Joseph R M, Goorjian P M, Taflove A
Opt Lett. 1993 Apr 1;18(7):491-3. doi: 10.1364/ol.18.000491.
We present what are to our knowledge first-time calculations from vector nonlinear Maxwell's equations of femtosecond soliton propagation and scattering, including carrier waves, in two-dimensional dielectric waveguides. The time integration efficiently implements linear and nonlinear convolutions for the electric polarization, and the nonlinear convolution accounts for two quantum effects, the Kerr and Raman interactions. By retaining the optical carrier, the new method solves for fundamental quantities-optical electric and magnetic fields in space and time-rather than a nonphysical envelope function. It has the potential to provide an unprecedented two- and three-dimensional modeling capability for millimeter-scale integrated-optical circuits with submicrometer engineered inhomogeneities.
据我们所知，我们首次给出了二维介质波导中飞秒孤子传播和散射（包括载波）的矢量非线性麦克斯韦方程组的计算结果。时间积分有效地实现了电极化的线性和非线性卷积，非线性卷积考虑了两种量子效应，即克尔效应和拉曼相互作用。通过保留光载波，新方法求解的是基本量——时空的光电场和磁场，而不是非物理的包络函数。它有潜力为具有亚微米级工程不均匀性的毫米级集成光学电路提供前所未有的二维和三维建模能力。
