Cold spots are dark sub-wavelength pockets which might emerge near a nanoantenna, should the components of some far-field illumination cancel out with scattered light. Similar regions of zero electric are applied to diffraction limit-beating microscopy techniques, such as MINFLUX, and commonly delivered in two-dimensional form by a doughnut beam. An illuminated nanoantenna could be the fulcrum for ultra-fast, remote, and non-mechanical control of a more confined, three-dimensional zero in the form of a cold spot. Though previously explored in the literature, the current extent of cold spot position control is an ON/OFF switching behaviour between a few well-known locations or involves a physical change to the nanoantenna shape. We show that by changing only the polarisation, amplitude, and phase of two plane waves, a unique, zero-magnitude and highly sub-wavelength cold spot can be created and moved anywhere in the space around a nanoantenna of any arbitrary shape. The technique exploits the linearity of Maxwell's equations and could be adapted to manipulate any phenomena governed by the linear wave equation, including acoustic scattering. This is a means for ultra-fast, remote, and non-mechanical sub-wavelength electric field manipulation.
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