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Related Concept Videos

Propagation of Waves01:07

Propagation of Waves

When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Plane Electromagnetic Waves I01:30

Plane Electromagnetic Waves I

The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
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Gauss's Law: Problem-Solving01:10

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Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area vector...
Interference and Diffraction02:18

Interference and Diffraction

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Gauss's Law01:07

Gauss's Law

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Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

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Related Experiment Video

Updated: Jun 15, 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

Free-space propagation of an aberrating Gaussian beam.

L Ronchi

    Applied Optics
    |March 6, 2010
    PubMed
    Summary

    This study explores approximate Gaussian beams with spherical aberration, offering insights into optical media characterization. Measuring aberration helps determine refractive index properties in graded-index materials.

    Area of Science:

    • Optics and Photonics
    • Wave Propagation
    • Materials Science

    Background:

    • Gaussian beams are fundamental in optics, but real-world applications often involve aberrations.
    • Spherical aberration, particularly third-order, significantly impacts beam quality and propagation.
    • Graded-index (GRIN) media with polynomial refractive index profiles are crucial in optical systems.

    Purpose of the Study:

    • To investigate approximate solutions to the wave equation representing Gaussian beams with third-order spherical aberration.
    • To establish a connection between these approximate solutions and beams propagating through specific GRIN media.
    • To propose a method for characterizing GRIN media using the spherical aberration of light beams.

    Main Methods:

    • Derivation of approximate wave equation solutions.

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  • Analysis of Gaussian beams subjected to third-order spherical aberration.
  • Modeling light propagation in media with a fourth-degree polynomial refractive index profile.

    • Main Results:

    • Identified approximate wave solutions corresponding to aberrated Gaussian beams.
    • Demonstrated that these beams approximate those from specific GRIN media.
    • Established spherical aberration as a measurable parameter for GRIN medium characterization.

    Conclusions:

    • Approximate Gaussian beam solutions with third-order spherical aberration are relevant for modeling optical phenomena.
    • The spherical aberration measure can quantify the fourth-order term in GRIN medium refractive index expressions.
    • This work provides a pathway for precise characterization of complex optical materials.