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Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
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Quadrant Fourier transform and its application in decoding OAM signals.

Chensheng Wu, Daniel A Paulson, Christopher C Davis

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    We introduce a novel Quadrant Fourier Transform (QFT) method using microlens arrays (MLAs) for simple, low-cost decoding of optical angular momentum (OAM) laser signals. This technique simplifies complex optical signal analysis for communications and imaging.

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    Area of Science:

    • Computational Optics
    • Optical Communications
    • Signal Processing

    Background:

    • Optical angular momentum (OAM) is crucial for advanced optical applications.
    • Current OAM decoding methods are often complex and expensive.

    Purpose of the Study:

    • To present a new, low-cost, and passive method for decoding OAM laser signals.
    • To demonstrate the utility of Quadrant Fourier Transforms (QFTs) implemented with microlens arrays (MLAs).

    Main Methods:

    • Utilizing quadrant Fourier transforms (QFTs) generated by microlens arrays (MLAs).
    • Analyzing optical intensity collected per quadrant area after MLA.
    • Implementing a simple OAM decoder with a pair of concatenated, offset MLAs.

    Main Results:

    • The proposed decoder effectively images OAM signals with four pixels per cell.
    • The method analyzes intensity reallocation and computes gradient curls.
    • Demonstrated a low-cost, compact, and simple OAM sensor.

    Conclusions:

    • The QFT-MLA approach offers a promising solution for passive OAM signal decoding.
    • This technique can significantly reduce the cost and complexity of OAM applications.
    • The method has potential for broader applications involving spatial complexity in optical signals.