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Related Concept Videos

Anatomy of the Eyeball01:20

Anatomy of the Eyeball

The eye is a spherical, hollow structure composed of three tissue layers. The outer layer — the fibrous tunic, comprises the sclera — a white structure — and the cornea, which is transparent. The sclera encompasses some of the ocular surface, most of which is not visible. However, the 'white of the eye' is distinctively visible in humans compared to other species. The cornea, a clear covering at the front of the eye, enables light penetration. The eye's middle layer, the vascular tunic,...
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Updated: Jun 12, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Published on: January 28, 2019

Pupil function design algorithm for bipolar incoherent spatial filtering.

J N Mait, W T Rhodes

    Applied Optics
    |June 16, 2010
    PubMed
    Summary
    This summary is machine-generated.

    A new iterative algorithm designs pupil functions for bipolar point spread functions in spatial filtering systems. This method generates bias functions with less energy than prior analytic approaches, improving system efficiency.

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    Area of Science:

    • Optical Engineering
    • Image Processing
    • Computational Optics

    Background:

    • Designing pupil functions is crucial for synthesizing specific point spread functions (PSFs) in optical systems.
    • Incoherent spatial filtering systems require effective methods for generating bipolar PSFs.

    Purpose of the Study:

    • To introduce a novel two-step iterative algorithm for designing pupil functions.
    • To synthesize bipolar point spread functions (PSFs) in a two-channel incoherent spatial filtering system.

    Main Methods:

    • Utilized the method of projections onto convex sets (POCS) to determine system pupil function bias.
    • Employed iterative application of magnitude and finite support constraints to obtain coherent spread function phase.
    • Applied Fourier transformation to realize pupil functions from established coherent spread functions.

    Main Results:

    • Successfully designed pupil functions for bipolar PSFs using the iterative algorithm.
    • Compared results for a 2-D bandpass filter with analytically obtained data.
    • Demonstrated that the iterative algorithm yields bias functions with lower energy compared to analytic methods.

    Conclusions:

    • The developed iterative algorithm offers an efficient approach for designing pupil functions for bipolar PSFs.
    • The algorithm's bias functions exhibit reduced energy, suggesting potential improvements in spatial filtering systems.