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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

Gaussian pulsed beams with arbitrary speed.

Stefano Longhi

    Optics Express
    |May 29, 2009
    PubMed
    Summary
    This summary is machine-generated.

    Gaussian beams can travel at any speed, faster or slower than light, in free space. These solutions represent standard beams or temporal diffracting fields in moving reference frames.

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    Area of Science:

    • Physics
    • Optics
    • Wave phenomena

    Background:

    • The scalar wave equation describes wave propagation.
    • Gaussian beams are fundamental solutions in optics.
    • Paraxial approximations simplify wave equations.

    Purpose of the Study:

    • To investigate Gaussian beam solutions to the scalar wave equation under a generalized paraxial approximation.
    • To explore the propagation speeds of these beams in free space.
    • To analyze the behavior of these solutions in moving reference frames.

    Main Methods:

    • Solving the homogeneous scalar wave equation.
    • Applying a generalized paraxial approximation.
    • Analyzing solutions in inertial reference frames.

    Main Results:

    • Gaussian beam solutions can propagate at arbitrary speeds (subluminal or superluminal).
    • In moving frames, these solutions appear as stationary Gaussian beams or temporal diffracting fields.

    Conclusions:

    • The generalized paraxial approximation allows for superluminal Gaussian beam propagation.
    • The observed phenomena depend on the chosen reference frame.