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    A new generalized effective index method (gEIM) overcomes limitations of the conventional effective index method (EIM) for optical waveguide analysis. This improved technique accurately models modes near cutoff, crucial for photonic crystal waveguides.

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    Area of Science:

    • Photonics and Optical Engineering
    • Computational Electromagnetics
    • Materials Science

    Background:

    • The effective index method (EIM) is a semi-analytical technique for analyzing 2D optical waveguides.
    • Conventional EIM struggles with regions below cutoff and loses accuracy for near-cutoff modes.
    • These limitations are particularly problematic for waveguides on 1D photonic crystals.

    Purpose of the Study:

    • To develop a generalized effective index method (gEIM) that addresses the cutoff limitations of conventional EIM.
    • To accurately analyze 2D optical waveguides, especially those operating near cutoff.
    • To provide a computational tool for designing waveguides on 1D photonic crystals.

    Main Methods:

    • Proposed a generalized effective index method (gEIM) incorporating cutoff phenomena.
    • Implemented gEIM as a free Windows-based computational program.
    • The method performs two sequential 1D calculations to analyze 2D waveguide structures.

    Main Results:

    • The gEIM successfully accounts for waveguide regions below cutoff.
    • Improved accuracy for analyzing modes near the cutoff frequency.
    • The software computes both effective refractive indices and spatial mode profiles.

    Conclusions:

    • The developed gEIM offers a robust solution for analyzing 2D optical waveguides, particularly near cutoff.
    • This method is highly beneficial for designing 2D waveguides integrated with 1D photonic crystals.
    • The free software provides an accessible tool for researchers and engineers in optical waveguide design.