为了研究艾里光束(Airy beams)通过负折射率介质中的传输特性, 利用ABCD矩阵光学理论推导出了Airy光束通过负折射率介质的传输解析表达式.利用该解析表达式得到了Airy光束通过负折射率介质的传输特性.计算结果表明, Airy光束通过负折射率介质后的自加速和光强都可以通过负折射率介质的工作频率调控.Airy光束通过负折射率介质的横向偏转系数随传输距离z的增大而加速偏转;同时当传输距离z相同而负折射率介质的工作频率不同时, 偏转系数也不相同.Airy光束的强度和偏转度都可以通过负折射率介质的工作频率调控.结果显示可以利用负折射率介质的工作频率方便有效地调控Airy光束, 研究结果在光学器件设计和医学科学中都有潜在的应用价值.

In order to study the propagation characteristics of airy beams through negative index medium,the analytical expression was obtained for airy beams passing through the negative index medium based on the ABCD matrix optics theory.The propagation properties of airy beams passing through a negative index medium were obtained by using the formula.Numerical examples show that the intensity and the deflection position of the beam can be modulated by the frequency of the negative index medium.The deflection coefficient of the Airy beams is accelerate deflect as the frequency increases,different deflection position are obtained when the Airy beams propagating along z direction with different frequency.Both the deflection coefficient and the intensity of the Airy beam can be sensitively controlled by the frequency.The results show that it is convenient and efficient to modulate the Airy beam by the frequency of the negative index medium, the results presented in this paper may have some potential applications in optical device design and can be utilized in medicine science.