Abstract

The present study demonstrates numerically a novel approach to perform a controllable single-mode random laser, using stimulated Raman gain. Due to the narrow linewidth of the Raman line shape, only one of the modes of the passive random system can lase. The robust control on the emission spectrum was achieved through the selection of any desired quasi-modes, by adjusting the pump wavelength in order to place the center of Raman line shape on desired quasi-modes. This approach was proved using a developed nonlinear transfer matrix method for a 1D Raman random system. The proposed method includes the Raman gain saturation and the frequency-dependent index of refraction.

© 2014 Optical Society of America

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2014 (4)

J. Andreasen, N. Bachelard, S. B. N. Bhaktha, H. Cao, P. Sebbah, and C. Vanneste, Int. J. Mod. Phys. B 28, 1430001 (2014).
[CrossRef]

N. Bachelard, S. Gigan, X. Noblin, and P. Sebbah, Nat. Phys. 10, 426 (2014).
[CrossRef]

A. K. Tiwari, K. S. Alee, R. Uppu, and S. Mujumdar, Appl. Phys. Lett. 104, 131112 (2014).
[CrossRef]

A. R. Bahrampour, E. Shojaie, and M. Sani, J. Opt. Soc. Am. B 31, 1308 (2014).
[CrossRef]

2013 (6)

B. H. Hokr and V. V. Yakovlev, Opt. Express 21, 11757 (2013).
[CrossRef]

Q. Baudouin, N. Mercadier, V. Guarrera, W. Guerin, and R. Kaiser, Nat. Phys. 9, 357 (2013).
[CrossRef]

J. Bingi, A. R. Warrier, and C. Vijayan, Appl. Phys. Lett. 102, 221105 (2013).
[CrossRef]

M. Leonetti and C. López, Appl. Phys. Lett. 102, 071105 (2013).
[CrossRef]

D. S. Wiersma, Nat. Photonics 7, 188 (2013).
[CrossRef]

V. Folli, N. Ghofraniha, A. Puglisi, L. Leuzzi, and C. Conti, Sci. Rep. 3, 1 (2013).
[CrossRef]

2012 (4)

N. Bachelard, J. Andreasen, S. Gigan, and P. Sebbah, Phys. Rev. Lett. 109, 033903 (2012).
[CrossRef]

B. Redding, M. A. Choma, and H. Cao, Nat. Photonics 6, 355 (2012).
[CrossRef]

A. G. Ardakani, A. R. Bahrampour, S. M. Mahdavi, and M. Hosseini, J. Appl. Phys. 112, 043111 (2012).
[CrossRef]

A. G. Ardakani, A. R. Bahrampour, S. M. Mahdavi, and M. Golshani, Opt. Commun. 285, 1314 (2012).
[CrossRef]

2010 (2)

F. Anquez, E. Courtade, A. Sivéry, P. Suret, and S. Randoux, Opt. Express 18, 22928 (2010).
[CrossRef]

J. Andreasen, C. Vanneste, L. Ge, and H. Cao, Phys. Rev. A 81, 043818 (2010).
[CrossRef]

2009 (4)

2008 (2)

D. S. Wiersma, Nat. Phys. 4, 359 (2008).
[CrossRef]

S. Gottardo, P. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

2007 (2)

2005 (2)

M. Troccoli, A. Belyanin, F. Capasso, E. Cubukcu, D. L. Sivco, and A. Y. Cho, Nature 433, 845 (2005).
[CrossRef]

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef]

2004 (1)

S. E. Skipetrov, Nature 432, 285 (2004).
[CrossRef]

2002 (1)

S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, Nature 415, 621 (2002).
[CrossRef]

2001 (2)

C. Vanneste and P. Sebbah, Phys. Rev. Lett. 87, 183903 (2001).
[CrossRef]

D. S. Wiersma and S. Cavalieri, Nature 414, 708 (2001).
[CrossRef]

1999 (1)

A. E. Perkins and N. M. Lawandy, Opt. Commun. 162, 191 (1999).
[CrossRef]

Alee, K. S.

A. K. Tiwari, K. S. Alee, R. Uppu, and S. Mujumdar, Appl. Phys. Lett. 104, 131112 (2014).
[CrossRef]

Andreasen, J.

J. Andreasen, N. Bachelard, S. B. N. Bhaktha, H. Cao, P. Sebbah, and C. Vanneste, Int. J. Mod. Phys. B 28, 1430001 (2014).
[CrossRef]

N. Bachelard, J. Andreasen, S. Gigan, and P. Sebbah, Phys. Rev. Lett. 109, 033903 (2012).
[CrossRef]

J. Andreasen, C. Vanneste, L. Ge, and H. Cao, Phys. Rev. A 81, 043818 (2010).
[CrossRef]

J. Andreasen and H. Cao, Opt. Lett. 34, 3586 (2009).
[CrossRef]

X. Wu, J. Andreasen, H. Cao, and A. Yamilov, J. Opt. Soc. Am. B 24, A26 (2007).
[CrossRef]

Anquez, F.

Ardakani, A. G.

A. G. Ardakani, A. R. Bahrampour, S. M. Mahdavi, and M. Hosseini, J. Appl. Phys. 112, 043111 (2012).
[CrossRef]

A. G. Ardakani, A. R. Bahrampour, S. M. Mahdavi, and M. Golshani, Opt. Commun. 285, 1314 (2012).
[CrossRef]

Babin, S. A.

Bachelard, N.

N. Bachelard, S. Gigan, X. Noblin, and P. Sebbah, Nat. Phys. 10, 426 (2014).
[CrossRef]

J. Andreasen, N. Bachelard, S. B. N. Bhaktha, H. Cao, P. Sebbah, and C. Vanneste, Int. J. Mod. Phys. B 28, 1430001 (2014).
[CrossRef]

N. Bachelard, J. Andreasen, S. Gigan, and P. Sebbah, Phys. Rev. Lett. 109, 033903 (2012).
[CrossRef]

Bahrampour, A. R.

A. R. Bahrampour, E. Shojaie, and M. Sani, J. Opt. Soc. Am. B 31, 1308 (2014).
[CrossRef]

A. G. Ardakani, A. R. Bahrampour, S. M. Mahdavi, and M. Hosseini, J. Appl. Phys. 112, 043111 (2012).
[CrossRef]

A. G. Ardakani, A. R. Bahrampour, S. M. Mahdavi, and M. Golshani, Opt. Commun. 285, 1314 (2012).
[CrossRef]

A. R. Bahrampour and F. Bazouband, Opt. Commun. 282, 1648 (2009).
[CrossRef]

Baudouin, Q.

Q. Baudouin, N. Mercadier, V. Guarrera, W. Guerin, and R. Kaiser, Nat. Phys. 9, 357 (2013).
[CrossRef]

Bazouband, F.

A. R. Bahrampour and F. Bazouband, Opt. Commun. 282, 1648 (2009).
[CrossRef]

Belyanin, A.

M. Troccoli, A. Belyanin, F. Capasso, E. Cubukcu, D. L. Sivco, and A. Y. Cho, Nature 433, 845 (2005).
[CrossRef]

Bhaktha, S. B. N.

J. Andreasen, N. Bachelard, S. B. N. Bhaktha, H. Cao, P. Sebbah, and C. Vanneste, Int. J. Mod. Phys. B 28, 1430001 (2014).
[CrossRef]

Bingi, J.

J. Bingi, A. R. Warrier, and C. Vijayan, Appl. Phys. Lett. 102, 221105 (2013).
[CrossRef]

Blanco, A.

S. Gottardo, P. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

Brivio, D.

Cao, H.

J. Andreasen, N. Bachelard, S. B. N. Bhaktha, H. Cao, P. Sebbah, and C. Vanneste, Int. J. Mod. Phys. B 28, 1430001 (2014).
[CrossRef]

B. Redding, M. A. Choma, and H. Cao, Nat. Photonics 6, 355 (2012).
[CrossRef]

J. Andreasen, C. Vanneste, L. Ge, and H. Cao, Phys. Rev. A 81, 043818 (2010).
[CrossRef]

J. Andreasen and H. Cao, Opt. Lett. 34, 3586 (2009).
[CrossRef]

X. Wu, J. Andreasen, H. Cao, and A. Yamilov, J. Opt. Soc. Am. B 24, A26 (2007).
[CrossRef]

Capasso, F.

M. Troccoli, A. Belyanin, F. Capasso, E. Cubukcu, D. L. Sivco, and A. Y. Cho, Nature 433, 845 (2005).
[CrossRef]

Cavalieri, S.

D. S. Wiersma and S. Cavalieri, Nature 414, 708 (2001).
[CrossRef]

Cho, A. Y.

M. Troccoli, A. Belyanin, F. Capasso, E. Cubukcu, D. L. Sivco, and A. Y. Cho, Nature 433, 845 (2005).
[CrossRef]

Choma, M. A.

B. Redding, M. A. Choma, and H. Cao, Nat. Photonics 6, 355 (2012).
[CrossRef]

Churkin, D. V.

Cohen, O.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef]

Conti, C.

V. Folli, N. Ghofraniha, A. Puglisi, L. Leuzzi, and C. Conti, Sci. Rep. 3, 1 (2013).
[CrossRef]

Courtade, E.

Cubukcu, E.

M. Troccoli, A. Belyanin, F. Capasso, E. Cubukcu, D. L. Sivco, and A. Y. Cho, Nature 433, 845 (2005).
[CrossRef]

Fang, A.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef]

Folli, V.

V. Folli, N. Ghofraniha, A. Puglisi, L. Leuzzi, and C. Conti, Sci. Rep. 3, 1 (2013).
[CrossRef]

García, P. D.

S. Gottardo, P. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

Ge, L.

J. Andreasen, C. Vanneste, L. Ge, and H. Cao, Phys. Rev. A 81, 043818 (2010).
[CrossRef]

Ghofraniha, N.

V. Folli, N. Ghofraniha, A. Puglisi, L. Leuzzi, and C. Conti, Sci. Rep. 3, 1 (2013).
[CrossRef]

Gigan, S.

N. Bachelard, S. Gigan, X. Noblin, and P. Sebbah, Nat. Phys. 10, 426 (2014).
[CrossRef]

N. Bachelard, J. Andreasen, S. Gigan, and P. Sebbah, Phys. Rev. Lett. 109, 033903 (2012).
[CrossRef]

Golshani, M.

A. G. Ardakani, A. R. Bahrampour, S. M. Mahdavi, and M. Golshani, Opt. Commun. 285, 1314 (2012).
[CrossRef]

Gottardo, S.

S. Gottardo, P. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

Guarrera, V.

Q. Baudouin, N. Mercadier, V. Guarrera, W. Guerin, and R. Kaiser, Nat. Phys. 9, 357 (2013).
[CrossRef]

Guerin, W.

Q. Baudouin, N. Mercadier, V. Guarrera, W. Guerin, and R. Kaiser, Nat. Phys. 9, 357 (2013).
[CrossRef]

W. Guerin, N. Mercadier, D. Brivio, and R. Kaiser, Opt. Express 17, 11236 (2009).
[CrossRef]

Hak, D.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef]

Hokr, B. H.

Hosseini, M.

A. G. Ardakani, A. R. Bahrampour, S. M. Mahdavi, and M. Hosseini, J. Appl. Phys. 112, 043111 (2012).
[CrossRef]

Jaroszewicz, Z.

Jones, R.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef]

Kablukov, S. I.

Kaiser, R.

Q. Baudouin, N. Mercadier, V. Guarrera, W. Guerin, and R. Kaiser, Nat. Phys. 9, 357 (2013).
[CrossRef]

W. Guerin, N. Mercadier, D. Brivio, and R. Kaiser, Opt. Express 17, 11236 (2009).
[CrossRef]

Kippenberg, T. J.

S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, Nature 415, 621 (2002).
[CrossRef]

Lawandy, N. M.

A. E. Perkins and N. M. Lawandy, Opt. Commun. 162, 191 (1999).
[CrossRef]

Leonetti, M.

M. Leonetti and C. López, Appl. Phys. Lett. 102, 071105 (2013).
[CrossRef]

Leuzzi, L.

V. Folli, N. Ghofraniha, A. Puglisi, L. Leuzzi, and C. Conti, Sci. Rep. 3, 1 (2013).
[CrossRef]

Liu, A.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef]

López, C.

M. Leonetti and C. López, Appl. Phys. Lett. 102, 071105 (2013).
[CrossRef]

S. Gottardo, P. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

Mahdavi, S. M.

A. G. Ardakani, A. R. Bahrampour, S. M. Mahdavi, and M. Golshani, Opt. Commun. 285, 1314 (2012).
[CrossRef]

A. G. Ardakani, A. R. Bahrampour, S. M. Mahdavi, and M. Hosseini, J. Appl. Phys. 112, 043111 (2012).
[CrossRef]

Mercadier, N.

Q. Baudouin, N. Mercadier, V. Guarrera, W. Guerin, and R. Kaiser, Nat. Phys. 9, 357 (2013).
[CrossRef]

W. Guerin, N. Mercadier, D. Brivio, and R. Kaiser, Opt. Express 17, 11236 (2009).
[CrossRef]

Mujumdar, S.

A. K. Tiwari, K. S. Alee, R. Uppu, and S. Mujumdar, Appl. Phys. Lett. 104, 131112 (2014).
[CrossRef]

Noblin, X.

N. Bachelard, S. Gigan, X. Noblin, and P. Sebbah, Nat. Phys. 10, 426 (2014).
[CrossRef]

Osuch, T.

Paniccia, M.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef]

Perkins, A. E.

A. E. Perkins and N. M. Lawandy, Opt. Commun. 162, 191 (1999).
[CrossRef]

Puglisi, A.

V. Folli, N. Ghofraniha, A. Puglisi, L. Leuzzi, and C. Conti, Sci. Rep. 3, 1 (2013).
[CrossRef]

Randoux, S.

Redding, B.

B. Redding, M. A. Choma, and H. Cao, Nat. Photonics 6, 355 (2012).
[CrossRef]

Rong, H.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, Nature 433, 725 (2005).
[CrossRef]

Rybakov, M. A.

Sani, M.

Sapienza, P.

S. Gottardo, P. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

Sebbah, P.

N. Bachelard, S. Gigan, X. Noblin, and P. Sebbah, Nat. Phys. 10, 426 (2014).
[CrossRef]

J. Andreasen, N. Bachelard, S. B. N. Bhaktha, H. Cao, P. Sebbah, and C. Vanneste, Int. J. Mod. Phys. B 28, 1430001 (2014).
[CrossRef]

N. Bachelard, J. Andreasen, S. Gigan, and P. Sebbah, Phys. Rev. Lett. 109, 033903 (2012).
[CrossRef]

C. Vanneste and P. Sebbah, Phys. Rev. Lett. 87, 183903 (2001).
[CrossRef]

Shojaie, E.

Sivco, D. L.

M. Troccoli, A. Belyanin, F. Capasso, E. Cubukcu, D. L. Sivco, and A. Y. Cho, Nature 433, 845 (2005).
[CrossRef]

Sivéry, A.

Skipetrov, S. E.

S. E. Skipetrov, Nature 432, 285 (2004).
[CrossRef]

Spillane, S. M.

S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, Nature 415, 621 (2002).
[CrossRef]

Suret, P.

Szczepanski, P.

Tiwari, A. K.

A. K. Tiwari, K. S. Alee, R. Uppu, and S. Mujumdar, Appl. Phys. Lett. 104, 131112 (2014).
[CrossRef]

Troccoli, M.

M. Troccoli, A. Belyanin, F. Capasso, E. Cubukcu, D. L. Sivco, and A. Y. Cho, Nature 433, 845 (2005).
[CrossRef]

Uppu, R.

A. K. Tiwari, K. S. Alee, R. Uppu, and S. Mujumdar, Appl. Phys. Lett. 104, 131112 (2014).
[CrossRef]

Vahala, K. J.

S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, Nature 415, 621 (2002).
[CrossRef]

Vanneste, C.

J. Andreasen, N. Bachelard, S. B. N. Bhaktha, H. Cao, P. Sebbah, and C. Vanneste, Int. J. Mod. Phys. B 28, 1430001 (2014).
[CrossRef]

J. Andreasen, C. Vanneste, L. Ge, and H. Cao, Phys. Rev. A 81, 043818 (2010).
[CrossRef]

C. Vanneste and P. Sebbah, Phys. Rev. Lett. 87, 183903 (2001).
[CrossRef]

Vijayan, C.

J. Bingi, A. R. Warrier, and C. Vijayan, Appl. Phys. Lett. 102, 221105 (2013).
[CrossRef]

Vlasov, A. A.

Warrier, A. R.

J. Bingi, A. R. Warrier, and C. Vijayan, Appl. Phys. Lett. 102, 221105 (2013).
[CrossRef]

Wiersma, D. S.

D. S. Wiersma, Nat. Photonics 7, 188 (2013).
[CrossRef]

S. Gottardo, P. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

D. S. Wiersma, Nat. Phys. 4, 359 (2008).
[CrossRef]

D. S. Wiersma and S. Cavalieri, Nature 414, 708 (2001).
[CrossRef]

Wu, X.

Yakovlev, V. V.

Yamilov, A.

Yariv, A.

A. Yariv, Quantum Electronics, 3rd ed. (Wiley, 1967).

Appl. Opt. (1)

Appl. Phys. Lett. (3)

J. Bingi, A. R. Warrier, and C. Vijayan, Appl. Phys. Lett. 102, 221105 (2013).
[CrossRef]

M. Leonetti and C. López, Appl. Phys. Lett. 102, 071105 (2013).
[CrossRef]

A. K. Tiwari, K. S. Alee, R. Uppu, and S. Mujumdar, Appl. Phys. Lett. 104, 131112 (2014).
[CrossRef]

Int. J. Mod. Phys. B (1)

J. Andreasen, N. Bachelard, S. B. N. Bhaktha, H. Cao, P. Sebbah, and C. Vanneste, Int. J. Mod. Phys. B 28, 1430001 (2014).
[CrossRef]

J. Appl. Phys. (1)

A. G. Ardakani, A. R. Bahrampour, S. M. Mahdavi, and M. Hosseini, J. Appl. Phys. 112, 043111 (2012).
[CrossRef]

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

Nat. Photonics (3)

S. Gottardo, P. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

D. S. Wiersma, Nat. Photonics 7, 188 (2013).
[CrossRef]

B. Redding, M. A. Choma, and H. Cao, Nat. Photonics 6, 355 (2012).
[CrossRef]

Nat. Phys. (3)

D. S. Wiersma, Nat. Phys. 4, 359 (2008).
[CrossRef]

N. Bachelard, S. Gigan, X. Noblin, and P. Sebbah, Nat. Phys. 10, 426 (2014).
[CrossRef]

Q. Baudouin, N. Mercadier, V. Guarrera, W. Guerin, and R. Kaiser, Nat. Phys. 9, 357 (2013).
[CrossRef]

Nature (5)

S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, Nature 415, 621 (2002).
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Figures (4)

Fig. 1.
Fig. 1.

Transmission spectrum versus the wavelength for 1D passive system; the peaks correspond to the QMs.

Fig. 2.
Fig. 2.

(a) Emission spectrum of Raman random lasing for TQM2. The center of the Raman line shape is located precisely on the QM2. (b) Single-mode lasing emission spectrum for different pump wavelengths for selecting each TQM. (c) Output power versus pump power for different TQMs. Threshold behavior is seen for each TQM clearly; the dots are calculated data and solid lines are linear fitted curves.

Fig. 3.
Fig. 3.

Average of PSLTs in terms of pump power increase. By increasing the pump power, the average of PSLT reaches 1; the dots are calculated data and the solid line is the cubic fitted curve.

Fig. 4.
Fig. 4.

PSLTs in spectral sections for different pump powers. By increasing the pump power the PSLTs reach 1: (a) pump=17 (a.u.); (b) pump=25 (a.u.); (c) pump=30 (a.u.); (d) pump=35 (a.u.).

Equations (2)

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G=G01+Pp2Ps2Psat,
χR(ωs)=Nγωυ{[ωυ(ωpωs)]2+γ2/4},

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