论文标题
Kerr非线性对一维光子晶体中光传输的影响
Kerr nonlinearity effect on light transmission in one dimensional photonic crystal
论文作者
论文摘要
我们从数值上研究Kerr非线性对一维$δ$ function光子晶体的传输光谱的影响。发现光子带隙（PBG）宽度要么取决于KERR非线性的符号和强度，要么增加或减小。我们发现，任何数量的自我关注的非线性$（α> 0）$都会导致PBG宽度增加，从而导致光定位。然而，对于散落非线性，我们发现了一系列非线性强度，当非线性强度增加并且临界非线性强度$ |α_{c} | $以上行为相反时，光子带隙宽度会降低。在此临界值下，光子晶体变得透明，并抑制光子带隙。我们还研究了对一维光子晶体的传输光谱中入射角和极化的依赖性。我们发现，透射量的最小值随入射角增加，但似乎是偏振无关的。我们还发现，当TE模式的入射角增加时，光子带隙（PBG）的位置转移到较低的波长，而在TM模式下则转移到更长的波长。
We investigate numerically the effect of Kerr nonlinearity on the transmission spectrum of a one dimensional $δ$-function photonic crystal. It is found that the photonic band gap (PBG) width either increases or decreases depending on both sign and strength of Kerr nonlinearity. We found that any amount of self-focusing nonlinearity $(α>0)$ leads to an increase of the PBG width leading to light localization. However, for defocusing nonlinearity, we found a range of non-linearity strengths for which the photonic band gap width decreases when the nonlinearity strength increases and a critical non-linearity strength $|α_{c}|$ above which the behaviour is reversed. At this critical value the photonic crystal become transparent and the photonic band gap is suppressed. We have also studied the dependence on the angle of incidence and polarization in the transmission spectrum of our one-dimensional photonic crystal. We found that the minimum of the transmission increases with incident angle but seems to be polarization-independent. We also found that position of the photonic band gap (PBG) shifts to lower wavelengths when the angle of incidence increases for TE mode while it shifts to longer wavelengths for TM mode.
