Abstract

A stable and fast numerical method for calculating complex energies and wave functions of carriers in one-dimensional electrically biased periodic structures is presented. Optical transitions in a superlattice (Bloch oscillations) have been investigated using this method. It is shown that the transition probabilities depend nonlinearly on the applied (sufficiently strong) field. In this case, the transitions at the double and triple Bloch frequencies can be more intense than that at the fundamental frequency. A similar situation is observed in the superlattice with a split miniband (the nonlinearity is more pronounced at strong splitting).

中文翻译：

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非谐Bloch振荡的仿真：数值问题和非线性效应

摘要

提出了一种稳定，快速的计算一维电偏压周期结构中载流子的复能和波函数的数值方法。使用这种方法已经研究了超晶格中的光学跃迁（布洛赫振荡）。结果表明，转变概率非线性地取决于所施加的（足够强的）场。在这种情况下，双倍和三倍Bloch频率处的跃迁可能比基频处的跃迁更为强烈。在具有分裂的微带的超晶格中观察到了类似的情况（在强分裂中，非线性更为明显）。