Recent developments in the theory of multimode random lasers

We review recent extensions of semiclassical multimode laser theory to open systems with overlapping resonances and inhomogeneous refractive index. An essential ingredient of the theory is a system of biorthogonal quasimodes that describe field decay in an open passive system and are used as a basis for lasing modes. We discuss applications of the semiclassical theory, as well as other experimental and numerical results related to random lasing with mode competition.

[1]  J. Y. Xu,et al.  Transition from amplified spontaneous emission to laser action in strongly scattering media , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  Hakan E. Tureci,et al.  Self-consistent multimode lasing theory for complex or random lasing media (17 pages) , 2006 .

[3]  B Shapiro,et al.  Random resonators and prelocalized modes in disordered dielectric films. , 2002, Physical review letters.

[4]  Mark A. Ratner,et al.  Two-photon pumping of a random laser , 2003 .

[5]  D. Wiersma,et al.  Light diffusion with gain and random lasers. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  Qiming Li,et al.  Mode distribution in coherently amplifying random media , 2001 .

[7]  F. Haake,et al.  Field quantization for chaotic resonators with overlapping modes. , 2001, Physical review letters.

[8]  D. Yevick,et al.  Laser theory , 1984, IEEE Journal of Quantum Electronics.

[9]  Herman Feshbach,et al.  A Unified Theory of Nuclear Reactions, II , 1962 .

[10]  G. Nienhuis,et al.  Quantized mode of a leaky cavity , 2000 .

[11]  R. Carminati,et al.  Threshold of random lasers in the incoherent transport regime , 2007 .

[12]  G. Hackenbroich Statistical theory of multimode random lasers , 2005 .

[13]  Robert P. H. Chang,et al.  Random laser action in semiconductor powder , 1999 .

[14]  Jiang,et al.  Time dependent theory for random lasers , 2000, Physical review letters.

[15]  Y. Ling,et al.  Mode repulsion and mode coupling in random lasers , 2003 .

[16]  C. Viviescas,et al.  Field quantization for open optical cavities , 2003 .

[17]  Robert P. H. Chang,et al.  Microlaser made of disordered media , 2000 .

[18]  M. Ratner,et al.  Random laser in one dimension. , 2002, Physical review letters.

[19]  Y. Fyodorov,et al.  Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance , 1997 .

[20]  Theory of spatial structure of non-linear lasing modes , 2006, 2007 European Conference on Lasers and Electro-Optics and the International Quantum Electronics Conference.

[21]  Xu,et al.  Spatial confinement of laser light in active random media , 2000, Physical review letters.

[22]  L. Deych,et al.  Statistical properties of one-dimensional random lasers. , 2008, Physical review letters.

[23]  N. Lawandy,et al.  Laser action in strongly scattering media , 1994, Nature.

[24]  C. Soukoulis,et al.  Localized random lasing modes and a path for observing localization. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Quantum-limited linewidth of a chaotic laser cavity . , 1999, chao-dyn/9905019.

[26]  Zeev Valy Vardeny,et al.  Organic random lasers in the weak-scattering regime , 2005 .

[27]  Hui Cao,et al.  Lasing with resonant feedback in weakly scattering random systems. , 2007 .

[28]  X. Wu,et al.  Random lasing in weakly scattering systems , 2006, physics/0606105.

[29]  Pang,et al.  Theory of lasing in a multiple-scattering medium. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[30]  C. Beenakker,et al.  Large Petermann factor in chaotic cavities with many scattering channels. , 1999, chao-dyn/9909012.

[31]  P. Kumar,et al.  Photon statistics of random lasers with resonant feedback. , 2001, Physical review letters.

[32]  Arkadi Chipouline,et al.  Random lasing in π-conjugated films and infiltrated opals , 2001 .

[33]  Gordon D. Love,et al.  Adaptive modally addressed liquid crystal lenses , 2004, SPIE Optics + Photonics.

[34]  O. Zaitsev Mode statistics in random lasers , 2006, cond-mat/0610691.

[35]  Diederik S. Wiersma,et al.  Statistical regimes of random laser fluctuations , 2007 .

[36]  Richard L. Weaver,et al.  Waves in random media , 1984 .

[37]  Stefan Rotter,et al.  Strong Interactions in Multimode Random Lasers , 2008, Science.

[38]  Bernd Wilhelmi Laser action in resonators composed of scattering mesoscopic particles , 1998, Other Conferences.

[39]  R. Rosenfeld Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[40]  Z. Vardeny,et al.  Universal properties of random lasers , 2003 .

[41]  Robert P. H. Chang,et al.  Investigation of random lasers with resonant feedback , 2001 .

[42]  S. John,et al.  Theory of photon statistics and optical coherence in a multiple-scattering random-laser medium. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[43]  Lev I. Deych,et al.  Effects of spatial nonuniformity of cavity dielectric constant on lasing dynamics , 2005, SPIE Optics + Photonics.

[44]  Mikhail A. Noginov,et al.  Threshold and slope efficiency of Nd0.5La0.5Al3(BO3)4 ceramic random laser: effect of the pumped spot size , 2002 .

[45]  Statistics of resonances and delay times in random media: beyond random matrix theory , 2005, cond-mat/0508173.

[46]  Ericka Stricklin-Parker,et al.  Ann , 2005 .

[47]  Ray H. Baughman,et al.  Stimulated emission in high-gain organic media , 1999 .

[48]  Journal of the Optical Society of America , 1950, Nature.

[49]  P. T. Leung,et al.  Quasinormal-mode expansion for waves in open systems , 1998 .

[50]  S. John,et al.  Photon statistics and coherence in light emission from a random laser , 2004 .

[51]  F. Haake Quantum signatures of chaos , 1991 .

[52]  Siegman Excess spontaneous emission in non-Hermitian optical systems. II. Laser oscillators. , 1989, Physical review. A, General physics.

[53]  Hui Cao,et al.  Lasing in random media , 2003 .

[54]  IEEE Journal of Quantum Electronics , 2022 .

[55]  Tingye Li,et al.  Computation of optical resonator modes by the method of resonance excitation , 1968 .

[56]  Shirley Dex,et al.  JR 旅客販売総合システム(マルス)における運用及び管理について , 1991 .

[57]  David Bull,et al.  Proceedings of SPIE - The International Society for Optical Engineering , 2007 .

[58]  John D. Joannopoulos,et al.  Coupling, competition, and stability of modes in random lasers , 2004 .

[59]  N. Moiseyev,et al.  Quantum theory of resonances: calculating energies, widths and cross-sections by complex scaling , 1998 .

[60]  Ad Lagendijk,et al.  Spatial extent of random laser modes. , 2007, Physical review letters.

[61]  Diederik S. Wiersma,et al.  Chaotic behavior of a random laser with static disorder , 2007 .

[62]  Renato Torre,et al.  Amplified extended modes in random lasers. , 2004, Physical review letters.

[63]  K. Petermann Calculated spontaneous emission factor for double-heterostructure injection lasers with gain-induced waveguiding , 1979 .

[64]  J. Keating,et al.  Model for chaotic dielectric microresonators , 2007, 0710.0227.

[65]  Mikhail A. Noginov,et al.  Determination of the transport mean free path in a solid-state random laser , 2003 .

[66]  A. Genack,et al.  Photon localization laser: low-threshold lasing in a random amplifying layered medium via wave localization. , 2005, Physical review letters.

[67]  R. Stephenson A and V , 1962, The British journal of ophthalmology.

[68]  Michael V Berry,et al.  Regular and irregular semiclassical wavefunctions , 1977 .

[69]  Patrick Sebbah,et al.  Selective Excitation of Localized Modes in Active Random Media , 2001 .

[70]  A. Siegman,et al.  Excess spontaneous emission in non-Hermitian optical systems. I. Laser amplifiers. , 1989, Physical review. A, General physics.

[71]  H. Cao,et al.  Effect of local pumping on random laser modes in one dimension , 2007, physics/0701193.

[72]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[73]  X. Wu,et al.  Statistical studies of random-lasing modes and amplified spontaneous-emission spikes in weakly scattering systems , 2008 .

[74]  Hui Cao,et al.  Dynamic response and relaxation oscillations in random lasers , 2002 .

[75]  C. Viviescas,et al.  Quantum theory of multimode fields: applications to optical resonators , 2003, quant-ph/0310085.

[76]  Ian J. Spalding,et al.  Laser physics , 1977, Nature.

[77]  Andrew G. Glen,et al.  APPL , 2001 .