Universality in unintentional laser resonators in $ \mathbf{\pi }$-conjugated polymer films

Randall C. Polson; Mikhail E. Raikh; Z.Valy Vardeny

doi:10.1016/S1631-0705(02)01336-1

Photonique moleculaire : matériaux, physique et composants/Molecular photonics: materials, physics and devices

Universality in unintentional laser resonators in

π

-conjugated polymer films

Randall C. Polson ¹ ; Mikhail E. Raikh ¹ ; Z.Valy Vardeny ¹

¹ Department of Physics, University of Utah, Salt Lake City, UT 84112, USA

Comptes Rendus. Physique, Volume 3 (2002) no. 4, pp. 509-521.

Résumé

When films of π-conjugated polymers are optically excited above a certain threshold intensity, then the emission spectrum acquires a multimode finely structured shape, which depends on the position of the excitation spot. We demonstrate that the power Fourier transform (PFT) of the emission spectrum exhibits a certain peak-like structure, which also depends on the excitation spot. Our intriguing observation is that averaging the individual PFTs does not lead to a structureless curve, but rather yields a series of distinct transform peaks. This suggests universality, namely that the underlying random resonators that are responsible for the laser emission from the π-conjugated polymer film are almost identical. We argue that the reason for such an universality is the large size of a typical resonator, which we determined from the PFT, as compared to the emission wavelength, λ. This fact is, in turn, a consequence of the large light mean free path, $l^{*} ≃ 10 λ$ in the polymer film. This contrasts previous observations of random lasing in powders, where $l^{*} \sim λ$ . We develop a simple theory that explains the presence of peaks in the average PFT and predicts their shape. The results of the theory agree quantitatively with the data.

Accepté le : 2002-03-01
Publié le : 2002-01-01

DOI : 10.1016/S1631-0705(02)01336-1

Mots clés : random lasing, Fourier transform, $ \mathbf{\pi }$-conjugated polymer

Affiliations des auteurs :

Randall C. Polson ¹ ; Mikhail E. Raikh ¹ ; Z.Valy Vardeny ¹

¹ Department of Physics, University of Utah, Salt Lake City, UT 84112, USA

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Randall C. Polson; Mikhail E. Raikh; Z.Valy Vardeny. Universality in unintentional laser resonators in $ \mathbf{\pi }$-conjugated polymer films. Comptes Rendus. Physique, Volume 3 (2002) no. 4, pp. 509-521. doi : 10.1016/S1631-0705(02)01336-1. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/S1631-0705(02)01336-1/

Bibliographie
Cité par

[1] Y. Yamamoto; R.E. Slusher Phys. Today, 46 (1993), pp. 66-73

[2] C. Gmachl; F. Capasso; E.E. Narimanov; J.U. Nöckel; A.D. Stone; J. Faist; D.L. Sivco; A.Y. Cho Science, 280 (1998), pp. 1556-1564

[3] V.S. Letokhov Sov. Phys. JETP, 53 (1967), pp. 1442-1452

[4] A.Z. Genack; J.M. Drake Nature (London), 368 (1994), pp. 400-401

[5] S. John; G. Pang Phys. Rev. A, 54 (1996), pp. 3642-3652

[6] D.S. Wiersma; A. Lagendijk Phys. Rev. E, 54 (1996), pp. 4256-4265

[7] M. Siddique; R.R. Alfano; G.A. Berger; M. Kempe; A.Z. Genack Opt. Lett., 21 (1996), pp. 450-452

[8] G.A. Berger; M. Kempe; A.Z. Genack Phys. Rev. E, 56 (1997), pp. 6118-6122

[9] R.M. Balachandran; N.M. Lawandy; J.A. Moon Opt. Lett., 22 (1997), pp. 319-321

[10] S. John Phys. Rev. B, 31 (1985), pp. 304-309

[11] S. John Phys. Today, 44 (1991) no. 5, pp. 32-40

[12] N. Garcia; A.Z. Genack Phys. Rev. Lett., 66 (1991), pp. 1850-1853

[13] A.Z. Genack; N. Garcia Phys. Rev. Lett., 66 (1991), pp. 2064-2067

[14] D.S. Wiersma; M.P. van Albada; B.A. van Tiggelen; A. Lagendijk Phys. Rev. Lett., 75 (1995), pp. 1739-1742

[15] D.S. Wiersma; P. Bartolini; A. Lagendijk; R. Righini Nature, 390 (1997), pp. 671-673

[16] A.A. Chabanov; M. Stoytchev; A.Z. Genack Nature, 40 (2000), pp. 850-853

[17] P.A. Lee; R.A. Webb Mesoscopic Phenomena in Solids (B.A. Altshuler, ed.), North-Holland, Amsterdam, 1991

[18] R. Berkovits; S. Feng Phys. Rep., 238 (1994), pp. 135-172

[19] R. Pnini; B. Shapiro Phys. Rev. B, 39 (1989), pp. 6986-6994

[20] N.M. Lawandy; R.M. Balachandran; A.S.L. Gomes; E. Sauvain Nature (London), 368 (1994), pp. 436-438

[21] D.S. Wiersma; M.P. van Albada; A. Lagendijk Nature (London), 373 (1995), pp. 203-204

[22] W.L. Sha; C.H. Liu; R.R. Alfano J. Opt. Soc. Am. B, 19 (1994), pp. 1922-1924

[23] W. Zhang; N. Cue; K.M. Yoo Opt. Lett., 20 (1995), pp. 961-963

[24] R.M. Balachandran; N.M. Lawandy Opt. Lett., 20 (1995), pp. 1271-1273

[25] M.A. Noginov; H.J. Caufield; N.E. Noginova; P. Venkateswarlu Opt. Commun., 118 (1995), pp. 430-437

[26] J. Martorell; R.M. Balachandran; N.M. Lawandy Opt. Lett., 21 (1996), pp. 239-241

[27] R.M. Balachandran; D.P. Pacheo; N.M. Lawandy Appl. Opt., 35 (1996), pp. 640-643

[28] W.L. Sha; C.H. Liu; F. Liu; R.R. Alfano Opt. Lett., 21 (1996), pp. 1277-1279

[29] P.C. de Olivera; J.A. McGreevy; N.M. Lawandy Opt. Lett., 22 (1997), pp. 700-702

[30] B.R. Prasad; H. Ramachandran; A.K. Sood; C.K. Subramanian; N. Kumar Appl. Opt., 36 (1997), pp. 7718-7724

[31] G. Beckering; S.J. Zilker; D. Haarer Opt. Lett., 22 (1997), pp. 1427-1429

[32] H.Z. Wang; F.L. Zhao; Y.J. He; X.G. Zheng; X.G. Huang Opt. Lett., 23 (1998), pp. 777-779

[33] G. van Soest; M. Tomita; A. Lagendijk Opt. Lett., 24 (1999), pp. 306-308

[34] G. Zacharakis; G. Heliotis; G. Filippidis; D. Anglos; T.G. Papazoglou Appl. Opt., 38 (1999), pp. 6087-6092

[35] M. Shukri; R.L. Armstrong Appl. Opt., 39 (2000), pp. 4300-4305

[36] V.M. Markushev; V.F. Zolin; M.Ch. Briskina Sov. J. Quantum Electron., 16 (1986), pp. 281-283

[37] V.M. Ter-Gabrièlyan; N.È. Markushev; V.R. Belan; M.Ch. Briskina; V.F. Zolin Sov. J. Quantum Electron., 21 (1991), pp. 32-33

[38] C. Gouedard; D. Husson; C. Sauteret; F. Auzel; A. Migus J. Opt. Soc. Am. B, 10 (1993), pp. 2358-2363

[39] F. Hide; B.J. Schwartz; M.A. Diaz-Garcia; A.J. Heeger Chem. Phys. Lett., 256 (1996), pp. 424-430

[40] D.J. Denton; N. Tessler; M.A. Stevens; R.H. Friend Adv. Mater., 9 (1997), pp. 547-551

[41] A.Yu. Zyuzin Europhys. Lett., 26 (1994), pp. 517-520

[42] A.Yu. Zyuzin JETP Lett., 61 (1995), pp. 961-963

[43] A.Yu. Zyuzin Phys. Rev. E, 51 (1995), pp. 5274-5478

[44] P. Pradhan; N. Kumar Phys. Rev. B, 50 (1994), pp. 9644-9677

[45] V. Freilikher; M. Pustilnik; I. Yurkevich Phys. Rev. B, 56 (1997), pp. 5974-5977

[46] C.W.J. Beenakker; J.C.J. Paasschens; P.W. Brouwer Phys. Rev. Lett., 76 (1996), pp. 1368-1371

[47] J.C.J. Paasschens; T.Sh. Misirpashaev; C.W.J. Beenakker Phys. Rev. B, 54 (1996), pp. 11887-11890

[48] X. Jiang; C.M. Soukoulis Phys. Rev. B, 59 (1999), pp. 6159-6166

[49] X. Jiang; Q. Li; C.M. Soukoulis Phys. Rev. B, 59 (1999), p. R9007-R9010

[50] X. Jiang; C.M. Soukoulis Phys. Rev. Lett., 85 (2000), pp. 70-73

[51] X. Jiang; C.M. Soukoulis | arXiv

[52] H. Cao; Y.G. Zhao; S.T. Ho; E.W. Seelig; Q.H. Wang; R.P.H. Chang Phys. Rev. Lett., 82 (1999), pp. 2278-2281

[53] H. Cao; J.Y. Xu; D.Z. Zhang; S.H. Chang; S.T. Ho; E.W. Seelig; X. Liu; R.P.H. Chang Phys. Rev. Lett., 84 (2000), pp. 5584-5587

[54] S.V. Frolov; Z.V. Vardeny; K. Yoshino; A. Zakhidov; R.H. Baughman Phys. Rev. B, 59 (1999), p. R5284-R5487

[55] S.V. Frolov; Z.V. Vardeny; K. Yoshino; A. Zakhidov; R.H. Baughman Opt. Commun., 162 (1999), pp. 241-246

[56] G. Zacharakis; N.A. Papadogiannis; G. Filippidis; T.G. Papazoglou Opt. Lett., 25 (2000), pp. 923-925

[57] H. Cao, private communication

[58] R.C. Polson; A. Chipouline; Z.V. Vardeny Adv. Mater., 13 (2001), pp. 760-764

[59] D. Wiersma Nature, 406 (2000), pp. 132-133

[60] S. Washburn Mesoscopic Phenomena in Solids (B.L. Altshuler; P.A. Lee; R.A. Webb, eds.), North-Holland, Amsterdam, 1991, p. 3

[61] N.N. Barashkov; D.J. Guerrero; H.J. Olivos; J.P. Ferraris Synth. Met., 75 (1995), pp. 153-159

[62] J. Huang, PhD thesis, University of Utah, 2000, unpublished

[63] S.V. Frolov; Z.V. Vardeny; K. Yoshino Phys. Rev. B, 57 (1998), pp. 9141-9147

[64] M.E. Raikh; I.M. Ruzin Mesoscopic Phenomena in Solids (B.L. Altshuler; P.A. Lee; R.A. Webb, eds.), North-Holland, Amsterdam, 1991, p. 315

[65] O.A. Starykh; Ph. Jacquod; E.E. Narimanov; A.D. Stone Phys. Rev. E, 62 (2000), p. 2078 (see and references therein)

[66] D. Hofstetter; R.L. Thornton Opt. Lett., 22 (1997), pp. 1831-1833

[67] D. Hofstetter; R.L. Thornton Appl. Phys. Lett., 72 (1998), pp. 404-406

[68] R.C. Polson; G. Levina; Z.V. Vardeny Appl. Phys. Lett., 76 (2000), pp. 3858-3860

[69] Steel Interferometry, Cambridge University Press, Cambridge, 1982

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