Rigorous theory of self-induced transparency in the case of a double resonance in a three-level medium
Rigorous theory of self-induced transparency in the case of a double resonance in a three-level medium
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三能级介质中双共振情况下自感透明的严格理论
DOI：
10.1070/qe1984v014n03abeh004908
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发表时间：
1984
期刊：
影响因子：
--
通讯作者：
A. Maimistov
中科院分区：
文献类型：
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作者：
A. Maimistov
研究了两种不同波长的稳态超短电磁辐射脉冲在精确共振条件下以相同速度在三能级介质中传播的问题。结果表明，这些脉冲（模拟）对应于相应的广义约简麦克斯韦-布洛赫方程的孤子解，从而代表了一种可以用逆散射法精确求解的演化方程组的新例子。模拟的完整表征需要了解其持续时间和相位，也需要了解二维矢量（称为内部极化矢量），其分量等于形成模拟的脉冲的相对振幅。两个不同的模拟体碰撞通常会改变它们的极化。得到了偏振矢量旋转角度与模拟振幅及其初始偏振的函数表达式。
A study is made of steady-state ultrashort electromagnetic radiation pulses of two different wavelengths propagating at the same velocity in a three-level medium under exact resonance conditions. It is shown that such pulses (simultons) correspond to the soliton solutions of the corresponding generalized reduced Maxwell–Bloch equations which thus represent a new example of a system of evolution equations that can be solved exactly by the inverse scattering method. A full characterization of a simulton requires the knowledge of its duration and phase and also of a two-dimensional vector (called the internal polarization vector) with the components equal to the relative amplitudes of the pulses forming a simulton. Collision of two different simultons generally changes their polarizations. An expression is obtained for the angle of rotation of the polarization vectors as a function of the simulton amplitudes and their initial polarizations.