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Efficient method for the calculation of the optical force of a single nanoparticle based on the quasinormal mode expansion

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Abstract

An efficient method for the calculation of the optical force of a single nanoparticle is proposed based on the expansion of quasinormal modes (QNMs), which are eigensolutions of source-free Maxwell’s equations with complex eigenfrequencies. In this method, the optical force is calculated by integrating the Maxwell stress tensor (MST) over a closed surface encompassing the nanoparticle. The electromagnetic (EM) field required for evaluating the MST is computed by a rigorous modal analysis, in which the EM field is expanded onto a small set of QNMs. Once the QNMs of the nanoparticle are solved, their excitation coefficients are obtained analytically. This means that additional full-wave computations are not required if the nanoparticle’s location and the wavelength or distribution of the excitation field vary. Comparisons with full-wave numerical calculations of optical force evidence the high efficiency and accuracy of our formalism.

© 2021 Optical Society of America

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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