Abstract

In this Letter we present results of theoretical and experimental studies of whispering-gallery modes in optical microdisk resonators interacting with subwavelength dielectric particles. We predict theoretically and confirm by direct observations that, contrary to the generally accepted models, both peaks of the particle-induced doublet of resonances are redshifted with respect to the position of the initial resonance.

© 2011 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2011 (1)

X. Yi, Y.-F. Xiao, Y.-C. Liu, B.-B. Li, Y.-L. Chen, Y. Li, and Q. Gong, Phys. Rev. A 83, 023803 (2011).
[CrossRef]

2010 (5)

J. Zhu, Şahin Kaya Özdemir, L. He, and L. Yang, Opt. Express 18, 23535 (2010).
[CrossRef] [PubMed]

J. T. Rubin and L. Deych, Phys. Rev. A 81, 053827 (2010).
[CrossRef]

W. Kim, Şahin Kaya Özdemir, J. Zhu, L. He, and L. Yang, Appl. Phys. Lett. 97, 071111 (2010).
[CrossRef]

J. Zhu, S. K. Ozdemir, Y.-F. Xiao, L. Li, L. He, D.-R. Chen, and L. Yang, Nat. Photonics 4, 122 (2010).
[CrossRef]

X. Yi, Y.-F. Xiao, Y. Li, Y.-C. Liu, B.-B. Li, Z.-P. Liu, and Q. Gong, Appl. Phys. Lett. 97, 203705 (2010).
[CrossRef]

2009 (4)

I. Teraoka and S. Arnold, J. Opt. Soc. Am. B 26, 1321 (2009).
[CrossRef]

B. Koch, Y. Yi, J.-Y. Zhang, S. Znameroski, and T. Smith, Appl. Phys. Lett. 95, 201111 (2009).
[CrossRef]

L. Deych and J. Rubin, Phys. Rev. A 80, 061805 (2009).
[CrossRef]

C. P. Dettmann, G. V. Morozov, M. Sieber, and H. Waalkens, Phys. Rev. A 80, 063813 (2009).
[CrossRef]

2008 (3)

L. Chantada, N. I. Nikolaev, A. L. Ivanov, P. Borri, and W. Langbein, J. Opt. Soc. Am. B 25, 1312 (2008).
[CrossRef]

L. I. Deych, C. Schmidt, A. Chipouline, T. Pertsch, and A. Tünnermann, Phys. Rev. A 77, 051801 (2008).
[CrossRef]

F. Vollmer and S. Arnold, Nat. Methods 5, 591 (2008).
[CrossRef] [PubMed]

2007 (1)

A. Mazzei, S. Götzinger, L. de S. Menezes, G. Zumofen, O. Benson, and V. Sandoghdar, Phys. Rev. Lett. 99, 173603(2007).
[CrossRef] [PubMed]

2005 (1)

2003 (1)

K. J. Vahala, Nature 424, 839 (2003).
[CrossRef] [PubMed]

Arnold, S.

Benson, O.

A. Mazzei, S. Götzinger, L. de S. Menezes, G. Zumofen, O. Benson, and V. Sandoghdar, Phys. Rev. Lett. 99, 173603(2007).
[CrossRef] [PubMed]

Borri, P.

Borselli, M.

Chantada, L.

Chen, D.-R.

J. Zhu, S. K. Ozdemir, Y.-F. Xiao, L. Li, L. He, D.-R. Chen, and L. Yang, Nat. Photonics 4, 122 (2010).
[CrossRef]

Chen, Y.-L.

X. Yi, Y.-F. Xiao, Y.-C. Liu, B.-B. Li, Y.-L. Chen, Y. Li, and Q. Gong, Phys. Rev. A 83, 023803 (2011).
[CrossRef]

Chipouline, A.

L. I. Deych, C. Schmidt, A. Chipouline, T. Pertsch, and A. Tünnermann, Phys. Rev. A 77, 051801 (2008).
[CrossRef]

de S. Menezes, L.

A. Mazzei, S. Götzinger, L. de S. Menezes, G. Zumofen, O. Benson, and V. Sandoghdar, Phys. Rev. Lett. 99, 173603(2007).
[CrossRef] [PubMed]

Dettmann, C. P.

C. P. Dettmann, G. V. Morozov, M. Sieber, and H. Waalkens, Phys. Rev. A 80, 063813 (2009).
[CrossRef]

Deych, L.

J. T. Rubin and L. Deych, Phys. Rev. A 81, 053827 (2010).
[CrossRef]

L. Deych and J. Rubin, Phys. Rev. A 80, 061805 (2009).
[CrossRef]

Deych, L. I.

L. I. Deych, C. Schmidt, A. Chipouline, T. Pertsch, and A. Tünnermann, Phys. Rev. A 77, 051801 (2008).
[CrossRef]

Gong, Q.

X. Yi, Y.-F. Xiao, Y.-C. Liu, B.-B. Li, Y.-L. Chen, Y. Li, and Q. Gong, Phys. Rev. A 83, 023803 (2011).
[CrossRef]

X. Yi, Y.-F. Xiao, Y. Li, Y.-C. Liu, B.-B. Li, Z.-P. Liu, and Q. Gong, Appl. Phys. Lett. 97, 203705 (2010).
[CrossRef]

Götzinger, S.

A. Mazzei, S. Götzinger, L. de S. Menezes, G. Zumofen, O. Benson, and V. Sandoghdar, Phys. Rev. Lett. 99, 173603(2007).
[CrossRef] [PubMed]

He, L.

W. Kim, Şahin Kaya Özdemir, J. Zhu, L. He, and L. Yang, Appl. Phys. Lett. 97, 071111 (2010).
[CrossRef]

J. Zhu, S. K. Ozdemir, Y.-F. Xiao, L. Li, L. He, D.-R. Chen, and L. Yang, Nat. Photonics 4, 122 (2010).
[CrossRef]

J. Zhu, Şahin Kaya Özdemir, L. He, and L. Yang, Opt. Express 18, 23535 (2010).
[CrossRef] [PubMed]

Ivanov, A. L.

Johnson, T.

Kim, W.

W. Kim, Şahin Kaya Özdemir, J. Zhu, L. He, and L. Yang, Appl. Phys. Lett. 97, 071111 (2010).
[CrossRef]

Koch, B.

B. Koch, Y. Yi, J.-Y. Zhang, S. Znameroski, and T. Smith, Appl. Phys. Lett. 95, 201111 (2009).
[CrossRef]

Langbein, W.

Li, B.-B.

X. Yi, Y.-F. Xiao, Y.-C. Liu, B.-B. Li, Y.-L. Chen, Y. Li, and Q. Gong, Phys. Rev. A 83, 023803 (2011).
[CrossRef]

X. Yi, Y.-F. Xiao, Y. Li, Y.-C. Liu, B.-B. Li, Z.-P. Liu, and Q. Gong, Appl. Phys. Lett. 97, 203705 (2010).
[CrossRef]

Li, L.

J. Zhu, S. K. Ozdemir, Y.-F. Xiao, L. Li, L. He, D.-R. Chen, and L. Yang, Nat. Photonics 4, 122 (2010).
[CrossRef]

Li, Y.

X. Yi, Y.-F. Xiao, Y.-C. Liu, B.-B. Li, Y.-L. Chen, Y. Li, and Q. Gong, Phys. Rev. A 83, 023803 (2011).
[CrossRef]

X. Yi, Y.-F. Xiao, Y. Li, Y.-C. Liu, B.-B. Li, Z.-P. Liu, and Q. Gong, Appl. Phys. Lett. 97, 203705 (2010).
[CrossRef]

Liu, Y.-C.

X. Yi, Y.-F. Xiao, Y.-C. Liu, B.-B. Li, Y.-L. Chen, Y. Li, and Q. Gong, Phys. Rev. A 83, 023803 (2011).
[CrossRef]

X. Yi, Y.-F. Xiao, Y. Li, Y.-C. Liu, B.-B. Li, Z.-P. Liu, and Q. Gong, Appl. Phys. Lett. 97, 203705 (2010).
[CrossRef]

Liu, Z.-P.

X. Yi, Y.-F. Xiao, Y. Li, Y.-C. Liu, B.-B. Li, Z.-P. Liu, and Q. Gong, Appl. Phys. Lett. 97, 203705 (2010).
[CrossRef]

Mazzei, A.

A. Mazzei, S. Götzinger, L. de S. Menezes, G. Zumofen, O. Benson, and V. Sandoghdar, Phys. Rev. Lett. 99, 173603(2007).
[CrossRef] [PubMed]

Morozov, G. V.

C. P. Dettmann, G. V. Morozov, M. Sieber, and H. Waalkens, Phys. Rev. A 80, 063813 (2009).
[CrossRef]

Nikolaev, N. I.

Ozdemir, S. K.

J. Zhu, S. K. Ozdemir, Y.-F. Xiao, L. Li, L. He, D.-R. Chen, and L. Yang, Nat. Photonics 4, 122 (2010).
[CrossRef]

Özdemir, Sahin Kaya

W. Kim, Şahin Kaya Özdemir, J. Zhu, L. He, and L. Yang, Appl. Phys. Lett. 97, 071111 (2010).
[CrossRef]

J. Zhu, Şahin Kaya Özdemir, L. He, and L. Yang, Opt. Express 18, 23535 (2010).
[CrossRef] [PubMed]

Painter, O.

Pertsch, T.

L. I. Deych, C. Schmidt, A. Chipouline, T. Pertsch, and A. Tünnermann, Phys. Rev. A 77, 051801 (2008).
[CrossRef]

Rubin, J.

L. Deych and J. Rubin, Phys. Rev. A 80, 061805 (2009).
[CrossRef]

Rubin, J. T.

J. T. Rubin and L. Deych, Phys. Rev. A 81, 053827 (2010).
[CrossRef]

Sandoghdar, V.

A. Mazzei, S. Götzinger, L. de S. Menezes, G. Zumofen, O. Benson, and V. Sandoghdar, Phys. Rev. Lett. 99, 173603(2007).
[CrossRef] [PubMed]

Schmidt, C.

L. I. Deych, C. Schmidt, A. Chipouline, T. Pertsch, and A. Tünnermann, Phys. Rev. A 77, 051801 (2008).
[CrossRef]

Sieber, M.

C. P. Dettmann, G. V. Morozov, M. Sieber, and H. Waalkens, Phys. Rev. A 80, 063813 (2009).
[CrossRef]

Smith, T.

B. Koch, Y. Yi, J.-Y. Zhang, S. Znameroski, and T. Smith, Appl. Phys. Lett. 95, 201111 (2009).
[CrossRef]

Teraoka, I.

Tünnermann, A.

L. I. Deych, C. Schmidt, A. Chipouline, T. Pertsch, and A. Tünnermann, Phys. Rev. A 77, 051801 (2008).
[CrossRef]

Vahala, K. J.

K. J. Vahala, Nature 424, 839 (2003).
[CrossRef] [PubMed]

Vollmer, F.

F. Vollmer and S. Arnold, Nat. Methods 5, 591 (2008).
[CrossRef] [PubMed]

Waalkens, H.

C. P. Dettmann, G. V. Morozov, M. Sieber, and H. Waalkens, Phys. Rev. A 80, 063813 (2009).
[CrossRef]

Xiao, Y.-F.

X. Yi, Y.-F. Xiao, Y.-C. Liu, B.-B. Li, Y.-L. Chen, Y. Li, and Q. Gong, Phys. Rev. A 83, 023803 (2011).
[CrossRef]

X. Yi, Y.-F. Xiao, Y. Li, Y.-C. Liu, B.-B. Li, Z.-P. Liu, and Q. Gong, Appl. Phys. Lett. 97, 203705 (2010).
[CrossRef]

J. Zhu, S. K. Ozdemir, Y.-F. Xiao, L. Li, L. He, D.-R. Chen, and L. Yang, Nat. Photonics 4, 122 (2010).
[CrossRef]

Yang, L.

J. Zhu, S. K. Ozdemir, Y.-F. Xiao, L. Li, L. He, D.-R. Chen, and L. Yang, Nat. Photonics 4, 122 (2010).
[CrossRef]

W. Kim, Şahin Kaya Özdemir, J. Zhu, L. He, and L. Yang, Appl. Phys. Lett. 97, 071111 (2010).
[CrossRef]

J. Zhu, Şahin Kaya Özdemir, L. He, and L. Yang, Opt. Express 18, 23535 (2010).
[CrossRef] [PubMed]

Yi, X.

X. Yi, Y.-F. Xiao, Y.-C. Liu, B.-B. Li, Y.-L. Chen, Y. Li, and Q. Gong, Phys. Rev. A 83, 023803 (2011).
[CrossRef]

X. Yi, Y.-F. Xiao, Y. Li, Y.-C. Liu, B.-B. Li, Z.-P. Liu, and Q. Gong, Appl. Phys. Lett. 97, 203705 (2010).
[CrossRef]

Yi, Y.

B. Koch, Y. Yi, J.-Y. Zhang, S. Znameroski, and T. Smith, Appl. Phys. Lett. 95, 201111 (2009).
[CrossRef]

Zhang, J.-Y.

B. Koch, Y. Yi, J.-Y. Zhang, S. Znameroski, and T. Smith, Appl. Phys. Lett. 95, 201111 (2009).
[CrossRef]

Zhu, J.

J. Zhu, S. K. Ozdemir, Y.-F. Xiao, L. Li, L. He, D.-R. Chen, and L. Yang, Nat. Photonics 4, 122 (2010).
[CrossRef]

W. Kim, Şahin Kaya Özdemir, J. Zhu, L. He, and L. Yang, Appl. Phys. Lett. 97, 071111 (2010).
[CrossRef]

J. Zhu, Şahin Kaya Özdemir, L. He, and L. Yang, Opt. Express 18, 23535 (2010).
[CrossRef] [PubMed]

Znameroski, S.

B. Koch, Y. Yi, J.-Y. Zhang, S. Znameroski, and T. Smith, Appl. Phys. Lett. 95, 201111 (2009).
[CrossRef]

Zumofen, G.

A. Mazzei, S. Götzinger, L. de S. Menezes, G. Zumofen, O. Benson, and V. Sandoghdar, Phys. Rev. Lett. 99, 173603(2007).
[CrossRef] [PubMed]

Appl. Phys. Lett. (3)

B. Koch, Y. Yi, J.-Y. Zhang, S. Znameroski, and T. Smith, Appl. Phys. Lett. 95, 201111 (2009).
[CrossRef]

W. Kim, Şahin Kaya Özdemir, J. Zhu, L. He, and L. Yang, Appl. Phys. Lett. 97, 071111 (2010).
[CrossRef]

X. Yi, Y.-F. Xiao, Y. Li, Y.-C. Liu, B.-B. Li, Z.-P. Liu, and Q. Gong, Appl. Phys. Lett. 97, 203705 (2010).
[CrossRef]

J. Opt. Soc. Am. B (2)

Nat. Methods (1)

F. Vollmer and S. Arnold, Nat. Methods 5, 591 (2008).
[CrossRef] [PubMed]

Nat. Photonics (1)

J. Zhu, S. K. Ozdemir, Y.-F. Xiao, L. Li, L. He, D.-R. Chen, and L. Yang, Nat. Photonics 4, 122 (2010).
[CrossRef]

Nature (1)

K. J. Vahala, Nature 424, 839 (2003).
[CrossRef] [PubMed]

Opt. Express (2)

Phys. Rev. A (5)

X. Yi, Y.-F. Xiao, Y.-C. Liu, B.-B. Li, Y.-L. Chen, Y. Li, and Q. Gong, Phys. Rev. A 83, 023803 (2011).
[CrossRef]

L. I. Deych, C. Schmidt, A. Chipouline, T. Pertsch, and A. Tünnermann, Phys. Rev. A 77, 051801 (2008).
[CrossRef]

C. P. Dettmann, G. V. Morozov, M. Sieber, and H. Waalkens, Phys. Rev. A 80, 063813 (2009).
[CrossRef]

L. Deych and J. Rubin, Phys. Rev. A 80, 061805 (2009).
[CrossRef]

J. T. Rubin and L. Deych, Phys. Rev. A 81, 053827 (2010).
[CrossRef]

Phys. Rev. Lett. (1)

A. Mazzei, S. Götzinger, L. de S. Menezes, G. Zumofen, O. Benson, and V. Sandoghdar, Phys. Rev. Lett. 99, 173603(2007).
[CrossRef] [PubMed]

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Figures (2)

Fig. 1
Fig. 1

Schematic of a structure used in measurements. Disk is of radius R 1 = 4 μm , and thickness 160 nm . Silicon nanoparticles have average radius of 100 nm .

Fig. 2
Fig. 2

Spectra of a signal in a through port of the bus waveguide (solid line, zero particle; dashed line, 21 particles; dashed-dotted line, 33 particles).

Equations (4)

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

b M ( ± ) = a M [ α M ( 1 ) ] 1 α 1 ( 2 ) ( t M , 1 ± t M , 1 ) 2 , ( TE ) ,
b M ( + ) = a M [ α M ( 1 ) ] 1 2 α 0 ( 2 ) t M , 0 2 , b M ( ) = a M α M ( 1 ) , ( TM ) .
ω M , T E ( ± ) ω M γ M p 1 ( t M , 1 ± t M , 1 ) 2 i γ M [ 1 + p 1 2 ( t M , 1 ± t M , 1 ) 2 ] ,
ω M , T M ( + ) ω M 2 γ M p 0 t M , 0 2 i γ M [ 1 + 2 p 0 2 t M , 0 2 ] .

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