量子阱中空间色散对光脉冲形状的影响
Effect of the Spatial Dispersion on the Shape of a Light Pulse in a Quantum Well
摘要：
计算了载频接近量子阱带间跃迁频率的对称光脉冲的反射率、透射率和吸收率。假设量子阱的能级是离散的，并考虑两个位置接近的激发能级。一个宽的量子阱（其宽度相当于光波的长度，对应于脉冲携带频率）被认为是，并考虑到光波矢量上的动量算符的带间矩阵元素的依赖性。假设势垒和量子阱的折射率相等。这个问题是解决了一个任意比例的辐射和非辐射寿命的电子激发。结果表明，空间色散本质上影响反射和透射脉冲的形状。最大的变化发生在辐射展宽接近带间跃迁的频率差时。
英文摘要：
Reflectance, transmittance and absorbance of a symmetric light pulse, the carrying frequency of which is close to the frequency of interband transitions in a quantum well, are calculated. Energy levels of the quantum well are assumed discrete, and two closely located excited levels are taken into account. A wide quantum well (the width of which is comparable to the length of the light wave, corresponding to the pulse carrying frequency) is considered, and the dependance of the interband matrix element of the momentum operator on the light wave vector is taken into account. Refractive indices of barriers and quantum well are assumed equal each other. The problem is solved for an arbitrary ratio of radiative and nonradiative lifetimes of electronic excitations. It is shown that the spatial dispersion essentially affects the shapes of reflected and transmitted pulses. The largest changes occur when the radiative broadening is close to the difference of frequencies of interband transitions taken into account.
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