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Related Concept Videos

State Space Representation01:27

State Space Representation

The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
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Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
08:39

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

Published on: January 28, 2019

Holographic representations of space-variant systems using phase-coded reference beams.

T F Krile, R J Marks Ii, J F Walkup

    Applied Optics
    |February 23, 2010
    PubMed
    Summary
    This summary is machine-generated.

    A novel holographic sampling method simplifies representing 2-D space-variant optical systems. This technique records system functions on a single plate, enabling digital or optical hologram production.

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    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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    Area of Science:

    • Optical Engineering
    • Holography
    • Image Processing

    Background:

    • Representing 2-D space-variant optical systems is complex.
    • Existing methods may have limitations in straightforward implementation.

    Purpose of the Study:

    • To present a new holographic implementation of a sampling technique.
    • To enable straightforward representation of 2-D space-variant optical systems.

    Main Methods:

    • Utilizing phase-coded reference beams to record sample transfer functions.
    • Recording the required set of functions on a single holographic plate.
    • Leveraging a method that does not essentially depend on volume effects in the recording medium.

    Main Results:

    • Demonstrated a straightforward representation of 2-D space-variant optical systems.
    • Successfully recorded necessary transfer functions on a single holographic plate.
    • Showcased the ability to produce holograms digitally and optically.

    Conclusions:

    • The proposed holographic sampling technique offers a simplified approach for 2-D space-variant optical system representation.
    • The method's independence from volume effects allows for flexible hologram production.
    • Preliminary investigations support the feasibility and potential of this technique.