Third-order laser-field-expansion analysis of the Lorenz–Haken equations

作者: Belkacem Meziane , Samia Ayadi

DOI: 10.1016/J.OPTCOM.2008.04.005

关键词: Literal (mathematical logic)Space (mathematics)Theoretical physicsClosed-form expressionMathematical analysisThird orderDifferential (infinitesimal)Field (physics)OpticsState (functional analysis)PhysicsInstabilityPhysical and Theoretical ChemistryElectrical and Electronic EngineeringAtomic and Molecular Physics, and OpticsElectronic, Optical and Magnetic Materials

摘要: This paper revisits a few aspects of laser-dynamics with a strong-harmonic expansion analysis from which new analytical information, within the intrinsic pulsing regime that …

参考文章(16)
H. Haken, Laser light dynamics North-Holland Pub. Co. , Sole distributors for the U.S.A. and Canada, Elsevier North-Holland. ,(1985)
Guido H.M. van Tartwijk, Govind P. Agrawal, Nonlinear dynamics in the generalized Lorenz-Haken model Optics Communications. ,vol. 133, pp. 565- 577 ,(1997) , 10.1016/S0030-4018(96)00589-5
Franco Prati, Enrico M Pessina, Germán J de Valcárcel, Eugenio Roldán, Lorenz–Haken instability in a laser with arbitrary mirrors reflectivity Optics Communications. ,vol. 185, pp. 153- 157 ,(2000) , 10.1016/S0030-4018(00)00973-1
Ilia Grigorenko, Elena Grigorenko, Chaotic dynamics of the fractional Lorenz system. Physical Review Letters. ,vol. 91, pp. 034101- 034101 ,(2003) , 10.1103/PHYSREVLETT.91.034101
H Haken, Analogy between higher instabilities in fluids and lasers Physics Letters A. ,vol. 53, pp. 77- 78 ,(1975) , 10.1016/0375-9601(75)90353-9
K. A. Robbins, Periodic solutions and bifurcation structure at high R in the Lorenz model Siam Journal on Applied Mathematics. ,vol. 36, pp. 457- 472 ,(1979) , 10.1137/0136035
L.M. Narducci, H. Sadiky, L.A. Lugiato, N.B. Abraham, Experimentally accessible periodic pulsations of a single-mode homogeneously broadened laser (the Lorenz model) Optics Communications. ,vol. 55, pp. 370- 376 ,(1985) , 10.1016/0030-4018(85)90189-0
C. O. Weiss, J. Brock, Evidence for Lorenz-type chaos in a laser. Physical Review Letters. ,vol. 57, pp. 2804- 2806 ,(1986) , 10.1103/PHYSREVLETT.57.2804
G. Kociuba, N. R. Heckenberg, Controlling the complex Lorenz equations by modulation. Physical Review E. ,vol. 66, pp. 026205- ,(2002) , 10.1103/PHYSREVE.66.026205