Abstract

We experimentally demonstrate a compact optical amplifier consisting of a rare-earth-doped whispering-gallery-mode microsphere coupled via a tapered fiber. A gain up to 20 dB is reported in an erbium-doped fluoride glass microsphere 135 μm in diameter. Below the amplification regime, the optical gain is used to compensate for unavoidable losses due to surface contamination or scattering. Quality factor as high as 2×109 has been measured by analyzing the transient response of the microsphere excited by a dynamically shifted frequency input signal.

© 2012 Optical Society of America

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2012 (2)

2010 (3)

L. He, S. K. Ozdemir, Y.-F. Xiao, and L. Yang, IEEE J. Quantum Electron. 46, 1626 (2010).
[CrossRef]

S. Trebaol, Y. Dumeige, and P. Féron, Phys. Rev. A 81, 043828 (2010).
[CrossRef]

K. Volyanskiy, P. Salzenstein, H. Tavernier, M. Pogurmirskiy, Y. K. Chembo, and L. Larger, Opt. Express 18, 22358 (2010).
[CrossRef]

2009 (1)

S. Trebaol, T. K. N. Nguyên, H. Tavernier, L. Ghişa, Y. Dumeige, and P. Féron, C.R. Physique 14, 964 (2009).
[CrossRef]

2008 (1)

2007 (3)

2006 (2)

I. S. Grudinin, V. S. Ilchenko, and L. Maleki, Phys. Rev. A 74, 063806 (2006).
[CrossRef]

A. B. Matsko and V. S. Ilchenko, IEEE J. Sel. Topics Quantum Electron. 12, 3 (2006).
[CrossRef]

2004 (1)

A. A. Savchenkov, A. B. Matsko, D. Strekalov, M. Mohageg, V. S. Ilchenko, and L. Maleki, Phys. Rev. Lett. 93, 243905 (2004).
[CrossRef]

2003 (1)

M. Mortier, P. Goldner, P. Féron, G. M. Stéphan, H. Xu, and Z. Cai, J. Non-Cryst. Solids 326 and 327, 505 (2003).
[CrossRef]

2002 (1)

K. Djordjev, S.-J. Choi, S.-J. Choi, and P. D. Dapkus, Appl. Phys. Lett. 80, 3467 (2002).
[CrossRef]

2001 (2)

F. Lissillour, R. Gabet, P. Féron, P. Besnard, and G. Stéphan, Europhys. Lett. 55, 499 (2001).
[CrossRef]

J. M. Choi, R. K. Lee, and A. Yariv, Opt. Lett. 26, 1236 (2001).
[CrossRef]

1997 (1)

1996 (1)

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

Berneschi, S.

Besnard, P.

F. Lissillour, R. Gabet, P. Féron, P. Besnard, and G. Stéphan, Europhys. Lett. 55, 499 (2001).
[CrossRef]

Bia, P.

Bretenaker, F.

Cai, Z.

M. Mortier, P. Goldner, P. Féron, G. M. Stéphan, H. Xu, and Z. Cai, J. Non-Cryst. Solids 326 and 327, 505 (2003).
[CrossRef]

Chembo, Y. K.

Choi, J. M.

Choi, S.-J.

K. Djordjev, S.-J. Choi, S.-J. Choi, and P. D. Dapkus, Appl. Phys. Lett. 80, 3467 (2002).
[CrossRef]

K. Djordjev, S.-J. Choi, S.-J. Choi, and P. D. Dapkus, Appl. Phys. Lett. 80, 3467 (2002).
[CrossRef]

Conti, G. Nunzi

Cosi, F.

Dapkus, P. D.

K. Djordjev, S.-J. Choi, S.-J. Choi, and P. D. Dapkus, Appl. Phys. Lett. 80, 3467 (2002).
[CrossRef]

De Sario, M.

Di Tommaso, A.

Djordjev, K.

K. Djordjev, S.-J. Choi, S.-J. Choi, and P. D. Dapkus, Appl. Phys. Lett. 80, 3467 (2002).
[CrossRef]

Dumeige, Y.

S. Trebaol, Y. Dumeige, and P. Féron, Phys. Rev. A 81, 043828 (2010).
[CrossRef]

S. Trebaol, T. K. N. Nguyên, H. Tavernier, L. Ghişa, Y. Dumeige, and P. Féron, C.R. Physique 14, 964 (2009).
[CrossRef]

Y. Dumeige, S. Trebaol, L. Ghişa, T. K. N. Nguyên, H. Tavernier, and P. Féron, J. Opt. Soc. Am. B 25, 2073 (2008).
[CrossRef]

Féron, P.

S. Trebaol, Y. Dumeige, and P. Féron, Phys. Rev. A 81, 043828 (2010).
[CrossRef]

S. Trebaol, T. K. N. Nguyên, H. Tavernier, L. Ghişa, Y. Dumeige, and P. Féron, C.R. Physique 14, 964 (2009).
[CrossRef]

Y. Dumeige, S. Trebaol, L. Ghişa, T. K. N. Nguyên, H. Tavernier, and P. Féron, J. Opt. Soc. Am. B 25, 2073 (2008).
[CrossRef]

M. Mortier, P. Goldner, P. Féron, G. M. Stéphan, H. Xu, and Z. Cai, J. Non-Cryst. Solids 326 and 327, 505 (2003).
[CrossRef]

F. Lissillour, R. Gabet, P. Féron, P. Besnard, and G. Stéphan, Europhys. Lett. 55, 499 (2001).
[CrossRef]

Gabet, R.

F. Lissillour, R. Gabet, P. Féron, P. Besnard, and G. Stéphan, Europhys. Lett. 55, 499 (2001).
[CrossRef]

Ghisa, L.

S. Trebaol, T. K. N. Nguyên, H. Tavernier, L. Ghişa, Y. Dumeige, and P. Féron, C.R. Physique 14, 964 (2009).
[CrossRef]

Y. Dumeige, S. Trebaol, L. Ghişa, T. K. N. Nguyên, H. Tavernier, and P. Féron, J. Opt. Soc. Am. B 25, 2073 (2008).
[CrossRef]

Goldner, P.

M. Mortier, P. Goldner, P. Féron, G. M. Stéphan, H. Xu, and Z. Cai, J. Non-Cryst. Solids 326 and 327, 505 (2003).
[CrossRef]

Grudinin, I. S.

I. S. Grudinin, V. S. Ilchenko, and L. Maleki, Phys. Rev. A 74, 063806 (2006).
[CrossRef]

Hare, J.

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

Haroche, S.

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

He, L.

L. He, S. K. Ozdemir, Y.-F. Xiao, and L. Yang, IEEE J. Quantum Electron. 46, 1626 (2010).
[CrossRef]

Hsiao, H.-K.

Ilchenko, V. S.

A. A. Savchenkov, A. B. Matsko, V. S. Ilchenko, and L. Maleki, Opt. Express 15, 6768 (2007).
[CrossRef]

I. S. Grudinin, V. S. Ilchenko, and L. Maleki, Phys. Rev. A 74, 063806 (2006).
[CrossRef]

A. B. Matsko and V. S. Ilchenko, IEEE J. Sel. Topics Quantum Electron. 12, 3 (2006).
[CrossRef]

A. A. Savchenkov, A. B. Matsko, D. Strekalov, M. Mohageg, V. S. Ilchenko, and L. Maleki, Phys. Rev. Lett. 93, 243905 (2004).
[CrossRef]

Larger, L.

Le Floch, A.

Lee, R. K.

Lefèvre-Seguin, V.

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

Lissillour, F.

F. Lissillour, R. Gabet, P. Féron, P. Besnard, and G. Stéphan, Europhys. Lett. 55, 499 (2001).
[CrossRef]

Llopis, O.

Maleki, L.

A. A. Savchenkov, A. B. Matsko, V. S. Ilchenko, and L. Maleki, Opt. Express 15, 6768 (2007).
[CrossRef]

I. S. Grudinin, V. S. Ilchenko, and L. Maleki, Phys. Rev. A 74, 063806 (2006).
[CrossRef]

A. A. Savchenkov, A. B. Matsko, D. Strekalov, M. Mohageg, V. S. Ilchenko, and L. Maleki, Phys. Rev. Lett. 93, 243905 (2004).
[CrossRef]

Matsko, A. B.

A. A. Savchenkov, A. B. Matsko, V. S. Ilchenko, and L. Maleki, Opt. Express 15, 6768 (2007).
[CrossRef]

A. B. Matsko and V. S. Ilchenko, IEEE J. Sel. Topics Quantum Electron. 12, 3 (2006).
[CrossRef]

A. A. Savchenkov, A. B. Matsko, D. Strekalov, M. Mohageg, V. S. Ilchenko, and L. Maleki, Phys. Rev. Lett. 93, 243905 (2004).
[CrossRef]

Merrer, P.-H.

Mescia, L.

Mohageg, M.

A. A. Savchenkov, A. B. Matsko, D. Strekalov, M. Mohageg, V. S. Ilchenko, and L. Maleki, Phys. Rev. Lett. 93, 243905 (2004).
[CrossRef]

Mortier, M.

M. Mortier, P. Goldner, P. Féron, G. M. Stéphan, H. Xu, and Z. Cai, J. Non-Cryst. Solids 326 and 327, 505 (2003).
[CrossRef]

Nguyên, T. K. N.

S. Trebaol, T. K. N. Nguyên, H. Tavernier, L. Ghişa, Y. Dumeige, and P. Féron, C.R. Physique 14, 964 (2009).
[CrossRef]

Y. Dumeige, S. Trebaol, L. Ghişa, T. K. N. Nguyên, H. Tavernier, and P. Féron, J. Opt. Soc. Am. B 25, 2073 (2008).
[CrossRef]

Ozdemir, S. K.

L. He, S. K. Ozdemir, Y.-F. Xiao, and L. Yang, IEEE J. Quantum Electron. 46, 1626 (2010).
[CrossRef]

Pogurmirskiy, M.

Poirson, J.

Prudenzano, F.

Raimond, J.-M.

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

Saleh, K.

Salzenstein, P.

Sandoghdar, V.

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

Savchenkov, A. A.

A. A. Savchenkov, A. B. Matsko, V. S. Ilchenko, and L. Maleki, Opt. Express 15, 6768 (2007).
[CrossRef]

A. A. Savchenkov, A. B. Matsko, D. Strekalov, M. Mohageg, V. S. Ilchenko, and L. Maleki, Phys. Rev. Lett. 93, 243905 (2004).
[CrossRef]

Stéphan, G.

F. Lissillour, R. Gabet, P. Féron, P. Besnard, and G. Stéphan, Europhys. Lett. 55, 499 (2001).
[CrossRef]

Stéphan, G. M.

M. Mortier, P. Goldner, P. Féron, G. M. Stéphan, H. Xu, and Z. Cai, J. Non-Cryst. Solids 326 and 327, 505 (2003).
[CrossRef]

Strekalov, D.

A. A. Savchenkov, A. B. Matsko, D. Strekalov, M. Mohageg, V. S. Ilchenko, and L. Maleki, Phys. Rev. Lett. 93, 243905 (2004).
[CrossRef]

Tavernier, H.

Tomita, M.

Totsuka, K.

Trebaol, S.

S. Trebaol, Y. Dumeige, and P. Féron, Phys. Rev. A 81, 043828 (2010).
[CrossRef]

S. Trebaol, T. K. N. Nguyên, H. Tavernier, L. Ghişa, Y. Dumeige, and P. Féron, C.R. Physique 14, 964 (2009).
[CrossRef]

Y. Dumeige, S. Trebaol, L. Ghişa, T. K. N. Nguyên, H. Tavernier, and P. Féron, J. Opt. Soc. Am. B 25, 2073 (2008).
[CrossRef]

Treussart, F.

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

Vahala, K.

K. Vahala, Optical Microcavities (World Scientific, 2004).

Vallet, M.

Volyanskiy, K.

Winick, K. A.

Xiao, Y.-F.

L. He, S. K. Ozdemir, Y.-F. Xiao, and L. Yang, IEEE J. Quantum Electron. 46, 1626 (2010).
[CrossRef]

Xu, H.

M. Mortier, P. Goldner, P. Féron, G. M. Stéphan, H. Xu, and Z. Cai, J. Non-Cryst. Solids 326 and 327, 505 (2003).
[CrossRef]

Yang, L.

L. He, S. K. Ozdemir, Y.-F. Xiao, and L. Yang, IEEE J. Quantum Electron. 46, 1626 (2010).
[CrossRef]

Yariv, A.

Appl. Opt. (1)

Appl. Phys. Lett. (1)

K. Djordjev, S.-J. Choi, S.-J. Choi, and P. D. Dapkus, Appl. Phys. Lett. 80, 3467 (2002).
[CrossRef]

C.R. Physique (1)

S. Trebaol, T. K. N. Nguyên, H. Tavernier, L. Ghişa, Y. Dumeige, and P. Féron, C.R. Physique 14, 964 (2009).
[CrossRef]

Europhys. Lett. (1)

F. Lissillour, R. Gabet, P. Féron, P. Besnard, and G. Stéphan, Europhys. Lett. 55, 499 (2001).
[CrossRef]

IEEE J. Quantum Electron. (1)

L. He, S. K. Ozdemir, Y.-F. Xiao, and L. Yang, IEEE J. Quantum Electron. 46, 1626 (2010).
[CrossRef]

IEEE J. Sel. Topics Quantum Electron. (1)

A. B. Matsko and V. S. Ilchenko, IEEE J. Sel. Topics Quantum Electron. 12, 3 (2006).
[CrossRef]

J. Non-Cryst. Solids (1)

M. Mortier, P. Goldner, P. Féron, G. M. Stéphan, H. Xu, and Z. Cai, J. Non-Cryst. Solids 326 and 327, 505 (2003).
[CrossRef]

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

Opt. Express (4)

Opt. Lett. (2)

Phys. Rev. A (3)

I. S. Grudinin, V. S. Ilchenko, and L. Maleki, Phys. Rev. A 74, 063806 (2006).
[CrossRef]

V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A 54, R1777 (1996).
[CrossRef]

S. Trebaol, Y. Dumeige, and P. Féron, Phys. Rev. A 81, 043828 (2010).
[CrossRef]

Phys. Rev. Lett. (1)

A. A. Savchenkov, A. B. Matsko, D. Strekalov, M. Mohageg, V. S. Ilchenko, and L. Maleki, Phys. Rev. Lett. 93, 243905 (2004).
[CrossRef]

Other (1)

K. Vahala, Optical Microcavities (World Scientific, 2004).

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Figures (4)

Fig. 1.
Fig. 1.

Schematic of a WGM erbium-doped microsphere coupled to the input/output fiber taper.

Fig. 2.
Fig. 2.

Experimental setup. P P and P S are respectively the pump power (3–10 mW) and the probe signal power.

Fig. 3.
Fig. 3.

Emission spectrum from the OSA of a 135 μm diameter, 0.3 mol. % erbium-doped microsphere. The inset shows the transmission spectrum of the associated WGM resonance. The frequency axis has been calibrated using V ˜ S 5 MHZ / s .

Fig. 4.
Fig. 4.

Transmission dynamic profile under fast frequency sweeping. (a) Undercoupled cavity Q = 2.2 × 10 9 , (b) low amplifying regime T ( ω 0 ) = 6.8 dB , and (c) high-gain regime T ( ω 0 ) = 22 dB .

Equations (1)

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d a d t = ( j ω 0 1 τ ) a ( t ) + 2 τ e s in ( t ) ,

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