A comparison between rate-equation and Fabry-Perot amplifier models of injection locked laser diodes

Dispersive Optical Bistability in Quantum Wells With Logarithmic Gain

“…Even though both models give identical results in the limiting case of no injected signal [19], their results differ increasingly with the increase of the injected signal level [19], [20], In [21] some modifications were introduced in both methods to minimize these differences.…”

“…The rate equation (RE) method is based on the analysis of first-order differential equations for the carrier density inside the laser cavity [19], [23], [24], One disadvantage of this method is that it does not include the spectral characteristics of the cavity; however, it is expected to give better results for small signal applications and it is suitable to study the dynamic characteristics and modulation properties of injection-locked semiconductor lasers [25], Built on both approaches, a convenient analytical method was developed in [12] and [26], On the one hand, the Fabry-Perot method facilitates the calculation of an appropriate mean optical intensity, obtained by averaging the axial intensity distributions within the Fabry-Perot cavity, to derive relations for the input and output intensities. On the other hand, the nonlinear refraction is determined by the magnitude of the average internal intensity via its effect on the electron concentration in the active medium (RE method).…”

“…(12) It is straightforward, though somewhat tedious, to verify that (17) and (19), with the minus sign, reduce to the equations for the linear gain model Using the average power given by (6) and multiplying the addition of (3) and (4) by r, the rate equations reduce to gL = -aL …”

Mode Suppression in Injection Locked Multi-Mode and Single-Mode Lasers for Optical Demultiplexing

“…As rate equation models predict the locking range and power in the slave laser under optical injection more accurately [30], the optical injection in the model uses results derived from a rate equation approach. To derive the required results, we start with the standard injection locking rate equations as reported in [21,22]:…”