guo, W. J. Li, and Y. Z. Huang, IEEE Microw. Wirel. Compon. Lett. 11, 223 (2001).
[CrossRef]

Ishii, S.

S. Ishii, A. Nakagawa, and T. Baba, IEEE J. Sel. Top. Quantum Electron. 12, 71 (2006).
[CrossRef]

A. Nakagawa, S. Ishii, and T. Baba, Appl. Phys. Lett. 86, 041112 (2005).
[CrossRef]

S. Ishii and T. Baba, Appl. Phys. Lett. 87, 181102 (2005).
[CrossRef]

Jimba, Y.

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, and M. K. Gonokami, Phys. Rev. Lett. 82, 4623 (1999).
[CrossRef]

Li, W. J.

W. H. Guo, W. J. Li, and Y. Z. Huang, IEEE Microw. Wirel. Compon. Lett. 11, 223 (2001).
[CrossRef]

Miyazaki, H.

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, and M. K. Gonokami, Phys. Rev. Lett. 82, 4623 (1999).
[CrossRef]

Mukaiyama, T.

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, and M. K. Gonokami, Phys. Rev. Lett. 82, 4623 (1999).
[CrossRef]

Nakagawa, A.

S. Ishii, A. Nakagawa, and T. Baba, IEEE J. Sel. Top. Quantum Electron. 12, 71 (2006).
[CrossRef]

A. Nakagawa, S. Ishii, and T. Baba, Appl. Phys. Lett. 86, 041112 (2005).
[CrossRef]

Nosich, A. I.

E. I. Smotrova, A. I. Nosich, T. M. Benson, and P. Sewell, Opt. Lett. 31, 921 (2006).
[CrossRef] [PubMed]

E. I. Smotrova, A. I. Nosich, T. M. Benson, and P. Sewell, IEEE J. Sel. Top. Quantum Electron. 12, 78 (2006).
[CrossRef]

Rafizadeh, D.

S. C. Hagness, D. Rafizadeh, S. T. Ho, and A. Taflove, J. Lightwave Technol. 15, 2154 (1997).
[CrossRef]

Reithmaier, J. P.

M. Bayer, T. Gutbrod, J. P. Reithmaier, and A. Forchel, Phys. Rev. Lett. 81, 2582 (1998).
[CrossRef]

Richter, K.

M. Hentschel and K. Richter, Phys. Rev. E 66, 056207 (2002).
[CrossRef]

Sewell, P.

E. I. Smotrova, A. I. Nosich, T. M. Benson, and P. Sewell, IEEE J. Sel. Top. Quantum Electron. 12, 78 (2006).
[CrossRef]

E. I. Smotrova, A. I. Nosich, T. M. Benson, and P. Sewell, Opt. Lett. 31, 921 (2006).
[CrossRef] [PubMed]

Smotrova, E. I.

E. I. Smotrova, A. I. Nosich, T. M. Benson, and P. Sewell, Opt. Lett. 31, 921 (2006).
[CrossRef] [PubMed]

E. I. Smotrova, A. I. Nosich, T. M. Benson, and P. Sewell, IEEE J. Sel. Top. Quantum Electron. 12, 78 (2006).
[CrossRef]

Taflove, A.

S. C. Hagness, D. Rafizadeh, S. T. Ho, and A. Taflove, J. Lightwave Technol. 15, 2154 (1997).
[CrossRef]

Takeda, K.

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, and M. K. Gonokami, Phys. Rev. Lett. 82, 4623 (1999).
[CrossRef]

Appl. Phys. Lett. (2)

A. Nakagawa, S. Ishii, and T. Baba, Appl. Phys. Lett. 86, 041112 (2005).
[CrossRef]

S. Ishii and T. Baba, Appl. Phys. Lett. 87, 181102 (2005).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (2)

S. Ishii, A. Nakagawa, and T. Baba, IEEE J. Sel. Top. Quantum Electron. 12, 71 (2006).
[CrossRef]

E. I. Smotrova, A. I. Nosich, T. M. Benson, and P. Sewell, IEEE J. Sel. Top. Quantum Electron. 12, 78 (2006).
[CrossRef]

IEEE Microw. Wirel. Compon. Lett. (1)

W. H. Guo, W. J. Li, and Y. Z. Huang, IEEE Microw. Wirel. Compon. Lett. 11, 223 (2001).
[CrossRef]

J. Comput. Phys. (1)

J. P. Berenger, J. Comput. Phys. 114, 185 (1994).
[CrossRef]

J. Lightwave Technol. (1)

S. C. Hagness, D. Rafizadeh, S. T. Ho, and A. Taflove, J. Lightwave Technol. 15, 2154 (1997).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Phys. Rev. E (1)

M. Hentschel and K. Richter, Phys. Rev. E 66, 056207 (2002).
[CrossRef]

Phys. Rev. Lett. (2)

M. Bayer, T. Gutbrod, J. P. Reithmaier, and A. Forchel, Phys. Rev. Lett. 81, 2582 (1998).
[CrossRef]

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, and M. K. Gonokami, Phys. Rev. Lett. 82, 4623 (1999).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Schematic diagram of coupled microdisks with the perfect matched layer marked as the gray region.

Fig. 2
Fig. 2

Mode field distribution of H z over a half-period T for the coupled WGMs at f = 196.5 THz with the symmetry of [ + , + ] in the two coupled microdisks with radius R = 1 μ m , gap g = 0.1 μ m , and refractive index n = 3.2 . The corresponding time interval from (a) to (f) is T 10 .

Fig. 3
Fig. 3

(a) Mode wavelength and (b) mode Q factor versus the gap g for the coupled WGMs TE 9 , 1 and TE 6 , 2 with the symmetry of [ + , + ] . (c) Intensity spectrum obtained by the Padé approximation at g = 0.2 μ m ; fitted one and two Lorentzian peaks are plotted as the solid curve, the dashed curve, and the open squares. The two dotted curves are the two fitted Lorentzian peaks.

Fig. 4
Fig. 4

Mode field distribution of H z over a half-period T for the coupled mode with the symmetry of [ + , ] at f = 223.97 THz in two coupled microdisks with radius R = 1 μ m , refractive index n = 2.8 , and the gap g = 0.3 μ m . The corresponding time interval from (a) to (f) is T 10 .

Fig. 5
Fig. 5

(a) Mode wavelength and (b) mode Q factor versus the gap g for the coupled WGMs TE 9 , 1 and TE 6 , 2 with the symmetry of [ + , ] in two coupled microdisks with radius R = 1 μ m and refractive index n = 2.8 .

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