变迹光纤光栅中布拉格孤子相互作用特性的数值研究

Numerical Analysis of Interaction of Bragg Solitons in Apodized Fiber Gratings

在耦合模理论基础上,运用有限差分法分别数值模拟了布拉格孤子在抛物线平方变迹和高斯变迹光纤光栅中的相互作用。结果表明,同振幅孤子对在不同变迹光纤光栅中的相互作用特点都具有一定的规律性。在高斯变迹光纤光栅中,合适选择相对相位和相对振幅等参数可以使两个不同振幅孤子的相互作用表现为排斥作用,而在抛物线平方变迹光纤光栅中两个不同振幅孤子相互作用较复杂。

With the framework of the coupled modes theory, interactions of the Bragg solitons are simulated with the finite-difference scheme in parabola squared apodization and Gaussion apodized fiber Bragg gratings. According to the numerical results,interactions of solitons with same amplitude have certain regularity in the different apodized gratings. The interactions of solitons with different amplitude are complex in the parabola squared apodization gratings and these are exclusive under the suitable choices of relative phase and amplitude in the Gaussion apodized fiber gratings.