A method for micro-machining a varactor that is part of a membrane suspended MEMS tunable filter. In one non-limiting embodiment, the method includes providing a main substrate; depositing a membrane on the main substrate; depositing and patterning a plurality of sacrificial photoresist layers at predetermined times during the fabrication of the varactor; depositing metal layers that define a fabricated varactor structure enclosed within photoresist; coupling a carrier substrate to the fabricated structure opposite to the main substrate using a release layer; etching a central portion of the main substrate to expose the membrane; removing the carrier substrate by dissolving the release layer in a material that attacks the release layer but does not dissolve the photoresist; and removing the photoresist layers to provide a released varactor.