Transient processes and optical Bloch equations

V. S. Kuz’min

Christopher Feuillade

Tiejun Chang, Ming Tian, William Randall Babbitt

Summary form only given. Fully coupled Maxwell-Bloch equations are required to adequately study the problem of coherent pulse propagation and stimulated photon echo processes, especially in optically thick media. The coupled Maxwell-Bloch equations for optical coherent transients (OCT) simulations have so far assumed a collinear configuration, where all the inputs and echoes propagate along the same direction. We present our own model.

Ingolf Volker Hertel, Claus-Peter Schulz

Galina A. Nemova

Xiangyang Yu

The classical numerical treatments of ordinary differential equations, including Eider, Heun, fourth-order Runge-Kutta and a new fourth-order predictor-corrector methods, are used to solve the optical Bloch equations. By comparing the numerical results and with analytical results, the four numerical methods, especially for the new method's errors and reliability are analyzed. The numerical results prove that, if the steps are suitable, the four numerical methods for the Bloch equations are possible convengence and can keep the numerical method's corresponding errors. The new method is reliable, can be used to optical transient coherent process, and is significant for solving the optical Bloch equations.