Theory of Optimal Mixing in Directly Modulated Laser Diodes


1 Department of Electrical Engineering,Sharif University of Technology

2 School of Electrical and Computer Engineering,Georgia Institute of Technology


Using a simple nonlinear model based on rate equations, and by employing a harmonic
balance method, we develop a theory of optimal mixing in directly modulated semiconductor laser diodes.
We perform a consistent numerical solution to the mixing in laser diodes to the arbitrary accuracy and
intermodulation index (m; n). Through numerical computations we demonstrate that there is an optimal
bias in mixing, corresponding to a relaxation frequency, fr, coinciding with the subcarrier frequency, f1,
at which the mixing power is maximized nearly simultaneously for all intermodulation products, fmn. In
terms of increasing the signal's current amplitude, it will be shown that it would result in a monotonic
increase in the optical power of all intermodulation products, as is normally expected. More generally
and for the rst time to the best of our knowledge, the condition for optimal mixing power is found as
fmn = kfr = mf1+nf2. Applications are in data transmission beyond the resonant frequency of the laser
diode as needed in future communication standards.