Position measurement of a levitated particle with vectorial light

• URL: http://arxiv.org/abs/2607.23833v1
• Date: Sun, 26 Jul 2026 20:40:13 GMT
• Title: Position measurement of a levitated particle with vectorial light
• Abstract summary: We develop a fully vectorial, semiclassical scattering formalism for optically levitated dipolar scatterers.<n>We introduce the information radiation pattern to characterize the angular distribution of position-dependent information.<n>We use a Richards--Wolf projection of the scattered field onto the local-oscillator mode to quantify the resulting mode-matching efficiency.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We develop a fully vectorial, semiclassical scattering formalism for optically levitated dipolar scatterers, expressed within the angular spectrum representation and applicable to arbitrary trapping-field configurations as well as to high--numerical-aperture focusing. Within this framework, we introduce the information radiation pattern to characterize the angular distribution of position-dependent information and use a Richards--Wolf projection of the scattered field onto the local-oscillator mode to quantify the resulting mode-matching efficiency, yielding experimentally realistic forward- and backward-detection efficiencies. As a worked example, we apply the formalism to a radially polarized trapping beam and confirm that the axial recoil heating rate is reduced relative to a conventional linearly polarized Gaussian tweezer. The theoretical framework is implemented in LevitationToolbox, an open-source Python package intended to support the design and optimization of near-Heisenberg-limited levitated optomechanical experiments.

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