Flexible control of the Goos–Hänchen shift in a Laguerre–Gaussian rovibrational cavity

Flexible control of Goos–Hänchen (G–H) shift is revisited in an optomechanical cavity. The optomechanical cavity consists of a Laguerre–Gaussian rovibrational cavity. One of the mirrors of a rovibrational cavity can rotate and vibrate simultaneously which can generate rotational and vibrational modes. We examine the behavior of the G–H shift under various factors and discuss its characteristics. The rovibrational cavity leads to double-transparency windows where we obtain the G–H shifts at these transparency windows. Surprisingly, we find magnitude-enhanced G–H shifts by considering gain and loss in the mirrors of the rovibrational cavity. When the gain of one mirror is simultaneously equal to the loss of another mirror, then the probe light propagates more in the cavity and one can get an enhanced G–H shift.