Florescu Lucia, Zhang Xiang
5130 Etcheverry Hall, NSF Nano-scale Science and Engineering Center, University of California, Berkeley, California 94720-1740, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jul;72(1 Pt 2):016611. doi: 10.1103/PhysRevE.72.016611. Epub 2005 Jul 13.
We study the stimulated Raman scattering (SRS) of light from an atomic system embedded in a photonic crystal and coherently pumped by a laser field. In our study, the electromagnetic field is treated classically and the atomic system is described quantum mechanically. Considering a decomposition of the pump and Stokes fields into the Bloch modes of the photonic crystals and using a multiscale analysis, we derive the Maxwell-Bloch equations for SRS in photonic crystals. These equations contain effective parameters that characterize the SRS gain, the nonlinear atomic response to the electromagnetic field, and the group velocity and that can be calculated in terms of the Bloch modes of the unperturbed photonic crystal. We show that if the pump laser frequency is tuned near a photonic band edge and the atomic system is carefully chosen such that the Stokes mode matches another photonic band edge, low-threshold, enhanced Raman amplification is possible. Possible physical realizations of SRS in photonic crystals are also discussed.
我们研究了嵌入光子晶体并由激光场相干泵浦的原子系统中光的受激拉曼散射（SRS）。在我们的研究中，电磁场采用经典处理，原子系统用量子力学描述。考虑将泵浦场和斯托克斯场分解为光子晶体的布洛赫模式，并使用多尺度分析，我们推导了光子晶体中SRS的麦克斯韦 - 布洛赫方程。这些方程包含有效参数，这些参数表征SRS增益、原子对电磁场的非线性响应以及群速度，并且可以根据未受扰动的光子晶体的布洛赫模式来计算。我们表明，如果泵浦激光频率调谐到接近光子带边，并且仔细选择原子系统使得斯托克斯模式与另一个光子带边匹配，则可能实现低阈值、增强的拉曼放大。还讨论了光子晶体中SRS可能的物理实现。
