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Physical-optics propagation through curved surfaces.

Rui Shi, Christian Hellmann, Frank Wyrowski

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |September 11, 2019
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    Summary

    The local plane interface approximation (LPIA) accurately models light propagation through curved optical surfaces, even at micrometer scales. Its limitations were evaluated for complex optical scenarios like multi-reflection and internal resonance.

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    Area of Science:

    • Optics and Photonics
    • Computational Electromagnetics

    Background:

    • Curved surfaces are fundamental to optical systems like microscopy and microlens arrays.
    • The local plane interface approximation (LPIA) is a common method for modeling light propagation through curved surfaces.
    • The accuracy and validity of LPIA have not been thoroughly investigated.

    Purpose of the Study:

    • To evaluate the accuracy of the local plane interface approximation (LPIA) for modeling light propagation.
    • To compare LPIA results with the finite element method (FEM) for curved surfaces.
    • To identify the limitations of LPIA in specific optical scenarios.

    Main Methods:

    • Comparison of LPIA-derived fields with finite element method (FEM) results.
    • Analysis of LPIA accuracy on micrometer-scale curved surfaces.
    • Evaluation of LPIA performance in multi-reflection/transmission and internal resonance cases.

    Main Results:

    • LPIA demonstrates high accuracy for modeling fields on curved surfaces, even at micrometer scales.
    • The study identifies specific limitations of LPIA concerning multi-reflection/transmission and internal resonance phenomena.
    • FEM serves as a benchmark for validating LPIA's performance.

    Conclusions:

    • LPIA is a highly accurate and efficient method for modeling light propagation through curved optical surfaces.
    • Understanding LPIA's limitations is crucial for its reliable application in complex optical designs.
    • Further research can refine LPIA for advanced optical simulations.