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Second-harmonic generation in second-harmonic fiber Bragg gratings.

M J Steel, C M de Sterke

    Applied Optics
    |November 25, 2010
    PubMed
    Summary

    This study explores second-harmonic light generation in resonant gratings using a Green's function method. It reveals how phase shifts in gratings enhance light generation and discusses implications for optical fiber Bragg gratings.

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    Area of Science:

    • Nonlinear Optics
    • Solid State Physics
    • Photonics

    Background:

    • Second-harmonic generation (SHG) is a key nonlinear optical process.
    • Gratings are crucial for controlling light-matter interactions.
    • Understanding SHG in resonant gratings is vital for optical device development.

    Purpose of the Study:

    • To investigate second-harmonic light production in gratings resonant with the generated field.
    • To analyze the impact of grating uniformity and phase shifts on SHG efficiency.
    • To explore applications in optical fiber Bragg gratings.

    Main Methods:

    • Green's function approach for theoretical analysis.
    • Derivation of Green's function for uniform and nonuniform gratings.
    • Development of closed-form approximate expressions for SHG.

    Main Results:

    • Standard SHG results recovered and new limits for uniform gratings established.
    • Green's function for SHG in gratings with arbitrary phase shifts derived.
    • Approximate expressions for generated light at specific phase shifts obtained.

    Conclusions:

    • Phase-shifted gratings can significantly enhance second-harmonic light generation compared to uniform gratings.
    • The bandwidth of enhancement is analyzed, with implications for optical fiber Bragg gratings.
    • The study provides a theoretical framework for optimizing SHG in periodic structures.

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