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Related Concept Videos

Bessel Function of Order Zero01:20

Bessel Function of Order Zero

A common physical example of wave propagation with radial symmetry is the ripple formed when a stone is dropped into a still pond. The disturbance originates at a central point and travels outward as a circular wave. As the radius of the wavefront increases, the same initial energy is distributed along a progressively larger circumference. Consequently, the amplitude, or height, of the wave decreases with distance from the center. This decay behavior cannot be captured by simple sine or cosine...
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
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.
The EM field is assumed to be a...
Generating Electromagnetic Radiations01:10

Generating Electromagnetic Radiations

The German physicist Heinrich Hertz (1857–1894) was the first to generate and detect certain types of electromagnetic waves in the laboratory. Starting in 1887, he performed a series of experiments that confirmed the existence of electromagnetic waves and verified that they travel at the speed of light. Hertz used an alternating-current RLC (resistor-inductor-capacitor) circuit that resonated at a known frequency and connected it to a loop of wire. High voltages induced across the gap in the...
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Polar Coordinates: Problem Solving

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Spherical and Cylindrical Capacitor

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Related Experiment Video

Updated: Jun 22, 2026

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

Efficient generation of truncated Bessel beams using cylindrical waveguides.

Vladimir S Ilchenko, Makan Mohageg, Anatoliy A Savchenkov

    Optics Express
    |June 18, 2009
    PubMed
    Summary

    This study demonstrates efficient conversion between Gaussian and Bessel beams using optical waveguides and resonators. High-order Bessel beams (order 200) were generated with over 10% efficiency.

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    Last Updated: Jun 22, 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

    Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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    Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

    Published on: November 30, 2012

    Area of Science:

    • Optics and Photonics
    • Waveguide Technology
    • Beam Shaping

    Background:

    • Gaussian beams are fundamental but lack self-reconstruction properties.
    • Bessel beams offer unique propagation characteristics but are challenging to generate.
    • Efficient beam conversion is crucial for advanced optical applications.

    Purpose of the Study:

    • To develop an efficient method for converting Gaussian beams into high-order Bessel beams.
    • To investigate the use of cylindrical optical waveguides and whispering gallery mode resonators for this conversion.
    • To achieve high conversion efficiency for Bessel beams of significant order.

    Main Methods:

    • Utilized cylindrical optical waveguides as the primary optical element.
    • Integrated whispering gallery mode resonators to enhance beam generation.
    • Employed a generator combining waveguides and resonators for beam conversion.

    Main Results:

    • Successfully generated Bessel beams with an order as high as 200.
    • Achieved a conversion efficiency exceeding 10% for the generated Bessel beams.
    • Demonstrated the feasibility of the waveguide-resonator system for efficient beam transformation.

    Conclusions:

    • The proposed waveguide-resonator system provides an effective means for efficient Gaussian to Bessel beam conversion.
    • This method enables the generation of high-order Bessel beams with practical efficiencies.
    • The findings have implications for applications requiring tailored beam propagation characteristics.