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Updated: Jul 12, 2025

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Integrated density of states algorithm for one-dimensional randomly layered optical media.

Glen J Kissel

    Optics Express
    |October 20, 2023
    PubMed
    Summary

    This study introduces a new method for calculating the density of states in disordered optical systems. The technique adapts existing methods to analyze Anderson localization in one-dimensional randomly layered media.

    Area of Science:

    • Condensed matter physics
    • Optical physics
    • Computational physics

    Background:

    • Anderson localization is a key phenomenon in disordered systems.
    • Simulations typically focus on localization length, not density of states.
    • Calculating density of states in disordered optical media is challenging.

    Purpose of the Study:

    • To adapt a method for calculating the integrated density of states for disordered optical systems.
    • To demonstrate the applicability of the modified technique on specific disordered optical models.
    • To provide a more accessible route to calculating the density of states in these systems.

    Main Methods:

    • Modification of a technique for calculating integrated density of states from disordered crystals.
    • Application to one-dimensional randomly layered optical media.

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  • Differentiation of the integrated density of states to obtain the density of states.

    • Main Results:

    • Successfully adapted the integrated density of states calculation method.
    • Demonstrated the algorithm on disordered quarter-wave stack and non-quarter-wave stack models.
    • The density of states is readily available through differentiation.

    Conclusions:

    • The modified technique offers a viable approach for calculating density of states in disordered optical systems.
    • This method enhances the analysis of Anderson localization beyond localization length.
    • The study provides a valuable computational tool for researchers in optical physics.