Abstract

From analysis of the high Q modes in a Bragg onion resonator with an omnidirectional reflector cladding, we establish a close analogy between such a resonator and a spherical hollow cavity in perfect metal. We demonstrate that onion resonators are ideal for applications that require a large spontaneous-emission factor β, such as thresholdless lasers and single-photon devices.

© 2004 Optical Society of America

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References

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  2. J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
    [CrossRef]
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2003 (2)

2002 (1)

2001 (2)

A. Kiraz, P. Michler, C. Becher, B. Garyral, A. Imamoǧlu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

M. A. Kaliteevski, S. Brand, R. A. Abram, and V. V. Nikolaev, J. Mod. Opt. 48, 1503 (2001).
[CrossRef]

1998 (2)

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

J. N. Winn, Y. Fink, S. Fan, and J. D. Joannopoulos, Opt. Lett. 23, 1573 (1998).
[CrossRef]

1996 (1)

M. P. van Exter, G. Niehuis, and J. P. Woerdman, Phys. Rev. A 54, 3553 (1996).
[CrossRef] [PubMed]

1993 (1)

1991 (1)

Y. Yamamoto, S. Machida, and G. Björk, Phys. Rev. A 44, 657 (1991).
[CrossRef] [PubMed]

Abram, R. A.

M. A. Kaliteevski, S. Brand, R. A. Abram, and V. V. Nikolaev, J. Mod. Opt. 48, 1503 (2001).
[CrossRef]

Bayart, D.

E. Desurvire, D. Bayart, B. Desthieux, and S. Bigo, Erbium-Doped Fiber Amplifiers, Device and System Developments (Wiley, New York, 2002).

Becher, C.

A. Kiraz, P. Michler, C. Becher, B. Garyral, A. Imamoǧlu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Bigo, S.

E. Desurvire, D. Bayart, B. Desthieux, and S. Bigo, Erbium-Doped Fiber Amplifiers, Device and System Developments (Wiley, New York, 2002).

Björk, G.

Y. Yamamoto, S. Machida, and G. Björk, Phys. Rev. A 44, 657 (1991).
[CrossRef] [PubMed]

Brady, D.

Brand, S.

M. A. Kaliteevski, S. Brand, R. A. Abram, and V. V. Nikolaev, J. Mod. Opt. 48, 1503 (2001).
[CrossRef]

Buck, J. R.

J. R. Buck and H. J. Kimble, Phys. Rev. A 67, 033806 (2003).
[CrossRef]

Costard, E.

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Desthieux, B.

E. Desurvire, D. Bayart, B. Desthieux, and S. Bigo, Erbium-Doped Fiber Amplifiers, Device and System Developments (Wiley, New York, 2002).

Desurvire, E.

E. Desurvire, D. Bayart, B. Desthieux, and S. Bigo, Erbium-Doped Fiber Amplifiers, Device and System Developments (Wiley, New York, 2002).

Fan, S.

Fink, Y.

Fleming, J. G.

Fuller, K. A.

Garyral, B.

A. Kiraz, P. Michler, C. Becher, B. Garyral, A. Imamoǧlu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Gayral, B.

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Gérard, J. M.

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Hu, E.

A. Kiraz, P. Michler, C. Becher, B. Garyral, A. Imamoǧlu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Imamoglu, A.

A. Kiraz, P. Michler, C. Becher, B. Garyral, A. Imamoǧlu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, New York, 1999).

Joannopoulos, J. D.

Kaliteevski, M. A.

M. A. Kaliteevski, S. Brand, R. A. Abram, and V. V. Nikolaev, J. Mod. Opt. 48, 1503 (2001).
[CrossRef]

Kimble, H. J.

J. R. Buck and H. J. Kimble, Phys. Rev. A 67, 033806 (2003).
[CrossRef]

Kiraz, A.

A. Kiraz, P. Michler, C. Becher, B. Garyral, A. Imamoǧlu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Legrand, B.

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Liang, W.

Lin, S.

Machida, S.

Y. Yamamoto, S. Machida, and G. Björk, Phys. Rev. A 44, 657 (1991).
[CrossRef] [PubMed]

Michler, P.

A. Kiraz, P. Michler, C. Becher, B. Garyral, A. Imamoǧlu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Niehuis, G.

M. P. van Exter, G. Niehuis, and J. P. Woerdman, Phys. Rev. A 54, 3553 (1996).
[CrossRef] [PubMed]

Nikolaev, V. V.

M. A. Kaliteevski, S. Brand, R. A. Abram, and V. V. Nikolaev, J. Mod. Opt. 48, 1503 (2001).
[CrossRef]

Papen, G.

Petroff, P. M.

A. Kiraz, P. Michler, C. Becher, B. Garyral, A. Imamoǧlu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Schoenfeld, W. V.

A. Kiraz, P. Michler, C. Becher, B. Garyral, A. Imamoǧlu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Sermage, B.

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Sipe, J. E.

Smith, D. D.

Thierry-Mieg, V.

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

van Exter, M. P.

M. P. van Exter, G. Niehuis, and J. P. Woerdman, Phys. Rev. A 54, 3553 (1996).
[CrossRef] [PubMed]

Winn, J. N.

Woerdman, J. P.

M. P. van Exter, G. Niehuis, and J. P. Woerdman, Phys. Rev. A 54, 3553 (1996).
[CrossRef] [PubMed]

Xu, Y.

Yamamoto, Y.

Y. Yamamoto, S. Machida, and G. Björk, Phys. Rev. A 44, 657 (1991).
[CrossRef] [PubMed]

Yariv, A.

Zhang, L.

A. Kiraz, P. Michler, C. Becher, B. Garyral, A. Imamoǧlu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

Appl. Phys. Lett. (1)

A. Kiraz, P. Michler, C. Becher, B. Garyral, A. Imamoǧlu, L. Zhang, E. Hu, W. V. Schoenfeld, and P. M. Petroff, Appl. Phys. Lett. 78, 3932 (2001).
[CrossRef]

J. Mod. Opt. (1)

M. A. Kaliteevski, S. Brand, R. A. Abram, and V. V. Nikolaev, J. Mod. Opt. 48, 1503 (2001).
[CrossRef]

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

Opt. Lett. (2)

Phys. Rev. A (3)

Y. Yamamoto, S. Machida, and G. Björk, Phys. Rev. A 44, 657 (1991).
[CrossRef] [PubMed]

J. R. Buck and H. J. Kimble, Phys. Rev. A 67, 033806 (2003).
[CrossRef]

M. P. van Exter, G. Niehuis, and J. P. Woerdman, Phys. Rev. A 54, 3553 (1996).
[CrossRef] [PubMed]

Phys. Rev. Lett. (1)

J. M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Other (2)

E. Desurvire, D. Bayart, B. Desthieux, and S. Bigo, Erbium-Doped Fiber Amplifiers, Device and System Developments (Wiley, New York, 2002).

J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, New York, 1999).

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Figures (2)

Fig. 1
Fig. 1

Scanning electron microscope images of (a) an air-core Bragg onion resonator with Si/SiO2 cladding pairs and (b) image of the onion resonator cladding, which corresponds to the region within the dashed circle in (a).

Fig. 2
Fig. 2

(a) TE field of several high Q modes in an onion cavity. (b) The resonance wavelength of the onion modes as a function of the angular modal number l, together with the wavelength of resonant modes in a hollow spherical cavity in perfect metal. (c) Cladding modes of the onion structure.

Equations (3)

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rr jlkr|r=rco  for TM modes, jlkrco=0  for TE modes,
Oln=n+l-12+δl,1for TM modesn+l2for TE modes,
γresγbulk14π2λ3V11Q+Γω,

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