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Determination of dissipative Dyakonov surface waves using a finite element method based eigenvalue algorithm.

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    A new finite element method precisely analyzes dissipative surface waves, enabling thorough loss property examination. This method efficiently studies Dyakonov surface waves in hyperbolic media, revealing trade-offs between propagation loss and field confinement.

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    Area of Science:

    • Electromagnetics and Optics
    • Materials Science

    Background:

    • Surface waves are crucial for optical and electronic devices.
    • Analyzing dissipative media and complex wave propagation presents significant challenges.
    • Dyakonov surface waves (DSWs) offer unique properties at dielectric-metamaterial interfaces.

    Purpose of the Study:

    • To develop a robust computational method for analyzing surface waves in potentially dissipative media.
    • To investigate the propagation characteristics and loss properties of DSWs at a dielectric-hyperbolic medium interface.
    • To optimize computational efficiency in wave propagation analysis.

    Main Methods:

    • A full-vectorial finite element method (FEM) is employed.
    • The method precisely determines complex-valued propagation constants for dissipative waves.
    • Implicit circular block matrix properties are utilized to reduce computational load.

    Main Results:

    • The FEM accurately analyzes surface waves, including dissipative ones, in various media.
    • DSWs at a dielectric-metal-dielectric multilayered (MDM) hyperbolic medium interface are characterized.
    • A trade-off is observed: larger MDM periods reduce propagation loss but decrease field confinement.

    Conclusions:

    • The developed FEM is a powerful tool for analyzing complex surface wave phenomena.
    • Understanding the interplay between MDM structure and DSW properties is vital for device design.
    • The findings provide insights for optimizing optical and electronic devices utilizing surface waves.