“…Recent advances in nanoparticle engineering [7,8] and holographic beam-generation via spatial light modulators (SLMs) [9,10,11,12] and other phase-manipulation techniques [13,14,15,16] have created many new degrees of freedom for engineering light-particle interactions beyond traditional optical tweezers. Enhanced and unusual optical forces and torques can be engineered by designing material objects [17,18,19,20,21] and/or structured illumination, with the latter including "tractor beams" [22,23] and beams carrying optical angular momentum [24,25,26,27]. These increased degrees of freedom pose an interesting design challenge: for a given target object, what is the optimal illumination pattern to produce the strongest optical force or torque?…”