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We theoretically study radiation pressure induced generation of the frequencycomponents at the sum sideband in an optomechanical system containing anoptical parametric amplifier (OPA). It is shown that an OPA inside a cavity canconsiderably enhance the amplitude of sum sideband even with low power inputfields. We find a new matching condition for the upper sum sideband generation.The height and width of the new peak can be adjusted by the nonlinear gain ofthe OPA. Furthermore, the lower sum sideband generation can be enhanced withseveral orders of magnitude by tuning the nonlinear gain parameter and thephase of the field pumping the OPA. The enhanced sum sideband may havepotential applications to the manipulation of light in a on-chip optomechanicaldevice and the sensitively sensing for precision measurement in the weakoptomechanical coupling regime.

Enhancement of optomechanically induced sum sideband using parametric interactions