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Simple algorithm for partial wave expansion of plasmonic and evanescent fields.

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    This study introduces a new method for calculating optical forces and torques on particles using complex wave vector fields, including evanescent and plasmonic waves. The approach offers efficient and accurate results, especially for large particles where other methods fail.

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    Area of Science:

    • Electromagnetism and Optics
    • Computational Physics
    • Nanophotonics

    Background:

    • Vector spherical wave functions are used for analyzing electromagnetic fields.
    • Complex wave vector fields encompass evanescent and plasmonic waves.
    • Accurate calculation of optical forces and torques is crucial for nanophotonics.

    Purpose of the Study:

    • To derive explicit partial wave coefficients for complex wave vector fields.
    • To develop an efficient numerical method for evaluating these coefficients.
    • To apply the method for calculating optical forces and torques on particles in plasmonic fields.

    Main Methods:

    • Expansion of unit dyadic in terms of vector spherical wave functions.
    • Development of a recurrence method for numerical evaluation of partial wave expansion coefficients.
    • Validation through comparison with the conventional projection approach and existing results.

    Main Results:

    • Explicit partial wave coefficients derived for complex wave vector fields.
    • A recurrence method provides efficient numerical evaluation up to arbitrary order.
    • Optical forces and torques calculated for particles in plasmonic fields, including large particle sizes.
    • Optical torque direction dependence on field polarization and particle radius observed.

    Conclusions:

    • The proposed method is an efficient tool for scattering of generic electromagnetic fields.
    • The approach is validated and shows perfect agreement with previous results for optical forces.
    • The method successfully calculates optical forces and torques for large particles where conventional methods struggle.
    • Insights into the behavior of optical torque with varying particle radius and field polarization are gained.