Boundedness of outputs of a class of lasers

In this note, a large class of lasers, represented by planar nonlinear ordinary differential equations known as the rate equations, is considered. It is shown that the outputs of the lasers are bounded when bounded inputs (currents) are applied to them.

[1]  Stephan W Koch,et al.  Physics of Optoelectronic Devices , 1995 .

[2]  Masahiro Tsuchiya,et al.  Subpicosecond soliton compression of gain switched diode laser pulses using an erbium-doped fiber amplifier , 1993 .

[3]  Dejan M. Gvozdíc Ultrafast and ultra-parallel optoelectronics , 1997 .

[4]  V. Lakshmikantham,et al.  Stability Analysis of Nonlinear Systems , 1988 .

[5]  H. Schweizer,et al.  A quantitative comparison of the classical rate-equation model with the carrier heating model on dynamics of the quantum-well laser: the role of carrier energy relaxation, electron-hole interaction, and Auger effect , 1997 .

[6]  D. Bainov,et al.  Integral Inequalities and Applications , 1992 .

[7]  Shahram M. Shahruz How to Have Narrow-Stripe Semiconductor Lasers Self-Pulsate , 1999 .

[8]  F. Gaffiot,et al.  Modeling single-mode lasers and standard single-mode fibers using a hardware description language , 1997, IEEE Photonics Technology Letters.

[9]  Michel Verhaegen,et al.  Proceedings of the 37th IEEE Conference on Decision and Control , 1998 .

[10]  Shahram M. Shahruz,et al.  A system theoretic approach to the self-pulsation of passively Q-switched lasers , 2000, IEEE Trans. Control. Syst. Technol..

[11]  A system theoretic approach to the stability of passively Q-switched lasers , 1999 .

[12]  H. F. Liu,et al.  Nonlinear dynamics of a directly modulated 1.55 mu m InGaAsP distributed feedback semiconductor laser , 1993 .

[13]  R. Sabella,,et al.  Impact of Clipping and Chirping Effects on AM-VSB CATV Sub-carrier Multiplexed Optical Systems , 1998 .

[14]  S. M. Shahruz,et al.  System theoretic approach to the stability of quantum-well lasers , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[15]  S. M. Sze,et al.  Modern semiconductor device physics , 1997 .

[16]  A. Cartaxo,et al.  Intensity and frequency noise transmission along singlemode fibre at zero-dispersion wavelength , 1998 .