Realization of an Analog Computing Circuit for Simulating a Chaotic Electro Optic System and Validation of Model using Lyapunov Exponent

Abstract

Chaotic optical communication is attractive for its security because in such type of communication optical signal is encrypted using the optical chaos and decrypted at the receiver side with identical chaotic key. Chaotic signals are created using nonlinear optical systems with sensitive dependence in initial condition. In our work we have chosen an Electro Optic modulator based nonlinear optical system for producing optical chaos. However the optical devices are costly and not easily accessible. Hence to overcome this difficulty we have created a nonlinear analog computing circuit capable of producing chaotic signals as those of nonlinear Electro Optic or Acusto Optic system. Extensive numerical experiments have been conducted on this electronic system for studying its chaotic behaviour and it has been found that our electronic simulator is able to mimic the actual Electro Optic system up to a large extent.