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Phase space considerations for light path lengths in planar, isotropic absorbers.

Ian Marius Peters

    Optics Express
    |June 13, 2014
    PubMed
    Summary

    Fundamental limits for light path lengths in absorbers were calculated. The maximum path length depends on light entry and exit conditions, not the trapping mechanism, approximating the Yablonovitch limit for solar cells.

    Area of Science:

    • Optics
    • Condensed Matter Physics
    • Materials Science

    Background:

    • Understanding light propagation in absorbing materials is crucial for optical device design.
    • Light trapping techniques aim to increase the optical path length within absorbers.
    • Existing models provide approximations for light path limits.

    Purpose of the Study:

    • To calculate fundamental limits for light path lengths in isotropic absorbers.
    • To determine the influence of light trapping mechanisms on these limits.
    • To establish a theoretical basis for optimizing light absorption.

    Main Methods:

    • Calculation of fundamental limits based on occupied states in optical phase space.
    • Modeling light trapping phenomena (scattering, diffraction) as occupation of available states.

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  • Analysis of the dependence of path length limits on incidence and escape conditions.

    • Main Results:

    • The fundamental path length limit is independent of the specific light trapping mechanism.
    • The limit is solely determined by the conditions of light incidence and escape.
    • Maximum path length is achieved when all available states in phase space are completely filled.
    • The Yablonovitch limit (4dn²) is a strong approximation for stationary solar cells.

    Conclusions:

    • Theoretical limits for light path length in absorbers are established.
    • Light trapping mechanisms do not alter the fundamental path length limit.
    • Optimizing light incidence and escape conditions is key for maximizing absorption.
    • The findings provide a theoretical framework for designing advanced solar cells and other optical absorbers.