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Surface-roughness-induced contradirectional coupling in ring and disk resonators.

B E Little, J P Laine, S T Chu

    Optics Letters
    |January 1, 1997
    PubMed
    Summary
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    Random surface roughness in periodic structures causes enhanced reflections, potentially harming traveling-wave resonator performance. This analytical study investigates these effects and their impact on resonant peaks.

    Area of Science:

    • Optics and Photonics
    • Materials Science

    Background:

    • Periodic structures like dielectric rings and disks are crucial in optical devices.
    • Surface roughness is an unavoidable imperfection in fabricated structures.
    • Understanding light propagation and reflection is key to device performance.

    Purpose of the Study:

    • To analytically investigate the impact of random surface roughness on reflections in periodic structures.
    • To understand the phase matching of forward- and backward-propagating modes due to roughness.
    • To analyze the detrimental effects of enhanced reflections on traveling-wave resonators.

    Main Methods:

    • Analytical modeling of electromagnetic wave propagation.
    • Derivation of reflection coefficients considering surface roughness.

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  • Analysis of mode coupling and resonant peak behavior.
  • Main Results:

    • Random surface roughness inherently phase matches forward- and backward-propagating modes.
    • Small reflections are significantly enhanced due to this phase matching.
    • Contradirectional coupling caused by roughness leads to resonant peak splitting.

    Conclusions:

    • Surface roughness in periodic dielectric structures is a critical factor affecting optical performance.
    • Enhanced reflections and resonant peak splitting impair traveling-wave resonator functionality.
    • Analytical insights are provided into managing these roughness-induced effects.