  Constructing an exact correspondence between a black hole model, formed from
the most simple solution of Einstein's equations, and a particular moving
mirror trajectory, we investigate a new model that preserves unitarity. The
Bogoliubov coefficients in 1+1 dimensions are computed analytically. The key
modification limits the origin of coordinates (moving mirror) to sub-light
asymptotic speed. Effective continuity across the metric ensures that there is
no information loss. The black hole emits thermal radiation and the total
evaporation energy emitted is finite without backreaction, consistent with the
conservation of energy.
