The Lorenz model for single-mode homogeneously broadened laser: analytical determination of the unpredictable zone

摘要: We have applied harmonic expansion to derive an analytical solution for the Lorenz-Haken equations. This method is used describe regular and periodic self-pulsing regime of single mode homogeneously broadened laser. These solutions emerge when ratio population decay rate } smaller than 0:11. also demonstrated tendency Lorenz Haken dissipative system behave a characteristic pumping "2CP ", close second laser threshold "2C2th" (threshold instability). When parameter "2C" increases, undergoes period doubling sequence. cascade leads towards chaos. study this type indicate zone control parameters which irregular pulsing solutions. had previously procedure amplitude first, third fifth order harmonics laser-field expansion. In work, we extend in aim obtaining higher harmonics. show that iterative indeed limited order, above, obtained diverges from numerical direct resolution