Goos–Hänchen and Imbert–Fedorov shifts of the Airy beam in dirac metamaterials

We theoretically derive the expression for the Goos–Hänchen (GH) and Imbert–Fedorov (IF) shifts of the Airy beam in Dirac metamaterial. In this work, the large GH and IF shifts can be found when the Airy beam is reflected near the Dirac and Brewster angles. Compared to the Gaussian beam, the GH shifts of the Airy beam are more obvious in the vicinity of the Brewster angle. Interestingly, it is found that the ability to produce an Airy vortex beam at the Dirac point. In addition, the magnitude and the direction of the GH shifts can be controlled by the rotation angles of the Airy beam. We take advantage of this property to design a reflective optical switch based on the rotation angle-controlled GH shifts of the Dirac metamaterial. Our solutions provide the possibility to implement light-tuned optical switches. Moreover, our model can also be used to describe the GH and IF shifts generated by novel beams in other similar photonic systems.