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Updated: Nov 7, 2025

Development of Whispering Gallery Mode Polymeric Micro-optical Electric Field Sensors
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Sum frequency generation from touching wires: a transformation optics approach.

Shimon Elkabetz, K Nireekshan Reddy, Y Sivan

    Optics Letters
    |April 30, 2021
    PubMed
    Summary

    We analyzed nonlinear wave mixing in plasmonic wires using transformation optics. Optimal efficiency for second-harmonic generation was found due to field overlap near the singularity.

    Area of Science:

    • Plasmonics
    • Nonlinear Optics
    • Transformation Optics

    Background:

    • Nonlinear wave mixing is crucial for optical applications.
    • Plasmonic nanostructures offer unique light-matter interactions.
    • Singular geometries present challenges and opportunities in optics.

    Purpose of the Study:

    • To analytically study nonlinear wave mixing in a singular geometry of touching plasmonic wires.
    • To obtain analytic solutions for both near-field and far-field properties.
    • To identify conditions for optimal nonlinear wave mixing efficiency.

    Main Methods:

    • Employing transformation optics for analytical solutions.
    • Solving for near-field and far-field properties.
    • Investigating nonlinear wave mixing phenomena.

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    Main Results:

    • An analytic solution for near-field and far-field properties was obtained.
    • Optimal nonlinear wave mixing efficiency was observed for second-harmonic generation.
    • This optimal efficiency was traced to the spatial overlap of input fields near the geometric singularity.

    Conclusions:

    • Transformation optics provides an effective framework for analyzing nonlinear phenomena in singular plasmonic geometries.
    • Second-harmonic generation exhibits optimal efficiency in this configuration.
    • Field overlap at the singularity is the key mechanism driving enhanced nonlinear efficiency.