  Measurements of the Casimir force are used to obtain stronger constraints on
the parameters of hypothetical interactions predicted in different unification
schemes beyond the Standard Model. We review new strong constraints on the
Yukawa-type interactions derived during the last two years from recent
experiments on measuring the lateral Casimir force, Casimir force in
configurations with corrugated boundaries and the Casimir-Polder force.
Specifically, from measurements of the lateral Casimir force compared with the
exact theory the strengthening of constraints up to a factor of 24 millions was
achieved. We also discuss further possibilities to strengthen constraints on
the Yukawa interactions from the Casimir effect.
