  The Rindler spacetime describing a series of accelerating observers is Ricci
flat, but it still has novel optical effects. In the case of WKB approximation,
we derive the light geodesics in the Rindler frame based on the covariant wave
equation and geodesic equations. Then, we use ABCD matrix optics method to
explore the propagation characteristics of Rindler frame, thus link three
different optical transformation scenes (geometry, gravity and vacuum
refractive index) together. Moreover, the propagation characteristics of hollow
beam in Rindler spacetime are described analytically. Those characteristics are
quite different from the ones in the flat spacetime. Based on these
calculations, we simply demonstrate the position uncertain relationship between
the transverse beam size and the momentum, which surprisingly coincides with
the derivation of quantization. We hope that we can provide one simple method
to analyze the beam propagation in the accelerated frame.
