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    Area of Science:

    • Photonics and optical engineering
    • Waveguide theory
    • Materials science

    Background:

    • Coupled resonator optical waveguides (CROWs) are crucial for controlling light propagation.
    • Nonuniform CROW designs, termed 'CROW bottles', offer unique parameter distributions.
    • Designing CROW bottles for specific optical characteristics remains a challenge.

    Purpose of the Study:

    • To solve the inverse problem for CROW bottles.
    • To develop a simple analytical method for designing CROW bottles.
    • To achieve required group delay and dispersion characteristics in CROWs.

    Main Methods:

    • Formulating the inverse problem for CROW bottle design.
    • Developing an analytical method to determine CROW parameters.
    • Analyzing CROWs for specific group delay and dispersion profiles.

    Main Results:

    • A straightforward analytical method for CROW bottle parameter determination is presented.
    • The method successfully designs CROWs with constant group delay (zero dispersion).
    • The method also designs CROWs with linear group delay (constant dispersion).

    Conclusions:

    • The developed analytical method provides precise control over CROW bottle group delay and dispersion.
    • This work facilitates the engineering of advanced optical waveguide devices.
    • The findings are applicable to optical signal processing and communication systems.