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Node Analysis for AC Circuits

Consider an angioplasty system featuring a catheter equipped with a turbine, a critical tool for removing plaque deposits from coronary arteries. This intricate medical device operates using a circuit model reminiscent of a dual-node RLC circuit powered by a current-controlled voltage source.
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Related Experiment Video

Updated: Jun 19, 2026

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

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Published on: August 12, 2013

High-order harmonic generation with an annular laser beam.

J Peatross, J L Chaloupka, D D Meyerhofer

    Optics Letters
    |October 22, 2009
    PubMed
    Summary

    High-order harmonic generation was achieved using an annular laser beam. This method concentrates harmonics on the laser axis, enabling their separation from the fundamental laser light.

    Area of Science:

    • Physics
    • Atomic, Molecular & Optical Physics

    Background:

    • High-order harmonic generation (HHG) is a key process for producing extreme ultraviolet (XUV) and soft X-ray radiation.
    • Traditional HHG methods often face challenges in separating the generated harmonics from the fundamental laser field.

    Purpose of the Study:

    • To demonstrate a novel method for efficient generation and spatial separation of high-order harmonics using an annular laser beam.
    • To enable selective filtering of harmonic radiation from the fundamental laser light.

    Main Methods:

    • Generation of high-order harmonics utilizing a focused annular laser beam.
    • Exploiting the on-axis peaking of harmonics due to nonlinear effects and shorter wavelengths.
    • Employing an aperture to block the fundamental laser beam while allowing the on-axis harmonics to pass.

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    Last Updated: Jun 19, 2026

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

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    Published on: August 12, 2013

    Direct Imaging of Laser-driven Ultrafast Molecular Rotation
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    Main Results:

    • Successful generation of high-order harmonics with an annular laser beam.
    • Observed strong peaking of harmonic emission along the laser axis.
    • Demonstrated effective spatial separation of harmonics from the fundamental laser beam using an aperture.

    Conclusions:

    • The annular laser beam geometry facilitates on-axis concentration of high-order harmonics.
    • This technique provides a straightforward method for isolating harmonic radiation, simplifying experimental setups.
    • The spatial separation capability opens avenues for advanced applications in XUV/soft X-ray spectroscopy and microscopy.