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Related Concept Videos

Margin of Error01:27

Margin of Error

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The margin of error is also called the maximum error of an estimate. The margin of error is the maximum possible or expected difference between the observed sample parameter value and the actual population parameter value. For proportion, it is the maximum difference between the value of sample proportion obtained from the data and the true value of population proportion. As the true value of the population parameter is not known, the margin of error is calculated using the sample statistic.
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Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...
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The sampling variability of a statistic is defined as how much the statistic varies from one sample to another. The sampling variability of a statistic is typically measured by measuring its standard error.
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Characterization of SiN Integrated Optical Phased Arrays on a Wafer-Scale Test Station
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Omnidirectional beam steering using aperiodic optical phased array with high error margin.

Dongwei Zhuang, Lanxuan Zhagn, Xiaochuan Han

    Optics Express
    |August 17, 2018
    PubMed
    Summary
    This summary is machine-generated.

    We developed a new algorithm to design aperiodic optical phased arrays for light detection and ranging and free-space communication. This design offers the widest steering range and narrowest beam divergence for optical phased arrays.

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    Area of Science:

    • Photonics and Optical Engineering
    • Applied Physics
    • Electrical Engineering

    Background:

    • Optical phased arrays (OPAs) are crucial for beam steering in applications like LiDAR and free-space communication.
    • Existing OPA designs often face limitations in scan range, beam divergence, and manufacturing tolerances.
    • Aperiodic designs offer potential advantages over traditional uniformly spaced arrays.

    Purpose of the Study:

    • To propose and design a novel aperiodic optical phased array (O-OPA) using a pattern-search-like algorithm.
    • To achieve enhanced performance metrics including scan range, side-lobe level, beam width, and element pitch.
    • To investigate the error tolerance of the designed aperiodic structure.

    Main Methods:

    • Development of a pattern-search-like algorithm for designing the aperiodic optical phased array.
    • Simulation and analysis of a 128-element isotropic O-OPA.
    • Characterization of key performance parameters: scan range, peak side-lobe level, minimum beam width, and mean pitch.
    • Analysis of the relationship between machine error and side-lobe level.

    Main Results:

    • The designed O-OPA achieved a scan range of ± 82°, a peak side-lobe level of -14.34 dB, a minimum beam width of 0.062°, and a mean pitch of 9.75 μm.
    • The O-OPA demonstrated the widest steering range, narrowest divergence, and largest mean pitch for 128 elements.
    • Minimum pitch can exceed 2.67λ to prevent cross-coupling.
    • The structure exhibits higher error tolerance compared to uniformly spaced counterparts.

    Conclusions:

    • The proposed pattern-search algorithm effectively designs high-performance aperiodic optical phased arrays.
    • The developed O-OPA surpasses existing designs in key performance metrics, enabling advanced applications.
    • The aperiodic design offers practical advantages in manufacturing and robustness against errors.