Chaotic Dynamics of a Modulated Semiconductor Laser

This Demonstration shows the phase space of a modulated semiconductor laser. The parameters are , the normalized carrier density; , the normalized photon density; (mA), the amplitude of the modulation current; and (GHz), the frequency of modulation. The system exhibits both chaotic and periodic oscillations as you vary the amplitude and frequency of modulation.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


Chaotic behavior in semiconductor lasers is well understood [1]. The peak output power of such lasers varies chaotically. The importance of chaotic behavior in semiconductor lasers is due to its potential use in the field of chaotic encryption based cryptography [2]. The dynamical equations of a modulated semiconductor laser can be written as follows:
The standard parameter values for chaos:
[1] G. P. Agrawal, "Effect of Gain Nonlinearities on Period Doubling and Chaos in Directly Modulated Semiconductor Lasers," Applied Physics Letters, 49(16), 1986 pp. 1013–1015.
[2] V. Bindu and V. M. Nandakumaran, "Chaotic Encryption Using Long-Wavelength Directly Modulated Semiconductor Lasers," Journal of Optics A: Pure and Applied Optics, 4(2), 2002 pp. 115–119.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+