L short for "laevorotatory" and D "(dextrorotatory)" refer to the direction, anticlockwise, or clockwise, that a solution of the molecule rotates plane-polarized light. It is a bit of an old-fashioned term, but it relates SOLELY to the experimental result. See here.
On the other hand, the terms R and S refers specifically to the absolute configuration of a chiral centre. And to determine this, specialized experimental techniques are necessary.
There are some R isomers that rotate plane-polarized light in an anticlockwise direction, and L isomers that rotate in the clockwise direction. Thus the terms R and S refer to absolute configuration, and not the polarized light experiment.