Abstract

This paper describes how the experimental dependences of the energy parameters and the random lasing (RL) spectrum in the diffusion regime depend on the pump intensity, the concentration and refractive index of the scattering particles, the thickness of the sample, and the reflection at its boundaries. An algorithm is proposed for calculating these RL characteristics in the diffusion regime of light propagation by the Monte Carlo method, and calculated dependences of these RL characteristics on the parameters of the medium are obtained that agree with the experiment. It is shown that, because of reflection from the sample boundaries, there is an optimum thickness of the sample for which the RL energy is maximal, and its spectrum is narrowest. The dynamics of the number of excited dye molecules and the photons that they emit in a sample are calculated, along with the RL spectrum as a function of time. The existence of three stages in the formation of RL is established: accumulation of excited molecules, formation of multimode radiation, and relaxation with persistent lasing in high-Q modes. It is shown that the dominant role in the formation of RL radiation is played by the highest-Q modes.

© 2012 OSA

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  1. N. M. Lawandy, R. M. Balachandran, A. S. L. Gomes, and E. Saurvain, “Laser action in strongly scattering media,” Nature 368, 436 (1994).
    [CrossRef]
  2. H. Cao, “Random lasers,” Waves Random Media 13, R1 (2003).
    [CrossRef]
  3. J. Sajeev and G. Pang, “Theory of lasing in a multiple-scattering medium,” Phys. Rev. A 54, 3642 (1996).
    [CrossRef] [PubMed]
  4. G. A. Berger, M. Kempe, and A. Z. Genack, “Dynamics of stimulated emission from random media,” Phys. Rev. E 56, 6118 (1997).
    [CrossRef]
  5. D. S. Wiersma and A. Lagendi?k, “Light diffusion with gain and random lasers,” Phys. Rev. E 54, 4256 (1996).
    [CrossRef]
  6. A. L. Burin, M. A. Ratner, H. Cao, and R. P. H. Chang, “Model for a random laser,” Phys. Rev. Lett. 87, 215503 (2001).
    [CrossRef] [PubMed]
  7. M. F. Noginov, J. Novak, D. Grigsby, and L. Deych, “Applicability of the diffusion model to random laser with nonresonant feedback,” J. Opt. A: Pure Appl. Opt. 8, 285 (2006).
    [CrossRef]
  8. C. Calba, C. Rose, T. Girasole, and L. Mees, “Monte-Carlo simulation of the interaction between an ultrashort pulse and a strongly scattering medium: the case of large particles,” Opt. Commun. 265, 373 (2006).
    [CrossRef]
  9. V. P. Yashchuk, M. V. Zhuravsky, and O. A. Prygodiuk, “Digital simulation of the light absorption and amplification in the multiply scattering medium,” in Proceedings of the Seventh International Conference LFNM-2005, Yalta, Ukraine, 2005, pp. 61–63.
  10. V. P. Yashchuk, M. V. Zhuravski?, and O. A. Prigodyuk, “Modelling and experimental study of the spatial size effect of lasing of a random laser,” Izv. Ross. Akad. Nauk Ser. Fiz. 70, 1318 (2006).
  11. V. P. Yashchuk and M. V. Zhuravsky, “Simulation of random lasing under diffusive regime of radiation propagation,” Proc. SPIE 6727, 67271M (2007).
    [CrossRef]
  12. V. P. Yashchuk, M. V. Zhuravsky, and O. A. Prygodiuk, “Diffusive random lasing modelling,” in Proceedings of Tenth International Conference LFNM’2010, Sevastopol, Ukraine, 12–14 September, 2010, pp. 209–210.
  13. H. Cao, “Lasing in random media,” Waves Random Media 13, R1 (2003).
    [CrossRef]
  14. V. P. Yashchuk and O. A. Prygodiuk, “Space confinement of random lasing,” in Proceedings of the Fifth International conference CAOL’2010, Sevastopol, Ukraine, 10–14 September, 2010, pp. 147–149.
  15. V. P. Yashchuk, O. Prigodiuk, and V. Koreniuk, “Random lasing in porous scattering medium,” Appl. Phys. B 92, 593 (2008).
    [CrossRef]
  16. D. S. Wiersma, A. Muzzi, M. Colossi, and R. Righini, “Time-resolved experiments on light diffusion in anisotropic random media,” Phys. Rev. E 62, 6681 (2000).
    [CrossRef]

2008 (1)

V. P. Yashchuk, O. Prigodiuk, and V. Koreniuk, “Random lasing in porous scattering medium,” Appl. Phys. B 92, 593 (2008).
[CrossRef]

2007 (1)

V. P. Yashchuk and M. V. Zhuravsky, “Simulation of random lasing under diffusive regime of radiation propagation,” Proc. SPIE 6727, 67271M (2007).
[CrossRef]

2006 (3)

M. F. Noginov, J. Novak, D. Grigsby, and L. Deych, “Applicability of the diffusion model to random laser with nonresonant feedback,” J. Opt. A: Pure Appl. Opt. 8, 285 (2006).
[CrossRef]

C. Calba, C. Rose, T. Girasole, and L. Mees, “Monte-Carlo simulation of the interaction between an ultrashort pulse and a strongly scattering medium: the case of large particles,” Opt. Commun. 265, 373 (2006).
[CrossRef]

V. P. Yashchuk, M. V. Zhuravski?, and O. A. Prigodyuk, “Modelling and experimental study of the spatial size effect of lasing of a random laser,” Izv. Ross. Akad. Nauk Ser. Fiz. 70, 1318 (2006).

2003 (2)

H. Cao, “Random lasers,” Waves Random Media 13, R1 (2003).
[CrossRef]

H. Cao, “Lasing in random media,” Waves Random Media 13, R1 (2003).
[CrossRef]

2001 (1)

A. L. Burin, M. A. Ratner, H. Cao, and R. P. H. Chang, “Model for a random laser,” Phys. Rev. Lett. 87, 215503 (2001).
[CrossRef] [PubMed]

2000 (1)

D. S. Wiersma, A. Muzzi, M. Colossi, and R. Righini, “Time-resolved experiments on light diffusion in anisotropic random media,” Phys. Rev. E 62, 6681 (2000).
[CrossRef]

1997 (1)

G. A. Berger, M. Kempe, and A. Z. Genack, “Dynamics of stimulated emission from random media,” Phys. Rev. E 56, 6118 (1997).
[CrossRef]

1996 (2)

D. S. Wiersma and A. Lagendi?k, “Light diffusion with gain and random lasers,” Phys. Rev. E 54, 4256 (1996).
[CrossRef]

J. Sajeev and G. Pang, “Theory of lasing in a multiple-scattering medium,” Phys. Rev. A 54, 3642 (1996).
[CrossRef] [PubMed]

1994 (1)

N. M. Lawandy, R. M. Balachandran, A. S. L. Gomes, and E. Saurvain, “Laser action in strongly scattering media,” Nature 368, 436 (1994).
[CrossRef]

Balachandran, R. M.

N. M. Lawandy, R. M. Balachandran, A. S. L. Gomes, and E. Saurvain, “Laser action in strongly scattering media,” Nature 368, 436 (1994).
[CrossRef]

Berger, G. A.

G. A. Berger, M. Kempe, and A. Z. Genack, “Dynamics of stimulated emission from random media,” Phys. Rev. E 56, 6118 (1997).
[CrossRef]

Burin, A. L.

A. L. Burin, M. A. Ratner, H. Cao, and R. P. H. Chang, “Model for a random laser,” Phys. Rev. Lett. 87, 215503 (2001).
[CrossRef] [PubMed]

Calba, C.

C. Calba, C. Rose, T. Girasole, and L. Mees, “Monte-Carlo simulation of the interaction between an ultrashort pulse and a strongly scattering medium: the case of large particles,” Opt. Commun. 265, 373 (2006).
[CrossRef]

Cao, H.

H. Cao, “Random lasers,” Waves Random Media 13, R1 (2003).
[CrossRef]

H. Cao, “Lasing in random media,” Waves Random Media 13, R1 (2003).
[CrossRef]

A. L. Burin, M. A. Ratner, H. Cao, and R. P. H. Chang, “Model for a random laser,” Phys. Rev. Lett. 87, 215503 (2001).
[CrossRef] [PubMed]

Chang, R. P. H.

A. L. Burin, M. A. Ratner, H. Cao, and R. P. H. Chang, “Model for a random laser,” Phys. Rev. Lett. 87, 215503 (2001).
[CrossRef] [PubMed]

Colossi, M.

D. S. Wiersma, A. Muzzi, M. Colossi, and R. Righini, “Time-resolved experiments on light diffusion in anisotropic random media,” Phys. Rev. E 62, 6681 (2000).
[CrossRef]

Deych, L.

M. F. Noginov, J. Novak, D. Grigsby, and L. Deych, “Applicability of the diffusion model to random laser with nonresonant feedback,” J. Opt. A: Pure Appl. Opt. 8, 285 (2006).
[CrossRef]

Genack, A. Z.

G. A. Berger, M. Kempe, and A. Z. Genack, “Dynamics of stimulated emission from random media,” Phys. Rev. E 56, 6118 (1997).
[CrossRef]

Girasole, T.

C. Calba, C. Rose, T. Girasole, and L. Mees, “Monte-Carlo simulation of the interaction between an ultrashort pulse and a strongly scattering medium: the case of large particles,” Opt. Commun. 265, 373 (2006).
[CrossRef]

Gomes, A. S. L.

N. M. Lawandy, R. M. Balachandran, A. S. L. Gomes, and E. Saurvain, “Laser action in strongly scattering media,” Nature 368, 436 (1994).
[CrossRef]

Grigsby, D.

M. F. Noginov, J. Novak, D. Grigsby, and L. Deych, “Applicability of the diffusion model to random laser with nonresonant feedback,” J. Opt. A: Pure Appl. Opt. 8, 285 (2006).
[CrossRef]

Kempe, M.

G. A. Berger, M. Kempe, and A. Z. Genack, “Dynamics of stimulated emission from random media,” Phys. Rev. E 56, 6118 (1997).
[CrossRef]

Koreniuk, V.

V. P. Yashchuk, O. Prigodiuk, and V. Koreniuk, “Random lasing in porous scattering medium,” Appl. Phys. B 92, 593 (2008).
[CrossRef]

Lagendiik, A.

D. S. Wiersma and A. Lagendi?k, “Light diffusion with gain and random lasers,” Phys. Rev. E 54, 4256 (1996).
[CrossRef]

Lawandy, N. M.

N. M. Lawandy, R. M. Balachandran, A. S. L. Gomes, and E. Saurvain, “Laser action in strongly scattering media,” Nature 368, 436 (1994).
[CrossRef]

Mees, L.

C. Calba, C. Rose, T. Girasole, and L. Mees, “Monte-Carlo simulation of the interaction between an ultrashort pulse and a strongly scattering medium: the case of large particles,” Opt. Commun. 265, 373 (2006).
[CrossRef]

Muzzi, A.

D. S. Wiersma, A. Muzzi, M. Colossi, and R. Righini, “Time-resolved experiments on light diffusion in anisotropic random media,” Phys. Rev. E 62, 6681 (2000).
[CrossRef]

Noginov, M. F.

M. F. Noginov, J. Novak, D. Grigsby, and L. Deych, “Applicability of the diffusion model to random laser with nonresonant feedback,” J. Opt. A: Pure Appl. Opt. 8, 285 (2006).
[CrossRef]

Novak, J.

M. F. Noginov, J. Novak, D. Grigsby, and L. Deych, “Applicability of the diffusion model to random laser with nonresonant feedback,” J. Opt. A: Pure Appl. Opt. 8, 285 (2006).
[CrossRef]

Pang, G.

J. Sajeev and G. Pang, “Theory of lasing in a multiple-scattering medium,” Phys. Rev. A 54, 3642 (1996).
[CrossRef] [PubMed]

Prigodiuk, O.

V. P. Yashchuk, O. Prigodiuk, and V. Koreniuk, “Random lasing in porous scattering medium,” Appl. Phys. B 92, 593 (2008).
[CrossRef]

Prigodyuk, O. A.

V. P. Yashchuk, M. V. Zhuravski?, and O. A. Prigodyuk, “Modelling and experimental study of the spatial size effect of lasing of a random laser,” Izv. Ross. Akad. Nauk Ser. Fiz. 70, 1318 (2006).

Prygodiuk, O. A.

V. P. Yashchuk, M. V. Zhuravsky, and O. A. Prygodiuk, “Digital simulation of the light absorption and amplification in the multiply scattering medium,” in Proceedings of the Seventh International Conference LFNM-2005, Yalta, Ukraine, 2005, pp. 61–63.

V. P. Yashchuk, M. V. Zhuravsky, and O. A. Prygodiuk, “Diffusive random lasing modelling,” in Proceedings of Tenth International Conference LFNM’2010, Sevastopol, Ukraine, 12–14 September, 2010, pp. 209–210.

V. P. Yashchuk and O. A. Prygodiuk, “Space confinement of random lasing,” in Proceedings of the Fifth International conference CAOL’2010, Sevastopol, Ukraine, 10–14 September, 2010, pp. 147–149.

Ratner, M. A.

A. L. Burin, M. A. Ratner, H. Cao, and R. P. H. Chang, “Model for a random laser,” Phys. Rev. Lett. 87, 215503 (2001).
[CrossRef] [PubMed]

Righini, R.

D. S. Wiersma, A. Muzzi, M. Colossi, and R. Righini, “Time-resolved experiments on light diffusion in anisotropic random media,” Phys. Rev. E 62, 6681 (2000).
[CrossRef]

Rose, C.

C. Calba, C. Rose, T. Girasole, and L. Mees, “Monte-Carlo simulation of the interaction between an ultrashort pulse and a strongly scattering medium: the case of large particles,” Opt. Commun. 265, 373 (2006).
[CrossRef]

Sajeev, J.

J. Sajeev and G. Pang, “Theory of lasing in a multiple-scattering medium,” Phys. Rev. A 54, 3642 (1996).
[CrossRef] [PubMed]

Saurvain, E.

N. M. Lawandy, R. M. Balachandran, A. S. L. Gomes, and E. Saurvain, “Laser action in strongly scattering media,” Nature 368, 436 (1994).
[CrossRef]

Wiersma, D. S.

D. S. Wiersma, A. Muzzi, M. Colossi, and R. Righini, “Time-resolved experiments on light diffusion in anisotropic random media,” Phys. Rev. E 62, 6681 (2000).
[CrossRef]

D. S. Wiersma and A. Lagendi?k, “Light diffusion with gain and random lasers,” Phys. Rev. E 54, 4256 (1996).
[CrossRef]

Yashchuk, V. P.

V. P. Yashchuk, O. Prigodiuk, and V. Koreniuk, “Random lasing in porous scattering medium,” Appl. Phys. B 92, 593 (2008).
[CrossRef]

V. P. Yashchuk and M. V. Zhuravsky, “Simulation of random lasing under diffusive regime of radiation propagation,” Proc. SPIE 6727, 67271M (2007).
[CrossRef]

V. P. Yashchuk, M. V. Zhuravski?, and O. A. Prigodyuk, “Modelling and experimental study of the spatial size effect of lasing of a random laser,” Izv. Ross. Akad. Nauk Ser. Fiz. 70, 1318 (2006).

V. P. Yashchuk, M. V. Zhuravsky, and O. A. Prygodiuk, “Diffusive random lasing modelling,” in Proceedings of Tenth International Conference LFNM’2010, Sevastopol, Ukraine, 12–14 September, 2010, pp. 209–210.

V. P. Yashchuk, M. V. Zhuravsky, and O. A. Prygodiuk, “Digital simulation of the light absorption and amplification in the multiply scattering medium,” in Proceedings of the Seventh International Conference LFNM-2005, Yalta, Ukraine, 2005, pp. 61–63.

V. P. Yashchuk and O. A. Prygodiuk, “Space confinement of random lasing,” in Proceedings of the Fifth International conference CAOL’2010, Sevastopol, Ukraine, 10–14 September, 2010, pp. 147–149.

Zhuravskii, M. V.

V. P. Yashchuk, M. V. Zhuravski?, and O. A. Prigodyuk, “Modelling and experimental study of the spatial size effect of lasing of a random laser,” Izv. Ross. Akad. Nauk Ser. Fiz. 70, 1318 (2006).

Zhuravsky, M. V.

V. P. Yashchuk and M. V. Zhuravsky, “Simulation of random lasing under diffusive regime of radiation propagation,” Proc. SPIE 6727, 67271M (2007).
[CrossRef]

V. P. Yashchuk, M. V. Zhuravsky, and O. A. Prygodiuk, “Diffusive random lasing modelling,” in Proceedings of Tenth International Conference LFNM’2010, Sevastopol, Ukraine, 12–14 September, 2010, pp. 209–210.

V. P. Yashchuk, M. V. Zhuravsky, and O. A. Prygodiuk, “Digital simulation of the light absorption and amplification in the multiply scattering medium,” in Proceedings of the Seventh International Conference LFNM-2005, Yalta, Ukraine, 2005, pp. 61–63.

Appl. Phys. B (1)

V. P. Yashchuk, O. Prigodiuk, and V. Koreniuk, “Random lasing in porous scattering medium,” Appl. Phys. B 92, 593 (2008).
[CrossRef]

Izv. Ross. Akad. Nauk Ser. Fiz. (1)

V. P. Yashchuk, M. V. Zhuravski?, and O. A. Prigodyuk, “Modelling and experimental study of the spatial size effect of lasing of a random laser,” Izv. Ross. Akad. Nauk Ser. Fiz. 70, 1318 (2006).

J. Opt. A: Pure Appl. Opt. (1)

M. F. Noginov, J. Novak, D. Grigsby, and L. Deych, “Applicability of the diffusion model to random laser with nonresonant feedback,” J. Opt. A: Pure Appl. Opt. 8, 285 (2006).
[CrossRef]

Nature (1)

N. M. Lawandy, R. M. Balachandran, A. S. L. Gomes, and E. Saurvain, “Laser action in strongly scattering media,” Nature 368, 436 (1994).
[CrossRef]

Opt. Commun. (1)

C. Calba, C. Rose, T. Girasole, and L. Mees, “Monte-Carlo simulation of the interaction between an ultrashort pulse and a strongly scattering medium: the case of large particles,” Opt. Commun. 265, 373 (2006).
[CrossRef]

Phys. Rev. A (1)

J. Sajeev and G. Pang, “Theory of lasing in a multiple-scattering medium,” Phys. Rev. A 54, 3642 (1996).
[CrossRef] [PubMed]

Phys. Rev. E (3)

G. A. Berger, M. Kempe, and A. Z. Genack, “Dynamics of stimulated emission from random media,” Phys. Rev. E 56, 6118 (1997).
[CrossRef]

D. S. Wiersma and A. Lagendi?k, “Light diffusion with gain and random lasers,” Phys. Rev. E 54, 4256 (1996).
[CrossRef]

D. S. Wiersma, A. Muzzi, M. Colossi, and R. Righini, “Time-resolved experiments on light diffusion in anisotropic random media,” Phys. Rev. E 62, 6681 (2000).
[CrossRef]

Phys. Rev. Lett. (1)

A. L. Burin, M. A. Ratner, H. Cao, and R. P. H. Chang, “Model for a random laser,” Phys. Rev. Lett. 87, 215503 (2001).
[CrossRef] [PubMed]

Proc. SPIE (1)

V. P. Yashchuk and M. V. Zhuravsky, “Simulation of random lasing under diffusive regime of radiation propagation,” Proc. SPIE 6727, 67271M (2007).
[CrossRef]

Waves Random Media (2)

H. Cao, “Lasing in random media,” Waves Random Media 13, R1 (2003).
[CrossRef]

H. Cao, “Random lasers,” Waves Random Media 13, R1 (2003).
[CrossRef]

Other (3)

V. P. Yashchuk, M. V. Zhuravsky, and O. A. Prygodiuk, “Digital simulation of the light absorption and amplification in the multiply scattering medium,” in Proceedings of the Seventh International Conference LFNM-2005, Yalta, Ukraine, 2005, pp. 61–63.

V. P. Yashchuk and O. A. Prygodiuk, “Space confinement of random lasing,” in Proceedings of the Fifth International conference CAOL’2010, Sevastopol, Ukraine, 10–14 September, 2010, pp. 147–149.

V. P. Yashchuk, M. V. Zhuravsky, and O. A. Prygodiuk, “Diffusive random lasing modelling,” in Proceedings of Tenth International Conference LFNM’2010, Sevastopol, Ukraine, 12–14 September, 2010, pp. 209–210.

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