Abstract
AbstractA method for the time‐domain simulation of electromagnetic wave propagation in two‐level dielectric media is developed. The technique involves using transmission‐line modelling (TLM) and 𝒵‐transform methods to develop an algorithm to simulate the Maxwell–Bloch equations. The approach is accurate and free from numerical instabilities. The scheme was validated for the small‐signal case by demonstration of the correspondence principle with the classical Lorentz oscillator. Results obtained for propagation in the two‐level medium are in agreement with previous studies in the literature. In addition, results are shown demonstrating gain, self‐induced transparency (SIT), Rabi flopping and laser oscillations. Copyright © 2008 John Wiley & Sons, Ltd.
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