Electromagnetic actuators for digital cameras, in particular miniature cell-phone and tablet cameras, include an electromagnet with a first elongated ferromagnetic member surrounded coaxially in part by a conductive coil along a first longitudinal axis, and a elongated second ferromagnetic member with a second longitudinal axis. The first and second ferromagnetic members have respective first and second operative surfaces and are aligned such that their longitudinal axes are parallel and such that respective operative surfaces overlap each other across a gap. The two members are mechanically coupled to respective frames. A frame hinge connects the frames and enables a relative tilt motion between the ferromagnetic members when current passes through the coil. The tilt motion is convertible into a linear displacement along an optical axis of an optical element coupled to the actuator. Two actuators can be combined into an assembly capable of providing double-axis tilt.