We describe experimental and related theoretical work on the measurement of
the Casimir force using semiconductor test bodies. This field of research
started in 2005 and several important and interesting results have already been
obtained. Specifically, the Casimir force or its gradient were measured in the
configuration of an Au-coated sphere and different semiconductor surfaces. It
was found that the force magnitude depends significantly on the replacement of
the metal with a semiconductor and on the concentration of charge carriers in
the semiconductor material. Special attention is paid to the experiment on the
optical modulation of the Casimir force. In this experiment the difference
Casimir force between an Au-coated sphere and Si plate in the presence and in
the absence of laser light was measured. Possible applications of this
experiment are discussed, specifically, for the realization of the pulsating
Casimir force in three-layer systems. Theoretical problems arising from the
comparison of the experimental data for the difference Casimir force with the
Lifshitz theory are analyzed. We consider the possibility to control the
magnitude of the Casimir force in phase transitions of semiconductor materials.
Experiments on measuring the Casimir force gradient between an Au-coated sphere
and Si plate covered with rectangular corrugations of different character are
also described. Here, we discuss the interplay between the material properties
and nontrivial geometry and the applicability of the proximity force
approximation. The review contains comparison between different experiments and
analysis of their advantages and disadvantages.Comment: Review: 61 pages, 23 figure