Expressions of Goos-Hänchen and Imbert-Fedorov shifts of rotational 2-D finite energy Airy beams are introduced in this paper. The influences of the second-order terms of the reflection coefficient on the spatial Goos-Hänchen shift (GHS) and spatial Imbert-Fedorov shift (IFS) of rotational 2-D finite energy Airy beams are theoretically and numerically investigated at the surface between air and weakly absorbing medium for the first time. It is found that the axial symmetry of the initial field of beams has huge influences on GHS and IFS and both of the GHS and IFS can be controlled by adjusting the rotation angle of the initial field distribution.

中文翻译：

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旋转二维有限能量艾里光束的空间Goos-Hänchen和Imbert-Fedorov位移

本文介绍了旋转二维有限能艾里光束的Goos-Hänchen和Imbert-Fedorov位移的表达式。从理论和数值上研究了反射系数的二阶项对旋转二维有限能艾里光束的空间Goos-Hänchen位移（GHS）和空间Imbert-Fedorov位移（IFS）的影响并首次吸收弱的介质。研究发现，光束初始场的轴向对称性对GHS和IFS有很大的影响，可以通过调节初始场分布的旋转角度来控制GHS和IFS。