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Related Concept Videos

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Related Experiment Video

Updated: Jun 15, 2026

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
09:43

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

Optical transfer function synthesis: a geometrical optics approach.

H H Barrett, M Y Chiu, S K Gordon

    Applied Optics
    |March 10, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Researchers demonstrate that a pure-phase pupil function can create any desired optical transfer function (OTF) or point spread function (PSF) in incoherent optical systems. This method offers precise control for advanced optical processing applications.

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    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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    Published on: August 12, 2013

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    Last Updated: Jun 15, 2026

    Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
    09:43

    Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

    Published on: March 20, 2017

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
    12:14

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

    Published on: August 12, 2013

    Area of Science:

    • Optics
    • Optical Engineering
    • Image Processing

    Background:

    • Incoherent optical processing systems rely on specific pupil functions to achieve desired imaging characteristics.
    • Controlling the optical transfer function (OTF) and point spread function (PSF) is crucial for image fidelity.

    Purpose of the Study:

    • To demonstrate the feasibility of designing pure-phase pupil functions for arbitrary OTF/PSF generation.
    • To provide a general method for synthesizing such pupil functions.
    • To illustrate the application with a specific example for transaxial tomography.

    Main Methods:

    • Utilizing the principles of geometrical optics.
    • Developing a general prescription for calculating the required pure-phase pupil function.
    • Deriving analytical solutions for power-law point spread functions (PSFs).

    Main Results:

    • It is theoretically possible to design a pure-phase pupil function to achieve any desired OTF or PSF within geometrical optics.
    • A general method for synthesizing these pupil functions is presented.
    • Analytical results for power-law PSFs are obtained.

    Conclusions:

    • Pure-phase pupil functions offer a powerful tool for controlling imaging properties in incoherent optical systems.
    • The presented methodology enables the design of custom pupil functions for specific applications, such as transaxial tomography.
    • Fabrication and testing of a logarithmic phase plate confirmed the practical applicability of the approach.